diff --git "a/data/dm_maths/full_data_1/2495_11255.jsonl" "b/data/dm_maths/full_data_1/2495_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2495_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express 8 + 10 - 5 - 2*t - 28 as a + w*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 922720 and 790.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 9) in base 2?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31081931702 minus -14.36?\nAnswer: -31081931687.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1319028 rounded to 3 decimal places?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 6*s + s)*(-2*s + 2*s - 2*s)*(6*s**2 + 8*s**2 - 4*s**2) as x*s**3 + k*s + g + h*s**2 + r*s**4 and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2159 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 66, 80, 74, 42?\n\"Answer: -f**3 - f**2 + 38*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-2\/21)*a*a)\/a)\/a)\/a)**(-28)\/(a\/a**(-5\/7))**(-18\/13) assuming a is positive.\nAnswer: a**(9020\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:42 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-38)\/42 - -1) + (-2576)\/294 and -56\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 2*h**2 + 0*h + (2*h + 0 + 0)*(-h - 5*h + 2*h) + 2*h**2 - h**2 + 0*h**2)*(10*h - 39*h - 44*h) in the form n*h + o*h**3 + z + g*h**2 and give o.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 14*w**2 - 13*w - 39. What is the tens digit of v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u = -5. Suppose 3*l = u*l - 120. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 + 80. Is -140 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6688 - 6685. Solve -z*q = 71 - 74 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(1071600\/(-190)))\/((-9)\/24*12\/27)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, i: 10}. Give prob of picking 3 v.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 161. Let o be l(-25). Solve -64 = -o*p - 31 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -645 and 101.22.\nAnswer: -543.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**4*s))\/(s**(3\/7)\/s)*(s*s**(2\/3))**(-2\/27) assuming s is positive.\nAnswer: s**(2522\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4268497?\nAnswer: 389, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76) + 1*sqrt(76)*1 + sqrt(76) + 1 + 0)**2 + -4.\nAnswer: 24*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3642551 or -3642547?\nAnswer: -3642551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 - 256130517*a + 256130520 = 0. Calculate a.\nAnswer: -85376840, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.297 + 1.453. Let t = q - -6.25. Which is the biggest value? (a) t (b) 0.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**2 - 12*n + 11. Let s(a) = -8*a**2 + 12*a - 12. Let c(y) = 7*k(y) + 6*s(y). Let r(z) be the first derivative of c(z). Differentiate r(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*g - 0*x + 8, 0 = -3*g - 5*x + 16. Is 189 + (0 - g\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.3 - 14. Let b = -4 + 3. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + -2*(-1)\/2. Suppose -u = -6*u + 15. Suppose -w = 2*w + u. Which is the third biggest value? (a) 0.2 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 8*j + 6. List the prime factors of i(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose -d - 6 = -r*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1764*b**2*f**3 + 31*b**2*f**2 + 5*b**2 + 9*b*f**3 - 805*b*f**2 + 2*b wrt b.\nAnswer: 3528*f**3 + 62*f**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 7. Let c be l(9). Suppose 3*z = c + 79. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m - 5*v + 196, -2*m - 2*v = -392. Suppose 115 = 4*l - i, -5*l + 2*i = -m + 50. Let s = l - 11. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2196\/93247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6141 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:44 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8508491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 400 - 398. Solve -5*o + o = 5*p + 5, d*o + 3*p = -3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8277 + -5?\nAnswer: -8280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 120948.\nAnswer: 1\/5, 1, 120948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 3. Let y(o) = 6*o + 4. Let q be (-1 + 6)*(-6)\/(-5). Let b = 15 + q. Suppose 0 = -4*v + 5*h + b, 3*h = -2*v + h + 6. Determine v*j(d) - 3*y(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:58 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 13030233001?\nAnswer: 13030232333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17743?\nAnswer: 11, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:29 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 229*u**4 + 159*u**2 + 7. Let d(r) = -115*r**4 - 79*r**2 - 4. Let k(c) = -7*d(c) - 4*m(c). What is the third derivative of k(s) wrt s?\nAnswer: -2664*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9147 * -0.1\nAnswer: -914.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 9. Let q be (-5 + 2)*19\/(-3). Suppose -3*i - 4*w + q = -7, 2*w - 8 = i. What is the greatest common divisor of x and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 11) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 2*d - 2. Let l be x(-1). Suppose 2*h + 7*h**2 + 10550*h**4 + 3*h**3 + h**3 - l*h**2 - 10549*h**4 = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b + 7*b**2 - 122 + 122 wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*f - 5*c + 10, 3*c = 5*f - 144. Calculate the least common multiple of (-24)\/f*-8 + (-3)\/(-5) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Calculate the lowest common multiple of 8 and 88\/12 + c\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/300 - n**4\/24 + n**3\/5 + 5*n**2 + 2*n. Factor y(s).\nAnswer: -(s - 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 1. Let r be n(1). Suppose r*h - 5*g - 640 = 0, -h + 71 + 77 = 3*g. Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-64))\/((-36)\/32*-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 3 (c) -0.2 (d) -0.1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -5 - (3 - 1). Suppose 1 = -0*m + m. Let s(d) = m + 2*d - 2 - 4*d + 2*d**2. Give s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2313, -4630, -6949, -9270, -11593?\n\"Answer: -x**2 - 2314*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2718556916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*r = -181, -2*r - 2*r = -5*u - 314. Let b = -36 - u. Suppose w = 48 - 43. Solve -w*x + 2*i = b, 0 = 4*x - i + 32 - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2457972 divided by 6207.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -226 (b) 2\/9 (c) 3 (d) 0.1 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52743241 is divided by 1901.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 rounded to 0 dps?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*z + 18801 - 71901 = 1250*z + 292*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 - (-2 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-107)\/(-3))\/(1\/3). Let o = x - 75. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 713636.6 litres?\nAnswer: 713636600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwzw when four letters picked without replacement from {w: 3, z: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 25 + 35 = 0. Suppose -2*g + 5*g + m = 0. Let v(k) = -k**3 - 4*k**2 - 3*k - 1. Let u be v(-3). Sort 3, g, u in descending order.\nAnswer: 3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 55*y + 33 = 0. Let u = 87 - 92. Let k = -1 - -3. Put -4, u, y, k in decreasing order.\nAnswer: k, y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4970*d + 800172. What is w(161)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*-0.3.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*n = 14, -n + 16 = 5*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 8442?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 7. Let j(k) = 5*k**2 + 9*k + 27. Let m(y) = -9*i(y) + 2*j(y). Differentiate m(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*((-5 - 8 + 5)*(0*t**2 + t**3 + 0*t**2) - 11815*t + 163*t**3 + 11815*t).\nAnswer: -155*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(-15)\/27 - (-1794)\/8073.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 15. Let d = s - -4. What is the biggest value in -1\/4, d, 1\/10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (392\/224)\/((-21)\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (131 - 141).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 4. Let p(d) be the first derivative of -d**3\/3 - 5*d**2\/2 - 2*d - 13. Let q be p(-4). Let z be (6\/4)\/(1\/q). What is u(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*g**5 + 2*g**5 - g**4 + g**4 + (4*g**3 - 3*g**3 - 3*g**3)*(-2*g**2 - 3*g**2 + g**2).\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 17*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) - (0 + sqrt(180)))**2 + 5 - (-5*((sqrt(1250) + sqrt(50))\/sqrt(10) + sqrt(5) + -1))**2.\nAnswer: -6148 + 350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -8, -257, 4, 0.05, -3\/8 in ascending order.\nAnswer: -257, -8, -3\/8, 0.05, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/(-39))\/6 + 1. Let k = 17\/39 + g. Let x be 42\/72 + (-2)\/6. Which is the nearest to x? (a) -2 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3 = -4*h - 5*k, -2*h = 4*k - 8. Suppose 188 = h*n - 3*s, -9 = -2*s - 1. Does 26 divide (-6 - n\/(-15)) + 932\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33511489\/2 > 16755744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from dhydqqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-2\/5)*m))**(-23)\/(m**(-2\/3))**24 assuming m is positive.\nAnswer: m**(241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + -2 + 0. Let r(s) be the third derivative of s**4\/12 + s**3\/2 - 2*s**2. Give r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**3 - 2046*y**2 - 4644*y - 1160.\nAnswer: -(y + 2)*(y + 290)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*r*y**4 + 4*r*y**2 - 11*r*y + y**3 - 164*y wrt y.\nAnswer: 828*r*y**2 + 8*r + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/12 and 10*(-2)\/(-64) - 1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f9 (base 16) to base 12.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196999, 393981, 590963?\n\"Answer: 196982*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y - 1. Let k be t(5). Let v(q) = -q + 9. Let h be v(k). Suppose -5*m + h + 5 = 0. Solve 2*u + 20 = s + m*u, -s + 4*u = 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1909, -993, -75, 845?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 40796*w. Let i(o) = 6*o. Calculate i(s(q)).\nAnswer: 244776*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 10 - -15) + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -x - 4*d, 25 = -x - 296*d + 307*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14264\/3 - -97742\/21. Let o = -100 - m. Which is the closest to 1? (a) 0.2 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 422.1675 litres?\nAnswer: 422167.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 751*a**2*x**2 + a**2 - 12*a*x**2 + a*x + 7*x**2 wrt a?\nAnswer: 1502*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**5*v**3 - t**5 + 18*t**2*v - 32*t + 3*v**3 wrt t?\nAnswer: 120*t**3*v**3 - 20*t**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 20*t**2 + 17*t**2 - 13*t**2 + 16*t**2.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 51*p + 5746. Let t be o(-66). Is 2382 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398824316.\nAnswer: 2, 11, 2731, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j**2 - 11*j - 19. Let y(k) = 4*k**2 - 2*k - 4. Let z(w) = -2*g(w) + 11*y(w). Let v(l) = -l. Give z(v(r)).\nAnswer: 2*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 147*t**2 - 134*t - 469. Determine w(48).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 4*v - 3. Let y be w(2). Let m(b) = 7*b - 2. Let c be m(y). Let i = -253 + c. What is i rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + (-312)\/(-130). Solve -2*j - q = -b, -j - 19 = -5*b - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1\/237, 129248, -3\/10 in decreasing order.\nAnswer: 129248, 3\/2, 1\/237, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -989280999 divided by 63?\nAnswer: -15702873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7))\/f**(-1)*f**(6\/7)\/f**(4\/5))\/(f*f*f\/f**(7\/3)*f**(2\/3)*(f\/(f*f\/f**(-2\/5)))**28) assuming f is positive.\nAnswer: f**(4222\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303059837?\nAnswer: 6277, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = n + 23, 37 = 3*m - 4*n. Let y be (11\/m)\/(2\/(-28)). Let l be (y\/(-35))\/((-12)\/45). Which is the nearest to -1? (a) 4 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - v**2 + 2. Let b be n(1). Let s be -2*1\/(-2) - b. Suppose -19 = -s*i + 80. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*a + 186 = 6*a, -172 = 4*b + 4*a. Let r = 3 - b. Suppose -5*o + 28 = -5*y + 3, -8 = -o - 2*y. What is the greatest common divisor of o and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 5*h)*(2*h**2 - 2*h**2 + h**2) - 33 + 257*h**2 - 257*h**2 - h**3.\nAnswer: h**3 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -10 (b) 0.023 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -764 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(19\/5)\/o)\/o)\/(o*o*o\/(o*o**32)))\/(o**(-2\/7)*o*o**(-31)) assuming o is positive.\nAnswer: o**(2173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 34 + 10 = 3*v, 0 = -2*v + 6. Suppose 0 = l*b - b - 230. Calculate the highest common factor of 184 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -31*d + 1. Let f(c) be the first derivative of 10*c**2 - 280. Give p(f(k)).\nAnswer: -620*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -35779 greater than or equal to -35780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199712.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7107.834 rounded to the nearest one hundred?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = 2*o. Let x = o + 4. Let y = 1963 - 1962.8. What is the third smallest value in x, y, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 5*n - 5*t = -24*n, 0 = 2*n + 11*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152 + 2*o**3 - 1152.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/21)\/(-43*(-180)\/180600)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 36*c - 42*c - j - 7, 0 = 15*c + 3*j + 39 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 940708*z + 2050200?\nAnswer: 940708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m - 2. Let f = 90 + -100. Let t be (-18)\/15*25\/f. Determine p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:14 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -14cf?\nAnswer: 14cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45196\/21 > 2153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1271137 and -1271238 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 7, -15?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4. Let k be i(0). Let g be k\/((-12)\/(-9)) + -1. Solve -3*v + 2*v + 3 = 3*t, v + 2*t = g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - a**3 + 3*a**3)*(-4 + 2 + 1)*(-1 + 3 - 3)*(78 + 31 + 36)*(1 - 2 + 3).\nAnswer: -290*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 17*d + 1. Let z(g) = -4*g. Calculate -2*a(q) + 9*z(q).\nAnswer: -2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/468534 and 69\/1045.\nAnswer: 44510730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 + 6*d + 1. Let w be t(-3). Let i = w + 17. Suppose 5*j - 122 = -r, 2*r + 2*r = -3*j + i. Solve 2*p - 7*p = -j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (696\/580)\/(31\/(155\/12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-180))\/(-78*(-136)\/1105)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 6*(-3)\/12*-4. Let d(u) = -114*u**3 - 2*u**2 - u - 8. Is d(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25190 = 40*q - 18*q. What is the remainder when q is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 201\/39 - 8\/52. Suppose -15901 = 3*u + b, 4*b - 3585 = -c*u - 30089. Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 - f**2 - 19*f + 5. Let m(y) = -y**3 + 4*y - 1. What is -11*m(o) - 2*p(o)?\nAnswer: o**3 + 2*o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-34317))\/((-2458)\/38099).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712848005.\nAnswer: 3, 5, 23, 31, 67, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -3)*5*-3 + -5.\nAnswer: -30*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239*j**4 + 52614*j**2 + 28746238.\nAnswer: -956*j**3 + 105228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s + 10. Let a(t) = 17*t + 3. Let q(z) = 16*z + 7. Let o(f) = -3*a(f) + 4*q(f). Let x(i) = -3*o(i) + 5*p(i). Determine x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -126. Is n > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddffdfffffffffff. Give prob of picking 2 f and 1 d.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52) + sqrt(520)\/(3*sqrt(10)) - sqrt(52) - (sqrt(364)*2)\/sqrt(7))\/(-6*-1*sqrt(484)*6).\nAnswer: -2 - 5*sqrt(13)\/1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 < 32063\/687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211513?\nAnswer: 31, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -11\/2, 3, 1\/6, -1\/3, 38.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -4*c**4\/3 + 18*c**2 + 34*c. What is the first derivative of l(t) wrt t?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 49 = -14. Sort z, -2, -3, -5.\nAnswer: -5, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -418, -834, -1250?\n\"Answer: -416*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-1)\/2*1. Suppose 4*k = 5*w - 54, w - 17*k = -15*k + 12. Suppose 0 = -4*s + i*g + 51, 5*g = 15 + w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 12.03. Let y = 12 - s. What is the closest to -0.2 in -5, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5656 + -904. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -94*o + 1589. Calculate k(15).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 354.4 - 63.4. Let o = 287 - r. What is the nearest to -0.06 in -2\/9, 2, o, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 95*x - 703. Let z be q(13). Solve -z*r + 14*r - 22 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:04 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700960.\nAnswer: 2, 5, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/600*-4)\/(2\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-8 + 1 - (-14 - -11)). Let o(k) = k**3 - 7*k**2 + 4*k + 21. Let b be o(d). Let q = b + -101. Calculate the remainder when 141 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28973, 57944, 86917, 115892, 144869, 173848, 202829?\nAnswer: 231812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105212*h - 152605 with respect to h.\nAnswer: -105212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*u + 75*u - 2587. Let t = u + -191. Let b be (1 - -4)*2\/5. Solve 0*g = -b*g + t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u + 11. Let j(k) = 6*k - 4. Let b(p) = -11*j(p) - 4*t(p). Let q(g) = -3*g. Give q(b(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -572, 10, 0 in descending order.\nAnswer: 10, 0, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a6b - -4409?\nAnswer: 5177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*a - 0*a. Suppose -a + 2 = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36600*r**4 - 31348 wrt r.\nAnswer: -146400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3779*w**2 + 7384*w**2 + 15476*w**2 + 139*w**2.\nAnswer: 19220*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 652*z - 345*z - 344*z + z**2. Let b(g) = -4*g**2. Calculate b(u(f)).\nAnswer: -4*f**4 + 296*f**3 - 5476*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - 1 - (-7 + (134 - 119)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 6*s + 19*s to the form t + k*s and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0 - sqrt(363) - sqrt(363))**2 + sqrt(363) + (sqrt(75) + -1)**2.\nAnswer: sqrt(3) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141953263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16 - 1 - 547*y - 230*y - 73*y. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169\/249 + 1\/83. Let f be (-2 - -3)*(-3 - 1). Let r = f + 3. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 33, 48, 51, 36, -3, -72, -177?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-2))\/((-2)\/(-4)))\/((-10)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f - 2. Let k be x(3). Let i(v) = 4*v + v - k*v. Let u(c) = 4*c**2. What is u(i(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3175680 and 205?\nAnswer: 130202880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037213989 to six decimal places.\nAnswer: -0.003721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*b - 2420 = -366*b + 164*b. What is the greatest common factor of 2035 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*a + 95*a + 275. What is the highest common factor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221122 (base 3) to base 14\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847292 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1523505 (base 6) to base 14\nAnswer: -245c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpipppbpppppppbppppp. Give prob of picking 2 p and 2 b.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 + 2*r - 1. Let a be s(1). Let d be 14\/(-1)*a\/14. Suppose y + d = 54. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxwv when four letters picked without replacement from wvxvvqvvwwxq.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7128)\/(-55))\/36*(-130)\/(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -30*c**2 + 3*c - 3. Let j(x) = -31*x**2 + 2*x - 2. Give -9*j(r) + 6*n(r).\nAnswer: 99*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5463, -11003, -16579, -22161, -27719?\n\"Answer: 5*c**3 - 48*c**2 - 5431*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 + -115. Let s = p + 37. Suppose -s = -3*k - 3*k. Solve 5*g + k = 3*m + 62, 4*m = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2884\/(-18) + 0 + 24\/108. Let p = x + 101. Let y = -19 - p. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59224*o - 54756.\nAnswer: 59224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-13*y**2 + 35*y**2 + 124*y**2)*(-2*y - 1 + 1).\nAnswer: -292*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*n - 195, 24*n + 171 = 3*o + 29*n. Calculate the remainder when 991 is divided by o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u, a - 3*u + 15 = -a. Suppose -12 = -w - a. Let k = 18 - w. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/245119393 or 0?\nAnswer: 6\/245119393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/10 + 6\/(-15). Let a = n - 2. Let g be 2\/2 + (-7)\/a. Calculate the highest common factor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 1356 - 1851 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2222725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**4*w - 111*i**2*w + 2789*w wrt i?\nAnswer: -4*i**3*w - 222*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9)\/w)\/((w\/w**10)\/w))\/(w\/(w\/w**(-2\/9)))**(30\/11) assuming w is positive.\nAnswer: w**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18\/5*g**4 + 183\/5*g + 237\/5*g**3 + 9 - 483\/5*g**2 = 0. Calculate g.\nAnswer: -15, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-174)\/34 + 0 - -5. Let k = -89\/170 + 2\/85. What is the second smallest value in p, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64.14 in -11, -2\/13, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45339687 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 52 + 36 = 0. Suppose 125 = o*p + 4. What is the remainder when 19 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*w - 16935 = 0, -4*z - w - 2*w - 13575 = 0. Suppose -12046 + 46218 = -4*l. Let f = z - l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a9 (base 16) to base 7\nAnswer: -21264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1697\/4 + 424. Sort a, 2\/9, -11, -5 in decreasing order.\nAnswer: 2\/9, a, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*c + 45*c - 8*c**3 - 84*c + (0*c - 2*c**2 + 0*c)*(c - 2*c + 2*c) + c**3 + 4*c - 4*c to n*c**3 + y*c**2 + k + t*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24709140 and 3420?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326 divided by 1163?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-4)*(5 - 3). Let r = 30 - 19. Let l = r + c. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498689?\nAnswer: 498689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 - 38 = 0. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 77.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 15, -2*h + 4*h - 5*l = -19. Which is bigger: 0.15 or h?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.98296 to two dps.\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7687 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 49 = 15*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 686036 to the power of 1\/2, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x - 5. Let j be m(-8). Suppose -2*c + j*c = 29. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 47471043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(14)\/sqrt(7) - (sqrt(4)\/sqrt(2) + -1))**2 + -4*(3*sqrt(512))**2 + 5.\nAnswer: -18408 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54719224 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/7 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01263443027 rounded to 6 dps?\nAnswer: 0.012634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13108.\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488986717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4052455 + -3?\nAnswer: -4052460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 16\/(-6). Let g(z) be the first derivative of -z**4\/4 - z**3 - z**2 - z - 3. List the prime factors of g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2173 and -2171 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-81))\/(-7)*1*9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 619 - -463. List the prime factors of z.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, 8, 4 in ascending order.\nAnswer: -3, 4, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 18600759.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 879 and 612370.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46340 is divided by 7716.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012112 - -10112222?\nAnswer: 110202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u - 3*u)*((2 + 1 - 1)*(1 - 1 - u) - 5*u + 20*u + 3*u - 2*u + 0 + 1 + 0) to the form k + w*u**2 + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 290*s + 18525.\nAnswer: (s + 95)*(s + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 - 731432*g - 66874096328 = 0?\nAnswer: -182858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1183076, -1183046, -1183018, -1182992, -1182968, -1182946, -1182926?\n\"Answer: -g**2 + 33*g - 1183108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1 (c) -3 (d) 9 (e) 776\/7 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 31 - ((4 - 2) + 20 + -16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 287, -773, -2861, -6319, -11489, -18713?\nAnswer: -28333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 11745.\nAnswer: -58725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11105 (base 6) in base 5?\nAnswer: -22203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 265, 205, 115, -17, -203?\n\"Answer: -2*g**3 - 3*g**2 - 37*g + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23030727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25318678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6136, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 6*f)*(-3*f**2 + 3*f**2 + f**2) + 3*f**3 + 2*f**3 - 3*f - 3*f**3.\nAnswer: -2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**8\/112 + v**4\/24 + 2*v**2. Find the second derivative of o(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*u = 2108, 0 = -4*m - 9*u + 5*u + 2068. Suppose 3*f - 3*y = 1686, -f - y + m + 48 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - -1) + (28 - 26 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63475.83 days to milliseconds.\nAnswer: 5484311712000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6698174, 13396413, 20094652, 26792891?\nAnswer: 33491130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 131831792.6 and 1.5.\nAnswer: 131831794.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*y = 12 - 39, 2*c = -5*y - 3. Suppose 0 = 2*p + p - c. Solve 5*f + 27 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*a = -4, 4 + 2 = 4*m - a. Let q(f) = f. Let s(t) = -26*t**2 + 6*t. Let r(p) = m*s(p) - 6*q(p). Let b(d) = d**2. What is b(r(k))?\nAnswer: 676*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.0756389 - -0.162\nAnswer: 3.2376389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 16*s = -6, 5*d + 4*s - 102 = 0. Solve -d*z = -13*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 85. Let v = -4 + 6. Is v <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9853799, -9853799, -9853809, -9853835, -9853883, -9853959?\nAnswer: -9854069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 1. Let q(z) = -6*z**2 - 2*z + 5. Give -q(p) + 5*u(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and -69009014104.\nAnswer: -69009014103.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 2. Let d(r) = -r**2 - 46*r - 172. Let x be d(-42). Let j(i) = -2*i + 1. Give x*y(p) + 9*j(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185078.\nAnswer: 2, 7, 17, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.05, 1\/43, 1\/2, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (-77 - (-15 - -25 - 44)) + -4\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164018 is divided by 306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4368 and 5829264?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -3202, -9593, -21504, -40645?\nAnswer: -68726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 3*p**4 - 5*p**3 - 44*p**2 + 446006*p wrt p.\nAnswer: -20*p**3 - 36*p**2 - 30*p - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n + 546 = -98 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 47.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -55?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f + 6263. Is a(0) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26 (b) -22 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 + g**5\/5 + 3*g**4\/2 + 16*g**3\/3 + 5*g**2 - 3*g - 11. Find y, given that p(y) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 5*w**2 - 2*w - 12. Is k(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43743 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -207, -310?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1862505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 602423071 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -10416238?\nAnswer: -9\/10416238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57696, 57702, 57712, 57726, 57744, 57766?\nAnswer: 57792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064\/(-114)*1\/7.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaoh when four letters picked without replacement from {r: 1, o: 1, w: 2, u: 2, a: 2, h: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-100))\/(-23*(-10)\/14950)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-4)\/(-6)*(-20 + 8). Suppose w - 5*c = -h*c + 14, 0 = -2*c + 10. Solve s + 4*n = -13, 0 = -w*n + 4 - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 48. Determine r(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*l - 2, 0*d - d + l = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416248631 and 10767?\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m + 4. Let l be 4*(0 + -2)\/(-8)*-2. Let v be m\/1*l*9\/6. Let r(y) = y**3 - y**2 - 4*y. Calculate r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -30*i. Let h = -11 - -9. Let f be y(h). Suppose -3*j - 25 - f = -5*s, j + 34 = 2*s. Calculate the highest common factor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 1, 3*d - 2*o - 3*o - 71 = 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 w = -565 - -565.309. Let g = -1.779 + w. Let i = 1.46999869 + g. What is i rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5 (c) -1 (d) 5\/4 (e) -483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 962582 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (3 + 0)\/(-1). Let f be ((-6)\/(-5))\/(u\/(-30)). Suppose f*c - 5*a - 20 = 0, -4*c - 4*a - 15 = -35. Put c, 4, -0.2 in descending order.\nAnswer: c, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0095 - 1.7437.\nAnswer: -1.7532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1880 = -985. Suppose 5*b - 40 = u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00828709626 rounded to four decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2197 = -15614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from azkzaaaaazaaaazazz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m**3 - 3*m**4 + 2 - 19*m**3 - 2*m**2 - 16*m**3 - 2*m + 62*m**3 in the form t*m**2 + z + v*m**3 + d*m + w*m**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Let j(g) = 3 - z - 2 + 4*g. List the prime factors of j(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2726 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.714024 rounded to 1 dp?\nAnswer: 24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -539, -1198, -2109, -3266?\nAnswer: -4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63918804 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421 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 k(f) = 6*f. Suppose 2*o - 2*y = 8, -o + 3*y - 8 = -2*o. Suppose -4*a - 13 = -o*u, -3*a - 9 = -0*a - 3*u. Calculate k(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*t + 1187538*o**3 + 497*o**2*t + 269 wrt o.\nAnswer: -6*t + 7125228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*p - 7, -2*z = 2*z - p - 46. Solve 0 = -8*o + z - 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 39*m = d, 3*d - 2*m - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21033 (base 4) to base 8.\nAnswer: -1117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.34 + -23.15205?\nAnswer: -9.81205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + 4)\/((-1)\/(-65))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j*x**4 - 8*j*x**3 + 73*j + 2*x**4 - 3*x**2 wrt x?\nAnswer: 96*j*x - 48*j + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 c, and 1 n when four letters picked without replacement from {c: 5, n: 1, k: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g = 5*h - 21 + 306, 3*h = -2*g + 2*h + 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 6*j = 1785. Calculate the smallest common multiple of j and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 9\/7 (c) -2\/13 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347214947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3210 is divided by 1048.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((120\/108)\/10)*(-2)\/99\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 28\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3604)\/53)\/(-136)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 2, m: 6, a: 3, d: 1, i: 4, x: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8040*v - 16101. What is w(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (612*w**2 + 440*w**2 + 44*w**2)*(3*w**2 + w**2 - w**2).\nAnswer: 3288*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 9)*-5 + (0 - 4). Suppose 6*v + w = 74. Let s(y) = -2*y**3 + 3*y**2 + 2*y - 1. What is s(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/15, -4, -0.05, -29\/16?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-40))\/(12\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000014167666 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + 2*q**2 - 2*q + 1. Let x be g(1). Let h(o) = -5*o - 2*o**3 - 2 - 6*o**2 + 0*o**3 + o**3 + x. Calculate h(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 a factor of 9645454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/41687, -5, -31 in decreasing order.\nAnswer: -1\/41687, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 550 or 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*k - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20250012 + -0.5.\nAnswer: 20250011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -49, -2\/11, 0.2.\nAnswer: -49, -0.3, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100265305 (base 7) to base 6\nAnswer: -324343504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t, 2*f + 2*t - 20 + 8 = 0. Suppose 10*s = 14*s + k - 57, 4*k = f*s - 66. Calculate the highest common factor of 434 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -877 (base 11) to base 4\nAnswer: -100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/8795 + 290503\/589265. Find the common denominator of w and 64\/11*18\/(-24).\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 16453\/23573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**7\/336 - g**6\/80 + g**5\/80 + g**4\/48 - g**3\/16 + g**2\/16 + 108*g. Let h(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2748, -2888, -3028?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3*(9 + -1). Let u be b\/(-2)*9\/12. Find the common denominator of u\/(-7) + 1233\/504 and -81\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 12426 + 12391 = 0. What is the closest to 2 in r, -4, -4.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 + 6*g - 4. Let n be (-4)\/(-10) - 99\/(-15). Let z(v) = -5 - n - v + 13 - v**2. What is -d(q) - 6*z(q)?\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = -11714*k + 11726*k for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 196243513 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, -69, 0.09 in increasing order.\nAnswer: -363, -69, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from yurruryyuyryryyy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 8:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 6 = -24*z. Let p(r) be the third derivative of -1\/160*r**z + 1\/6*r**3 + 0 + 0*r**4 + 0*r - 7\/240*r**5 + 3*r**2. Suppose p(x) = 0. What is x?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -122 (c) -3\/2 (d) 1\/2 (e) 576 (f) -4 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-238242)\/66 + (-4)\/(-2). Let n = k - -3605. Let z = 134\/33 + n. Which is the biggest value? (a) -2\/5 (b) 2\/13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in 0.5, 2.2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17182114*y**3 + 35792*y**2 - 10*y + 5.\nAnswer: -103092684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) -526802 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 - s + 1. Let q be t(1). Let k = 25 + -31. List the prime factors of -3 + q\/(k\/117).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(425) + 0)**2 - (sqrt(153) + -1)*3*-6.\nAnswer: 54*sqrt(17) + 1682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 10)\/(3\/5349) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 + 23*x - 23*x + 8*x**2 - 15*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaniaonyonyaynqyani. Give prob of picking 1 i and 1 o.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 + 0 = 0. Let d be ((-2)\/(-2))\/(g\/(-2)). Find the first derivative of -d - 2*l - 3 + 6 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, 219, 320, 417, 510, 599?\n\"Answer: -2*c**2 + 111*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -102?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 14946630.\nAnswer: 1\/2491105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -13358342 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f + f - 4*f - 1 - 8. Let l be (21\/(-9))\/((-2)\/6). What is the tens digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.301 + 1.001. Which is smaller: 1\/12 or l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 2*17\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g - 426*g - 990*g.\nAnswer: -1283*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26397b + -41?\nAnswer: -2639bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d)*(-4*d + 3*d + 2*d) - 2*d + 437 + 145 - d**2 + 110.\nAnswer: -3*d**2 - 2*d + 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Suppose 0 = 2*g - 26 - 22. Let n(v) = -3. Let k(s) = s + 24. Let o(p) = g*n(p) + 3*k(p). Determine x(o(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 5\/(-2))*-4. Let y = 2368 - 2367. What is the third smallest value in 1.3, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 + 12*a - 14. Give b(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4731280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 13*p**2 - 11*p + 7. Let i be h(-12). Let m = -5 - i. Solve -4*c - c = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(9\/(-6) - (-3)\/(-6)). Let u(i) = -i**2 - i - 54. Let t be u(s). Let z = 82 + t. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2457 - (-33 - -29)*6\/(-4). Is 2451 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:11 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let j(f) = 3*f + 3. Let p be j(s). What is the highest common factor of p and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 94*f**2 + 27691*f + 738296.\nAnswer: -(f - 229)*(f + 31)*(f + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkqqqkhmkqqq. Give prob of sequence kkq.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -882 - -882.9. Which is the closest to -4? (a) 0 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75994\/3 + 25331. Let g = -2.01 + 2. Let l = -4.99 + g. Which is the closest to -1\/4? (a) l (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 109. Suppose -s = -2*u - u. Solve 6 = -4*j + 5*m, u*j = m - 3*m - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*f - 41813 = -7174 + 41 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -25) + (-13 - 8) + -1 + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yipplniinpyd. What is prob of picking 1 i, 1 d, and 1 l?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96232 and 16.\nAnswer: 192464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/774050 and -5\/2192.\nAnswer: 6192400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - l = 65 + 57, 2*q - 3*l - 72 = 0. Suppose -12 = 2*r - 5*r. Suppose -20 = 5*x, r*v = -x + 38 + q. Solve 3*k = -v + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594641 a multiple of 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39760)\/3550*(-5)\/(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:48 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 12) in base 15?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 - 1.2. Let r = u + 1. Let s = -0.45 - r. Which is the closest to 0? (a) -1 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1008069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + j - 5*f - 7 = 0, 0 = -f - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:01 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698*x - 79*x + 59*x - 601*x.\nAnswer: -1319*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:52 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = 48. Let w = 70 - h. Suppose 0 = -4*f + 1 + 47. Calculate the lowest common multiple of w and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 2}. What is prob of picking 2 j and 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1985058 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 + 11 = -3*c, -a = -4*c + 20. Let t(z) = -5*z**2 + 2*z. Let n(i) = -9*i**2 + 5*i. Give a*n(h) - 7*t(h).\nAnswer: -h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 4. Let i be 42*(21\/18 - 1). Give t(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46242*w = 46201*w - 82 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 114 - 11. Suppose 2*f - 5*o - 101 = -y, 176 = 4*f - 4*o. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(132)\/(sqrt(36)\/sqrt(3)) + (sqrt(11) - sqrt(176)))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 13*n - 14*n + 17, 10 = 2*n + 2*y. Sort -1, n, 155.\nAnswer: -1, n, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 16*q**2 - 6*q - 12. Suppose 5*f = 5, 3*o - 59 - 68 = 2*f. Calculate the remainder when k(-16) is divided by o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11159436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 124. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2. Let a(h) = 5908014*h**2. Give v(a(p)).\nAnswer: 104713888272588*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4*(-56)\/(-35). Suppose 0*d = -d + 3*m - 5, x*d - 28 = -4*m. Solve 7*r = 3*r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 1. What is the remainder when 19930\/110 + 38\/(-209) is divided by w(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232016686 to the power of 1\/2, to the nearest integer?\nAnswer: 15232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(95\/114 - 2\/6). Suppose -20 = -q*b, -b - 11 = -9*d + 4*d. Suppose -5*v + 11 = -3*f, 4*f + 4*v - 19 = 3*f. Solve -f*x + d = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooww when four letters picked without replacement from uouuwuowww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 176*o**3 - 24*o**4 + 3*o + 138*o**3 - 1 + 22*o**4 as q*o + m*o**2 + j*o**4 + d*o**3 + l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.2. Let f be 2854\/(-24) - 6\/(-36). Let m = 119 + f. Put m, b, 2\/9 in descending order.\nAnswer: m, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29070911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(((-6)\/6)\/(-1 - -2)). Suppose m - w + 11 = 0, 2*m + w - 5*w = -u. Let j = m - -9. Solve -j*i = i - l - 1, -3*i - 5*l = 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = 0. Let r(p) = 2*p**2 - 3*p. Let i be r(3). Suppose -2*m - 3*l + 6 = -i, z = 4*m - 4*l - 40. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104236602?\nAnswer: 2, 3, 17372767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 2*t**7\/105 - t**4\/2 - 17*t**2. What is the second derivative of n(m) wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 + -11 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/4, 26, 4, 139\/6, 1, -3, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5219 - 11203 = -2*m - 5*x, -m + 8217 = 4*x. What is the greatest common factor of m and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17413910 = -3*y - 947688, -4 = -a. Let b = y + -2988742. Round b to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 - -2. Let k = 14 - 13.7. Let j = -1629 - -1625. Put g, j, k in descending order.\nAnswer: k, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.4 + -15.463. Let n = -0.075 - s. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 1, h: 1, o: 2}. What is prob of picking 1 d, 1 o, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64046054 is divided by 521.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22150 is divided by 7383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/11, 124525, -2\/3, -4.\nAnswer: -5, -4, -2\/3, 6\/11, 124525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 12 - 32*i + 34*i + 5*i - 3*i - 3*i + (i - 4 + 4)*(1 + 0 - 2) - i + 5*i - 3*i.\nAnswer: i - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*t - 258*t + 61*t - 16446 = 22530 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 10.94944cm?\nAnswer: 109494400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2709 = 232*j - 103*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r - 10*r + 0*r**4 + 2*r**4 + (2*r + 4*r - 3*r)*(-2*r**3 + r**3 - r**3) in the form u*r**3 + f + m*r**2 + t*r**4 + q*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(-201)\/(-12) + 1\/(-1) and -81\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 530.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/24 and 4 - (-3052)\/(-1320) - 45\/(-75).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 10 = 5*m. Suppose -s - 3*s = -2*y + 16, 10 = 2*y - m*s. Solve -y*a = -3 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose 5 = 3*u - t*u. Suppose u*d - 158 = -2*l, 5*d - 146 = 4*l - 3*l. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*g + 2470 = 0, -2*u + 0*g + 1002 = 5*g. Let r be (-6)\/21 - 3258\/14. Let c = r + u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 2*a + 7. Let b be v(3). Calculate the remainder when 6\/(5\/(35\/2)) is divided by (-8)\/b*15*6\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -s + 11903, -4*s + 12*l = 8*l - 47612. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*t + 443, 28*t = 4*y + 29*t - 913. Calculate the remainder when y is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 7:24 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15002?\nAnswer: 2, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 36 + 69)*(4 - 1 - 16)*(3 + 2*w - 3).\nAnswer: 130*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -129759, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-46)\/(-184))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**7\/7 + 14*i**6\/3 + 58*i**3 - 176. What is the third derivative of w(v) wrt v?\nAnswer: 120*v**3 + 1680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 2, u: 1, o: 3, k: 8, m: 1}. Give prob of sequence kroi.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 19\/2*d - 37\/8*d**2 + 123 - 1\/12*d**3. Suppose n(x) = 0. What is x?\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/15)*k**25\/k assuming k is positive.\nAnswer: k**(358\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (-16 - -14) + -10 - (7 + -14)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = 59*s - 62*s. Let z = 5 + 0. Suppose 4*a + o - 2*o - 220 = 0, -3*a = z*o - s. Calculate the least common multiple of 4 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + i - 2. What is the units digit of j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16041 is divided by 15976.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1494 - 1492 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*f - 0*f. Let j = f - -18. Solve 4*q + 5 = 3*h - j, -4*q = -5*h + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -766.68 (b) 1\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 24404759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2) + (-6630)\/1860 + (-18)\/(-12)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7481909 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01898948 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247279459?\nAnswer: 7, 4297, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - (24 - 6) - 159.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 1937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65.92 and 0.6?\nAnswer: -39.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 5*i**2 - 23*i**2 - 9 + 9.\nAnswer: -18*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49153629 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 57*m**2 + 243*m - 124. Give g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69027704 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*y = -16, -36 = -5*v + 3*y - y. Suppose 9*u = v*u + 40. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.1 (c) 249584 (d) -5 (e) -0.2 (f) -9 (g) -2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 335*q - 334*q - 1056. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 3*j = -16*l - 13*l - 24, 0 = 4*j for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4)\/w)**(-48)*(w\/((w**(1\/9)\/w*w*w)\/w))**17 assuming w is positive.\nAnswer: w**(-1592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4594*h**2*o + 4*h**2 + 776*h wrt o.\nAnswer: 4594*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*c + 28*c - 13*c)*(-25*c + 19*c + 18*c) in the form u*c**2 + b*c + q and give u.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-735)\/9)\/(19068\/24516).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142933467 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v - 2*v)*(0 + 2 + 2)*(19*v - 2*v + 37*v).\nAnswer: 864*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 - 3. Let a be u(5). Let w = 66 + a. Let x(j) = -j - 10. Let g be x(-20). Solve 3*r = -t - g, 5*t - 12 = -3*r - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1054397169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.4 and 194.\nAnswer: 178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*s + 44, 4*s = -s - 5*r - 15. Let w(n) = -n**2 - 11*n - 11. Is 13 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 19*d - 33. Let f(l) = -l**2 + 10*l - 17. Let x(q) = -5*f(q) + 2*u(q). Is x(-13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*w - 19, 116*w - 119*w - 5*f + 22 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 19*i**3\/6 - 93*i**2\/2 + 276*i. Let t be s(5). Solve t*a = 4*z, -a + 0 - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 7*r**3\/3 + 2*r**2 + 3*r + 4. Let u be k(-2). Suppose u = 2*i + a + 4, 0 = -4*a + 12. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14672653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 28. Let b = 2095\/2 - 1060. Is b at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186 - 1?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-189)\/15)\/(2\/(-42)). Let b = -261 + u. What is the common denominator of -71\/3 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 8 = -l. Let m = l + -6. Solve 10 = m*t - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mmgn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 4, v: 2, u: 1, i: 2, o: 1}. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/(1\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:15 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6084 and 2322.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + -1)*30\/(-45). Suppose -2*g = -4*k, a*g + 4*k - 28 = g. Suppose -g*t - 1074 = -6*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) 3.232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 72 + 6 = 0. Let t = 431 + -301. Calculate the remainder when t is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202.1736 + 0.6436. What is o rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/5 and -7\/193990.\nAnswer: 193990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**42*w**(24\/5))**17 assuming w is positive.\nAnswer: w**(3978\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 28*l - 4. Let k(o) = -14*o + 3. Let y(i) = 4*c(i) + 7*k(i). Let n(r) = -r**3 - 2*r**2 - 2*r - 3. Let s be n(-2). What are the prime factors of y(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -155, -338, -583, -884, -1235?\n\"Answer: r**3 - 40*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 - 78*g + 948. Calculate s(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**24*(r\/r**0)\/r*r*(r\/(r\/(r*r**(-19))))\/r**(-23) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)\/(5\/(-25)). Suppose -v - y = -38. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 15*x - x**2 + 14*x - 19*x.\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*h + 2*h + 20, n = -3*h + 15. Let t(r) be the third derivative of r**4\/24 + 5*r**3\/3 + 20*r**2. Let g be t(n). Is g at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 239*h**2 + 398*h - 627. Give v(78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -14) + 4 - 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221101222 (base 3) in base 14?\nAnswer: 586a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64915642 - -10852.\nAnswer: -64904790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -62 + 20. Suppose a + 5 = 5*y, -2*y + 0*a + 5*a = 21. Solve u - b = -y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2. Calculate j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*c - 3 = -3*p, 0 = -4*c + 12. Let m be (2\/4)\/((-545)\/(-180) - p). Find the second derivative of 4*s**5 - 19*s**5 - m*s + 4*s wrt s.\nAnswer: -300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(17\/((-1309)\/(-22))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30334222 + -24402?\nAnswer: 30304320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a**3 + a**2 - 5*a. Let y(p) = 23*p**3 + 2*p**2 - 8*p. What is -8*h(r) + 5*y(r)?\nAnswer: -5*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - (7 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3\/5 - 9*a**2\/5 + 6*a\/5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (2 - (-48)\/22). Let c = -8 - -12. Let w = c - 9. Is h less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-11.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1215, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 8*m + 19. Let s be q(18). Let b = s - 780. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11862767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/9 - 7\/45. Let t be 6 + 244\/(-40) - 8\/70. What is the second smallest value in 0.3, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2b9 - 452?\nAnswer: cc67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 614 - 627. Put 0.3, -1\/2, q in decreasing order.\nAnswer: 0.3, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 9 + 3. Let v(s) = s**2 - 6*s + 4. Let w be v(p). Let f(d) = -d**3 + 2*d**2 + 8*d - 6. Let g be f(w). Is -6 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (135 - 106 - 28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzp when three letters picked without replacement from wxcxtzzxpzxzxzzc.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 less than -2.66469?\nAnswer: -2.80469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-59 + 3)*1. What is the closest to -4 in 3, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 871?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 35*r + 145. Let l be j(30). Put 2, -21, -3, l in decreasing order.\nAnswer: 2, -3, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 37*l - 49. Let j(y) = y**2 - 9*y - 12. Let f(h) = -18*j(h) + 4*o(h). Factor f(m).\nAnswer: 2*(m + 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.323 + -6.4. Let k = v + 0.447. Let c = -0.03 - k. What is the second biggest value in 0.3, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 - 24*n - 53. Let c(x) = -28*x**2 - 49*x - 106. Let u(p) = 13*a(p) - 6*c(p). Let q be u(-12). Solve -2*v + 4 = 3*w + q, 3*w = -15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.514 + 11.44. Let w = y + -2. Let o = -47.926 + w. Are 2\/3 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11730?\nAnswer: 2, 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:49 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 23. Let m = 3 + o. Let n = 0.04 - 3.04. Which is the biggest value? (a) m (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/3 - 21193886*g\/3 = 0 for g.\nAnswer: -10596943, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 4*d**2 + 4*d + 3. Let u be (-18)\/(-10) + (-5)\/(-25). Let h be 0 + (u - 21\/6)*2. Let c be s(h). Sort 1, 4, c in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + p - 460. Determine a(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 26*v + 156. Let k be w(-17). Let m(y) be the second derivative of 3*y - 1\/2*y**k + 0 - 2*y**2. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:04 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 1)*(2 - m - 2) + 0*m + m - 2*m)*(2*m - 3*m + 2*m + (-m + 0*m + 0*m)*(32 - 12 - 8)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627520 and 7696.\nAnswer: 8157760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163555 smaller than 163557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) -1.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2051093930 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 323 = 128. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978 = -294*k + 198. Suppose -5*h + 4*h - 3*f + 88 = 0, 3*h - 5*f - 208 = 0. Calculate the lowest common multiple of h and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2)*(-1)\/(-2). Suppose -t = -r*t - 4. Suppose -3*q + t*q = 1. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -24. Calculate the remainder when -2*r*3\/6 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:55 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/891 and -151\/391410.\nAnswer: 38749590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493 (base 14) to base 15.\nAnswer: 40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1026 + 1865. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**3 - 4*q**3 - 4*q**2)*((-4*q + 0*q + 3*q)*(-2*q - q + 8*q) - 751 + 7*q**2 + 751).\nAnswer: -2*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8 + 2. Suppose -5*i - 4*g = -3*g - 66, -b*i = 4*g - 12. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -8\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/271325 not equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -15 - (-27)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 68*r - 34. What is l(9)?\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3277 and 19575?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -611, -2, 13042 in descending order.\nAnswer: 13042, 3, -2, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 89. Let n = -55 + h. Which is the fourth biggest value? (a) 0 (b) n (c) -1 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/3 - 16*c**3\/3 + 20*c**2\/3 + 400*c\/3 = 0 for c.\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/4*1 + 4. Let x(p) = p**2 + 7*p - 1. Calculate the remainder when x(-10) is divided by n - 0 - (-5 + -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -227?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r**2 - r. Let o(k) = 3*k. What is o(p(s))?\nAnswer: -75*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -70\/12333?\nAnswer: -70\/12333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7367 - 2460. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*w = 172*w - 168 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 + 3*j - 3. Let r(c) = -9*c + 48. Let p be r(5). Calculate f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1120122?\nAnswer: 1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -7*d + 164. Suppose 6*n + 3*y = n, -9 = -2*n - 3*y. Let k be n*(0 + -2) - 3. Solve -2*o + 1 - k = -d*m, -4*m + 5*o = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 346403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**2 + 8*i**2 + 322*i - 32*i as d*i**2 + u*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4383169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 = 5*m - m, -13 = -u - 5*m. Is 36 + (u - -4) + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:00 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + l = -428, 3*u - 5*u + 282 = -4*l. Let n = -144 + u. Let q(j) = 21*j**3 - 2*j**2 + 1. Determine q(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -3965, 389 in decreasing order.\nAnswer: 389, 314, -3965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -544\/23 - -1309\/138. Calculate the common denominator of (30\/(-11))\/((-8)\/(-14)) and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 58678637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 5620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 4, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 42152 + 46237 = 0. List the prime factors of s.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 2*k + 8*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55746 and 6372.\nAnswer: 19734084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1142 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 357 = j, 97 = 5*y + 4*j - 1691. What is the highest common factor of 48 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*k**4 + 136*k**3 + 14562*k + 2.\nAnswer: 588*k**2 + 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -33*c**5\/5 + 509*c**2\/2 + 67*c. What is the first derivative of s(z) wrt z?\nAnswer: -396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16750093760677 - -3.\nAnswer: 16750093760680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 1151514658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 + 1 + -1. Let w = 14 - 20. Let b be (5\/2)\/(-5)*w. Solve 3*u + 3 = p, -c*u + 2*u + b = p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = -123087 - 829873. Round v to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27985 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/5)\/((-84)\/24 - -1). Which is the second biggest value? (a) r (b) 2\/15 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b - 3*b + 3*b)*(2*b**2 + 0*b + 0*b) - b**3 + 4*b - 4*b + 10 - 10 - 5*b**3 - 11 + 11 + 9*b**3)*(1 + 3 - 2).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902180781.\nAnswer: 3, 19, 1093, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*k + 2*h + 20 - 75, 2*k + 2*h + 6 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/123662 and -31\/292292?\nAnswer: 3215212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 38\/33, -771 in descending order.\nAnswer: 6, 38\/33, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/60 + u**4\/4 + 4*u**3\/3 + 4*u**2. Let a be v(7). Solve 0 = -q - 6 + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(4\/(-72)*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.58099mm in kilometers?\nAnswer: 0.00009458099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o + 6. What is r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1158 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**2\/2 - 7*g + 1. List the prime factors of j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -30. Find the second derivative of -3*q - p*q**2 - q + 6*q + 4*q wrt q.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + t = 7 + 158, 0 = 3*k + 2*t - 168. Factor -2*g**2 + 0*g**2 + k*g - 16 - 142 - 85 - g**2.\nAnswer: -3*(g - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 150983, 150977, 150971, 150965, 150959, 150953?\n\"Answer: -6*g + 150989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 469031.7 hours in milliseconds?\nAnswer: 1688514120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -64 and -64 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 7\/2, -1\/6, 37\/4, -2, 108?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232130 - -303?\nAnswer: 233033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m + 44. Let c(u) = 8*u - 21. Give -7*c(t) - 3*n(t).\nAnswer: -11*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 1072815*n - 1150932024225\/2.\nAnswer: -(n + 1072815)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 3, m: 10}. What is prob of sequence mi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 + 102*j**4 - 20052*j**3 - 122808*j**2 - 164640*j = 0. Calculate j.\nAnswer: -98, -4, -2, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, b: 2, l: 1, r: 1, o: 2}. What is prob of picking 1 o and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -21, -2499, -0.2?\nAnswer: -2499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50975 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 254*s - 8. What are the prime factors of p(102)?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-9 + (1 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007 = -465*j - 96 + 484 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.16*-1.3.\nAnswer: -35.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3711, -14851, -33417, -59409, -92827, -133671, -181941?\n\"Answer: -3713*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from aaauhuhaa.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*8\/3)\/((-1)\/4*719\/(-2157))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 + 13*g**2 - 2*g + 3 - 6 + 0. Suppose 0*f = 2*f + 4. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*t**2 - 9 - 13*t**2 + 228*t - 137*t**3 + 94*t**3 + 65*t**3 wrt t.\nAnswer: 132*t + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -1)**2*2 + sqrt(175) + (-1 + 0 + sqrt(175))**2 + (2*sqrt(175)*-1 + 3)**2.\nAnswer: -85*sqrt(7) + 1237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -q - 2, c + q + 6 = -2*q. What is the hundreds digit of 2\/(-4)*(c + 0) - -125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5150*m**3 + 114*m**3 - 2280*m**3.\nAnswer: -7316*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37, -81.\nAnswer: -81, -37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106091032 and 2821570?\nAnswer: 530455160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**26*v*(v\/(v**18\/v*v))\/v*v*v*v**(-2\/15)\/(v**(-11)\/v) assuming v is positive.\nAnswer: v**(-422\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2429375511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 + 104*w + 86. Let z be p(-14). Solve 8*y - 3*y - x + 14 = 0, -4*x + 2 = -z*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 135 = j, 0*x - 4*x = 2*j - 282. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:22 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150794251164 take away -0.37?\nAnswer: -150794251163.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10852372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((-32 - -15) + 17). Solve o = -39*w + 11 + 28 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4750\/7, -0.5, 0.5, -3\/2 in decreasing order.\nAnswer: 4750\/7, 0.5, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hejwewwehwwhew. Give prob of picking 1 j and 2 w.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**3 + 7*b**2 - 6*b - 7. Suppose 0 = -3*o + 3*h - 30, 5*o + 3*h + 9 = -1. Let v(x) = -7*x**3 + 6*x**2 - 5*x - 6. What is o*w(c) + 6*v(c)?\nAnswer: -2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a. Let b be t(6). Let w = -37 - b. Solve -3*n + 16 = -n + 5*r, n = -w*r + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2525 - -2570. Calculate the smallest common multiple of k and 99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/11*w**4 + 2\/11*w**2 + 2\/11*w**5 + 0*w - 2\/11*w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30230a (base 11) in base 7?\nAnswer: 4063313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9063 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -10*l - 42. Put -1, -54, -5, l in increasing order.\nAnswer: -54, -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afafhhff. Give prob of picking 1 f and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 + 7*x**2\/2 + 9*x. Let w be m(5). Solve 4 - 10 = w*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21*-5*(-3 - -2) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*v - 653*b**3*w**2 + b**2*v - b*v*w**2 + b*v - 60*v*w - 5524*v with respect to w.\nAnswer: -1306*b**3*w - 2*b*v*w - 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252094 (base 13) to base 7.\nAnswer: -10364323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -245696?\nAnswer: -245699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316 + 397. Suppose -5*n + 3*n + 630 = -5*i, -4*i - n = 504. Calculate the remainder when v is divided by (-6)\/1*i\/27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14454.1009 + -14456. Let m = -1.9 - c. What is m rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9101 - 9096. What is the second smallest value in 2, 2\/43, -0.4, i?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) -58\/15 (b) 0.93 (c) 1 (d) -0.5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 - -3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 813.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -22971 and -4352 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:04 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.012, -1, -0.02, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 782572381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-29\/3)*a*a*a**(2\/15)*(a**22*a)\/a**22 assuming a is positive.\nAnswer: a**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 + 4*j + 3. Let w be n(4). Suppose w*i = -2*i + 90. Calculate the remainder when 2 - 34*9\/(-6) is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12 + 6 - 22 + 4 + q**2. Let f(u) = -4*u**2 + 6. Let h(t) = -1. Let y(c) = 2*c - 6. Let s be y(6). Let k(r) = s*h(r) + f(r). Determine j(k(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160.5923s in weeks?\nAnswer: 0.00191896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 7. Let w be f(-7). Is (w - 7)\/(-8 - (-1111)\/139) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9848752937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xahhxxxxhahaxp. What is prob of picking 2 a and 1 p?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4568\/44 - (-2)\/11. Suppose 0*g + 232 = 2*g - 2*l, 0 = -g - 2*l + d. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807356 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h - 3*h**4 - 6*h**2 - 3\/5 + 6*h**3 + 3\/5*h**5.\nAnswer: 3*(h - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -24. Suppose 0*l + 4*l - 2*x = 14, -x = l - 2. Calculate the greatest common divisor of g and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**3 - 3*i**3)*(-13 - 9 + 19 + i**2 - i).\nAnswer: -2*i**5 + 2*i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9727.731 years to millennia.\nAnswer: 9.727731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177938 is divided by 241?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -13\/10 (b) 0 (c) -0.18 (d) 1\/6 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 463*j + 5628*j - 1254*j to the form w + r*j and give r.\nAnswer: 4837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 35342*n. Let y(c) = -3181*c**2 + 2*c. What is i(y(q))?\nAnswer: -112422902*q**2 + 70684*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123306 is divided by 899?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -5 (c) 33 (d) -1\/3 (e) -0.5 (f) -227 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1302738847574 - 1302737239200.7999876. Let b = -1608333.2 + g. Let n = b - 40. What is n rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -2 + 3)*-3. Suppose x*n + 4*i = 0, -5*n - i = -5 - 12. Suppose 5*l - 4*w - 31 - 10 = 0, 0 = l - 3*w - 17. Put 1\/5, l, n in ascending order.\nAnswer: 1\/5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 + 5*a - 2. Let h be (-9)\/(-1 - 2) - 5. Let q be 13\/h - (-2)\/4. Determine g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5059 or 5164?\nAnswer: 5164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 2, p: 1, s: 1, c: 2}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11786?\nAnswer: 2, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m + 1407. Let i be o(-78). Let b(h) = 3 - 1 - 3*h + 4*h**3 + h**2 - 3*h**3. Let c(g) = -g**3 + g. Determine i*c(n) + b(n).\nAnswer: -2*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0316923 kilograms?\nAnswer: 31692300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 639*z - 24 + 6 - 820*z. List the prime factors of i(-2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 + 5*n**2 - 79 - 2*n to q*n**2 + p*n + y and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**4\/4 + 4*j**3\/3 - 7. Let a be f(4). Put -5, a, 1 in increasing order.\nAnswer: -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3406 or 3514?\nAnswer: 3406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 5 + u - 2*u wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Suppose -24 = 2*l - o, -5*l + o + w*o = 57. Let d = 15 + l. Solve -d + 0 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 786.\nAnswer: -2, 1, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4\/(-2)) + 60 - (-28 - -41).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139512?\nAnswer: 2, 267439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 14*x = -49. Suppose -2*j = -3*m + 20, x = m + 2*j - 3*j. Let v(r) = 6*r + 4. Calculate the remainder when 78 is divided by v(m).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 1.4413?\nAnswer: 25.4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 97\/5. Suppose -3*n = -2*q + 10, 4*q - 6*q - n = -10. Are q and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 75228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - k = 13, -23*i + 25*i + 66 = -4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32848.20021 + 32848. Let p = 0.2 + s. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.698 + 0.102. Let z = b + -7.28. Let j = z - 0.02. What is j rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8428 (base 9) in base 15?\nAnswer: 1c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(4048\/320))\/(9\/198*-12)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 2*d, y = -d + 6*y + 4. Suppose d*n + n = 25. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123410 to the nearest one thousand.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -513*x + 67.\nAnswer: -513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let k(r) be the third derivative of -r**5\/6 - 3*r**2. What is k(c(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2441242 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113711666 a multiple of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502132*c**2 + 2 - 2 - 119159*c**2.\nAnswer: 1382973*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/120 + u**5\/15 - 5*u**4\/24 - 2*u**3\/3 - 2*u**2 + 91*u. Give f(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 3)*(27 - 42) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + r = -129, 2*l + r = 9 + 44. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8, 3, 1, 0 in descending order.\nAnswer: 8, 7, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31891 + -31888. Solve 2*z + 6 = 2, 4*x = -b*z - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280241797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 14 = -46*n + 47*n, 4*s - 66 = -5*n. Solve o = -n + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-72)\/(-60)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 629 * -423.\nAnswer: -266067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -335 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 175?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 159*n + 159. What is j(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500924979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 24. What is b in t + 2 + 15*b**2 + 24*b + 3*b**3 + 0*b**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.9 + 33.05. Let p = -5.15 + j. Put p, -1, -0.2, 4 in descending order.\nAnswer: 4, -0.2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:45 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4*o**2 + 113*i**4*o + 27*o**2 - 2 wrt i?\nAnswer: -8*i**3*o**2 + 452*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 210.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72.0005 - -72. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)*s\/(s**(2\/3)\/s))\/(s**(-6)\/(s\/((s**(-7)*s)\/s))))\/(s**(1\/16)\/(s*s**(1\/16)*s*s*s)*s**(-8)\/s*s*s**(2\/15)) assuming s is positive.\nAnswer: s**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 12*a - 13*a = 4*a - 1, 35*w + 2*a + 72 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1296*k + 9065. Determine a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 140*o - 585. Let c be i(2). What is c rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6203306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 - 3\/135*-28. What is the nearest to -2 in 3\/2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**4 + 195200*q**3 + 780660*q**2 - 3708440*q + 2732576 = 0. Calculate q.\nAnswer: -48796, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let g = -35 - -100. Let n(x) = g*x - 22*x - 24*x - 23*x. Determine k(n(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -141983742*v. Let k(z) = -z. Determine m(k(s)).\nAnswer: 141983742*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149160, 149048, 148746, 148158, 147188, 145740?\nAnswer: 143718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 6:52 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162476818 - -3?\nAnswer: 162476822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(475) - sqrt(19))*-5)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 7 = v, 2*h = -v - 13. Let w be (-2)\/v - 68\/(-18). Solve 0*x + 3*b = 5*x - 6, w = -2*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:28 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((2 + sqrt(162) + sqrt(162))*-3)**2 + 5 + sqrt(162) + 5 + 5)*-1.\nAnswer: -5878 - 657*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 8. Let a be z\/(-4) + (-9)\/(-6). Suppose a*h = -2*h + 14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -532630 or 4?\nAnswer: -532630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92726 divided by -1.\nAnswer: -92726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 52 = 2*v, 816*n - 68 - 50 = 815*n - 5*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8038595413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**6*n - 863*d**3*n**2 - 13393*d**2*n**2 wrt d.\nAnswer: 360*d**3*n - 5178*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 3\/4, 1\/4, 0.01, 0.05?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19255 is divided by 535?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 104 = -76. What is the highest common factor of 40 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100002020 - -30002?\nAnswer: -33312012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(1800\/(-20)))\/((-78)\/(-260)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10696016 divided by -2.\nAnswer: -5348008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-52 - (-157 + 58))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (-13 - (27 - 28)) + (16 - -3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -114354?\nAnswer: 114434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791227129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61530 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = 3*h. Let z be (8\/64)\/((-3)\/((-12)\/1)). What is the closest to z in 0.4, 4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmxnxtmxtxttm. What is prob of sequence mxm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/23, 171506, 74, 0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2687146697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 84. Suppose -2*w + 94 + 89 = 141. Give h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 - 16 = 0. Let s be (-2)\/6 + 22\/x. Let k(i) = 7*i**2. Let h(y) = 6*y**2. Determine s*k(g) + 5*h(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(2\/(-15)). Let m be f\/(-27) - (-34)\/234. Is m not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/(-22))\/2 - (-2)\/(-11). Let v(n) be the first derivative of -8\/3*n**3 - 5*n**u + 1 - 2*n. Let v(h) = 0. Calculate h.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229883, -5, 44, 3 in descending order.\nAnswer: 44, 3, -5, -229883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28386.9625 minus -6707?\nAnswer: -21679.9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 + 17729*u**2 + 17736*u - 106380 = 0. What is u?\nAnswer: -3, 2, 17730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 4*n**2 + 2*n + 1. Suppose 405 = 5*b - 2*v, 405 = 5*b - 2*v + v. Let j = 83 - b. What is i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let c(x) = -x. Let t(g) = -4*g + 21. Let o(d) = 3*c(d) - t(d). Give o(b(y)).\nAnswer: -2*y - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/270 - o**4\/108 - 2*o**3\/9 + 9*o**2. Factor z(y).\nAnswer: 2*(y - 3)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 95.9. What is f rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107\/60009 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4235, -8500, -12747, -16970, -21163, -25320?\n\"Answer: d**3 + 3*d**2 - 4281*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -2, 0.4, -0.08, 2.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/14 - (-45)\/18. Let x = -50 - -50.5. Sort r, 1\/7, 4, x in descending order.\nAnswer: 4, r, x, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 10\/89 (c) 90 (d) 7\/5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/5 + 220*o**2 - 54718*o\/5 - 60268 = 0.\nAnswer: -5, 61, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3 + 5*g**2\/2 - 15*g + 14. What is the remainder when d(7) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -52*d**2 + 10. Let j be t(3). Let p = j + 455. Put 0, 2, 5, p in ascending order.\nAnswer: p, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 1535, 3456, 6145?\nAnswer: 9602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16024408 + -2?\nAnswer: -16024411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.81 - 0.10323.\nAnswer: -3.91323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 36. Let s be -9 - 3 - (3 + d). Let f = s + 137. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - 4) - -6 - (4 - (-3 - 52))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 5) to base 11.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -2*t + v*c = -22, -3*t - 2*t = -c - 28. Solve -h + 2*n = 4, -t*n + 10 + 3 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 296 + 300 = 0. Suppose 0 = 2*k - 6*k + 252. Suppose b*o = o + k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232 - 275)*(0 + 1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3213301.63 and 1.\nAnswer: 3213302.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -94*r**3 - r**2 - r. Let l be w(-1). Let m = -57 + l. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1, -1, 56, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 2169156?\nAnswer: 8676624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-3 + 0 - sqrt(7) - (0 + sqrt(847) + sqrt(847)) - (4 + sqrt(567) + -5*(sqrt(567) + 2 + sqrt(567))).\nAnswer: 6 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**3 + 11*h - 20. Calculate z(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -852 divided by -11795\nAnswer: 852\/11795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, i: 1, z: 4}. Give prob of sequence yi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1714723.99999 - 1714701. Let o = f + -23. What is o rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/8335440 and -53\/65280.\nAnswer: 133367040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:23 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = l - 15*l. What are the prime factors of (1 - (1 + l))*12978\/(-21)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 7. Let d be t(-3). Suppose 0 = d*i - 2*h - 82, -h - 3 = 2. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*w + 64, 489 - 543 = 5*z + 4*w for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-22) + (-60)\/(-396))*39. Solve -12*f - 3 = -l*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 1998. Let t(n) = 17*n + 3986. Calculate 5*k(g) - 3*t(g).\nAnswer: -g - 1968","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 215*y**2 + 23*y + 23. Is t(74) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 23. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -25. Suppose -f - 6 = -3*c. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2525 = -5*i, -i + 5*i + 2020 = -3*b. Let m = -499 - i. Solve 11*w - m*w - 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (48 - -27 - 20 - -18 - (2 - -3)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a. Suppose 4 = -a*q + q. Suppose -p**3 - p + p**q + p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(5) - sqrt(80))*6)*-5.\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*f - 2415347 + 2414160 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 11*k + 8. Let s(z) = -6*z**2 - 32*z - 23. Let a(w) = -17*f(w) - 6*s(w). Is a(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8390246748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 4, -2, 1\/12, 146085?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894995?\nAnswer: 5, 19, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 4*(sqrt(2736) - sqrt(2736)*-3))**2.\nAnswer: 790704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*r**3 - 5 - 3*r + 4 - 41*r**3 + 2*r**4 + r**2 in the form j*r + h*r**4 + v + n*r**3 + c*r**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -0*n. Solve j = -n + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-2\/77)\/(o*(o**(-1)*o*o)\/o)**28*((o**(2\/17)*o)\/o**(5\/3))**(-15) assuming o is positive.\nAnswer: o**(-51761\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2 - 18*q - 1. Let g be o(-14). What is the remainder when 30 - (-5)\/(g\/(-8)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*((1*sqrt(384) - sqrt(384))\/(sqrt(135)\/sqrt(5)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 3, d: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d - 14. Let y = 36 + -32. Let g be -5 + y\/8*-2. What is the tens digit of a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 2850 = -x. Let n = x + 5221\/11. What is the common denominator of ((-236)\/90)\/(4\/(-6)) and n?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 83801941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, 4573?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606487 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**15\/((u\/u**0)\/u)**(-3\/26)*(u**(1\/7)*u**(-4\/3))\/(u\/u**(2\/3))**(-3) assuming u is positive.\nAnswer: u**(-319\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 4*d**2 - 3*d - 5. Let t be -1 - (3 - (2 - 2)). Let m be o(t). What is the second derivative of 3*a**3 + 2*a**3 + 2*a - m*a + a**3 wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4687360*f + 4687357*f - 3*y + 3, 35 = -5*f + 5*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Let c = -0.85 + -0.15. Let g = c - -0.6. Put s, g, -5 in increasing order.\nAnswer: -5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065353 rounded to 5 dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*g**2 - 4\/5*g + 16\/5*g**3 - 2*g**4.\nAnswer: -2*g*(g - 1)**2*(5*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018552 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3, 18, -2\/9, 8, -191, 1\/2, -0.06?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 28. Suppose h = 14*l - 12*l. What is the second derivative of -2*w**l - 18*w**5 - w - 15*w wrt w?\nAnswer: -400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 58, 0.1, 515 in ascending order.\nAnswer: -4, 0.1, 58, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 3 - 6)*(3*l + 2 - 2)*(1 - 8 + 3) to p*l + k and give p.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h\/(h**(2\/13)\/h))\/h)\/h*h**(-1\/4))\/(h**(2\/3)\/h)**(-12)*((h\/h**2)**(4\/17))**(1\/22) assuming h is positive.\nAnswer: h**(-33203\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1797.25 - -1999. Let y = 197 - x. Round y to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -12)\/(31 - 34). Solve -3*f - z = -13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 638, 2634, 5954, 10598, 16566, 23858, 32474?\n\"Answer: 662*l**2 + 10*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 466 and -2?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 381058829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.2, 0.9, -5\/2, -1.\nAnswer: -5\/2, -1, 0.04, 0.2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21357 + 21357 - 83*k)*(21*k**2 - 5*k - 21*k**2 + 3*k**3) to y + w*k**2 + c*k + q*k**4 + d*k**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 16*a**2 - 20*a - 17. Suppose -s = -2*z - 9, -s - 3*z + 1 = -7*z. Let u be l(s). Let h = u + 97. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79220 (b) 2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 533.092 kilograms?\nAnswer: 533092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:41 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 30, 0.5, 1\/8, 4\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-47840006)\/8 + (-30)\/(-40). Round c to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11110 + 758*t - 11110 + (1 + 1 - 4)*(2 + 2*t - 2)*(-6 + 2 + 5) + t - 5*t + 5*t.\nAnswer: 755*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 2*k + 4. Determine x(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46c (base 14) to base 5\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*t + 11*t - 7*t)*((0 + 3 - 1)*(-36 + 42 + 55) + 2 - 4 + 4) as z + h*t and give h.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j + 0*j**3 + 0 + 0*j**2 + 10*j**4 - 1\/3*j**5 = 0. What is j?\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1731*n**3 + 6721*n - 43395750 wrt n?\nAnswer: 5193*n**2 + 6721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/7151977 and -99\/266.\nAnswer: 271775126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-200)\/(-6) + (-11)\/33. What is the lowest common multiple of 18 and g\/2 + (-15)\/30?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/4809 and 19\/9199617.\nAnswer: 9199617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*g - 182. Let m = g + -129. Let z = 0.17 - 0.17. Is m less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v, 5*v + 17 = i + 4. Let b be 24\/i - 8\/(-52). Find t, given that 2\/7*t**b - 8\/7*t + 8\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13974\/25, 25 in decreasing order.\nAnswer: 25, 1, -13974\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1683651l?\nAnswer: 168.3651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose -v*j + 96 = -3*u + u, 2*j - 154 = 3*u. Let d = u - -211. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2884, -2891, -2900, -2911?\nAnswer: -2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c5 (base 15) in base 7?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*u + 165 + 78. What is the third biggest value in 4, 0.1, u, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*w = -236158 + 261808 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 1. Let s(j) = -163*j**2 + 1. Calculate n(s(l)).\nAnswer: -159414*l**4 + 1956*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 11*x**2 + 4*x - 205. Let z be k(-20). Calculate the greatest common divisor of z and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243139, -486256, -729375, -972496, -1215619, -1458744?\nAnswer: -1701871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(120)*-1)\/sqrt(4))\/(6*sqrt(54)) + 3 + (1*sqrt(1210) + sqrt(1210))\/sqrt(2))**2.\nAnswer: 395*sqrt(5)\/3 + 783041\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 5*r**4\/4 + 3*r**2\/2 - 5*r + 49. What is the remainder when h(3) is divided by -14*60\/16*2\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.031451009 and -0.14.\nAnswer: -0.00440314126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from mmmfqrurmmkkmmm.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 2}. What is prob of picking 1 e and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 11 + 26. Let l(r) = 69*r + 10. Is l(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1864 = 6*j + 18*j + 209*j. Let k = 11643\/130 - 1072\/13. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241410343 by -3.\nAnswer: -241410343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0531 and -179.\nAnswer: -9.5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 126?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - l**2 + 3*l - 1. Calculate a(5).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 19. Calculate r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 take away -1426663874889?\nAnswer: 1426663875275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56378.07 centimeters in micrometers?\nAnswer: 563780700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -21\/2 (b) -5 (c) 0.011 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 1889*k**3\/2 + 596286*k**2 - 126794456*k + 619182880.\nAnswer: (k - 628)**3*(k - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1238.9 - 72.1. Is v less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-30))**(1\/11) assuming y is positive.\nAnswer: y**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1264 + -0.2264. Which is bigger: c or -4.52?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 - 4*y**3\/3 + 3*y**2 - 43*y + 27. Let k be (-9)\/36 + (-58)\/(-8). Give i(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/1 + 16*52557\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536709 is divided by 351.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3568027, -14272113, -32112257, -57088459?\nAnswer: -89200719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-72)*-3*(-426)\/355.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -0.00956129 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -106*w - 9102. Give p(-86).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 73, -0.02, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 186 = 8*h. Let x(f) = 28 + h - 48 + f. Let n be x(10). What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 178002, 2 in ascending order.\nAnswer: -2, 2, 178002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -200, -454, -810, -1268?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.306 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3061, -12813, -29049, -51775, -80997, -116721?\nAnswer: -158953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 3120*x + 2433600.\nAnswer: (x - 1560)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 75044.\nAnswer: 75038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 - (-715)\/(-39) - (-104)\/6. Let q(u) = 2*u - 21. Let m(n) = 10*n - 105. Let h(c) = -2*m(c) + 11*q(c). What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/5 - 4254136*v\/5 + 2262209138312\/5 = 0. What is v?\nAnswer: 1063534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29325029649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2. Let b be f(2). Let w(i) = i**2 - 3. Let v be w(3). Let l = b + v. Solve -5*u - 10 = -l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9 = -z, l = z - 0 + 3. Let a = -41 + 45. Calculate the smallest common multiple of l and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6857 (base 9) to base 10.\nAnswer: 5074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352460 (base 7) in base 8?\nAnswer: 2370513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305 + 310. Let s = -4 - -6. Suppose m = s*l - 48, -4*m + 54 + 53 = z*l. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -7540\/21 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let j be d(6). Suppose 0 = -2*z + j. Solve z = -t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + ((-40)\/(-19))\/4. Are 1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -69*r - 8. Is c(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((434\/(-108) - -4)\/(-2)). Suppose 8*q - p = -q. Calculate the least common multiple of 36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 335.\nAnswer: -19\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23062 is divided by 115?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -16. Let v = 15 - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 + 1\/24*g**4 - 1\/3*g**3 + 0*g + 7*g**2. Let x(c) = -2*c + 7. Suppose -5*o - 66 + 56 = 0. Calculate o*x(p) - 7*q(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, -29, 0.1, 1\/3 in decreasing order.\nAnswer: 4, 3, 2, 1\/3, 0.1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383*m**5 - 2*m**3 + 18*m**2 - 29*m?\nAnswer: 22980*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14595 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*j + 0 - 1\/8*j**2.\nAnswer: -j*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83313\/4, -3, 5 in decreasing order.\nAnswer: 5, -3, -83313\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 746 + -747.856. What is m rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 91162*b + 18332540\/3.\nAnswer: -2*(b - 67)*(b + 136810)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659889 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/94230 and 37\/2552935.\nAnswer: 137858490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**4\/8 - 7*o**3\/6 + 3*o**2. Let f be i(6). Let c = -9 + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 10*n - 4. Let s be r(-10). Sort -62, s, 4.\nAnswer: -62, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*m - 41, 2*w + 2*m - 4 = 6*m. Let d be 4\/w - (-37)\/2. What is the units digit of ((-6)\/(-5))\/(d\/405)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - 22. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*f**4 - 35*f**4 - f**2 + 0*f**2 - 3*f**3 - f as n*f + w*f**4 + t*f**2 + d + v*f**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27845 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/240 and -23\/327744?\nAnswer: 1638720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-2*r - 5 + 5) - 5*r + 3*r + 3*r + 7*r - 3*r - 2*r + (54*r - 22*r + 56*r)*((-3 + 6 - 2)*(0 + 2 - 1) - 3 + 6 - 1) to g + w*r and give w.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 + 4 = 3*h, y - 5*h = -29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 440 - -5?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-5\/18)\/(q**(-1\/7)*q**(3\/2)*q)*((q\/q**(1\/3))\/q**(-2\/15))**9 assuming q is positive.\nAnswer: q**(339\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120458363 and 626?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6251 + -6232. What is the closest to 0.1 in u, 3\/5, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k. Let u(z) = 73224*z**2. Give u(h(y)).\nAnswer: 18745344*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, v: 3, s: 1, c: 1, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1 (c) -1\/37 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(10\/7)*r*r*r*r\/r**18*r*((r**(1\/4)\/r*r)\/r)**(-2\/23) assuming r is positive.\nAnswer: r**(-3705\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928075 is divided by 309346.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5.1687?\nAnswer: 8.1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7.2, -10, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.2 + -11. Which is bigger: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344587 divided by 7?\nAnswer: -334941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11099.62663 and -5.\nAnswer: -11104.62663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 127 + 127 - 2*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4457839453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -78760 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201181*f**3*l**3 - 949*f**3*l + 5090*f**2*l**3 - 2*f**2*l**2 - 102*f wrt f?\nAnswer: 1207086*l**3 - 5694*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let v(m) = 8*m**2 + 1. Let h(n) = 2*r(n) + v(n). Let o(z) = -24*z**2 - 6*z - 3. Let f(k) = -7*h(k) - 2*o(k). Determine f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -72.6.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -931, -1974, -3393, -5182, -7335, -9846?\nAnswer: -12709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a - 5013 + 22338. Calculate the remainder when a is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-9 + 0) - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*u - 46 = 0, -3*u - 8 + 53 = w. What is the remainder when 129 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*v - 4*v. Suppose 3*r + 8 = 4*d + 5*r, 4 = 2*d - 5*r. Suppose d*a + 5 = 7. Solve -z - 5*x - 6 = 0, v*z - 4*x + 0*x + a = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-15))\/((-66)\/(-165)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 24. Put w, -4, 5 in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747294829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/(-28) - 3\/7. Let w(v) = 2*v**2 - 2*v - 4. Let r be w(-2). Let t be ((-5)\/(-25))\/(-4 - (-36)\/r). What is the nearest to t in q, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 1\/2867, -0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**34)\/u)\/(u\/(u\/u**(-1\/6)*u*u))*u*u**(2\/3)*u**(13\/4))**(1\/4) assuming u is positive.\nAnswer: u**(-323\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 1481675.\nAnswer: 11853400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 4*h - 3*h)*(-17 - 11*h + 17) + 2*h + 3*h**2 - 2*h.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4761c8 (base 15) in base 5?\nAnswer: -1333200123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*q + 5 + 7 = 0, 0 = g + 3*q + 8. What is the remainder when 7 is divided by (4 - 1 - g) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335921200 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1006769*i**2 - 471204*i - 1?\nAnswer: -2013538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/9 - 53\/36. Let y = 314 + -314. Which is the nearest to -5? (a) 5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 2, t: 3, l: 1, w: 1}. Give prob of sequence kx.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210012 + 110001000210?\nAnswer: 102222020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13\/r)**(-2\/9) assuming r is positive.\nAnswer: r**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2120 is divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -37019?\nAnswer: 59\/37019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 4*l**3\/9 - 8*l**2 + 48*l - 4. Determine a so that c(a) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + 5*h - h)*(-3*h**2 + 2*h**2 + 2*h**2) - 281*h - 39*h**3 + 281*h)*(-9 - 7 + 25).\nAnswer: -342*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 309.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/7? (a) -1 (b) -1\/11 (c) -6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/13)*((-12)\/11)\/((-58)\/319).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5\/5 - 36*y**4\/5 - 84*y**3\/5 = 0.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100477589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15484956*t**2 + 21908357*t.\nAnswer: -30969912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 324 + -76?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 13 = y, -2*l = 2. Let p(v) = v**2 + 8*v - 5. Let o be p(y). Solve 5*q + 40 = -4*s, s + s - o*q - 6 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1560?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -17*i**2 - 30*i - 181. Let t(w) = -8*w**2 - 15*w - 90. Let b(r) = 4*j(r) - 9*t(r). What is the units digit of b(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-45))**(-39) assuming h is positive.\nAnswer: h**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -136. Suppose -7*v + 82 = 2*x - 2*v, -3*v = -n. Suppose 0 = 35*s - x*s - 32. Solve -2*f = -4*f - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235653 - -52?\nAnswer: -235601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 + 347. Let w(b) = -178*b**2 + 93*b**2 + d*b**2. Let p(g) = -12*g**2 + 4*g. Determine p(w(h)).\nAnswer: -48*h**4 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464031 and 128451.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/3 - 5*k**2. Let y(i) = i. Give y(o(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 2:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(168\/(-93)) - (1 - 5) and -127\/324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q\/(q\/(q*q**(-2\/7))))))**(-10\/3)\/(q**(4\/5)*q*q*q**(-2\/7)\/q) assuming q is positive.\nAnswer: q**(-1109\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, -282, -679, -1246, -1983, -2890?\n\"Answer: -85*f**2 + 28*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {y: 2, l: 1, p: 1, m: 1, x: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29707673 to three decimal places.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30033 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 4. Let d = 570 + -571. Let o(x) = -x**2 + 1. Give d*w(j) - 3*o(j).\nAnswer: 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let h(i) = 152*i**2. Give h(g(o)).\nAnswer: 152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(20449781\/(-1202927) - -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 11, 135806 in ascending order.\nAnswer: -4, 2, 11, 135806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40475\/23 not equal to 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2146191542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 12 = -2*i, -7*a - 26 - 14 + 11 = 5*i - 8*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(12\/(-9)) - 84\/56. Let q(h) be the second derivative of z*h**3 + 0*h**2 - 2\/33*h**4 + 10*h - 1\/165*h**6 + 2\/55*h**5 + 0. Factor q(s).\nAnswer: -2*s**2*(s - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, c: 4, e: 5}. Give prob of picking 1 c and 1 e.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y. Let h(w) = w**3 + 10*w**2 + 7*w - 11. Calculate the remainder when z(4) is divided by h(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007 - 19890432.8942.\nAnswer: -19890432.8872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -6*2\/30*-30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228\/13 < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 63*a**3 + 6*a**2 + 3*a + 4. Let z(s) = -s**2 - s - 1. Let i(v) = x(v) + 4*z(v). List the prime factors of i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9012 + 12808. Calculate the highest common divisor of 143 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/d*d\/d**(-16))**(3\/34) assuming d is positive.\nAnswer: d**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 101*m**2 - 7*m - 11. Let n(x) = 50*x**2 - 3*x - 5. Determine -7*n(g) + 3*o(g).\nAnswer: 3*g**3 - 47*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.046 - -0.046. Let m = -24 - f. Let l be -2 - (-1 + 2\/(-2)). What is the closest to l in -2\/11, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 61*t**3 - 69*t**3 - 2 + (0 - 4 - 8)*(3*t**3 - t**3 + 0*t**3).\nAnswer: -154*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (14 + -13 - 12 - 2) + -94 + -14?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 2*b**2 - 1146001966 + 1146001970 + 5*b. Let n(u) = 2*u**2 + 2*u + 2. Let t(d) = d + 3. Let k be t(-6). Determine k*p(g) + 5*n(g).\nAnswer: g**2 - 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 7*w - 5. Let o be q(2). Let b(y) = -y**2 - y + 1. Let p(a) = -3*a**3 + 6*a**2 + 6*a - 6. Determine o*p(x) + 6*b(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345391907.\nAnswer: 7, 17, 2902453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.8 + 1.8. Is u at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3\/4*h**4 - 7*h**3 + 45\/2*h**2 - 51 - 27*h. Determine k, given that l(k) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 59*z - 58 + 62 + 29*z - 16*z. Let q(b) = 3*b. What is t(q(r))?\nAnswer: 216*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -27. Suppose -2*c - 858 = -836. Let b = j + c. Solve -b*q = -0*q - 4*a + 10, 5*a - 24 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 453, 450, 435, 402, 345, 258?\n\"Answer: -s**3 + 4*s + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*d**4 + d**4 - 17 + d**2 - 5*d**4 - 2*d**3 as r*d**2 + b*d + x + s*d**3 + p*d**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bny when three letters picked without replacement from gyyygygnkkbyk.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1639*u**2 - 4*u + u + 3688*u**2 + 656*u**2 + 861*u**2.\nAnswer: 3566*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2 + 622*k + 190*k + 337*k**3 - 681*k**4 - 5*k**2 + 683*k**4 + 572*k wrt k.\nAnswer: 24*k**2 + 2022*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 76, 118, 160, 202, 244?\n\"Answer: 42*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/990 + -82\/495. What is the smallest value in -5, w, 5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 1019764718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1500*q - 19 = -1503*q, 19*q - 76 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 1. Let r(l) = 6*l + 3. Let g(b) = -19*b - 9. Let j(h) = 4*g(h) + 12*r(h). What is j(y(i))?\nAnswer: -12*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 18*k**2 - 111*k - 270 = 0. What is k?\nAnswer: -9, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {y: 7, s: 7, u: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/(-6))\/(-7) + -28 + 22. What is the fifth biggest value in -7, g, -2, 3, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*7)\/((-8)\/((-128)\/(-56))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1440*k + 217*k + 610*k + k**2 + 120*k to s*k**2 + p + o*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4 + 30*p**3 + 35*p**2 - 120*p - 124 = 0. Calculate p.\nAnswer: -2, -1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*t + 16 = 0, -5*k = -0*t + 5*t - 110. Let h be (-5)\/2*(k\/25 + 0). What is the smallest common multiple of 12 and 1 + (4 + h - (-2 + 3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from ggcggvggrgggc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2264 (b) -2 (c) 33260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2157 (base 9) to base 7.\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111011110100 (base 2) in base 15?\nAnswer: -3108a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 + 1.075. Let g = -0.015 - s. Let h = -0.14 - -0.34. Which is the closest to 0.1? (a) h (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43513464 - 1?\nAnswer: -43513465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 v when four letters picked without replacement from wyuggvgwwuuwwwwygy?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 100. Suppose p = 6*d - d. Solve -2*a - 4 = -3*g, a - d*g - g = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 44 = 5*w - 14, 39 = -5*w + 4*n for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960520663 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 649952, 1299902, 1949852, 2599802?\n\"Answer: 649950*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79964.97ug in nanograms?\nAnswer: 79964970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h**2 + 4*h + 1. Let r(d) = 22*d**2 + 3*d + 1. Suppose -4*s + 21 = -n, 3*s - 4 = -n + 3. Let l(m) = s*r(m) - 3*w(m). Does 4 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 266808.\nAnswer: 10939128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-152)\/14 + 2\/(-14). Let z be 0 - k*(-3 + 9). Let l(b) = b**2 + 5*b + 6. Let w be l(-5). What is the highest common divisor of z and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**2\/2 + 1. Let k(c) be the second derivative of 22*c - 5\/12*c**4 + 0*c**3 + 0 + 0*c**2. Give a(k(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.733 - -2430808?\nAnswer: 2430802.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/4 + 17*k**3\/3 + 15*k**2\/2 - 22*k + 129. Let w be -1*(16 - (2 + -1)). Is v(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Suppose -z*d + 231 = d. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.9 + -86. Let c = -109\/21 - -48\/7. What is the nearest to -1 in 0, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/6 - (3 - 0). Let k be -1 - (0 - 4 - 2). Suppose -4*f = -9*f - z + 2, 3*z = k*f + 6. Solve x = 3*o + 4*c, f = -5*c - 4 + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 6. Let d(s) = -s + 1. Determine 3*d(y) - u(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/7 - 29462*o**4\/7 + 20696*o**3 + 35136096*o**2\/7 + 435744576*o\/7 + 57254688 = 0.\nAnswer: -18, -1, 42, 14726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 140, 468, 1094, 2114, 3624, 5720?\nAnswer: 8498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 + 44769*j + 89526 = 0. What is j?\nAnswer: -14921, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20097 (base 11) in base 4?\nAnswer: -13023030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g + 16. Let k be 0 + (-17 - (-4 + 4)). Let b = -21 - k. Let c(y) = 18*y + 15. Let i(h) = b*s(h) + 5*c(h). What is the derivative of i(n) wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (20 - -15 - 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5 (c) 3\/8 (d) -81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11*l = 6. Let v = 58\/5 - 1231\/110. Is v not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 247, 455, 647, 823, 983?\n\"Answer: -8*j**2 + 232*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z - 343281 = -340411 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11561055 - -3.268914.\nAnswer: -11561051.731086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-30) + 1743\/18. Calculate the common denominator of y\/42 - (-20)\/60 and -77\/118.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 43*f**2 - 4*f - 4. Let j(z) = -170*z**2 + 18*z + 16. Give 2*j(x) + 9*k(x).\nAnswer: 47*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162 + -14336?\nAnswer: -14144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {a: 1, w: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498795388100*k**2 - 5*k**3 - 2*k + 2*k - 498795388100*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dobe when four letters picked without replacement from oobodllhdoeedoooooo.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:52 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*n**3 + 2 + n - 12*n**2 + 3*n**3 + 22*n**2 - 14*n**2 to the form b*n + l*n**3 + k*n**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231432615 and 1305?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + y - 40. Calculate t(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42519 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjcugiugjux. What is prob of sequence jx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Suppose a - 5 = -f. Solve j**4 - 1 + 13*j**3 - 12*j**a - 7*j**4 + 9*j**2 - 2*j**4 - j = 0.\nAnswer: -1, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 + (-1)\/(-1))\/(14 - 3777\/270) and 42?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10395 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 149075522, 149075525, 149075528?\n\"Answer: 3*i + 149075519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (28440\/600)\/(3\/55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -718*l + 720*l - 1440. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 29*k + 10. Calculate the lowest common multiple of g(2) and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 23 = 4*m - 0*m, 2*m + 24 = -4*c. Is 2\/9 - (m - 5007163\/63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 7 + 14 + -11 + (-12 - -23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2 + sqrt(704))**2*-2.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13288*z**2 - 10764*z**2 - 2515*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19853 - 19852.8. What is the second biggest value in y, 1, -25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12) - (110\/12)\/(-11).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = 238*x - 242*x + 24, 13 = -3*z + 5*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than 2192425?\nAnswer: 2192423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*j = -4 + 2, 4*j = -n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92\/169 - -70144\/5915. Let o = t - 58\/5. Let h = 992 + -983. Is h less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * 8\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 - q + 4. Let c be g(5). Let v(y) = 78*y**2 + 3*y + 1. Let p be v(c). What is the remainder when 3553\/p + 1\/4 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -251802, -251746, -251684, -251616?\n\"Answer: 3*m**2 + 47*m - 251852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 + 1 = 0. Suppose 0 = -2*h - 2*u + 17 + 1, -p*u + 48 = 5*h. Let j = -63 - -70. What is the remainder when h is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + z**2 - z**2)*(z - 2 + 2)*(12 + 3 - 5) to the form i + j*z**2 + b*z**3 + c*z and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 1146648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062.5144057 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 61.03. Which is bigger: p or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad6 (base 16) to base 13.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 782274*m**2 + m**3 + 782274*m**2. Let b(l) = -l**3 + 6*l. Suppose 0 = -0*a - 6*a - 36. Give a*f(g) - 5*b(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4 and -13\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -2*z + 9, -2*z = -10. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q - 20. Let w be c(9). Suppose w + 60 = -j. Let s = j + 562\/5. Are -1\/5 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/45)\/(34\/4). Is g >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - q - 20 as u + a*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2869086 in descending order.\nAnswer: 2869086, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (-13 - (-6 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1199 = 3*q, q + 0*i + i = 408. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Let v(f) be the third derivative of 7*f**5\/12 - f**4\/8 - f**3\/6 - f**2. Is v(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-2) - 3) + 3984\/48. Calculate the greatest common factor of 114 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.6111 centuries in years?\nAnswer: 39661.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 + 13 + 9*j**2 - 12*j - 15*j - 6*j. Let t be m(16). Let f be -4 - (t + 6\/(-8)). Which is smaller: f or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 5. Let z be a(0). Suppose -4*q = j - 31 + 10, z*j + q = 29. Suppose 2*g - j = 1. Solve 2*x = -g*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 26)*(1 - 2 - 2)*(-2 - 1 + 6)*(5 + 1 - 4)*(-4 + 2*q + 4)*(10 - 12 + 8) as w*q + k and give w.\nAnswer: 6480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2. Let a(t) = 4*t - 5. Let j(p) = -2*p + 3. Let g(b) = -6*a(b) - 10*j(b). Calculate g(k(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 128. Solve -5*b + g = -16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 20*b**2 - 53*b - 53. Calculate t(6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -30 - (717 + -700) - -83\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + 52\/(-8). Let t = 11 + m. Suppose 3*h = 4*u + 3, 4*u - 5 = h + 2. Is h less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/((-120)\/64 - -2) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**3 + 17*o**2 - 17*o + 23. Let f be 1*(60\/3 - 3). Let l(y) = -2*y**3 - 6*y**2 + 6*y - 8. What is f*l(s) + 6*p(s)?\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 20*q**2 - 34*q + 16.\nAnswer: -2*(q - 8)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 5*t - o + 7, -4*o + 11 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2577 from -1.1.\nAnswer: -2578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 365\/(-10)*(-2 - 4). Let n(f) = f**2 + 4*f + 379. Let j be n(0). Let q = j - g. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + sqrt(5)*-1 - 1*(sqrt(5) + 0)) + -2).\nAnswer: -12*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*(a*a\/(a*a*a**6\/a))\/a*a)\/a)\/(a\/a**8))\/(a**(-1))**39*((a*a\/a**(-10)*a*a*a)\/(a*a**(2\/15)*a))**(-1\/9) assuming a is positive.\nAnswer: a**(5477\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/((-3)\/9). What is the third derivative of -4*m**5 - 3*m + 3*m**2 + m**5 + w*m wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 489 and 1076034.\nAnswer: 175393542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1084934 decades?\nAnswer: 0.01084934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14119 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/342276 and -41\/171138.\nAnswer: 342276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 6750600*s**3 + 3797178728850*s**2 + 417750923865000*s + 11488711999276875.\nAnswer: 3*(s - 1125155)**2*(s + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**5\/35 + 60*f**4\/7 + 237*f**3\/7 - 2*f**2\/7 - 948*f\/7 - 6184. Factor d(z).\nAnswer: (z - 1)*(z + 2)**2*(z + 237)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*g + 5, 5*g - 5 = 2*f - 40. Suppose -3*y = -f - 43. Suppose y = 9*h - 5*h. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 9*b = -62, -362922*b = 3*h - 362924*b - 29 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 5*u**2 - 5*u - 3. Let v be 33\/2*(-2)\/(-3). Let q = 8 - v. What is t(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 463 and 467630?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-13*c + 13*c - c**2)*(-792 - 75*c**3 + 792).\nAnswer: 75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -119263.\nAnswer: -2385260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109512 and 366?\nAnswer: 6680232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00673 and -3.\nAnswer: -0.02019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49538901*p**2 - 2023 + 3273*p**3 + 49538901*p**2 wrt p.\nAnswer: 9819*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144090041.\nAnswer: 139, 1036619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o + 24 - 72 - 18. What is the fourth biggest value in 5, o, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 16914 and 16909 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4983*d + 48. Let o be h(8). Let i = o - 958031\/24. Find the common denominator of i and 45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -226, -512, -912, -1426?\n\"Answer: -57*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 1. Let n be j(-1). Let v be 1\/(51\/24 + n). What are the prime factors of 15\/20 + 42\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.706 and -0.354?\nAnswer: -0.249924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42700, 85376, 128026, 170638, 213200, 255700, 298126, 340466?\n\"Answer: -2*b**3 - b**2 + 42693*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 3}. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 1807*g**2\/7 - 3617*g\/7 + 1809\/7.\nAnswer: (g - 1)**2*(g + 1809)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1207126597?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/28416580 and 65\/3352.\nAnswer: 56833160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-4))\/4 + 0. Let h be 1\/((-5)\/(80\/w)). Find s such that 87*s**4 + 132*s - 83*s**h + 32*s**3 + 96*s**2 - 4*s + 64 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 22088 = -5*x, 2*b - 9*x = -5*x + 14762. What are the prime factors of b?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8572, 3064, -4 in decreasing order.\nAnswer: 8572, 3064, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 15, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15))**(-29) assuming m is positive.\nAnswer: m**435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-2 + 2 - o) - 5 + 2*o - 4*o + 3 + (-3 - 3 - 1)*(4 - 4 - 2*o) to the form f + u*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*j - 650*j**2 - 3*j**3 + 650*j**2 - 146 - 51*j)*(1 - 3*j - 1).\nAnswer: 9*j**4 + 438*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 1\/89 (c) -3 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 255 = 5*h, -2*h = -5*o - 3*h + 225. Let a = 48 - o. Suppose -a*v = -3*r + 224, -r = 3*v - 2*v - 78. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(112) + 1)*-1 + sqrt(112) - (-3 + sqrt(112) + -1 - sqrt(112))) + 5 + (sqrt(112) - (4 + sqrt(112) + 0))) + -4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2956 + 2958. Let a(p) = -p**2 + 3*p - 4. Let o(z) be the first derivative of -z**3\/3 + z**2 - 3*z - 1. Give b*a(c) - 3*o(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300.5578 - -311.5578152. Let u = o - 11. Round u to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36558*k**2 + 12146*k**2 + 12084*k**2 + 12071*k**2.\nAnswer: -257*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 4, x: 1, i: 2, a: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c - 57. Let j(w) = -w**2 + 9*w - 3. Let t(k) = -1. Let s(o) = j(o) - 2*t(o). Let h be s(5). What is the greatest common divisor of c and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9789.287l to millilitres.\nAnswer: 9789287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5)*2 + 5 + 4)**2.\nAnswer: 44*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oddd. What is prob of sequence do?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let c = x - 1.8. What is the closest to 0.1 in 2\/5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60731.2 rounded to the nearest 100?\nAnswer: -60700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/((-120)\/290)*2*307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2695 minus 0.1?\nAnswer: 0.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9682186, -9682188, -9682192, -9682198, -9682206, -9682216?\nAnswer: -9682228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*w**2 - 19430*w + 19430*w.\nAnswer: -201*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 r when three letters picked without replacement from {r: 1, j: 1, s: 2, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 3418 + 3364 + 3371 - 13524 - 4*r + 3371.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-58) - (155760\/(-696))\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -3589*d**5\/20 - 2153*d**2 + 5579*d. Differentiate u(n) wrt n.\nAnswer: -10767*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - a + a + 0*a to t + q*a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*a - 93*a + 468 = 0. Calculate the highest common divisor of a and 252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12327 - 4112 - 4110 + 41*o - 4105. Let t(b) be the second derivative of -b**4\/6 - b. Determine t(l(y)).\nAnswer: -3362*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 33, 44, 51?\n\"Answer: -2*c**2 + 21*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1036898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r*r**(2\/23)*r*r**(-6)*r**(-2\/17) assuming r is positive.\nAnswer: r**(-4313\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96844780, 96844775, 96844768, 96844759, 96844748, 96844735?\n\"Answer: -v**2 - 2*v + 96844783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 118. Let g(p) = -p**2 + 14*p + 53. Let j be g(i). What is the nearest to -0.5 in 0.2, j, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394.797477 - -394.8. What is z rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k + 6. Let m(q) = -22*q - 13. Let h(n) = -13*j(n) - 6*m(n). Let y(i) = -98*i**2. What is y(h(o))?\nAnswer: -392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/8 and -49\/1387080.\nAnswer: 1387080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486763 is divided by 1628.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.56 + 13.26\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -57339, -1.2, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.61126 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvdvdzvzvzddvvvdvd. What is prob of sequence vzv?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12191348*2\nAnswer: -24382696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -18\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 o when three letters picked without replacement from ueeiulllulouloeu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8803 + 9092. What is the remainder when 2013 is divided by p?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.001455 (b) -0.4 (c) 285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - 2*y**2 - y + 4506. Let h(k) = 3*k**3 + 11*k**2 + 9*k + 3. Determine 4*h(f) + 9*p(f).\nAnswer: 3*f**3 - f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3490\/61075 - -1*(-313)\/(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*12\/(-225))\/(6\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13071*w**3 - w - 33 + 6535*w**3 + 6535*w**3 + 33.\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1612 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -905 - -1708. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 445.5 - 446. Let v = 8 - 8. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2398 - 1283. Let w be (48\/15)\/(3\/15). Find the third derivative of 2*b**2 + w*b**5 + 1115*b**3 - b**2 - f*b**3 wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -786 - -1006. What is the least common multiple of q and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 702 and 2418.\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29604370 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4 and -2*(-537)\/108 + 2 + -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:33 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2652 and 2448?\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*c + 4*n - 35, 2*c = -5*n + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 18. Let j be f(-5). Let h(q) be the first derivative of -q**4\/4 + 5*q**3\/3 - 2*q**2 + 12*q - 1. Let g be h(j). Solve 0 = 4*r + 6 - g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/7)*s)**(-5)*s**21\/(s*s*s\/(s\/s**(2\/11))*s) assuming s is positive.\nAnswer: s**(437\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*4 - (sqrt(65)*-1 - sqrt(65))*1)\/(sqrt(45)\/sqrt(900)*-4).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - 4*t**2)*(3 + 44*t**3 - 9 + 4)*(1 - 1 - 2).\nAnswer: 352*t**5 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otnntxnttxttx. What is prob of sequence oxtt?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let m be ((-24)\/(-9))\/(24\/2988). Let r(c) = m + 10*c - 332. What is t(r(b))?\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26.2 from 43964531417.\nAnswer: 43964531390.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - 416\/(-39)) + (-10)\/6. Let f(q) = -3 + 131*q - 124*q + 11. What is f(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3*p**(-5))\/((p**(-1\/6)\/p*p)\/(p\/(p\/p**8)))*(p**(-3\/2)\/p*p**(-8))\/(p**(2\/5)\/((p**(-1\/9)\/p)\/p)) assuming p is positive.\nAnswer: p**(-533\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 231371398193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, k: 5}. Give prob of sequence ekee.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 10*d**2 - 10*d - 13. Let h be g(-9). List the prime factors of (-2)\/h + (-17)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1665 and -179\/116550?\nAnswer: 116550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u**4 - 21*u**3 - 93*u**2 + 96*u - 15. Let i(l) = -3*l**4 + 5*l**3 + 23*l**2 - 24*l + 4. Let s(w) = -21*i(w) - 5*o(w). Factor s(z).\nAnswer: 3*(z - 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*d + 1482 + 1945 = 58*d - 1707 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**(-13)))\/x)\/((x**(-9)\/x)\/x)*(x**(-1)*x*x*x)**33)**(-2\/11))**(3\/8) assuming x is positive.\nAnswer: x**(-189\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 17*k - 29 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 188*q**2 + 4176*q - 9072.\nAnswer: -4*(q - 63)*(q - 2)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 36*y**2 - 9*y - 74. Determine s(18).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5, 6*y = 4*r + 4*y - 158. Solve -4*m - 2*n = 38, 5*m - 37*n + r*n + 60 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333683, 333678, 333673, 333668, 333663?\nAnswer: 333658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p**3 + 11*p**2 - 245*p + 726. Let u(l) = -3*l**3 + 2*l**2 - 49*l + 145. Let k(t) = -2*c(t) + 11*u(t). What is the derivative of k(j) wrt j?\nAnswer: -9*j**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k**3 + 8. Let t(d) = 23*d**3 - 16. Let r(u) = -5*o(u) - 2*t(u). What is the derivative of r(s) wrt s?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 1:59 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -10) + 22\/(-6)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 69*j. Let v(p) be the second derivative of p**4\/6 - 463*p. Calculate v(a(y)).\nAnswer: 2*y**4 - 276*y**3 + 9522*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*t = -52, -13 - 26 = -3*o - 3*t. Suppose -5*b + 3*z + o = -16, 0 = -z - 3. Solve -b*i - 10 = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 438*i - 435 wrt i.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-202)\/(-6))\/(1\/12). Let a(j) = -j + 2. Let i be a(-2). Suppose 80 = i*o - c. Calculate the highest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 20. Let a be f(0). Suppose 2*z = 8 - 0. Calculate the greatest common factor of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - o**2 - 2*o**2)*(-537*o + 207*o + 280*o + 167*o) to the form g*o**3 + h*o + v*o**2 + b and give g.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 10. Let j be g(-7). Let v = 0 + j. Let f(o) = 3*o - 4. Calculate the lowest common multiple of v and f(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 18, 4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from uuljjuxjjkjnuujl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, -205085588.\nAnswer: -205085588, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176945, 354024, 531237, 708584, 886065?\nAnswer: 1063680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -222240 divided by -44448\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36265.\nAnswer: 5, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6)\/(-4)*9. Let m(n) be the first derivative of -n**2\/2 - 5*n - 13. Let q(s) = -2*s - 6 + 1 - 6. What is b*q(r) - 7*m(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let o be v*((-4)\/(-6))\/(-1). Suppose -3*x - 41 = -z, -o*z + 97 = -x + 5. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051683252 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.1, 55, -1\/9, -15.\nAnswer: -15, -1\/9, -0.1, 4\/3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o - 0. Suppose 5*u + 4*b = 44, 4*b - 27 = -3*u + b. Suppose 0*v + 4*v + u = -4*m, -o*v - 21 = -2*m. Solve 6 = -0*z - m*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (1 - (11 + -6)). Suppose s*p - y = 31, p - 13 + 8 = -3*y. What is the remainder when 54 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357624883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(765\/(-414))\/(-17).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {x: 3, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - p**2 - 13. Let n(z) = z**3 - z**2 + 2. Give -c(t) + 3*n(t).\nAnswer: t**3 - 2*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eheehehehh. Give prob of sequence hee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -28 - (3 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 18*s**2 - 177*s + 1311. What is g(21)?\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*r - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate -462636 divided by -9.\nAnswer: 51404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29280 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13931467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/3*14. Let h(x) be the third derivative of -61837*x**5\/60 + x**4\/24 + x**3 - 157*x**2. Let i be h(t). What is i rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 - 9*k**2 + 5*k + 1. Determine l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8.212.\nAnswer: -8.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3)*(-4*f + 2*f + f)*(26*f**3 + 7939*f**3 + 8908*f**3) to the form x + q*f**2 + b*f**4 + c*f**3 + d*f and give b.\nAnswer: 33746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 40, 55, 68, 79, 88, 95?\n\"Answer: -u**2 + 20*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/11 - (-30 + 16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 5*n**2 + (-n + 4*n + n)*(4*n - n - n))*(3*n**2 - 2*n**2 - 3*n**2) - 4*n**4 + n**4 - 5*n**4 + (-5*n + 2*n + 2*n)*(-1 - n**3 + 1).\nAnswer: -19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 55*j - 50.\nAnswer: -5*(j + 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z = -82*z + 336 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -0.9. Let n = -375\/8 + 47. Let k be (-1)\/4*8\/(-6). Put n, f, k in ascending order.\nAnswer: n, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 4*k**3 + 3*k**2 - 14*k + 8.\nAnswer: -(k - 4)*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, o: 1, l: 1, i: 1, r: 2}. Give prob of picking 1 y, 1 r, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 5. Let v be a(12). Let o = 51 - v. Let h(p) = 5*p**2 - p + 2. Let g be h(-3). Calculate the highest common factor of o and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/1*-6. Suppose 5*x + 2 - 7 = 0, -x - 7 = -4*n. Sort n, -5, l in descending order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 - 7*t + 8. Let n be r(6). Suppose -29*a = 47*a + 228. Sort a, n, 3, -2.\nAnswer: a, -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 7*f**2 + 0*f**2 + (-3 + 3 - 3*f**2)*(5 - 2 - 5) + 2*f - 2*f - f**2 + (-f - 3*f + 2*f)*(-f - 2*f + 4*f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 461 + -448. Let n(c) = -c**2 + 9*c - 14. Let p be n(4). Solve -p*f + 5 + h = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 31*k**2 + 188*k + 311. Give y(-36).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o**(1\/21)*o)\/o))\/(o**(-40)\/o)*o**26*o*((o*o**15)\/o)\/o assuming o is positive.\nAnswer: o**(1700\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*m - 2*m - 2, 0 = u - 2. Suppose -2*x - 3 = -2*v + 9, -3*v + 11 = m*x. Suppose 4*b - 2*t + 636 = 3898, 4*b = -v*t + 3283. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 20*z**2 + 42*z + 155. Let m be u(22). Which is the fourth smallest value? (a) -4 (b) m (c) 0.1 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27454043 - -6?\nAnswer: 27454050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-2 + 3 - 2) + (1 + 2 - 1)*(0 + 0 + 2) + 4 - 3 + 1)*(8 + 22*q - 8).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-7)\/k))\/k*k**(2\/7)*k)\/(k*k**7*k*k*k*k)**(-20))**(6\/31) assuming k is positive.\nAnswer: k**(10470\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205\/4 + -51. Let m = -5.9 + 6. Let n = 1 - 4. What is the nearest to m in z, n, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t + 136*t = -539 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 84. What is the remainder when p is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 443 = -18*v + 148, -2*v = 2*x + 31 + 39 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 - 3*p**5 + p**5 + (6*p**4 - 2*p**4 - p**4)*(8*p - 3*p + p).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18*s**3 - 2524*s**2 + 11*s - 1670. Let g(y) = -10*y**3 - 1262*y**2 + 6*y - 833. Let l(n) = -11*g(n) + 6*m(n). Differentiate l(q) with respect to q.\nAnswer: 6*q**2 - 2524*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 3*q - 18, 0 = q. Let m = 12 - c. Suppose -m*f + 94 = -4*s + 287, 0 = -3*s - 3*f + 150. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -195.3865908 from 41.\nAnswer: 236.3865908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 9 + 126*o**3 + 12 - 2*o**2 - 128*o**3 to the form f + v*o**2 + j*o + h*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 47095.\nAnswer: -47100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 11*g**3\/3 + g**2 + 487. Let c(x) = x. Suppose 5*b + 2*n - 7 = 0, -n - 4 = -2*b - 3*b. What is b*j(l) - 2*c(l)?\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/6 + k**3\/2 - k**2. Let x(z) = -z - 1. Let g(q) = -2*q - 2. Let n(o) = 3*g(o) - 5*x(o). What is c(j) + 3*n(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 7, n: 7, f: 2, m: 3}. Give prob of sequence mm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -432*i + 438*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 6*h + 5*h - 5*h**3 - 1 - 2*h**3 - 3*h**2 - 5*h**3 as p + f*h**2 + l*h + r*h**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65723362 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/61))**(-24)*(w**(-42)\/w*w)\/w**(-46))**(-14) assuming w is positive.\nAnswer: w**(17752\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2654 + 25*l + 2654)*(51 - 85 - 60).\nAnswer: -2350*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 495162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/6721 + -6725\/13442. Is h > -118.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -23)\/(-5 + 2 + 1). Let l(j) = j**3 + 12*j**2 - 11*j + 30. What is the least common multiple of l(u) and 62?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1\/6, -1\/12, 1014929?\nAnswer: 1014929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -53. Let s = -40 + h. Let l = 0.2 - 0.7. Which is the nearest to 0.2? (a) l (b) s (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2761\/165*(19 + 2) + 1. Let m = 352 - w. Is 0.1 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/16360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(-5))\/((u**(2\/13)*u*u)\/u**(-2\/3)) assuming u is positive.\nAnswer: u**(-266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-7\/2)*(b\/(b\/b**12))\/b*(b\/(b*b**(-1\/10)\/b))**(-20) assuming b is positive.\nAnswer: b**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5)*(-1715)\/(-98))\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22631979 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from roz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.55139 rounded to one dp?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*v + 11183*d**2*v*y + 6961*d*v*y + 3*d*y wrt d.\nAnswer: -6*d*v + 22366*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*-4*((-91440)\/(-96))\/127.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h. Let n(u) = 30*u**2 - 2 + 33*u**2 - 62*u**2 + 2. Calculate n(y(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 2*b + 5. Let t(l) = -8*l**2 + 5*l - 14. Let s = 3 - -1. Let o = 4243 + -4232. Determine o*q(a) + s*t(a).\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/(2\/(-42)). Suppose -g*c = -3*c - 444. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492054946 to the power of 1\/2, to the nearest integer?\nAnswer: 22182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136) + sqrt(136)*1)*-2))\/sqrt(8) + -3.\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and -13\/38059805?\nAnswer: 152239220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - -3 - -4) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 2. Let x = 7.7 - t. Suppose -3*o - 15 = -3*d, 10*o - 2*d = 5*o - 22. Sort o, x, 4 in ascending order.\nAnswer: o, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*v - 1431 = 0, 0 = 15*v - 16*v - 3. Let w = r - -382. Solve w*d = 23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-6)\/15)\/((-1)\/20) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 6:06 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((sqrt(108)\/sqrt(4))\/sqrt(3))*-4 - ((sqrt(1836)*1)\/(sqrt(3) + sqrt(432)))**2.\nAnswer: -4*sqrt(17) - 612\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 922 - 921. What is the fourth smallest value in -1, 2\/39, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 1769851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5130951*l. Let q(v) = -8*v. Give x(q(h)).\nAnswer: 41047608*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.49 + -0.79. Let c = -1.1 + 5.1. Let z = 7 - c. What is the biggest value in z, -0.2, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 79, 91, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 143083094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2\/15, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*j**2*v**2 - 12*i*j*v**3 - 6*j**2 - 13*v**3 with respect to i.\nAnswer: 5*j**2*v**2 - 12*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let c be t(-4). Solve 0 = 5*z - 3*h - 4 + 18, c*z + 5*h - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 8. Let n be q(-2). Is ((-1469)\/(-26))\/((-1)\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654 is divided by 1304.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 8850.\nAnswer: 584100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 54\/7 (c) 240344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1343265503 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1703 - -1700. Let m = 0.28 - -0.02. Which is the biggest value? (a) 2\/7 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-25 - 1576\/(-4))*(-56)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 49 + 44. Let t = m - -51. Solve 0 = -4*g + 2*u + u - 12, 4*g - 5*u = -t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*1\/3. Let p = 5 - 2. Let i be (p*(-2)\/(-108))\/((-8)\/(-32)). Which is the smallest value? (a) 0.3 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3 + 1173214*k**2 + 5*k + 119076908 wrt k?\nAnswer: -6*k**2 + 2346428*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7))\/2*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = -3*v + 14, -29 = -4*q - 3*v. Let y be -1*(-3 + 36\/(-2)). Let t = q + y. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**2*k*k**3 assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 1\/5 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 3*o**3 - 3*o**3)*(-14 + 6 + 3*o + 4).\nAnswer: 9*o**4 - 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 7. Let x be 4\/22 + 474\/(-66). Let f be l(x). Suppose 0 = -f*v - v + 11. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69223, -69224, -69223, -69220?\nAnswer: -69215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/24 - 5*b**3\/18 + 2*b**2\/3 - 2*b\/3 + 6. Factor k(i).\nAnswer: (i - 2)**2*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 7*g + 7*g)*((-3*g + 4*g - 2*g)*(-3 + 3 - 1) + 0*g - g + 2*g + 2 + g - 2 - 2*g + g - g - 1 + 1 - 2*g + 0*g + g - 3*g - 69 + 33 + 2*g + 29).\nAnswer: -g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*v - 1729 - 2309 = 224 + 9502 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-9 + 2) - 7) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -32*u + 29*u. What is the smallest common multiple of u and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 394, 1, -3 in descending order.\nAnswer: 394, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*m + 132*m + 579*m.\nAnswer: 551*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49421, 49427, 49433?\nAnswer: 49439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5015518 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 81873.32.\nAnswer: -16374.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11942 or 11946?\nAnswer: 11946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y + 19*y = 2448. What is the remainder when 1114 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123 is divided by 315?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 6*m**2 - 5*m**2 + (2*m - 3*m - m)*(-7 + 7*m + 7) + (0*m + 0*m + m)*(-3 + 2*m + 3) - 3*m + m**2 + 0*m**2 - 3*m.\nAnswer: -17*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540182 + 499145 = -200*p - 230273. Which is smaller: -6350 or p?\nAnswer: -6350","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 278230 and 92.\nAnswer: 12798580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(2673) + sqrt(2673))*-4*2)\/(-3*sqrt(396)*2).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j**2 - 32*j**4 - 2\/3*j**6 + 0*j + 30 - 128\/3*j**3 - 8*j**5. Find i such that w(i) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.3.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1611*t**3*x**3 + 49*t**3*x**2 + 7*t**3*x + t**2 + x**3 - 7*x - 2208 wrt x?\nAnswer: 9666*t**3*x + 98*t**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61979926 - 56.\nAnswer: -61979982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**3*k*p + 31*g**3*p - 3*g**2*k*p - 8*g**2*p - 2*g*k*p - 2*k*p wrt g?\nAnswer: 36*k*p + 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -476, -809, -1002, -1055, -968, -741, -374?\n\"Answer: 70*g**2 - 543*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmatattmanap. Give prob of sequence npa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 1, 5*g - 2*h - 112 = 0. Let z = -39 - -27. Let w = g + z. Calculate the smallest common multiple of 1 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27840*3\nAnswer: -83520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 16) to base 12\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 233*d**2 - 10 - 7*d + 3 - 237*d**2 + 13*d**3. Let o(u) = 4*u**3 - u**2 - 2*u - 2. Determine 2*a(s) - 7*o(s).\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 584454841 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 6, u: 7, b: 6}. Give prob of picking 1 u and 1 b.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -692, -1382, -2072, -2762, -3452, -4142?\n\"Answer: -690*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*j**2 - 1 - 109*j - 1 + 6.\nAnswer: 4*j**2 - 109*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 1\/2*k**3 - 3\/10*k**5 + 3\/2*k**2 - 3\/4*k**4 + 0*k + 19. Factor y(f).\nAnswer: -3*f*(f - 1)*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/3 - 307*r**4\/3 + 594*r**3 + 7198*r**2\/3 + 7817*r\/3 + 903.\nAnswer: (r - 301)*(r - 9)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/4 - r**2 - 21. Let v(b) = b. Calculate z(v(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -266*v + 20. Let d(b) = -177*b + 14. Calculate -7*d(x) + 5*o(x).\nAnswer: -91*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -56, -83?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*s - s - 7 = 0, 4*j - 3*s = 5. Let d be (-1)\/(-1) + (j - 4) + -6. Let c be d\/(-3)*3 + (7 - 4). What is the highest common divisor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g + 10. Let s(u) = u**3 + 5*u - 30. Let h be s(4). Let x be (-4 + h)\/(-5)*3\/(-6). Solve -5*o + 7 + g = 3*n, x*n - 4*o + 17 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6759 and 28674682.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*12\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -29?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j - 1. Let r(x) = -13*x - 1. Suppose 0 = -4*p + 6 - 26. Let u(v) = p*i(v) + 3*r(v). Find the first derivative of u(y) wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k. Suppose 3*l + 8 = 2*l + 5*q, 4*l - 3*q - 2 = k. Calculate the lowest common multiple of l and (5 - 2)\/(2 - 5\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a81 + 78?\nAnswer: -1a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 6. Let q(m) = 2*m**2 + 14*m + 9. Let u be q(-6). Let x be j(u). Solve 2*t + x = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90982144 divided by -4\nAnswer: 22745536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 + -80062.\nAnswer: -80061.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 45*f. Let s(a) = 30*a. Let l(h) = 8*s(h) - 5*t(h). Let w(q) = 3*q. Calculate w(l(o)).\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 188, 225, 112, -145, -540?\n\"Answer: t**3 - 81*t**2 + 273*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473150 to the power of 1\/2, to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 14*g - 19. Let u(x) = -x**3 + 7*x**2 + 6*x + 6. Let f be u(8). What are the prime factors of j(f)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 266 = 209 - 69. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*h**3 - 1\/3*h**4 + 1\/3*h**2 + 1\/3*h + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.986 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67, -0.3, 57, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m. Let i be 7 + 552 + (5 - 2). Let y(c) = 562 - i + 16*c**2. Determine y(j(s)).\nAnswer: 4096*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*6*(sqrt(209)*2*-4)\/(sqrt(55)\/sqrt(5)*1).\nAnswer: 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 152.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-300)\/1440)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/17)\/d)\/(d*d*d**(-2)\/d*d*d))\/(d**(2\/7)*d)**(-6))**(-17\/7) assuming d is positive.\nAnswer: d**(-785\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 2}. Give prob of picking 4 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -52, -68, -68, -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-873)\/(-27) + 8\/12 + -4. Suppose 19 = 16*d - i. Let g = 8 + -6. What is the least common multiple of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3435, -13883, -31301, -55689, -87047, -125375?\nAnswer: -170673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9779840 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 2*i**2 - 8*i - 14. Let x be b(-3). Find the common denominator of -49\/45 and 10\/(-50)*2\/(-108)*x.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 12*f**2 - 10*f - 2. Let w be b(13). Suppose 0 = -36*z + w*z - 8. Suppose 16 = 2*c - 3*h, 20*c - 4*h - 40 = 15*c. Solve -c*j - z = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-577*t + 49*t - 157*t + (-2 + t + 2)*(1 - 4 + 5))*((-1 + 0 + 0)*(0 - 1 + 2) + 0 + 4 - 2).\nAnswer: -683*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397037666?\nAnswer: 2, 3, 232839611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2899 divided by -1.\nAnswer: -2899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 9*b + 8. Let v be l(-8). Suppose -2*q = -g - v*q, 3*g + 4*q - 30 = 0. Solve g = c + 2*w, 2 = -3*w + 5*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 15*w**2 - w - 12. Let i be a(-15). Put -0.01, 12, i in ascending order.\nAnswer: -0.01, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -85. Let j be -1 + -2 - m - 1. Let b = j + 20. Solve -3*u + 5*k + 4 + 5 = 0, u + 3*k + 11 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 700 = 7*r. Let x = r - 197\/8. What is the closest to -1 in x, -11\/4, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 22. Let b be p(9). Put -4, 3, 0, b in ascending order.\nAnswer: -4, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-45) - (683907\/165 + 1). Let d = n + 4141. Calculate the common denominator of 50\/9 and d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530007497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y. Let s be 1\/(-3) - (-10)\/(-6). Let c be d(s). Suppose -3*v - 3*l + 24 = 0, 2*l - 4*l = -10. Solve 2*k = -5*z + c, 4*z = -v*k + 3 + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 184. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l. Let c(v) = 6*v**2 - 13*v - 3. Calculate -c(w) - j(w).\nAnswer: -5*w**2 + 15*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69082?\nAnswer: 2, 13, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 43. Let d be (2 - u\/(-4))\/2. Suppose d*g - 34 = -12. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-1\/8))**(2\/25) assuming k is positive.\nAnswer: k**(17\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {u: 5, x: 8, h: 5}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18496 less than or equal to -4613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4827068 - 0.55570738. Let y = u - -0.073. What is y rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (1*sqrt(102)*-1 + sqrt(102))) + sqrt(102))\/(sqrt(6) - 4*(sqrt(6) - sqrt(54))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-60)*(4 - (-36)\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757.2 + -2161. Round c to the nearest ten.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:46 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 4533*m**2 + 6849363*m - 3449795831 = 0 for m.\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let m be (v\/(-6))\/(3\/(-36)). Suppose -w = -m*w + 93. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szssgsgsgggsgsgzeggg. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8372 and 6706271.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -274*c**4 - 6*c**2 + 6*c - 172. Let g(b) = -2*b**4 + b**2 - b. Let q(z) = 6*g(z) + v(z). What is the derivative of q(j) wrt j?\nAnswer: -1144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 17. Let t = q + -13. Let u = t - -34. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 234880 * -2.\nAnswer: -469760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 188 - 77c2?\nAnswer: -7638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24334795487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/5, -0.1, -90\/23, 1\/6 in descending order.\nAnswer: 1\/6, -0.1, -1\/5, -2, -90\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1684 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwqwqwpppqww. Give prob of sequence wq.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5220000 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6704442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106, -3092, -11848, -29260, -58214, -101596, -162292?\n\"Answer: -481*w**3 + w**2 + 378*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.47754 - -0.07754. Sort 0.06, -0.05, h.\nAnswer: h, -0.05, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 312108251 divided by -3429761\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 1, n: 2, d: 2, r: 1}. What is prob of picking 2 b and 2 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4715 + -0.1\nAnswer: 4714.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let s = 3 + z. Suppose 2*g + 28 = q, 4*q + s*g - 95 = 41. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a8 (base 13) in base 9?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/280 - (-63)\/(-44))\/(-4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19423273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + h)*(2*h - 5*h + h) - 3*h**2 + 2*h**2 + 0 - 1.\nAnswer: -5*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*k + 19 = -0*z, 5*k + 31 = 2*z. Suppose z*m + m - 34 = -5*i, m = -4*i + 3. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = p + 3*p, -29 = -5*p - v. Let t be (2\/10)\/(2\/(-5)). Let m be ((-3)\/(-12))\/((-7)\/(-8)). Sort t, p, m in descending order.\nAnswer: p, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 3\/2, -1, -0.1, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1960 is divided by 1458?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -309536 times -1.7?\nAnswer: 526211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 696 = -11*j. Let q = j + -72. Suppose l = 4 + q. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 1\/12*o**4 + 2*o + 3\/2*o**2 + 0 + 0*o**3. Let b be m(-3). What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, z: 2, r: 6}. What is prob of sequence yr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -5*d + 3*p + 38, -5*d + 28 = -p. Let c(w) = 3*w. Let z be c(1). Solve d*l = z*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 42*p**3 - 2*p + 2 - p - 41*p**3 + p. Let y be q(2). Let a(t) = -2*t - 3*t + 2*t + t. Let h(c) = 22*c. What is y*h(w) + 68*a(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**12*g*g**(-4)*(g*(g\/(g\/(g*g*g*g**2)))\/g)**43)**(-27\/5) assuming g is positive.\nAnswer: g**(-5427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + u**3 + (-3*u + 0*u - u)*(2*u - u - 2*u)*(-20 + 20 + 12*u).\nAnswer: 49*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -8234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28302, 33609, 38916, 44223?\n\"Answer: 5307*l + 22995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3 + 177*d**2 - 20010*d - 20184 = 0 for d.\nAnswer: -116, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1623, -1080, -551, -42, 441, 892, 1305, 1674?\n\"Answer: -l**3 - l**2 + 553*l - 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) 308 (c) -1 (d) -0.2 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = 5*k, 2*k + 8 + 3 = 5*u. Let i = 1 + k. Let y(v) = v**3 + 4*v**2 + 3*v + 1. Determine y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/36 + 17\/396. Are -1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, m: 7}. What is prob of picking 4 c?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4674)\/(-369) - ((-4)\/6)\/(-1) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7622, -5, 10, -14 in decreasing order.\nAnswer: 7622, 10, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 198*x + 86. What is the tens digit of d(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q = 3*b + 57, 4*b = -5*q + 154. What is the greatest common divisor of q and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -896710 rounded to the nearest ten thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from zizbljv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -25, 23, 91, 179, 287, 415?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 127310012*u + 12. Let x be h(-1). What is x rounded to the nearest one million?\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 - 1658*f**3\/3 + 1656*f**2 - 4966*f\/3 + 1655\/3.\nAnswer: (f - 1655)*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + u**4 + 1)*(9 + 3 + 3) to the form j*u**3 + s*u**2 + b + k*u + w*u**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 17*u**2 + 173*u + 14. Let l be w(-7). Let s(o) = -7*o**3 - 4*o**2 - 4*o + 4. Let r(z) = 35*z**3 + 21*z**2 + 21*z - 21. Give l*s(m) - 4*r(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -17280 and -17518 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.73 - -4.12. Round q to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -578*n**2 - 6246*n - 63. Let q(p) = 290*p**2 + 3124*p + 35. Let w(f) = 5*j(f) + 9*q(f). Find the second derivative of w(y) wrt y.\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c5 + 5279?\nAnswer: 533e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 70, -91, 2\/891, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -4736\/2365 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 3*v**2 + v - 3. Let q be -7 + (0 - -3) + -4. Let x(j) = -5*j**3 - 8*j**2 - 4*j + 8. What is q*k(a) - 3*x(a)?\nAnswer: -a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 351*d**2 + 28983*d - 12450 = 0?\nAnswer: -83, 50\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 616777 + -616777.19. Let k = 7 - 11. Which is the biggest value? (a) k (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 30. Suppose -4*l - 65 = 3*x, 68 = 2*l - 6*l - 4*x. Let t = l + r. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)*q**6)**(17\/3)\/((q\/q**1*q*(q\/q**(-4)*q)\/q)\/(q**(-2))**(-18)) assuming q is positive.\nAnswer: q**(508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.02, -2.\nAnswer: -2, 0.02, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*q + 20, -5*w - 1 = 4*q + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3294 - -5497. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 14 - (-3780)\/245. Sort 21, 2\/5, l, 6\/13 in descending order.\nAnswer: 21, 6\/13, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/780 - 2*k**5\/195 + 11*k**4\/156 - 2*k**3\/13 + 118*k**2. Factor x(a).\nAnswer: -2*(a - 1)**2*(a + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = 6*b + 425 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 241*p + 1687. What is z(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 28106966*i**2 + 2*i. Let m(f) = 14*f**2. Determine u(m(d)).\nAnswer: 5508965336*d**4 + 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 586*p*u**3 - p*u**2 + 26471*p*u + 3*p - 191*u**3 + u**2 + 69*u + 1 wrt u?\nAnswer: 3516*p*u - 2*p - 1146*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c - 13 - 1 + 31*c + 5 - 14*c in the form p*c + l and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/32 in 0.05, -1, 0.5, 2\/15, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1304544 and -31\/576.\nAnswer: 7827264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3085 and 745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544737 = 60*h - 152763. What are the prime factors of h?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 618140144*b + 587361731 wrt b.\nAnswer: 618140144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 123*r - 172. Determine j(121).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9) - (-2)\/3. Find the second derivative of -13*n + 3*n**t + 10*n**2 - 7*n + 10*n wrt n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, w: 1}. Give prob of sequence wfa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from wwwwwbwbwwwwwwbw.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.5 + -22.5. Sort u, -14, -0.4 in increasing order.\nAnswer: -14, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (121\/66)\/(-4 - 3\/(-2)) and 192\/(-36) - (-10 + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705323 - 1204323. Round i to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - (-80)\/15. List the prime factors of ((-716)\/12)\/((-2)\/c).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-6 - -1) + -5). What is the second biggest value in r, 1\/3, 192?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75 or 1268\/17?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -226, -311, -398, -487, -578, -671, -766?\n\"Answer: -z**2 - 82*z - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -110, -1\/3, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -102675*s**4\/4 + 103415*s**3\/3 - 1112*s**2\/3 + 4*s\/3 - 1851. Solve w(y) = 0 for y.\nAnswer: 2\/555, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87.9994 + -88. Let j = -295.0006 - k. Let t = -295.0000167 - j. Round t to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 11*s - 10*s. Suppose 7*f = f + s. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7 + -8. Let d = h - 4.7. Suppose 2*w + 3 = j, -4*w + 3*w - 2*j + 6 = 0. What is the nearest to -0.1 in 0.2, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -98506 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 162350.264 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 11) + -6 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.39 + -7.39. Which is the second smallest value? (a) 0.8 (b) h (c) -2\/9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-3)\/30)\/((-4)\/(-2)). Let r(q) be the second derivative of b - 1\/8*q**3 + 1\/16*q**4 + 0*q**2 + 25*q. Let r(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x - 16 + 1\/4*x**2.\nAnswer: (x - 16)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -69. Suppose -f*a = -28 - 107. Suppose -4*o - m + 325 = 0, -3*o = 3*m - a - 192. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(567) + 1)**2 - sqrt(567).\nAnswer: 45*sqrt(7) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -3*d - b*w - 15 = 0, 5*d + 2*w = -33 - 4. Let g be (-3)\/d*(5 - 5). Let p(u) = u**3 + u**2 - u + 7. Give p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/34 at least 65\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 64 = 4*b, -3*x + 0*b - 54 = 3*b. Let m = -1\/1509 + 1009\/4527. Let w = 575 + -575.4. What is the closest to m in 0, x, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:45 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -158, -254, -376, -518, -674, -838?\n\"Answer: a**3 - 22*a**2 - 5*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 1*(sqrt(500) + 1))*1)**2.\nAnswer: 40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1)\/sqrt(8) + 4.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 399 - 753 + 438 - 12*l**2 + 4*l - 21*l**2 wrt l?\nAnswer: -66*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12644064 and 216?\nAnswer: 37932192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67212.97 minus -0.4?\nAnswer: 67213.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 2*d + 36. Suppose 4*n + 8 - 32 = 0. Calculate the remainder when n is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 124 = 4*g, 0 = 3*g - 0*q + 4*q - 121. Let z be 16\/56*g\/10. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (8 - (5 + -7) - 1)) + (15 - 24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5781, -11559, -17337, -23115, -28893, -34671?\nAnswer: -40449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*v - 66, 4*x + 0*x = 5*v + 50. Let s = 35 - x. Let z = 45 + s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62583, -125163, -187743, -250323, -312903, -375483?\n\"Answer: -62580*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y**3 + 6*y**2 + 5*y + 6. Let w = 428 - 422. Let m(j) = 18*j**3 - 7*j**2 - 6*j - 7. Give w*m(q) + 7*o(q).\nAnswer: -11*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 7\/6 (b) -0.03 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1)*5 + sqrt(1300)*1 + -2 + sqrt(1300).\nAnswer: -7 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2 + 0*y - 2*y - 2*y + 0*y. Let m(j) = j + 1. Let b(x) = -3*m(x) + o(x). Let u(z) be the first derivative of b(z). What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99934 divided by 173\nAnswer: -99934\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 = -5*v - 3*k, 10*v + k + 858 = 6*v. Let a = v + 338. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/8)\/(16\/64)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3*y**3 + 87*t**2*y**2 + 155*t*y**3 - 2 wrt t?\nAnswer: 18*t*y**3 + 174*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20562 (base 7) to base 8\nAnswer: -11743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 60*q**2 - 484*q + 1644. Give d(-50).\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3*(-6)\/(-2). Let t = -8 - q. Which is smaller: -1\/3 or t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 2*d = -14, -2*d = f + 5. Let u(k) = 113*k**2 + 12*k - 52. Is 91 a factor of u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + 2*u**2 + 5*u + 2. Let j(i) = 9*i**3 - 5*i**2 - 11*i - 4. Let w(s) = 3*j(s) + 5*z(s). Find the second derivative of w(a) wrt a.\nAnswer: 12*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**2 + 1205345*z - 15668640 = 0.\nAnswer: 13, 241056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -1 (c) -16318 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248205063.\nAnswer: 3, 82735021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-3) - (7 + 0). Let j be (-2)\/3 + 80\/12. Sort -3\/2, 1, c, j in ascending order.\nAnswer: -3\/2, c, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*-21402336\nAnswer: -941702784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.12547596 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 18*i**2 - 41*i - 949. Calculate s(-16).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809579829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 21. Let m be (6\/5)\/(s\/80). Which is the third biggest value? (a) -4 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 178316*m*y + 1049162*m wrt y.\nAnswer: 178316*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, 3, 37, 105, 219, 391?\n\"Answer: 2*j**3 - j**2 + j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from lololllollllllolll?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*w - 58*w - 731 = -104*w - 5899 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 9*m - 107*m**2.\nAnswer: -107*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -16. Suppose y = 5*z - 13. Factor -5*b**2 + 2*b**3 + z*b**2 - b**3.\nAnswer: b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/55 + 48\/10 + 27. Calculate the greatest common divisor of 1000 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2175\/290*(-2)\/(-60).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 11*p**2 - 10*p + 10. Let u be s(-10). Suppose -3*i + u = -5. Suppose k - 2*m = 8 + 9, -m = k - i. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:29 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2) + (-6)\/(-6). Let l(v) = 3*v**2 - 3*v + 1. Let f(b) = -2*b**2 + 2*b. Let a(z) = s*l(z) + 4*f(z). What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17001 (base 11) to base 16.\nAnswer: -5d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*n**3*q**2 + 4*n**2*q**2 - 9*n**2 - q**2 wrt n.\nAnswer: -1320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(600)\/(sqrt(108)\/sqrt(9)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*w + 15, 2*w + 0 + 4 = 4*f. Suppose 4 = 2*g - 2*l, f*g + 3 = 5*g - 3*l. Solve 4*m - g*j = -26, -j + 6*j = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) + sqrt(2187) + sqrt(2187) + 5 + 1 + sqrt(2187) - sqrt(2187)) + -1)**2.\nAnswer: 810*sqrt(3) + 19708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380515.\nAnswer: 3, 5, 151, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1545, 1549, 1565, 1599, 1657?\n\"Answer: m**3 - 3*m + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -34. Let x = h - -16. Is (52\/(-6))\/(6\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10506227, 0, -10 in descending order.\nAnswer: 10506227, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/5 - 984*n\/5 - 2988\/5.\nAnswer: 4*(n - 249)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85, 76, 55, 16, -47, -140, -269?\n\"Answer: -v**3 - 2*v + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1233 + 909. Are -324 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 3617\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/32 and -43\/26784.\nAnswer: 26784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 646 + (-1 + (-14)\/(-18))\/(160\/1440). What is the greatest common factor of x and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 6087*n**4 - 5758*n**4 + 39 wrt n?\nAnswer: 1316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 183 = -95*k + 98*k + 5*o - 13, -280 = -8*k - 5*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 12 + 5 + -10 + -42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 224948861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*p**5 - 264*p**2.\nAnswer: 12780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3240 and 1645275?\nAnswer: 355379400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 4. Let z be f(6). Suppose z*l - 81 = -3*l + 2*q, -q = l - 19. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254953503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*h - 4, -4*d + 2 = -5*h + 4*h. Let c be 2\/3*(-4 + 22). Let k = c + -8. Solve s - h*l + 1 = 0, l - k + 0 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 126 + 104 = 0. Let r(a) = -a**2 - 4*a - 11. Give r(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 88?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 - 11*s**2 + 6*s**2 - 295 + 3*s**2 - 561*s + 5*s**2 = 0. What is s?\nAnswer: -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/13 + 1474950\/195 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*c - 113 = -93, 4*c + 68 = -4*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3))\/(-3*8\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12637518?\nAnswer: 2, 3, 359, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(17))**2 + sqrt(17) + 3 + (sqrt(17) + 1)**2.\nAnswer: 7*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -554, -43, -5, -4, -1205 in decreasing order.\nAnswer: 1, -4, -5, -43, -554, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15312 = 8699*w - 9163*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 1, 317 in decreasing order.\nAnswer: 317, 144, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -32. Suppose c - 6 = 2*y - 9, 4*c + 6 = n*y. Solve 0*p + p = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)*m**(-2\/57))**(-2)\/((m**(1\/3))**(-25)*m**6*m**7*m) assuming m is positive.\nAnswer: m**(-81\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47972123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5444*b**3 - 5*b**2 - 5444*b**3 - 5*b - 2*b**4 + 12*b - 21 to x*b + n + z*b**4 + u*b**2 + o*b**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6603270 is divided by 1370?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 264. What is b(42)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k + 3*k)*(-20203*k - 16208*k + 11557*k).\nAnswer: -49708*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + -2476?\nAnswer: -2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + r - 3. Let q = 8 - 4. Let v(x) = 3*x**2 + 3. Let w(l) = q*j(l) + 3*v(l). Suppose -5*o - 18 = 2*g, 0 = -3*o - 2*g - 20 + 10. Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 655*a**2 + 4361*a + 4520. What is the first derivative of l(m) wrt m?\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 12) to base 3\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014611\/2 less than 1007305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)\/(p\/p**(-8)*p))\/((p**(1\/6)*p)\/p*p**(-1\/7)) assuming p is positive.\nAnswer: p**(-1235\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*j - 3184, -3*j = 4*d + 855 - 3246. What are the prime factors of j?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-30)*(-45)\/48\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.161.\nAnswer: -2.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23528860*m**3*q**2 - m**3*q - 2*m**2*q + 148*m**2 - m*q - 13336*q wrt q?\nAnswer: 47057720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 20. Solve 15 = 29*h - y*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319467.8mm to meters.\nAnswer: 319.4678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 13*v**2 + 8*v - 9. Let r be g(-12). Let x = 1 - 4. Let c be (-26)\/4*(x + 1). Calculate the greatest common factor of r and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 19*r + 150, -r - 2013 + 2030 = 2*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000445 to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-130)\/(-4))\/(3\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytllyzly. Give prob of picking 1 z and 1 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 8000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.5, 1\/4, -2 in ascending order.\nAnswer: -2, 1\/4, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -625?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 3, k: 1, w: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0 + 0)*(249 + -82). Round r to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3616, 7364, 11092, 14800, 18488, 22156, 25804?\n\"Answer: -10*j**2 + 3778*j - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45901649 divided by -130033\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + p + 2. Let z = -24 - -24. Calculate the least common multiple of n(z) and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 4, 7, 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -34. Let x be (-3)\/(27\/(-6))*q. Suppose 3*j - x*j = 51. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + 1402?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - (-1 + 7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 22. Calculate the smallest common multiple of i(14) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.37624 meters?\nAnswer: 7376.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z - 21. Give t(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**4 - 2295*o**2*x - 6496*x wrt o.\nAnswer: 24*o**3 - 4590*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -47. Let w = i + -7. Suppose 2*o = -5*z + w, -5*z + 2*o = 2 - 6. Solve -z*g - 12 = -0*g - t, -g + 3 = 4*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/18*(-7)\/((-84)\/(-8)). Let i(k) be the third derivative of 11*k**4\/12 + k**2. What are the prime factors of i(s)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 34 - 40. Suppose 2*b - 4*d = 171 + 203, -z*d = 4*b - 803. What are the prime factors of b?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {m: 2, s: 1, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21465808 is divided by 5531?\nAnswer: 5528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 8\/19, 0.034?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = u - 4, 0 = -12*w + 10*w + u - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + ((13 - 15) + 42 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*w + 287, 3*w + 2*j = -j + 204. Suppose 0 = -w*n + 74*n - 6. Solve -n = -4*r + 2*a, 2*r - 17 = 5*a - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -300*r**2 - 9306*r + 112. Give o(-31).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 7*z**2 + 3*z - 3. Let x be (-24)\/(-36) + (-58)\/(-3). Let w be (-54)\/(-30)*x\/6. Does 33 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -540 from 4291.\nAnswer: 4831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + 7 - (3 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - 1*(sqrt(63) + sqrt(63) + sqrt(1008))**2) + (sqrt(7) + sqrt(63)*-1)**2 + -1.\nAnswer: -2241 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592277*s + 296151*s + 296133*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 17.5. Which is the biggest value? (a) 5 (b) y (c) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(171) - (sqrt(171)*-1 - sqrt(171))))*1)**2 - (sqrt(475) + (sqrt(475) - (-1*(sqrt(475) + 1) - sqrt(475)))**2).\nAnswer: -3060 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3506202440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41515406 (base 7) to base 11\nAnswer: -1a80807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -226. Which is smaller: n or -48\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3979?\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 6*i - 8*i - 11*i + 4*i - 5*i + (0*i - 4*i + 2*i)*(-1 - 2 + 1))*(1 + 1 + 3).\nAnswer: -110*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294810 is divided by 293217.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -639*t**2 + t. Let s(p) be the second derivative of -p**3\/3 + 2215*p. Determine s(q(r)).\nAnswer: 1278*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 + 94*z**2 + 91*z + 31. Is f(-22) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -18. Suppose -3*c - j = 0, 3*b - 13 = 4*c - 3*c. Suppose b = -17*m + 18*m. Solve 0 = 5*s, s - 2 = l + m*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17445 - 17455. Which is the second biggest value? (a) -32 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 44 - 732 = 0. What is the remainder when o is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) 1\/4 (c) 0.03 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369948 is divided by 123308?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3863919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = -4*v + 996, 4*v - 1020 = -2*o. What are the prime factors of v?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3 - t**3 - 13*t**4 - 6 - 245*t**2 - 47*t**4 + 6 wrt t?\nAnswer: -1440*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5355.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.354*29\nAnswer: 39.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -460876, -921755, -1382634, -1843513, -2304392?\n\"Answer: -460879*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**33)**(1\/19)*((d*d**(-1))**16)**43 assuming d is positive.\nAnswer: d**(-33\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41280574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -89 + 36 + -9.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*w + 70, -6 = x + 5*w - 46. Suppose -9*f + x = -6*f. Solve 5*m + 4*k - 5*k = 5, 4*m - k = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 790*d + 22696. Give g(-29).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/25 + -2 + 23\/230?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w**2 + 11*w + 4. Let f be 15\/(-2)*4\/6. Let z(r) = 6*r**2 + 5*r + 2. Let n(d) = f*z(d) + 3*i(d). Is n(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (13 + -4 - -7 - 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 106.175.\nAnswer: 31.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = 4*f - 156 + 30, 0 = 5*j + 208*f - 206*f - 51 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 7 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1892128 and 25760?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -k - 1, -4*k - 12 = -0*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 29 - 11 = 0. Suppose -5*b - f*b = 0. Let h = 3 + -2.8. What is the closest to b in h, -1\/4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376.201 rounded to 0 dps?\nAnswer: -1376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/1001)\/(12\/(-572))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1524 + 792 - 7*t + 618 - 2*t - 2*t**2 as y + f*t + l*t**2 and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-33))\/(40\/30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360679\/24 - 15031. What is the common denominator of y and 56\/3315?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*z + 10 = 0, -2*z - 2*z = 2*w. Calculate the remainder when 18 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 24*k = 63*k - 30856. What is the remainder when k is divided by 271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = -5*s, -3*y = -2*y - s - 1. Suppose -y*x = -6*x + 9. Suppose x*p - 321 = 4*o, -o - 106 = 3*p - 4*p. What is p rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k - 12. Let q be u(-6). Suppose -6 = -3*t - q. Solve -3*a - 23 = 5*y - t, 10 = -5*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*-3*(-4)\/(-24). Solve g = -2*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240 or -2\/7?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -1 + 1 - (-19 + -144 - -151)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - z - 7, 11 = -5*h - 0*h + 4*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 84 = -v. Suppose 9*d - 60 - 21 = 0. Suppose -d - 45 = -9*h. Solve -h + v = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 131056552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -94*g - 2. Let c(d) = -7*d. Calculate c(f(q)).\nAnswer: 658*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.2687ml in litres?\nAnswer: 0.0782687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 divided by 3?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -1. Let n be (-2)\/(((-20)\/o)\/5). Let u be (11\/(-2) + n)*-2. Solve -7*i + u = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/18)\/(2 - 1). Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14872*p + 14929*p - 29805*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d + 1. Let q be c(-9). Which is greater: q or 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110\/9 = -0.588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 17*d + 3. Let c(h) = h**2 - 16*h - 5. Calculate 4*c(y) + 3*r(y).\nAnswer: -2*y**2 - 13*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/14 + 195\/35. Solve 2*a - c*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**3 - 274*p**2 - 93*p + 68. What is a(46)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i - 6. Let x be o(-4). Suppose 5 = w + x. Suppose 4*p + 125 = 5*m, w*m - p + 3 = 78. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 36*z - 78. Suppose -103*u + 106*u = 12. What is the remainder when 197 is divided by n(u)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 101432 = 2*b + 101445, -d + 3*b = 5*b + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7910)\/21)\/((-6)\/108). Calculate the greatest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8897 + -44487\/5. What is the nearest to 19 in -17, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1680)\/(-354) - (2 - -1). Let u = m + -5321\/885. Calculate the common denominator of u and 38\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30265.40126 + 30303.62. Let o = a + 0.09126. Let s = -1.09 - o. Round s to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-504)\/(-12)*(-6)\/(-40) and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(22977\/(-148))*45.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 5. Calculate the highest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 5*z**2 - 2*z + 7. Let n(u) = -4*u**3 + 9*u**2 + 2*u - 14. Let k(h) = 5*l(h) + 3*n(h). Let f be k(-2). Solve 0*x - f = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 68*y**2 + 85*y - 1103. What is o(69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4356\/3146)\/((-21)\/1456*8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990787.\nAnswer: 3, 31, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -32. Let m be (p\/2)\/(11\/(-4906)). Suppose m = 2*n + 3*z - 13, -2*z = -4*n + 1364. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l + 15. Let f be o(-9). Let r = 5 + f. Solve 0*b = -2*b + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 64 = -0*f. Let z = -3178 - -3251. Let r = z - f. Solve p + 3*p = b + 11, r = p + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + -0.58. Let n = z + 0.49865. Round n to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 14) to base 6\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -14. Let i be 2948\/28 - (-2)\/a. Suppose -q - i = -4*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 22*q - 18. Let b be r(-10). Solve -5*i - 3*k = -20, 0 = 6*k - b*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249 - 346*i**2 + 2*i**3 - 3*i**4 + 200*i**2 + 189*i**2 - 246 to the form z + d*i + l*i**3 + a*i**2 + j*i**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*g - 1188 + 4884 = 0 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -2097 (c) 3.041 (d) -2\/9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133)\/76*(-4)\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 (base 5) in base 3?\nAnswer: -21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u - 556 = -525. Let k(t) = -t**2 + 1. Let r(c) = -2*c**3 - 6*c**2 - 3*c + 6. Give u*r(x) + 6*k(x).\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0 + 0*o - 31\/6*o**3 + 13*o**2 - 1\/12*o**4. Let n be l(-17). Solve n*z - 11 = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1040 and -13\/12?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001845566 to five decimal places.\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 446830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2504 divided by 313.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -234324 (b) 0.4 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 10, -0.4, -2\/11, 0.0823?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.6 - 21. Let k = 13707\/95851 + -2\/13693. What is the biggest value in c, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 31311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**15)\/q**(1\/3)*((q\/(q\/(q\/(q*q**(-11)*q)))*q*q)\/q*q)**(5\/6) assuming q is positive.\nAnswer: q**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = i - 693 + 701, -3 - 15 = 3*k + 3*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 3*k + 5*k + 24 - 49 - 7*k. Determine p(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 109*m**2 - 229*m - 1598. Calculate n(-107).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 401*h + 22050 = 0. What is h?\nAnswer: -49, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -865*l**3 + 463?\nAnswer: -2595*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/42*-6 + 162\/14. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658941, 658940, 658939, 658938, 658937?\nAnswer: 658936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l. Let f = l - 0. Suppose 0*m = m - 4*k - 18, f = -m - 3*k + 4. Calculate the smallest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 235*v + 1538. Is 198 a factor of w(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1464, 3 in descending order.\nAnswer: 3, -3, -4, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**3 - 19*y**2 - 2. Let c(j) = 2*j**3 + j**2 - 1. What is -4*c(a) + w(a)?\nAnswer: -3*a**3 - 23*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 19 - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 265?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a (base 16) to base 3.\nAnswer: -201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34.2 and -0.601223?\nAnswer: 34.801223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13850092.\nAnswer: 2, 3462523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -513 - -522. Let p be q\/5 - 11\/(-55). Solve 0 - 5\/2*l - 5\/2*l**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 0*s**2 - 2 + 2 to q*s + y + c*s**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 568*g - 27754. Determine p(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37499?\nAnswer: 7, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 128 = -5*z. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22238 + 22237. Which is the closest to 4? (a) q (b) 2.6 (c) 6\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-7) - 2*3\/21. Let w(h) = -2*h + 10. Calculate w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 2, k: 2, n: 6, g: 1}. What is prob of picking 1 i, 1 p, and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/20)\/((-21)\/259) and -3 + 3\/(-2) + (-15)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/32 - 57\/(-12). Suppose 3*u = -3*o + 114, -m = -u - 1. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(25)\/sqrt(5) + sqrt(5)*3*-2.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 2 x when four letters picked without replacement from {u: 3, i: 1, e: 2, x: 3, k: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/7 - 2\/2. Suppose 0 = 4*z - 2*y + 2, m*z - 5*y = -2*y - 11. Let u = -7 - -7.3. Which is the smallest value? (a) z (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**3 - 3*o**2 - 3. Let r(u) = 2*u**3 - u**2 + 1. Let j(p) = -d(p) - 3*r(p). Let a = 193 + -198. Let x(y) = -5*y**2. Determine a*j(z) - 6*x(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6472 (base 8) in base 12?\nAnswer: 1b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + ((-204)\/15)\/4. Let q = 0.5 - 0.51. What is the biggest value in n, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 43138 and 43142 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 14582*k - 14578*k - 14, 0 = 5*q + 5*k - 40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628997*q**3 - 15971 - 628864*q**3 + 15971.\nAnswer: 133*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 - 40*z**2 + 41*z - 19. What is the first derivative of i(l) wrt l?\nAnswer: 2*l - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*6*(-6)\/(-6). Let q = -2 - a. Let u = -1 + q. Solve -u*y - y = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137, 270, 403, 536?\n\"Answer: 133*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -868 + 2312. Calculate the highest common factor of 228 and u.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {w: 9, j: 8, k: 2}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348646972?\nAnswer: 2, 23, 164767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156109.6275712 - 1066245.3724336. Let g = 1222356 + z. Let w = -1 + g. Round w to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63494086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20386*x**2 + 39123*x**2 - 14700*x**2 to the form d*x + f + l*x**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(144)\/sqrt(4))\/sqrt(12) + -1*sqrt(243) + 4)*3 + 5 + 4.\nAnswer: -24*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 2*l - 11 = 5*d, 2*l - h*d = -l + 4. Let k = l - -13. What is the greatest common divisor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 277, 606, 1067, 1660?\n\"Answer: 66*b**2 - b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(33)\/sqrt(3)) - (-3*sqrt(66))\/sqrt(6).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 6*1 - (-2 - 4\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 7. Determine t(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -47. Let r be 12\/j + 13\/(-28). Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/70*20\/(-6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/142 and -129\/490.\nAnswer: 34790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165, 2343, 3531, 4735, 5961, 7215, 8503, 9831?\nAnswer: 11205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2213, -2212, -2209, -2204, -2197, -2188, -2177?\n\"Answer: b**2 - 2*b - 2212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 173865 and 312957.\nAnswer: 1564785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let y = -0.3036 - -0.8036. Let a(d) = -5*d. Let p be a(-1). What is the biggest value in c, p, -1\/5, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 243 = 4*s + 233, -19 = -3*s + 2*n. Solve -s*f = -11 + 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 183*d**2 - d - 2226. Let q(k) = -367*k**2 + 3*k + 4455. Let a(b) = 2*q(b) + 5*x(b). Find the second derivative of a(z) wrt z.\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + da99?\nAnswer: da94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9692 or -0.0649?\nAnswer: -0.0649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 and (-384)\/(-132) + -4 + 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1744\/2 + 2 + 0\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1505 or 3913?\nAnswer: 3913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4441971361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -23. Calculate the highest common factor of 72 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - r**2 + 20 - 17 - 4*r**2.\nAnswer: -5*r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 47.\nAnswer: -13\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116965 and -1?\nAnswer: 116965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154096 times -3.071?\nAnswer: -473228.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 - 452*o**4 + 2936*o**3 + 3392*o**2 = 0.\nAnswer: -1, 0, 8, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 3*f + 8. Let z(u) be the first derivative of u**4\/4 + u**2 - 4*u - 5. Let h(y) = -3*i(y) - 5*z(y). Let c be (-1)\/3 - (-1)\/3. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-1))**(-3\/20)*((x*x\/x**(-1\/2))\/x*x)**(-2\/15))\/((x\/(x\/x**(-4)))\/x**(-1\/7))**(6\/5) assuming x is positive.\nAnswer: x**(323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*a**3 - 397*a wrt a?\nAnswer: -1632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*o = 596, 0*s + 3*o = -3*s - 354. What is the common denominator of (-5 - 858\/s) + -4 + 5 and -97\/184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(-391)\/(-68)*1\/2. Solve -13*z + t = -29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 2131, 4790, 8511, 13294, 19139, 26046?\nAnswer: 34015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 37 = 13. What is the common denominator of (102\/15)\/((-12)\/k) and 53\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 231, 268?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1761 - -1832. Calculate the remainder when 162 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 13}. Give prob of picking 3 c and 1 j.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 12*i**2 - 15*i + 24. Let q be y(5). Which is the nearest to q? (a) -1\/5 (b) -5 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7378 is divided by 615?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -5 - (-242)\/4)\/((-40)\/(-3280)). What is the greatest common divisor of 1476 and k?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by (-5)\/10 - (-9)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.25 (b) -5 (c) 3\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-1716)\/(-188)) - 25\/15?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*u = 21, -p + 21 = 4*u + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -164*v**2. Let m(u) = u**2 - u - 2. Let s = 18 + -14. Let f(w) = -3*w**2 + 4*w + 8. Let c(g) = s*m(g) + f(g). Calculate c(j(p)).\nAnswer: 26896*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5368 = -23*b + 4586 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and -2?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -2)\/(-1 - 5\/(-3)). Let d(t) = -t**3 - 9*t**2 + t + 11. Let w be d(a). Suppose -w*k + 383 - 129 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = 5*o + 317, 0 = 2*o + 4*t + 138. Let n = 87 + o. Let r = 90 - -92. Calculate the highest common divisor of r and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*d + 4*n - 2*n, -n + 2 = 0. Let p(a) = a**3 + 5*a**2 - 7*a - 6. Let h be p(-6). Suppose 5 = -3*q + 4*q. Solve h*y = -q*y - d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 4, 2761 in descending order.\nAnswer: 2761, 5, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = i - 3550, 4229 + 213 = 5*g - i. What is the smallest common multiple of 888 and g?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66549 is divided by 686.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 97.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3 + 3)\/(2\/(-150)). Let k = j - -683. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - l - l + 9 - 3 + l**3. Let r be a(3). Suppose 12 = d + 5*p - r, 0 = -2*d + 3*p + 63. What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87719*3.\nAnswer: 263157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, 1803, 2718, 3633?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + 1 + sqrt(343) + sqrt(343) + 0 + 4*sqrt(343)*-4)*4 + -3)*1)**2.\nAnswer: -728*sqrt(7) + 927473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17\/z*z**(21\/5)\/z*(z\/(z**(-3\/8)\/z))\/z*z\/z**26*z assuming z is positive.\nAnswer: z**(-137\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose -5 = f*c - 14. Suppose -3*d + 3*j + 15 = 0, c*d + 0*j - 2*j = 13. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*2*-1) - (4*1*-2*sqrt(19))**2.\nAnswer: -1216 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 2*z - z + 6*z - 3*z + (-1 + 1 - 2*z)*(-2 + 2 - 2) + 1 - 1 - z - 2*z + 0*z - 10*z)*(4*z - 2*z + 3*z + (-2 + 5 - 1)*(z + 2 - 2)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-15))\/(((-630)\/75)\/21). Solve 0 = v*k + 2*z + 10 - 6, 2*z - 14 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, -6151, 22\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104923?\nAnswer: 19, 163417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 144 - 19*b**2 + 267.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3 + 15 - 1887*u**2 + 3*u + 7. Let l be n(12). Let q = -462673 - l. What is q rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and 29454?\nAnswer: 70689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10) + -1 - 119\/(-4620)*-11. Which is the second biggest value? (a) -5 (b) -48 (c) 4\/5 (d) n (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x + 4*m - 57, 2*m - 55 = -x. What is the derivative of 48 + x - 231 - 18*d wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3600*-3\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - -1 - (-7 - (-3 - 19)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - 2*j)*(j + j + 0*j) + 176*j - 176*j + 36*j**2 + (j**2 + 0 + 0)*(-1 + 4 + 0).\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.4, 0.02, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310 is divided by 755.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l = 64*l + 61*l - 2813985. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13869 divided by -2568.\nAnswer: 4623\/856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + w)*(-1 + 1 - 2 - 2 + 5 - 2 + (2 + 4 - 4)*(-2 + 1 + 0) + 2 - 1 - 2 - 5 + 4 + 0 + 1 - 2 + 0 + 511 + 1671 + 28 + 412).\nAnswer: -5232*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:42 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-11))\/(4\/(-88)) + -7. Solve -97*f + 8 = -93*f - 4*x, 4*f = t*x + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + 428c?\nAnswer: 42ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 2908 = 41*y. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 60. Suppose -3*g = -t*g - 15. Let y = -0.05 - -2.05. Which is the smallest value? (a) 4 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 39. Suppose 3*d + 4*k - 80 = 0, g = -4*d + 2*k + 148 - 34. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 139211?\nAnswer: 139209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c**4 + 3*c + c**3 + 0 - 17*c**4 - 2 + 5*c**2 as v*c**2 + z*c**4 + g + u*c**3 + q*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 136, 174, 206, 232, 252, 266, 274?\n\"Answer: -3*p**2 + 47*p + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/2, -1, -5\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -37. What are the prime factors of w\/(-1) - 348\/((-18)\/9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 50202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1842\/(-27)) + (80\/168)\/((-705)\/329).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 136 = 496. Calculate the common denominator of g and 93\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 m when three letters picked without replacement from {w: 2, m: 2, g: 1, b: 1, t: 1, x: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 385 = 3*k, k + 2*g = 125. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1 - -5 - (1 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (1 - 21*-1). Let k = 13 + v. Does 21 divide (-218)\/k + 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*d - 10, -4*d + g + 8 = -3*d. What is the third smallest value in d, -0.03, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 - -249. Let v be (-4)\/10*(-15)\/b. Let k = -0.2 + 0.3. What is the nearest to k in 5\/2, v, -5\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-30462336\nAnswer: 30462336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1512*i**2*k*l + 16*i**2 + 7*i*k*l + k*l - 52*l - 2322 with respect to i.\nAnswer: 3024*i*k*l + 32*i + 7*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 34541.\nAnswer: 10362.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 - 1?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 187.931?\nAnswer: -187.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l + 11. What is the units digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 + 6*w + 9. Let j be g(-7). Suppose 5*a - x - j = -3*x, x = -4*a + 14. Solve -6 = 5*v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**4 - 28*t**4 + t**4)*(11*t - 14*t - 11*t)*(2 + 0 - 3).\nAnswer: -518*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 69393.02372 to the nearest 100.\nAnswer: 69400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 103 + 196 = 0. What is the smallest common multiple of 1 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*w**2 + 18*w**2 + 44*w**3 + 45*w**2 wrt w.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309095 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-70) + 20598\/14. Let r = v + 3690. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3764?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 - 20033110?\nAnswer: -20100301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(252))*6.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52\/3 + -295\/6. Let y = 63 + c. Find the common denominator of y and -21\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28)\/(k\/k**(-2\/3)))\/(k**(-1\/8)*k*k**(-13)*k) assuming k is positive.\nAnswer: k**(-445\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224685.31 + 221307. Let t = d + 3397. Let s = t - 17.4. What is s rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 4*y)*(22 + 49 - 9 + 152).\nAnswer: -642*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsfm when four letters picked without replacement from {m: 2, f: 3, p: 2, s: 6}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6045 and -28\/354237.\nAnswer: 1771185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = 12*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2832*s + 62311. Calculate f(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 4*x**2 - 87*x + 7. Let q(s) = s**3 - s + 1. Determine -m(g) + 5*q(g).\nAnswer: g**3 + 4*g**2 + 82*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvnynnwnn. What is prob of sequence wy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1148527 plus 0.037029303?\nAnswer: -0.077823397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409 + -433. Is 58 a factor of 40\/(6 + 138\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 - 160. Let g(x) = 2*x**3 + 4*x**2 + x - 2. Let i be g(-2). Let a = c - i. What is the nearest to 1\/4 in -0.4, -3, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 7*m - 13*m + 34*m - 12*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-2 + (-2 + sqrt(32))**2 + (0 + sqrt(288))**2*4.\nAnswer: -26*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790071460 to the power of 1\/3, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 1948544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.913906 kilometers?\nAnswer: 291390.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -19, -112, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 100, 424, 0.\nAnswer: 0, 1, 14, 100, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose -2*r = -5*r - j, -d*j = 0. Is r + (1 - -79) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/(34\/(-12)) + -1 + 3731. What is the greatest common divisor of 98 and y?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*((-17248)\/(-396))\/(-49).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 4*j - 16. Let b be s(5). Suppose 11*x = b*x - 12. What is the lowest common multiple of x and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87539841 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.2 + -1.8. Let u = -7.000000071 - d. What is u rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 56, -9 in ascending order.\nAnswer: -9, 0, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2838 and -58\/19195.\nAnswer: 4952310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 + 30*x - 247. What is w(7)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.056 + 0.556. Let x be (-2)\/(-4)*4\/(-11). Sort x, -2\/9, g in decreasing order.\nAnswer: g, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(6*3*sqrt(7)) + 0 + (sqrt(11) - (sqrt(1584) + 2 + sqrt(1584) + sqrt(1584) - sqrt(1584))**2).\nAnswer: -6340 - 1709*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crt when three letters picked without replacement from {c: 1, e: 1, r: 3, t: 7}?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4090)\/3272 + 25\/12 + 14\/12. Find d, given that 6\/7*d + 4\/7*d**k - 2\/7*d**3 + 0 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-279)\/(-45) - 1\/5. Let v(i) = p + 3*i - 4*i - 3*i + 3*i. Give v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -11*l**5\/120 - 5*l**4\/6 - 5*l**3\/3 - 28. Let o(z) be the third derivative of q(z). Differentiate o(h) wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-9) + (-2)\/6. Let o be (2084\/4689)\/(4\/(-27)*(-1)\/2). Solve -d + n - o = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1*c*c)**(-11\/3)*c*c**(2\/3)\/c*c*(c*(c\/(c\/(c\/c**(-1\/10))))\/c)\/c*(c**(2\/25)\/(c**(-1)*c))**(-3\/40) assuming c is positive.\nAnswer: c**(-6453\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 59.9. Let p = 3 - h. What is the nearest to -1 in 2, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and -71.\nAnswer: -156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18)*1\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 41196*u + 164848 = 0. What is u?\nAnswer: -10303, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19*c - 14. Let o be x(-1). Suppose -o*b - 6*b + 33 = 0. Solve -4*h - b + 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u**(-1\/8)))\/(u*u\/u**(-1\/3))*(u*u**(-3\/17))\/((u*(u\/(u**(-11\/4)\/u))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-2503\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(0*z + 0*z - 2*z)*(-16 - 31 + 10) - 3 + 3 + 4*z in the form q + h*z and give h.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/1 + -3 - -7. Let s(m) = -3*m**2 - 28*m - m**3 - m**2 + x*m + 2*m**2 + 5*m**2 + 2. Let t(q) = -2*q**3 + 8*q**2 - 8*q + 5. Give -8*s(a) + 3*t(a).\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 1. Let z be h(-1). Let b = 5 - z. Suppose b*t - 2*u = -4, u + 0*u - 2 = 5*t. Solve t*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f**3 - 4683*f**2 - 2806*f - 1012246469 wrt f.\nAnswer: -33*f**2 - 9366*f - 2806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1184 - 603. Suppose 3*s = -2*r + f, 2*r - 462 = -4*s + 114. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*f**5 + 744977*f**4 + 352477809*f wrt f.\nAnswer: 4060*f**3 + 8939724*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 3. Calculate the smallest common multiple of (-2)\/(-4)*(-8)\/4*-1 and w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) -0.071182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 150\/(-80)*((-7 - -1) + (-236)\/(-40)). Let c(u) be the first derivative of j*u**4 + 6 + 0*u - 1\/4*u**3 - 3\/4*u**2. Let c(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 10*b**2 + 6*b + 5. List the prime factors of v(-4).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 210?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**2 + 29*a. Let i(l) = -5*l**2 - 10*l. Let p(s) = s**2. Let x(j) = -i(j) - 2*p(j). Let h(r) = 4*o(r) - 11*x(r). Factor h(n).\nAnswer: -n*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/13))**(-49)*(o\/((o**(4\/3)\/o)\/o)*o)\/o*o\/(o**(-26)\/o)*o assuming o is positive.\nAnswer: o**(755\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 45, 67, 87?\n\"Answer: -z**2 + 27*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3\/4, 0.4, 9, -0.21, -0.252?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o - 2. Let l be m(-4). Suppose -28 = -5*h + 2*x + 85, -2*h - 4*x + l = 0. Suppose k - h = 21. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) - (-4 + sqrt(5)*1)**2) + sqrt(5)*-2 + 4 + (-2*sqrt(25))\/sqrt(5) + sqrt(5).\nAnswer: -38 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/3 + 2646409*o**3 - 7003483241688*o**2 + 6178038699840290496*o - 18534053068243149312.\nAnswer: -(o - 2646408)**3*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/7, 3378 in ascending order.\nAnswer: -5, -4\/7, 3378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999.5407626 plus -0.2?\nAnswer: 1999.3407626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39063 is divided by 12970?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 - 96614*p - 2333566249 = 0. Calculate p.\nAnswer: -48307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08594843 to three dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15935736 and -27\/344.\nAnswer: 685236648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 5*b - 45*d + 42*d, -d + 242 = 3*b. Solve -4*c - b = -100 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6145077?\nAnswer: 3, 2048359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2275877542 to the nearest integer?\nAnswer: 47706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -101*g + 26*g + 23*g + 30*g + 24*g. Let f(m) = m + 605. Give u(f(j)).\nAnswer: 2*j + 1210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23337223.\nAnswer: 7, 13, 317, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 56254677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {f: 6, m: 2, l: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 - 101?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/60 + 2*u**5\/5 + 4*u**4 + 64*u**3\/3 - 2*u**2. Factor o(w).\nAnswer: 2*(w + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2560, -5124, -7694, -10270, -12852, -15440?\nAnswer: -18034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 - 1.03. What is the nearest to 4\/3 in 2\/9, m, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Suppose -9 - y = -3*c. Suppose c*b = -0*b + 136. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 734 + 2186?\nAnswer: 290a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 8. Let v be u(6). Suppose -2*n + v*g + 16 = 0, -n + 3*g - 4 = 5*g. Find the first derivative of 2 - 6*b**n + 0 + 2*b**2 - 1 wrt b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 6*y - 2*y + 2*y + 0*y + 2.\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/28 - 236592\/(-14). What is g rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18581.1603 + -18569.6. What is i rounded to 1 dp?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*142\/781.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*i + 165*i - 420 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12966)\/21)\/(-13 - (-90)\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010327 and 824.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3\/5 (c) 2\/13451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x**3\/5 + 3*x**2 + x\/5 = 0. What is x?\nAnswer: -1\/16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17287 - 18189 = -82*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871211 (base 9) to base 2.\nAnswer: 1111110110000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/26264 and -97\/39108972.\nAnswer: 547525608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*m - 2*c - 25, 4*m - 85 = 3*c. Let k = m - 13. Let w be 0 - 0 - (-3)\/1. Solve 31 = x + 5*d + k, -5*x - w*d = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 3*5\/(-30) - ((-837)\/18 + 0).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.1, -5\/14, 1.9.\nAnswer: -5\/14, -0.1, 2\/15, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12598 - 13734 = 71*f. Let b(c) = 11*c + 189. Calculate b(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15894150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 8*m + 88. Suppose -3*p + 4*z = -m, -26 - 30 = -4*p + 4*z. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l**3 - 4*l**2 + 4*l + 10. Give c(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 7b8cb?\nAnswer: 7b8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 13, 0.4, -1\/3, 4.91?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 9. Suppose -5*t - a = 2*x, 3*t - 4*x - 3 = -0*x. What is the nearest to 1 in -1, t, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 6) + (-29 - -14) + -21 + 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-3)\/(-45)). Suppose 2*d = -5*c + 653, 3*c - y*d - 396 = -2*d. Let h = c - 92. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.45. Let p = 3.4 + s. Let j = 0.42 - 0.62. Which is the third biggest value? (a) -3\/4 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(-9)\/12. Suppose s - 12 - 3 = 0. Let x = 12 - s. What is the third biggest value in d, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2626 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -97*h + 1. Let b(c) = -99*c. Calculate w(b(u)).\nAnswer: 9603*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7.383450364\nAnswer: 0.383450364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*p + 466*l - 465*l, -2*l + 99 = -21*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -631, -946, -1261, -1576?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 75\/19?\nAnswer: 75\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0931 <= 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z - 14 - 83 = 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1271\/182 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2391 and 1.64.\nAnswer: -3921.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310 + -308. Suppose 1214 = -31*z + 33*z + 2*d, 0 = -z + h*d + 601. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n - 5. Let q(j) = 12*j - 8. Let c(d) = -d**3 + 7*d**2 - 6*d - 12. Let w be c(5). Give w*s(o) - 5*q(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.12 - -22. What is the second smallest value in 1, 3, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56876 + 56881. Let k = 16 + -19. Suppose h = 4*h + 3. Sort h, k, 2, c in decreasing order.\nAnswer: c, 2, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -6*h. Let i be -2 + h + -3 - -42. Suppose i - 2 = 3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270, 858, 1810, 3120, 4782?\n\"Answer: -k**3 + 188*k**2 + 31*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 43*i + 171. List the prime factors of y(-56).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 2, l: 7, t: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2652*d + 1903. Let z(w) = 655*w + 476. Let l(m) = 6*r(m) - 22*z(m). What is the first derivative of l(g) wrt g?\nAnswer: 1502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -4*c**5\/5 + 4*c**3\/3 + 9. Determine s so that z(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/60 - q**5\/15 + q**4\/8 - q**3\/6 - 3*q**2. What is the least common multiple of w(2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-65)\/(-117))\/(5\/6). Are -2\/43 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178*c**4 - 5*c**3 - c**2*g - 2022*g wrt c?\nAnswer: -712*c**3 - 15*c**2 - 2*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192122543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l**3 - l**2 - 134. Let p(x) = -x**3. Let o(t) = -g(t) + 3*p(t). Find the first derivative of o(u) wrt u.\nAnswer: 60*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (202\/1919*38)\/((-8)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -2902, -9706, -22920, -44680, -77122, -122382?\nAnswer: -182596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2*(-18)\/(-6). Suppose -t + 19 = -4*v, 5*v + 7*t + 8 = 3*t. Sort 4, v, w.\nAnswer: v, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*b**2 + 97*b**2 - 109*b**2.\nAnswer: -209*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12*a - 14*a + 38 = 0, 6 = 2*a. Solve 38*l - 34*l - o = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/8, 3\/7, -0.1, -0.3, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(1904\/672)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:15 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:46 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let p(w) = -2*w - 6. Let t be p(j). Let k be 4\/(-6) + (-44)\/(-3). Solve f - k = 4*i + 4*f, -4*i - t*f = 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34937\/11 - 3177. Which is the closest to -1? (a) 0.5 (b) -1 (c) -11 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 40*n + 25. Let l(u) = -5*u - 3. Let g be (45\/(-36))\/(1\/(-20)). Let d = -69 + 71. Suppose 2 = d*c - 2*b, -2*c = 3*b + 2*b - 16. Give c*p(h) + g*l(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*u + 6, 2*u + 14 = 2*z - 5*z. Let f = -84 + 81. Sort z, f, 5 in ascending order.\nAnswer: f, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/40 - g**5\/6 - g**4\/8 + 2*g**3 - 2*g**2 - 8. What is the smallest common multiple of 4 and q(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360222558 to the nearest integer?\nAnswer: 18980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8476*m**3*o - 7968*m**2*o wrt m.\nAnswer: -50856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 123523 and -0.2.\nAnswer: 123522.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 595 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-150)*(-3)\/6*-2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (424\/4)\/(-1). Let v = -40 - j. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/20 + w**4 - w**3\/3 + 27*w**2\/2 - 23*w. Let a be f(12). Solve 0 = -x + 2*j + 10, 0 = -a*x + 2*j - 0*j + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 721, 2823, 6337, 11275, 17649, 25471, 34753, 45507?\n\"Answer: 2*c**3 + 694*c**2 + 6*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.30747023 and 1.\nAnswer: 2.30747023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:05 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-1 + 1 + 1379*a**2 - 1132*a**2 + 2522*a**2).\nAnswer: -2769*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17061.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (10\/(-40) + 143\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 + 30)\/(-1))\/((-60)\/480). Calculate the greatest common divisor of 2581 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 20*c**2 + 9*c + 548. Determine r(0).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 38*a - 18. Give j(9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(3\/((-225)\/(-20)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from vxwwwxwvxw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -33. Let a = -0.351 - -0.551. What is the biggest value in a, 1\/3, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6486, -12976, -19466, -25956, -32446?\n\"Answer: -6490*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7464)\/(-14)*(-238)\/(-68)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.5 (c) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26dc (base 14) to base 6.\nAnswer: 51430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 449218\nAnswer: -224609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -63\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epgppeppiemegpgeeie. Give prob of picking 3 p.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10767 = 907*q - 34349 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*p - 2728 = 172*p + 179*p - 472*p for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 229*t + 793 - 116, 5*t + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:01 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/45*18\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose 0 = b - 66 + 197. Let d = 3011\/23 + b. Sort d, -4, k in decreasing order.\nAnswer: k, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**6)\/(d*d*d**(-2\/31))*(d\/((d**(-13)\/d)\/d))**(3\/32) assuming d is positive.\nAnswer: d**(-337\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-66) + (-1839)\/(-63) + -2. Let q = w + -185\/7. Let a be (1 + 4\/(-2))\/(-4). Sort 2\/5, -2, q, a in increasing order.\nAnswer: -2, a, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**2 - h**2 + 5*h**2 + (0*h + 3*h - 4*h)*(2 - 2 - h) + (-1 - h**2 + 1)*(-2 + 3 - 2).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 3*c - 3351. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b68 + -1c3c6?\nAnswer: -1b55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from jmimmih.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(19 - 2*w**4 - 19)*(2*w + 36*w - 16*w).\nAnswer: 88*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -990.7055527 take away -0.5?\nAnswer: -990.2055527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.016 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27671*n**3*o**2*u**3 - 3*n**3*o*u**2 + 2*n**3*u**3 - 967*n**2*o*u**2 - 4*n*u**3 + n wrt o.\nAnswer: 55342*n**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 28*r**2 + 46*r - 35. What is the units digit of m(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83850 and 1653990?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/12*(-8)\/140 + -2 + 2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-65)\/(-6) + (57 - 68)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 966 = -25*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 217.3 (b) -16 (c) 1.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 488, 479, 464, 443, 416?\n\"Answer: -3*o**2 + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (2 - 5) + 18722\/230 + -93.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 10) to base 6.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from vvvvvvvu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013577ml in litres?\nAnswer: 0.0000013577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111011101 (base 2) to base 11.\nAnswer: -3903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*-1*sqrt(25))\/(3*sqrt(25)\/(sqrt(25)\/sqrt(5))) + 0)**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/(-1) - (-7 + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6930.7 and -0.4.\nAnswer: -6931.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 120?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 59, 33 in increasing order.\nAnswer: 1, 33, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 9. Let v(f) = 8*f + 20. Let x(q) = -5*c(q) - 3*v(q). Let g = 15 - 24. Let j be x(g). Calculate the greatest common divisor of 84 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + 13*x - 12. Suppose 0 = 5*t - 25, -4*g + t - 9 = 24. Is q(g) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**3 + 8*h**2 - 5*h - 1. Let m(j) = -11*j**3 - 7*j**2 + 4*j + 1. Determine -5*m(r) - 4*y(r).\nAnswer: 15*r**3 + 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.675882nm in centimeters?\nAnswer: 0.0000005675882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = f - 16, f + 4*y + 33 = 4*f. Suppose -f*a - 34 = 239. Which is smaller: a or -38?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7480371 and 0.\nAnswer: 7480371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - d**2 + 21 - 80 + 2*d**2.\nAnswer: -5*d**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/((-2)\/42). Suppose 0 = -7*q + 37 + 12. Let c(r) = -10*r + q + 4*r - 6 + 7*r. Give c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 17?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316.0347 + 0.0347. Let x = k + 323.9. Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t**2 + 13445*t - 2690 = 0. Calculate t.\nAnswer: -538, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 0 + 1 - 30*b - 22*b.\nAnswer: -46*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3100, -24649, -83122, -196981, -384688, -664705?\n\"Answer: -3077*v**3 - 10*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d**2 - 35*d - 12. Let w(a) = 11*a**2 + 19*a + 5. Let s = -984 + 977. Let k(m) = s*w(m) - 4*q(m). Differentiate k(p) with respect to p.\nAnswer: 14*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536794253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/7560 + n**6\/1080 - n**5\/360 + 5*n**4\/12 + 5*n. Let g(f) be the third derivative of a(f). Find i such that g(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 1.44.\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539))*-2 + -6*(1 + -4 + sqrt(11)).\nAnswer: -20*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 8*j - 3*j**2 - 2*j**3 - 51 + 57. Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*i - 51*i - 5616. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159750 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164995 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -3*m + c*f = -5, 0 = -2*f - 2*f + 8. Suppose 7*r = m*r + 16. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -79.8.\nAnswer: 478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630865526?\nAnswer: 2, 315432763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmfmfffmfff. What is prob of picking 4 m?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**3*y + 2*x**3 + 17145*x**2*y + 12*x*y - 663262*x wrt y.\nAnswer: -x**3 + 17145*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 512797.0631 and -2.\nAnswer: 512795.0631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v**3 + 3*v**2 + 7*v - 2. Let h be c(-3). Let m = h - 510. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690541320.\nAnswer: 2, 5, 13, 67, 48523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24289691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**6\/9 + 2*g**5\/5 + g**4\/2 + 2*g**3\/9 + 8. Factor r(b).\nAnswer: 2*b**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -5\/2*u**2 - 3 + 0*u. Let k(c) = c. Give b(k(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -20 + 12*j**2 - 6563*j - 3*j**2 + 6491*j. What is the tens digit of b(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a factor of 51384564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**2 + 15871700*f - 3967924.\nAnswer: -4*(f - 991981)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let s be i(4). Suppose -37 + s = -2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquuqq. Give prob of picking 4 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -21960?\nAnswer: -21964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 + 322. Let s = p + -12. Suppose -2*h + 39 = -3*g, h + 6*g + 8 = 2*g. Calculate the greatest common divisor of h and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.1 - 93. Let f = r + 81. Let v = 13 - f. What is the nearest to 1\/2 in v, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 73 + 12*g**2 - 5*g - 6*g + 2*g - 107 - g. Is 17 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 56*s**2 - 140*s + 88.\nAnswer: -4*(s - 11)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/165*(-10)\/(-2). Let v(h) be the first derivative of w*h + 2 + 1\/2*h**4 - 4\/9*h**3 - h**2. What is k in v(k) = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) - 1254\/21. Let j = -27 - g. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -78. Let z = p - -32.57. Round z to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 + 9*z**2 + 9*z - 9. Let p(t) = -4 - 3 + 2*t**2 + 5 + 2*t + t**3. Give 9*p(c) - 2*v(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 39*k**3 + 2799*k**2 + 17535*k + 14700 = 0 for k.\nAnswer: -35, -5, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-4))\/1*38\/665*-14\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-110)*(-18)\/180?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, -713, -714, -715, -716, -717?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 + 17. Let t(v) = -v**3 + 6. Let x be 6\/4*(-782)\/(-69). Determine x*t(k) - 6*c(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 24*d**3 - 3*d**2 + d + 1. Is t(3) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 135 = 0. Let x = 45 - c. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265766 - 26097. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let d(a) = -a - 1008936. What is d(n(i))?\nAnswer: -i**2 - 1008936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**2 - 3*g + 2. Suppose 5*n + 25 = 0, -3 = 2*x + 5*n + 26. Let f(c) = -c**2. Let y(j) = x*d(j) - 14*f(j). What is o in y(o) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14\/617 - -516401\/1234. Let i = c - 401. Calculate the common denominator of (-8)\/36 - (-197)\/36 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Let x(q) = q - 8. Let t(l) = 4*c(l) + x(l). Let w(m) = m**2 - 4*m. Let y be w(2). What is the remainder when t(y) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 10*r + 9. Let f(i) = -i**2 - 9*i - 10. Suppose -21*j = -26*j + 15. Let d(y) = j*f(y) + 2*n(y). Determine d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11\/2573 (b) 4\/25 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 1216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*p - 8 = 0, -3*p = -197*v + 199*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499306*x - 499110*x + 2744 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/75*((-66)\/8)\/(-11)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3109993 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 980\/(-224)*(-1176)\/105\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5403\/7 - 772. Which is the closest to -174? (a) 2 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12403 rounded to the nearest 100?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 35 = i, q + 31 = i - q. Let n = i - 21. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17768 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + -0.2. Let k = -0.07 - -3.07. Suppose 0*z = 3*z - 6. Which is the nearest to m? (a) 0.5 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s + 16*s - 123 = 0. Suppose 29*d - 2 = 28*d, 2*k = 3*d. Solve k*q + 9 = s*c - 0, 0 = 2*q - c + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220 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: Let t(l) = -l**2 - 6*l - 6. Let d(g) = g - 11. Let u be d(5). Let z be t(u). Let x be 4 + z\/9*3. Solve 2*c + 5 = -m, 2*m = -c - 9 + x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11626?\nAnswer: 2, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.98 and -178.\nAnswer: 6938.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let q(o) = o**2 - 5*o + 6. Suppose 6*y = 2*y + 16. Let p be q(y). Let u(s) = 4*s**2 + 0*s**2 - p*s**2. What is u(r(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyycxyyqqyccqqqqq. Give prob of sequence yx.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 106 (b) 1 (c) 78\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, 2, -5, -69.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 327*(-12)\/(-36) - 5. Let h(x) = 13*x - 3. Let k(f) = 455*f - 104. What is b*h(a) - 3*k(a)?\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47680561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 14.76. Let s = m + 0.14. Which is the nearest to 2\/3? (a) s (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1164?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*297\/(-231)*(-77)\/(-22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 8*z + 5*z + 3)*(-z + 2*z + z).\nAnswer: 6*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*m = -9, -2*f + 13 = 5*m - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 2*m - 1. Let t be q(-2). Suppose 3*g - a = -4*a - t, -4*g = -4*a - 20. Let o = g + 2. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.37488287 rounded to three dps?\nAnswer: 25.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-4)\/(-4)))\/(2\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 divided by 7?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*m - 267*m + 85*m - 17 + 91*m.\nAnswer: -5*m - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28456560877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ccvpvp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*z = -490*z + 3 - 3. Factor z*i**2 - 1\/9*i**3 + 7\/9*i - 2\/3.\nAnswer: -(i - 2)*(i - 1)*(i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 3*f + 15. Let g(a) = 22*a**2 + 10*a - 61. Let w(m) = 2*g(m) + 9*o(m). Calculate w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 6*d. Suppose d*a + 56 = -0*a. Let f = -7 - a. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 8*o**6\/15 - 36*o**2 + 13*o. Differentiate d(n) wrt n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (33\/165)\/(3\/(-129)). Which is the closest to 1? (a) 2\/7 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + q - 9. Suppose -5*d = 3*a + 79, -4*a - 26 = 2*d - d. Let o = d + 8. List the prime factors of m(o).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 + 73 - -159 - 71?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615 + (8\/(-72) - (-20)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a century?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 2*n + 2*n. Let o(x) be the second derivative of x**3\/6 + x**2\/2 + 2*x. Let h(l) = -l - 3. Let f(m) = -h(m) - 3*o(m). Calculate f(a(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-4)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:23 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjnu when four letters picked without replacement from uueuunjbubbujj?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 + 7*g**5\/20 + 11*g**4\/24 + 31*g**3\/6 + 31*g**2. Is a(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*v - t, 0 = 2*v - 5*t - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6*z - 6. Let k be r(5). Let g = -8 - k. Suppose -2*v + 2 = -g*v, 3*n + 5*v - 41 = 0. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, -1, 1, -97 in ascending order.\nAnswer: -97, -16, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d - 46*d**3 + 7*d + 5*d in the form m + f*d + t*d**2 + r*d**3 and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 4, p: 4}. Give prob of picking 1 f and 1 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -508 - -594. Calculate the remainder when 195 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-135)*10*(-6)\/(-8). Solve -p*l = -3*v - 0*l + 2, -8 = 2*v + l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -59*c - 8. Suppose 6 = 6*a - 9*a. Let l be s(a). Suppose 115*d - l*d - 5 = 0. Solve 16 = 4*r, -4*f + r - d - 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*2 + 0)**2 + sqrt(1300).\nAnswer: 10*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 - 3*j - 6. Let i(t) = 12*t**2 - 5*t - 10. Let o(v) = -3*i(v) + 5*r(v). Let q(z) = 506*z**2. Calculate q(o(w)).\nAnswer: 506*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-25) + (-1 - (-8)\/10). Suppose 2*d + m - 4 = 0. Find the second derivative of 112 - 24*c**d - 112 - 3*c wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - 0 - -54 - -21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112111 + 11?\nAnswer: -2112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 4134?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 4)*(40*q**4 + 185*q**3 + 183*q**3 - 366*q**3 + 7) to the form k*q**2 + t*q**4 + r + c*q + j*q**3 and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 22. Let v be (-21112)\/(-3458) + (-4 - 0 - 2). Put 4, m, v, 2\/5 in descending order.\nAnswer: m, 4, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/44145 and 37\/239.\nAnswer: 10550655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 14868?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 17529332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/6 - 3249898*o\/3 - 6499795\/6 = 0.\nAnswer: -6499795, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 7, 2, 1684, 9.\nAnswer: -93, 2, 7, 9, 1684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from bbnknkbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2023, 8088, 18197, 32350?\nAnswer: 50547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 264, 2050, 6894, 16326, 31876, 55074?\n\"Answer: 255*a**3 - a**2 + 4*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 145943, 145787, 145631, 145475, 145319?\n\"Answer: -156*d + 146099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 16 + 13*c - 6 - 25.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c. Let s(b) = 527*b - 2. Let p(d) = 264*d - 1. Let u(k) = -5*p(k) + 2*s(k). What is u(a(z))?\nAnswer: -798*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5561 and 10117.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122971046 rounded to five decimal places?\nAnswer: -0.12297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 478 - -672?\nAnswer: aea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riz when three letters picked without replacement from {z: 2, r: 2, u: 8, i: 5, e: 2, v: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-5)\/(-30)). Let k be 0*1\/(3\/3 + -2). Suppose -8*h + 1 - 9 = k. What is the closest to h in t, -2\/21, 0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 - 3 - 32*c**2 - 4*c + 36*c**2 - 18*c. Give w(-9).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38 + -2 + -1 + 1. Let l be 35 - 27 - (-6)\/(-2). Suppose c = -l*c + r. Calculate the highest common divisor of 96 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367963927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -6. Let q be 44\/20 - m\/15. Let s(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - b**2 + 2*b. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/2 + 7131*d**2 + 85734*d + 257364 = 0?\nAnswer: -6, 4766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13635087 minus 2061?\nAnswer: -2060.86364913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/((-9)\/72*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r + 1. Let i = 19 + -17. Is 13 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 484167.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*-1 + (1 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 9, f: 4, g: 3}. Give prob of picking 1 f, 1 n, and 2 e.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*q**2 + 661*q - 99670 wrt q.\nAnswer: 22*q + 661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 25\/2, -0.01, 0.3 in ascending order.\nAnswer: -0.01, 0.3, 0.4, 25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3608 or 3642?\nAnswer: 3642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 14*t**2 + 15*t - 14. Let b(j) = 7*j + 6. Let l be b(1). Let f be k(l). Suppose f*q - 870 = 294. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4187468 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 2236311 - 57*g + 2236317 + 57*g.\nAnswer: -22*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 0*t - 2*t + (2*t - 4*t + 3*t)*(-5 + 6 + 3) + 34*t - 21*t - 20*t to u + z*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 26*j + 65. Let r be o(-25). Suppose 0 = -2*b - 0*b + r. Calculate the remainder when 134 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 139, 208, 277, 346, 415?\n\"Answer: 69*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*o = 443*o - 2 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618*g**5 - 2*g**4 - g**3 + 18*g**2 + 30*g wrt g.\nAnswer: 37080*g**2 - 48*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.2, 20, 3.7, -250?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 + 14?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -19) + -25 + (-1 - (-3 - -3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08224132 rounded to four decimal places?\nAnswer: 0.0822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3882 + 2693. Let v = b - -1828. List the prime factors of v.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 6*m + 4. Let i be a(-6). Let f be 1 + 0 - (i + 0). Let w be (-1 - 1) + 0 - f. Let o(n) = -n**2 + n. Determine o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 = -5*m + 26, 23*m + 34670 = n + 34729 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - (-1240)\/16. Let c be 14\/6 - 3\/9. Suppose w = c*v + 11, -6*v + 3*v = 2*w - 22. Calculate the highest common divisor of q and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 132 = 3*d, -j + d + 32 = 0. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44747511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 9*a - 10. What is the second derivative of -12*g**5 + 15*g - 2*g**5 + 5*g**5 - 7*g**a wrt g?\nAnswer: -320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x - 2. Let i(o) be the third derivative of 11*o**4\/8 + 7*o**3\/6 + 1827*o**2. Give 9*a(p) + 2*i(p).\nAnswer: -6*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a131 - 18?\nAnswer: -1a149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 2*t)*(4 + 2*t - 4) - t**2 + t**2 + 3*t**2 + 2931*t - 1462*t - 3 - 1459*t - 8*t**2.\nAnswer: -7*t**2 + 10*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/20 + d**4\/4 - 17*d**2. Let g be f(-7). Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 - 218*j + 1346. Let p be a(6). Factor -13\/6*b + 7\/3 - 1\/6*b**p.\nAnswer: -(b - 1)*(b + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s - 2. Let i(w) = -4*w**2 + 8*w + 8. Let p(f) = -i(f) - 3*z(f). Let u = 1 - 3. Let h(j) = j**2 - 3*j - 3. Calculate u*h(v) + 3*p(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.161 - 1.561. Sort 3, b, 1 in decreasing order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 7:40 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/12*((-10)\/(-105))\/(80\/30).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3))**4*k**(-2\/5)\/(k*(k\/(k\/(k*k*k**(-5)*k)))\/k*k) assuming k is positive.\nAnswer: k**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose 10 = 3*t + b, 5*t - w*b - 12 = -7*b. Suppose -30 - 26 = -t*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3*k - 3. Let d be g(4). Let u be -2*1*d\/(-9). What is the nearest to u in -3\/7, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/8 - w**3\/3 + 12*w**2. Is b(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:39 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20660 and 40439884.\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2600601 and 3.\nAnswer: -7801803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**1*y))**(-2\/91))**(-7\/6) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q**2 + 16*q**2 - 35*q**2)*(3*q**2 - 1 + 1)*(-6 - 5 + 3 - 4).\nAnswer: 1152*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 50*j - 15. Let l(o) = -7*o + 2. Determine -15*l(q) - 2*p(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/967232 and -123\/8890.\nAnswer: 4836160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.53223l in millilitres?\nAnswer: 47532.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z**(-1\/36)*z)\/z*z*z*z*z*z\/(z*z\/((z\/(z\/(z\/(z*z**(-4)*z)*z))*z*z)\/z*z)*z)*z*z**(1\/6)*z*z*z**(-13)*z assuming z is positive.\nAnswer: z**(41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, -1\/2, 1, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218784354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31387 = -407*s + 709*s + 1122*s - 88347 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -7. Let f be (-2 + j)\/((-4)\/4). Let u = -6 - f. Solve -2*d = -d + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 189 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64152 and 7128.\nAnswer: 64152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 9*z**2 - 5*z - 2. Let q be l(-2). Sort -12, 11, q, 1 in decreasing order.\nAnswer: 11, q, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 12*i - 76. Determine p(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 700939535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*k - k + 58 = 0, -3*k = 9. Let b be (537\/2)\/(21\/c). Suppose -4*x = -7047 + b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181590.822 seconds to days.\nAnswer: 2.101745625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let p(j) = -38231*j**2. Give d(p(s)).\nAnswer: 38231*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 6, k: 9, z: 3}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69028 - -131500. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -755 + 1306. Calculate the greatest common factor of j and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 32*w - 56. Solve -w*v + a = -1 - 2, -5*a - 3 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from {z: 2, u: 2, l: 5}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-10))\/(11\/55). Suppose 5*i - 13 = o, -4*i - r*o + 2*o + 5 = 0. Suppose i*a + 20 = y, -3 + 9 = -3*a. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/50 + i**4\/15 - i**3\/15 - 2*i**2\/5 - 5*i. Suppose m(d) = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose -3*u + 11 + 1 = 0. Let n(s) = -s**2. Let y(r) = -8*r**2 - 7*r. Let k(x) = -2*n(x) - y(x). Let t(f) = -3*f**2 - 2*f. Calculate u*k(p) + 14*t(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2264, 2254, 2240, 2222?\n\"Answer: -2*t**2 - 4*t + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/173? (a) 5 (b) 3\/2 (c) -2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/2 - 28*n**2 - 392*n = 0?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10480, -20981, -31480, -41977, -52472, -62965?\nAnswer: -73456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6 - -62.4. Let q = 33 - h. Let p = q + 40.9755. Round p to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -7. Let p(l) be the second derivative of -11*l**3\/3 - 4*l. What is the smallest common multiple of h and p(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 143, 319, 565, 881?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529635 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3116233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00245292 rounded to 6 decimal places?\nAnswer: 0.002453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - 1*sqrt(96) - sqrt(24) - sqrt(24))\/(sqrt(24)\/(sqrt(6)\/sqrt(2)))*-1 - (sqrt(162)\/(sqrt(12)\/sqrt(2))*-5 + 2)**2.\nAnswer: -679 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/60)\/((-15)\/(-10)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 44*g**2 - 22*g - 5. List the prime factors of y(5).\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38848558051*b - 38848558051*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-62))\/((-39)\/156)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36352 - 5.63648. Which is the nearest to 6? (a) f (b) 3\/5 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 11951?\nAnswer: 5\/11951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 + 4*m**5 - 4*m**4 + (0*m**3 + 3*m**3 - 4*m**3)*(2*m**2 - 2 + 2) + 673*m**5 - 9*m**5 + 545*m**5.\nAnswer: 1211*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -352*p**2 - 55*p + 55. Let b(a) = -13*a**2 - 2*a + 2. Calculate -55*b(i) + 2*h(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45088847 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 2*t - 2. Suppose -2*x + 0*x = 2. Let z be (9\/6)\/(x\/(-2)). Let v(b) = 2*b**3 + 2*b + 3. What is z*h(r) + 2*v(r)?\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 19208*s - 19210.\nAnswer: 2*(s - 1)*(s + 9605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/85 and 33\/10520?\nAnswer: 178840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858880?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (18 + -7)) + -1 + 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 - 4743*i**4\/5 - 21712*i**3\/5 + 44*i**2\/5 + 8304*i - 15104\/5 = 0. What is i?\nAnswer: -944, -4, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1820 divided by 26\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/24 or 215\/11?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11458031 to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263838, -263920, -263978, -264000, -263974, -263888, -263730, -263488?\nAnswer: -263150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 0.7?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)\/k*k)\/((k*k**(-3\/2))\/k))\/((k*k*k\/k**(-4)*k)\/(k\/k**(-1\/4))) assuming k is positive.\nAnswer: k**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.4. Let j = 11 + -11. Let q = j - y. Which is the second biggest value? (a) 1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*q - y, 3*y = -q - 0*y + 16. Let u = -59 + 61. Differentiate 1 + q - 2 + 6*d**u wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111\/676 + 3\/338. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*v - 9 = 0, -2*n - 3*v + 4*v + 6 = 0. Suppose -32 = -2*w + n*z + 31, 5*w = -3*z + 210. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 7*p**2 + 0*p**3 - 1\/30*p**5 - 1\/6*p**4 + 0*p. Solve d(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 + 75*v**2 - 1416 with respect to v.\nAnswer: 4*v**3 + 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3146227km to millimeters.\nAnswer: 314622.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 6. Let j be b(-4). Let a be (-2)\/7 + (-32)\/j. Let i(m) = m**a - 5 + 4 - 5*m**2. What is i(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 965 + 5*w**2 + 965 - 1924.\nAnswer: 2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b + 4. Let y be i(2). Solve 0 = 2*c - 7*c + y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1295583.1 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 2*q - 6*q)*(0*q - 30*q**2 + 8*q**2 + q) to the form b + p*q**2 + g*q**3 + h*q and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -1883*n**6\/120 + 193*n**5\/10 + 1843*n**2. Find the third derivative of s(d) wrt d.\nAnswer: -11298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 13*q - 13. Let i be k(12). Let d be (0 - i)\/(2\/10). Suppose -d*y + 0*y = -10. Let h(o) = o + 1. Let p(m) = m + 2. Determine y*p(c) - 4*h(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 - 277 + 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*m + 63*m - 306*m - 179*m - 175 + 198.\nAnswer: -652*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -9 - 486. Which is smaller: -37 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgsigdgsmgggsd. What is prob of sequence dgib?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14919927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31858 is divided by 678.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6049\/3 - 2016. Which is the biggest value? (a) -1\/3 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 > 10179863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87959*b**3 + 17 - 43965*b**3 - 43955*b**3 to the form c*b + z*b**2 + u*b**3 + y and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - k - 5*k + (0*k + 0*k - 2*k)*(2 + 6 + 1) as c*k + t and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/145, 1\/23, -1\/7, 7?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:25 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 4 - 4 + (-2 + 6 - 3)*(-2*l**3 + 0*l + 0*l) + 0 + 0 + 2*l**3 + (-188*l - 46*l - 392*l)*(0 - 5*l**2 + 0) + 0*l**2 + 0*l**2 - 2*l**3.\nAnswer: 3126*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + (-1 + -22 + 38 - 43).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 502 and -104239942.\nAnswer: -104239440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 161?\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 8*s**2 - 30*s - 692. Give b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 0.3. Let h = 75 - 74.6. What is the closest to 2 in r, h, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 8 - 8 - 2*k**3 + (2 - 2 + 2*k)*(-k**2 + 0*k + 0*k) - 2*k**3 + 2*k - 2*k - 3*k**3 - 5*k**3 - 7*k**3 - 2*k**3 + k - k.\nAnswer: -23*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -5 (b) -4 (c) 0.1 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1473 = 2*u - 9553, -u = 3*p - 16529. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4)\/k)\/k)\/(k*k**1))**(-46) assuming k is positive.\nAnswer: k**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 31*h - 9. Let j be c(-10). Let t = j + 234. Solve 0*o - 3*w = o + 20, -2*w + t = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.5, -23\/7, 3, -2?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-825)*1260815 + (-4)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, 2, -461, -5, 0 in ascending order.\nAnswer: -461, -14, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1166885, 1166903, 1166921, 1166939, 1166957, 1166975?\nAnswer: 1166993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175513322?\nAnswer: 2, 23, 47, 81181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/12 - 2*m**3 - 6*m**2 - 6*m + 23. Suppose -2*q = -p + 27, -3*q = 2*p + 21 + 2. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-10) + (-99)\/45. What is the closest to 0.1 in a, -3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h - 1994 = -6164 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6) + 2 + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*t - 36240 = 0, -4932 = 4*d - 5*t - 149804. Does 84 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 318, 777 in decreasing order.\nAnswer: 777, 318, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 + 416*o - 28*o**2 - 416*o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 16 = -74*i + 72*i, -i = -4*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = -3. Let i be (-8)\/((-1)\/3 + 15\/y). Let x(n) = 3*n**2 - 12*n + 3. Let c be x(i). Solve c*k - 8*k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 356\/18 + (-8)\/(-36). Suppose 5*i + 5*g + 25 = 0, -g + 3*g = i + 11. Let s = i + 15. Calculate the highest common factor of s and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - 148*y**2 - 86*y + 783. Calculate v(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -49636, 0.1, 3, -5, 18, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2\/5*j**2 + 0 - 4\/5*j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 9*y**2\/2 - 44. Let x(z) be the third derivative of z**5\/30 - 3*z**2. What is x(n(t))?\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2 + 2)*(-12 + 5 + 4)*((3 - 2*k - 3)*(-1 + 2 + 1) + (150 - 2 + 93)*(2*k - 5*k + k)).\nAnswer: -2916*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17 = -7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7554990 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.447549 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -544\/23?\nAnswer: -544\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + f = 131, 0 = 2*q - 10*f + 15*f - 70. Solve -10*t - q = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349601929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 45*v**2 + 2*v. Let m be l(2). Suppose 2*a - 4*a - m = -n, 2*a = -3*n + 560. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrqr when four letters picked without replacement from rrrqrrrrrsr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28993 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063299.\nAnswer: 3, 17, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.41, 0.04, 3, 950?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 0.31?\nAnswer: 33.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*n**3 + 209*n**3 + 195*n**3 - 68*n**3.\nAnswer: 576*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + 1.79. Let y be (-7)\/14*4\/(-14). Sort r, y, 0.\nAnswer: 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 2*v + 3 - 4 - 23*v with respect to v.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1177473190, 2354946382, 3532419574?\n\"Answer: 1177473192*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 34 - 1427*b - 9 + 10. Let g be m(5). What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l + 64 = 0. Let y be ((-10)\/(-115) - (-480)\/828)*3. What is the highest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5339, -20793, -46543, -82583, -128907?\nAnswer: -185509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39945 - -39944.99945013. What is v rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14*k = -13*k + 2, -15 = 3*k. Let i(h) = -10*h**2 + 1. Give i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 = s + 1060. Let x = s + 13781\/6. Let k = -255721\/20 + 12792. What is the common denominator of k and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49802388 is divided by 607346.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -111 (b) 12 (c) -2\/11 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77700\/(-125))\/7 + (-4)\/14 + 60\/700.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 109. Let q = -187 - -454. Calculate the remainder when q is divided by u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 6 + 6 + u**2 + (u + u + 0*u)*(3 - 3 - u).\nAnswer: -u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465 + 6*s**2 - 838 - 4*s**2 - 269 - 1156.\nAnswer: 2*s**2 - 1798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 232 or 230?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2858, 2861, 2862, 2855, 2834, 2793?\n\"Answer: -z**3 + 5*z**2 - 5*z + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from jwhhwwhhjhwhjww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2753 + 2758. Put 2\/7, 14, 3, g in decreasing order.\nAnswer: 14, g, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61543733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-50)\/4)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 5*j**2 + 4*j**2)*((-5*j - 23 + 23)*(-5*j - j + j) - 2 + 2 + 2*j**2 + (-2*j + 2 - 2)*(-j - 2 + 2) - 5*j**2 + 2*j**2 + j**2).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2248 and 1\/248.\nAnswer: 69688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/24 - d**3\/6 + d**2. Let s(m) be the first derivative of 5*m**2\/2 + 5*m + 21. Determine -9*o(k) - 2*s(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + (29 - (39 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17921417.\nAnswer: 17, 1054201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276986046?\nAnswer: 2, 3, 463, 99707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2279*g - 775*g - 739*g - 731*g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (324\/(-1836))\/((-3)\/(-2)*1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10153111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 42*t - 36. What is f(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*d + 41*d - 1722. Let z be (-1)\/(-4) - d\/28. Suppose 29*u = z*u - 328. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, -8, -48, -78, -104, -132?\n\"Answer: -b**3 + 14*b**2 - 91*b + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z. Let b be j(-1). Suppose 4*m + 23 - 3 = 0. Is 4 a factor of ((m - b) + 2)*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7210 + 14427 - 7217 + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12.5. Which is the smallest value? (a) 3 (b) u (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*x + 736, -5*x + x + 976 = 4*f. Let r = x + -156. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3260*q**4 - 4023?\nAnswer: -13040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 + 3*i**2 - 1 + i**2 - 1 as f*i + c*i**2 + o and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 71.89627\nAnswer: -143.79254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o*o*o*o**(-5)*(o*o**(-1\/3)*o*o)\/o**(1\/10))**(5\/7) assuming o is positive.\nAnswer: o**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -49. What is the remainder when x is divided by 1 + (5*2 + 1 - (209 - 207))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*w + 187 = 7746 + 1018 + 7420 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v + 5 + 0*v + 7*v. Let d(i) = 3*i - 8. Let r(c) = -8*b(c) - 5*d(c). Let u(s) be the third derivative of s**5\/30 - s**2. What is u(r(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3 - 3 - 4 - 10*i + 5. Does 18 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(4032)*-2 + sqrt(63)*2 + -2.\nAnswer: -42*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxwxxjxonjnaxaxxjn. What is prob of sequence jn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -437*m**5\/30 - 311*m**3\/3 + 1058*m**2. Find the first derivative of x(h) wrt h.\nAnswer: -1748*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30830897 divided by -269\nAnswer: 114613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {c: 1, r: 1, h: 3, v: 1, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 + 418. Let u be (1\/(-1))\/((-3)\/(-297)). Let q = v + u. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, x: 5, m: 1, j: 4}. Give prob of sequence ejx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 44*d - 493. What is the second derivative of 355 - d*r**3 - 2*r**2 - 355 + 3*r**2 - 36*r wrt r?\nAnswer: -174*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)**(-26)\/(u**5\/u*u**(-4\/9)*u) assuming u is positive.\nAnswer: u**(-275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/40 and 4\/(-48)*(-1070)\/(-30).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-7))\/(2\/(-28)). Suppose 3*m + w + 110 = 7*m, -4*m + n*w + 104 = 0. What is the remainder when 90 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 11 - -19 - (-1 - 0) - 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 + z. Determine j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {x: 2, f: 3, z: 5, u: 9}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - y + 184 + 120 + 135 - 600 - 3*y**2 to the form p*y**3 + b*y**2 + j*y + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 30 - 30*i**2 - 29*i**2 + 61*i**2 + 12*i. List the prime factors of h(-9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 7367955 - 1613983 = 0. Suppose -80998 + d = 3*r. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/9)*o*o*o\/(o**(-24)\/o*o)*o assuming o is positive.\nAnswer: o**(251\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.749164 + 48?\nAnswer: 46.250836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 14\/1413, 3, 5, 10, 1 in increasing order.\nAnswer: 14\/1413, 2\/11, 1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*d + d = 51, -d + 33 = 4*r. Suppose -542 = -o - r. Suppose k = -3*y - 3*k + 802, -2*y = 3*k - o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**8\/588 - 2*n**7\/735 - n**6\/42 - n**5\/35 - 4*n**2 - 20*n. Let c(d) = 0. What is d?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40687425*t**3 + 128788512*t**2 - 1 wrt t.\nAnswer: 244124550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*q = -240, 0 = q - 82 + 85. Put 4, 5, v, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2190 by -438.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -56.31. Let p = m - -0.309987. What is p rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 47 - 145. Calculate the remainder when 127 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -45\/4*o**4 - 41\/2*o**3 + 0*o**2 + 0 + 77*o. What is the second derivative of p(g) wrt g?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 3740?\nAnswer: 130900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*10*(-6)\/(-5400)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**8\/b*b)*b**(-2\/23)*b)\/(b\/(b*b*b**(2\/19))*b\/(b**(1\/3)\/b)*b))**12 assuming b is positive.\nAnswer: b**(-45352\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from azfzdzfbzdfzzfz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 38*n = -114 - 33. Let c(l) = 2*l**3 + 14*l - 30. Determine c(n).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f - f**2 + 3*f**2 - 26*f.\nAnswer: 2*f**2 - 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25461 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34062 is divided by 1474?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 20. Suppose -i - 3 = -4*i. Sort -0.5, i, h in ascending order.\nAnswer: h, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - (-30)\/8. Let k = 1597 + -1891. Let u = k - -299. Solve 3*p + 6 = a*b, -2*p = -2*b + u*b - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t - 1. Let g be r(2). Suppose 3*f = -5*w + 26, -6 + g = 5*f + 2*w. Calculate the remainder when 41\/3 + (-10)\/15 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425353.\nAnswer: 19, 61, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 3 - (-5 + -1) - -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*2\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j**2 + 1)*(76 + 2339*j**3 + 1793*j**3 - 78).\nAnswer: -4132*j**5 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1878*f + 285453. Calculate n(152).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986, 1014, 1066, 1148, 1266?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1152542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 13499 - 12905 = 0 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/68 or -185?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 20*l + 25. Let f be v(-11). Let h be 6\/6 - (1 - f). Find the second derivative of 13*n**3 + h*n + 9*n**3 - 6*n + 0*n wrt n.\nAnswer: 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.8 in 0.7, 0.84, -1, -2, 0.56?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -35*c - 2. Let m = 22 - 18. Suppose m*x - 3*x + 4 = -2*y, 5*x - 8 = 4*y. Does 17 divide o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (65\/10 + 1)*8\/3. Let c = 14 - f. Let u(q) = -q**2 - 6*q + 6. Determine u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+31\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-9312988.218\nAnswer: -9312988.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10569, 10335, 10101, 9867?\nAnswer: 9633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5. Let r = 9 + l. What is the second biggest value in 3\/7, r, -3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 33*d + 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/6)\/g)\/(g*(g**(2\/15)*g)\/g)*g**(1\/5)\/g*g*g*g**(-11)*g assuming g is positive.\nAnswer: g**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(224\/21))\/((-3)\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 771 = 15*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z*z*z*z\/(z*z**(-9\/4)))**(-20) assuming z is positive.\nAnswer: z**(-285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnh when four letters picked without replacement from hnnhnnnhhhhhhhhh.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 6. Let t be v(-4). Let k be (3\/(-10))\/((-33)\/15 + t). Let h = -2.4 - -2. Which is the closest to 0.1? (a) k (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffafaffvxafxvaaxfm. What is prob of picking 1 a and 1 v?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-136)\/(-17))*((-85)\/40*-4)\/(-1)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:03 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i**3 + 27*i**3 + 7*i**3)*((7 - 5 - 3)*(-1 - 1 + 3) + 7 - 1 - 3).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55617858?\nAnswer: 2, 3, 3089881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + q - 192 = 0, 5*q + 2 + 26 = c. Let l = -32 - -40. What is the remainder when c is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40146*g**3*z - 359*g**3 - 5*g**2 - 3 with respect to z.\nAnswer: 40146*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(143) - (sqrt(143) + -4*(sqrt(143) + sqrt(143) + 2*sqrt(143)))))\/(sqrt(1584) - (6*sqrt(1584)*1 - sqrt(1584)) - sqrt(1584))*-1)**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 0. Let q be (n*18)\/(-2 + 0). Differentiate -g**4 + q*g - 9*g + 2 with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11933752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 4. Let o be (5\/(-10))\/(4\/t). Solve 0 = 2*r + 2, o*f + 4*r = -5 - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2)*(2*g + 0*g - g)*(2*g + 2 - 2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 263157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -211590\/7 at least as big as -30227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 44 - 51 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468719 or 468720?\nAnswer: 468719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*h + 46 = 38, h = 8. Sort 51, -2, -5, k in decreasing order.\nAnswer: 51, -2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 469660 and 40?\nAnswer: 939320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -78 + -53 - -66\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 3304*m**2 + 10146*m + 357480.\nAnswer: -2*(m - 12)*(m + 9)*(m + 1655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 4*x - 2*x - 4*x to r + k*x and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 2879602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:04 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.1132201?\nAnswer: 0.6793206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + 1. Let z(v) = v**3 - v**2. Suppose -46 = i + 5*p - 14, -2*p = 10. Let g be 4\/14 + 16\/i. Give g*z(q) - o(q).\nAnswer: -q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/33*225)\/((-7)\/(-7))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + x. Let m(v) = 788*v**2 + 3*v + 8. Calculate 3*k(b) - m(b).\nAnswer: -794*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5766 is divided by 949.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:47 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 - 251281*p + 7537530 = 0. Calculate p.\nAnswer: 30, 251251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.918 - 0.082. Let z(o) be the first derivative of -o**4\/4 + o**2\/2 + 1. Let a be z(0). Sort -5, a, p.\nAnswer: -5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 45*z = 40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 11*c + 40*c + 47*c in the form r*c + f and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 5024*i\/9 - 5006.\nAnswer: -2*(i - 2503)*(i - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 194\/3. Let p = 2 - 3. Calculate the common denominator of (-168)\/(-33) - p - 2 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1911 and 28566993?\nAnswer: 199968951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d + 145*d + 1795 = 106*d - 45 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from wwwwhwhhwhwhwiiwh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27682*c - 27672*c - 379*c**2 - 27686*c + 382*c**2 + 83040*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9200695 is divided by 54766.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*h - 0 + 4, -3*h = 5*u - 11. Suppose -x + u*x - 5 = 2*r, 4*x - 40 = -4*r. What is the units digit of 12\/20 - (-22)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 5593.8?\nAnswer: -481066.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 35250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 4 = 14*h. Let l be (27\/6)\/((-3)\/4). Let c be (-4)\/l - 10\/(-3). Calculate the highest common divisor of c and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -243388, -243379, -243354, -243307, -243232, -243123, -242974, -242779?\n\"Answer: o**3 + 2*o**2 - 4*o - 243387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 430 = 376. Solve -10*o - b = -39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2. Let n(k) = -37*k - 197. Let s(f) = -30*f - 195. Let o(x) = 5*n(x) - 6*s(x). Give o(d(r)).\nAnswer: 10*r**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1 + (-19 + 3)\/8. Solve -d*o = -0 - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 4*n + 2. What is the nearest to -6\/11 in 1, n, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-6) - 2)*(1690\/(-65))\/130.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + g**2 - 3*g - 2. Is i(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3146 - -223. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - -3 - -1) + -4. Suppose -o*j + 8*j = 15228. Let p be (-6)\/8 + j\/(-24). Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -0.0015, 9.9?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -10. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396) - (sqrt(396) + sqrt(396)*1*2))**2 + sqrt(396) + -3 + ((0 + sqrt(396))**2 - sqrt(396))).\nAnswer: -9885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2472 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 108.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6782178, -13564345, -20346512, -27128679?\n\"Answer: -6782167*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*y + 132, -24*y + 67*y - 23 = -2*s + 49*y + 51 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 2}. What is prob of picking 2 z and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.6882 and 0.0121888346?\nAnswer: 8.7003888346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12014*l*s**2 - 112064*l*s wrt s?\nAnswer: -24028*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-15))\/(16\/(-10)). Which is bigger: 1\/5 or q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 19*b**2 + 33*b + 13. Let q be m(17). Let w = -142 - -142. What is the nearest to w in -0.2, 1\/8, q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)\/(w\/(w*w*w**(-2\/17))*w))**(-2\/153))**50 assuming w is positive.\nAnswer: w**(-400\/9537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10246.569466015 - -0.1\nAnswer: -10246.469466015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*f**2 + 245*f**2 + 247*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01583 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + ((sqrt(2) + 1 + sqrt(2) - sqrt(2)) + 5 + sqrt(2))**2 + (sqrt(72) + -3 + (sqrt(72) + -1 - sqrt(72)))**2.\nAnswer: -24*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)**(2\/63)*(l\/l**(-6))\/(l*l**6\/l))\/(l**(9\/5)\/((l*l**10\/l*l*l)\/l))**(-32) assuming l is positive.\nAnswer: l**(-92411\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 53*d**2 - 768*d + 19. What is the hundreds digit of l(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066 a factor of 2597097240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -16)\/((-6)\/(-4)). Suppose -d = 3*d - u. What are the prime factors of -1 + d\/1 + 4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20192965 or 2?\nAnswer: -20192965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s + 8*s**2 - 2*s - 1 + s**3 - 4. Let g(j) = 8*j - 73. Let v be g(-41). Let l = -408 - v. Determine w(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -375.15 + 371. Let x = 4.524 + z. Round x to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7098, 7188, 7278, 7368, 7458, 7548?\nAnswer: 7638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + u - 5)*(229 + 8*u - 229)*((-7*u + 4*u + 4*u)*(-u + 4*u - 4*u) + u**2 + 0*u**2 + u**2) to the form y*u**2 + d*u + i*u**3 + p + m*u**4 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*s - 1. What is the remainder when 17 is divided by 3 - (2 - (1 - s))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(-4)\/p)\/p*p)**(2\/11)\/(p\/(p**(-5)\/p))**(-8\/5))**25 assuming p is positive.\nAnswer: p**(2930\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = 29*b - 62. Solve 0 = -b*h - 3*m + 9, 13*h = 8*h + m + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -141.907. Let x = r + 6.793. Let k = 6.3 - x. What is the closest to 0 in k, -0.5, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000200206 to seven decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u - 17. Let r(l) = l**2 + 16*l + 3. What is the remainder when c(7) is divided by r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387299646 to the nearest integer?\nAnswer: 19680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfssffftsfsfsttfstt. What is prob of picking 2 f?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 5682*o - 5678*o + 11374*o.\nAnswer: 3*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8673288*y**3 + 2299549*y**2?\nAnswer: -52039728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 30318136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**3\/3 - 2*r**2 - 5*r. Suppose l - 5 = 8*b - 5*b, -b = -2*l + 10. Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-39))\/((35\/(-90))\/7)*2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(-29)\/o)\/o*o*o\/o**(21\/2)*o assuming o is positive.\nAnswer: o**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33*l**(-16\/5)\/l)\/((l*(l**(-27)\/l*l)\/l*l)\/(l*(l\/(l*l\/(l\/(l*l**(27\/2)*l*l))*l))\/l)) assuming l is positive.\nAnswer: l**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.8 + 84. What is the nearest to 0 in 0.02, m, 3\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - 222*p - 689. Calculate m(-41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w. Let d be (0 - 0)\/(-3) - w. Solve n - 10 = -3*k, -2*k + 1 = -5*n - d*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 27. Let g be j(-6). Let p be 161\/(-49) - g - 0. What is the second biggest value in p, -0.1, -2.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 - 6*z - 2. Let o(f) = 13*f**2 + 9*f + 3. Let p(c) = -6*o(c) - 10*v(c). Let n(x) = -15*x**2 + 11*x + 3. Give 6*n(s) - 11*p(s).\nAnswer: -2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:51 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3973 and 1507?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(637) + 3)*-4)**2 + (sqrt(91) + -3*sqrt(91)*1)\/(sqrt(7) - -4*(sqrt(7) + sqrt(112))).\nAnswer: 508030*sqrt(13)\/21 + 372096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -33. Let r(s) = 2*s**3 + 6*s**2 - 10*s + 6. Let f(v) = -v**3 - 2*v**2 + 3*v - 2. Let t(k) = 7*f(k) + 2*r(k). What is the tens digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 57*v**2 - 3*v - 6. Let g(t) = -3*t**3 - 116*t**2 + 5*t + 11. Give -3*g(u) - 5*x(u).\nAnswer: -u**3 + 63*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - ((40 - -35) + -38)) + (-13 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-31)\/(-15))*(-279)\/(-12) and -17\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-139)\/(-139))\/(-2*1\/(-10)). Suppose 0 = -4*g + 3*g + 1, -i*a + 104 = 4*g. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2121\/957 + (-138)\/164082*41.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-64)\/30)\/(15\/(-25)). Which is the second smallest value? (a) p (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.055, -0.04, -0.3, -3.5, 2?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n = 668 - 328 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 - -1252. Suppose 5*h + 161 = c. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 5*k - 2. Let p = -6 - -3. Let o be m(p). What is the remainder when 15 is divided by (-3)\/o*(-60)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 4*n**2 - 6*n**2 - 7*n - 11*n**2 as d*n**2 + c + o*n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714888125 plus -0.073?\nAnswer: 1714888124.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - 16*w - 8. Let l be p(-7). Solve 2*d = -0*d + l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 601 + -600.94. Which is the fourth biggest value? (a) r (b) -3 (c) 0.3 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -0.12318555277806?\nAnswer: -0.22318555277806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11459*h**3 - 7*h**2 - 35*h + 14. Let k(u) = -3820*u**3 + 2*u**2 + 10*u - 4. What is -7*k(g) - 2*l(g)?\nAnswer: 3822*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -610 and 355532.818843.\nAnswer: 354922.818843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**5\/5 + i**4\/12 - 5*i**3\/6 - 9*i**2\/2 + 3*i. Let n(u) = -3*u**3 - 4*u - 8. Let c(l) = -4*d(l) + 5*n(l). Give c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*o = -2*o - 40, 5*j = 2*o - 40. Let s(w) = 9 - w - 22*w**2 - 3 - w**3 + 8*w**2 + 7*w**2. Does 10 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmiim?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 15464*c**2\/3 + 30931*c\/3 + 15466\/3.\nAnswer: -(c - 15466)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 7*z - 6. Let y(c) = -3*c**2 - 14*c + 12. Let o(x) = 5*i(x) + 3*y(x). Let p be o(5). Suppose 4*d + d - 20 = 0. Sort d, p, 0.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5945?\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t**2 + 3. Let x be l(3). Let j be (640\/12)\/(-5)*x. Let w be (-7)\/(28\/j) - 3. Let f(d) = d**2 - 4*d. What is f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 - (-186)\/(-183)). Suppose c + 5*r = 3 - 4, -5*c + 3*r - k = 0. Let s = c + 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-3) + -1 + 8\/2. Solve -6*t = -3*t + c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.5. Let d = -1600 - -1606. Sort u, d, -3.\nAnswer: -3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 52. Let b(q) = -q**2 - 12*q - 28. Let c be b(-7). Let l be g(c). Solve -8*t = -6*t - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 15 - 130*t**3 + 15 - 117*t**2 - 6*t + 116*t**2.\nAnswer: -130*t**3 - t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**6\/15 + 13*w**5\/10 - 23*w**4\/3 + 4*w**3 + 72*w**2 - 120*w. Find c such that r(c) = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89.5 + -271030.1.\nAnswer: -270940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 124 (b) 5 (c) -0.009 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-44)*((b*b**(4\/9)*b)\/b*b)\/b*b*b\/b**8)\/((b**1)**(10\/3)*b**(1\/9)*b*b**(-8)*b) assuming b is positive.\nAnswer: b**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 20242921.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*o + 4 - 44, 2*o - 16 = 3*v. Calculate the lowest common multiple of o and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, j: 4, y: 4, g: 4}. Give prob of sequence hy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.278026 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-119))\/(240\/(-392)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 10. Suppose -4*v + 20 = 0, u*l = 2*l + 5*v - 16. Suppose -8*m + l*m - 12 = i, 0 = -m - 2*i - 6. Sort 0, 3, m in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + v + 1. Let u(m) = 12*m**2 - 2*m + 1. Determine -2*c(z) - u(z).\nAnswer: -10*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5607147*b - 5607161*b + 8.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*p**2 + 23*p**2 + 5*p**2 + 7 + p**2 in the form w + v*p + i*p**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/(b**(-2\/11)\/b*b))\/(b*b*b**3*b*b\/(b\/b**(2\/9)*b*b*b)) assuming b is positive.\nAnswer: b**(-235\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*c = -399 - 9960 - 9906 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 - 142. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -2\/3, -9\/17, 30?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 148, 146, 144?\n\"Answer: -2*z + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166\/143 + 4\/(-26) + 218729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 413, -0.4, 32, 9\/13, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5765.7 - -897556\nAnswer: 903321.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 3, d: 2, p: 4}. What is prob of sequence apf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5 - 4*i**3 + 144*i**2 + 45221*i?\nAnswer: 100*i**3 - 24*i + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8835 - 17659 + 7390*w + 8824)*(0*w**4 - w**4 + 2*w**4).\nAnswer: 7390*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 11*s**2 + 3.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 435206.\nAnswer: -435205.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-136))\/(42\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211242 (base 7) in base 6?\nAnswer: 35250543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0213484355 + -3.0213482255. Let f = -1 - 2. Let z = f - h. What is z rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -1\/3*k**4 + 2*k + 0*k**3 + 0 + 3\/2*k**2. What is the first derivative of b(a) wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 19702?\nAnswer: -13\/19702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - 3*d + 12, -132 = -4*m + 2*d. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27475 (base 13) in base 8?\nAnswer: 217071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 2*g - 4. Suppose -4*i - 40 = 56. Let o = i - -37. Let l(k) = o - 27 + 15. Calculate -5*l(j) - y(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 541670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 8*h - 9. Let b be g(6). Suppose 0 = 6252*k - 6249*k - 45. Let y be 0 + 1 + -1*1. Solve -b*r = -y*r + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000992 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/5 + 54*x**3\/5 - 336*x**2\/5 - 392*x\/5 = 0. Calculate x.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -j*r + 5*m + 133 = -79, -4 = 2*m. Suppose -5*k - 336 = -r. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 5*c, -17*f - 25*c - 16 = -14*f - 24*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 36 + 63. Suppose -3*t + 5*z = -4*t + a, -5*t + 4*z + 161 = 0. Let g = -21 + 34. Solve 0*c = -5*b - 2*c - t, -4*c = b + g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + -2) - (-26 - -24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/135456 and -37\/22493?\nAnswer: 36708576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 137. Let f = 527\/7 - k. Factor -4\/7*o**2 + f + 2\/7*o**4 + 0*o**3 + 0*o.\nAnswer: 2*(o - 1)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w + 3. Let l(z) = -12*z + 39. Calculate l(c) + 6*o(c).\nAnswer: 6*c + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0130732 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) -0.236 (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 24 = -3*x + 6, -5*x + 3*s = 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8526112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3988009 to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 36*u**2 - 36*u**2 + 0 - u**4 + 0 + (6*u**3 - u**3 - 3*u**3)*(0*u - 5*u + 3*u) - 41427*u**2 + 41427*u**2 - 277*u**4.\nAnswer: -286*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11205 + 11211. Let x(p) = -9*p + 3. Let w(o) = -o - 1. Calculate s*w(i) + 2*x(i).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-5 + sqrt(19) + 3)*-4.\nAnswer: -160 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - (-1 + 2)\/((-450)\/(-325)). What is the closest to l in 0.2, -68, -2\/11, 0.11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1477*h**3*t - 93*h**3 + 131490*h**2 - 2*t wrt h?\nAnswer: 8862*t - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-38 - -15) + 0 - -32?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255197?\nAnswer: 255197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*d - 4*d - 7*k + 11 - 41 = -d, 3*d = k - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*p**6 - 118*p**4 + 3*p**3 + 106113*p**2?\nAnswer: 9120*p**3 - 2832*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -29*j - 166. Let y be r(-6). What is the biggest value in y, -4\/7, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2337 (base 13) to base 14\nAnswer: -1b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = -148. Suppose 5*u = 49 + 51. Calculate the remainder when t is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 32*r**2 + 6*r - 3 + 0 - 3*r in the form q + k*r + u*r**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 15. Let c be (-3 + 0)*8\/d. Let u(v) = v**3 + 6*v**2 + 4. What is u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184286 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*j + 76 - 5, 3*p + 79 = -4*j. What are the prime factors of j\/(-38)*(-4 - -2794)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 13\/7 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/(-2470)*-38 + (-86)\/(-30). Let t(n) be the first derivative of -8*n + 0*n**2 + x*n**3 + 12. Differentiate t(f) with respect to f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -5 + 3 + 4. Suppose -7*y + 4*y - 564000 = f. What is y rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 0, 2, 19 in descending order.\nAnswer: 19, 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 1\/2, -32519.\nAnswer: -32519, 1\/2, 71","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6513482 to the nearest integer?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from dyqvl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*b - 1 = 5*b, -2*g - 2*b = -14. Let v be (-1126)\/g + (-9)\/(-18) + -1. What is v rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 711 + -554. Is j greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {s: 2, v: 4, b: 1, e: 2, g: 6, j: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11030 = -7890. Calculate the common denominator of (-4)\/(0 + -4) + 172\/(-72) and (-2)\/8 + 3322\/t.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8007659 = -3*i - 2118760, -5*i + 4711127 = 4*d. Let z = -4577778 + d. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1624 and 184933.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = -0*c. Let v be ((-2)\/(-3))\/(2\/9). Let x = c - v. Solve -u - 2 = -1, -u = -d - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90ab9 (base 15) to base 11.\nAnswer: -293159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1703 - -1711) + (-13 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*q**2 + 3 + 360*q**2 + 469*q**2 + 319*q**2 + 2*q**2 + 3*q**2 - q**2 - q**2 + 3*q - 3*q + (-3*q + 5*q - 3*q)*(-q - q + 0*q).\nAnswer: 1151*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7059\/2 or 3530?\nAnswer: 3530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-247))\/(-1 - (-2)\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 289\/6. Suppose 0 = -2*q - 0*q + 4. Let t be (-3)\/q*4\/(-6). Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449.8121 + 9.9221. Let r = -436 - b. Let w = r - 3.88831. Round w to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5256.3622201 - 5282.16224. Let h = 0.034 + -25.834. Let o = h - s. What is o rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2. Let x(b) = -1253636*b**2 - b. Calculate x(w(f)).\nAnswer: -125363600*f**4 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 240*v - 7*v - 10062 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5124?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-11297)\/3003)\/(-79))\/(-1*2\/(-3))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, -2*n = 2*j - 0*j - 2. Let c(q) = q - 2. Let u be c(7). Solve 0 = -m + u*d - 4*d + 1, -m + j*d = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 6) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*q**3 + 51293*q**2 + q - 508016.\nAnswer: 45*q**2 + 102586*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*r - 5. Let i be (-46)\/4 - r\/(-6). Let h = i + 19. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.5 - -47.5. Which is the closest to -0.08? (a) 2 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.06386ug to milligrams.\nAnswer: 0.08906386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1171073*g**3*h**2 + g**3*h - 22*g**3 - 6*g**2*h - 525314*g*h**2 wrt g.\nAnswer: 7026438*h**2 + 6*h - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/2, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 158253777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 90174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.8 (c) 51 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x + 1)*(4 + 1 - 3 - 4 + 2 + 0 + (6 + 4 - 4)*(2 + 5 - 5) - 6 + 4 + 0) + (3 + 1 + 1)*(0*x + 2*x + 0*x) - 2*x + x + 3*x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2, 4, -0.3, -58?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-111)\/60*19 - 3\/(-4). Let g = b - -1912\/55. Solve -2\/11*u**5 + 4\/11*u**3 - 8\/11*u**2 - 2\/11*u + g + 4\/11*u**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/4725)\/(-56 + 60)?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 7 + 6)*(2*c**2 + c**2 - 4*c**2) to the form b*c**2 + d + l*c and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3939 - 3925. Solve -2*a - 2 + p = 4*q, 5*q - 13 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 442 + -382. Let n be 3*(-32)\/j + (-9 - -10). Sort 0.05, n, 3\/7, 1 in decreasing order.\nAnswer: 1, 3\/7, 0.05, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 2, e: 1, a: 2, f: 1}. Give prob of picking 1 f, 1 e, and 2 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - (-233)\/(-4). Does 15 divide 1\/(-1)*-2 - k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 34 - 34)*(-4*b + b**2 + 4*b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -52095 + 2315. Let o = a + -1438. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 19. What is the units digit of 6\/4 - 45\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 17, j: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 + 3*b**3 + 2*b**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332547 is divided by 1430?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.55 - -0.28. Let h = z - -1.27. Let j be (-3)\/(-7) + (-68)\/224. Put h, j, 0.2 in decreasing order.\nAnswer: h, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose -c*s = 2*z - 54, -4*s + 22 = -3*s - 4*z. Let g = s - 8. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*v = 40*y - 649, 12*v - 8*v = -y - 4 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7 and -63\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/13 - 84138*n\/13 + 84112 = 0 for n.\nAnswer: 13, 42056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391994267 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 574 + 1?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1134605 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 6 + 4 + 1. Let p(f) = f**3 - 6*f**2 + 8*f. Let o(l) = 3*g(l) + p(l). What is the units digit of o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -k - 3*d + 5, -3*d = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 + 329*p**3\/6 - 335*p**2\/6 - 551*p\/2 - 165.\nAnswer: (p - 3)*(p + 1)**2*(p + 330)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/36)\/p)\/p*p**(2\/45)*p**(-2\/31)\/(p*p**(1\/30)\/p*p) assuming p is positive.\nAnswer: p**(-5731\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/7)\/d)\/d*d**(-2\/11)*d*d\/(((d*d*d\/d**23*d)\/d)\/d)*d*d\/d**(-22))**(-2\/11) assuming d is positive.\nAnswer: d**(-6814\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7520 + -111?\nAnswer: -7631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 + 504*b - 2033. Calculate f(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*3)\/(-3*sqrt(96)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*12\/100)\/(39\/90*6)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267217?\nAnswer: 7, 181031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-32)\/((-320)\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.91 + 15. Let w = -0.04 + m. Let n = 0.0494 - w. What is n rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -17*j - 4*v - 168484, 0 = 3*j + 3*v - 126315. What are the prime factors of j?\nAnswer: 23, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007950375 to six dps.\nAnswer: 0.000795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.9682 - -0.0318. Which is bigger: c or -0.13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 898434*i + 898434*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*30780\/(-1026)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 465 = 129. Let b = -82 - g. Suppose b*n - 726 = -5*o, -2*o + 5*n = 89 - 391. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*i - 1680. Let h = i + 217. Solve -1 = 4*w + h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**7\/5040 + 19*l**5\/60 - 8*l**2. Let i(y) be the third derivative of x(y). Let m(o) = -7*o**2. Determine m(i(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.78 * 0.02525.\nAnswer: -0.095445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/6227032 and 97\/714868.\nAnswer: 753470872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482860546 to the nearest integer?\nAnswer: 21974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4354 and -17\/16.\nAnswer: 34832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -31*j**2\/2 - 400*j - 227. Let s be b(-13). Solve c + 5 - 2 = 0, -5*g + s*c = -19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 1, z: 1, a: 1, q: 1}. Give prob of sequence hfq.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6699 + 1942 = -427*w + 4637 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, y: 7}. Give prob of picking 1 a and 1 y.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(20\/36))\/(447\/21605)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512694, 1025318, 1537944, 2050572, 2563202, 3075834?\nAnswer: 3588468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1482466 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = 0, -3*w - 3*h + 8*h = -15. Suppose -t + 3 = w, 2*i - 1 = t - 0. Which is smaller: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 427. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -15, 9.8, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -605.2 + 605. Let p be ((-3)\/(-18))\/(1\/6). Which is the second smallest value? (a) y (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 - 2*w**4 + 7*w**4 + (4*w**2 - 3*w**3 - 4*w**2)*(-w - 5*w - w) + (0 - 3 + 2)*(-w**4 - w**4 + 0*w**4) - 4*w**4 - 21*w + 21*w)*(0 - 3 + 2 + w).\nAnswer: 21*w**5 - 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*((sqrt(140)\/(sqrt(25)\/sqrt(5)) + 2)*5 + -4))**2.\nAnswer: 1920*sqrt(7) + 11777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from bjaujobjjoou.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 8. Suppose 50293316 = 3*c + u*j, 5*c = -4*j + 7*j + 83822203. Let p = -7364440 + c. What is p rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85367025 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 36 = 3*i, 0 = 2*i - 13838*v + 13840*v - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 1 + 1)*(-17*w**4 - 16*w**4 + 14*w**4).\nAnswer: -38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414294420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5078153 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357590.\nAnswer: 2, 5, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/12058 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63545453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 3. Let d be z(6). Calculate the remainder when d - (-80 + -3 + 2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from kkukkuukuk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 66)*(14 + -4 + 2)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-318 + 4)\/(-2*(-7)\/(-14)) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/42 + (-10)\/(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2372341013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 2*j, 21 = -4*j + 3*y + 6. Let v(d) = -d**3 - d + 4. Let u be v(j). Differentiate -2*h - 3 + 6 + u*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 x when four letters picked without replacement from vxxxvxxvxvxvx?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 11 = t + 2*w, -5*t - 5*w = 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*f - 20, 35*h - 30*h - 20 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 11*k - 11. Let f(j) = -j - 1. Give -4*c(p) + 44*f(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 + 0*q**5 + 0*q**5 + 2*q**3 - 3 + 3 + 4 + 8*q**5 + (-q**2 - q**2 + 4*q**2)*(-2*q**3 + 3*q**2 - 3*q**2).\nAnswer: 7*q**5 + 2*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apaapvpaappptappppp. Give prob of picking 1 a, 1 v, and 1 p.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/4 = 891791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.5. Suppose 4*o - 22 = -2*a, 0 = -3*o - 2*a - 2*a + 29. Sort o, -0.2, f, -0.3 in increasing order.\nAnswer: -0.3, -0.2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039359533 to six decimal places.\nAnswer: -0.003936","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114\/245? (a) -2 (b) 48 (c) -2\/9 (d) -1 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-14))\/1*8\/(-12)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 76800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/3)\/c*c)**(-6) assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.83 + 62.83. What is the nearest to 8 in -4, 3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*c + 21 = 0, -5 = -2*r + 3*r - 2*c. Suppose -3*y = -3*u, -r*y - 2*y - 4*u = -27. Solve -7*o - 4*n = -y*o, 6 = 5*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392442532 divided by -5108\nAnswer: -76829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15135, 15134, 15133, 15132, 15131?\nAnswer: 15130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 89?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*b*c*x**3 - 8*b*c*x**2 - 17*c*x + 4*x**3 - 1 wrt b?\nAnswer: 25*c*x**3 - 8*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*r + 79453*r**5 - 79758*r**5 - 47*r wrt r?\nAnswer: -6100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -737*q**2. Let s(f) = 4*f. What is u(s(x))?\nAnswer: -11792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + o - o + (0 - 1 + 3)*(-7*o**3 + 0*o**3 + 3*o**3).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6389.2232 - -6391. What is q rounded to two decimal places?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2500 = 4*d, 2*d - 1094 - 168 = 5*z. Let t = -873 + d. Put 5, t, 4 in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156*o = 1781*o - 322834 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 370.73.\nAnswer: 630.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 9*a**2 + 22*a + 13. Let z(s) = s**2 + 11*s + 22. Let g be z(-4). Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 36 = -2*u - 47, 4 = -4*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/237048 and 115\/4158?\nAnswer: 23467752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(-28)\/(46816\/(-171))*(-12)\/(-9)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/2 - 4*z**3 - 15*z**2 - 16*z + 192. Factor n(s).\nAnswer: 2*(s - 8)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diii when four letters picked without replacement from diiidiiiiiiddidiii?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 657 - 1269\/2. Calculate the common denominator of -1\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5830229 hours?\nAnswer: 34.981374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 13*t**2 + 23*t + 2. Determine g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4919*p = -4903*p - 176 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134ba8 (base 16) in base 13?\nAnswer: 353773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 3*v**4\/4 + 2*v**3 + 67*v**2\/2 + 3*v. What is the remainder when h(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 7*h - 2*h)*(-5 - 2 - 20)*(-h + 8*h + 3*h).\nAnswer: -2970*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -273, -0.1, 1\/3?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1292.651mg to micrograms.\nAnswer: 1292651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, -0.3, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 34 = -18. Let d(w) = -w**2 + 12*w + 17. Calculate d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616167?\nAnswer: 3, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44779?\nAnswer: 7, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/3567 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 110.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7743 + -7742. What is the nearest to -174 in 6, -3\/7, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*b**2*q**2 + 185*b*q**2 - 71*b*q - 17886714*q**2 wrt b.\nAnswer: 94*b*q**2 + 185*q**2 - 71*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b - 4*u - 2 = 0, 10 = b - 4*u. Let n(f) = -5*f**b - f**2 - 8*f**2 + 2*f**2. Let k(j) = -2*j**2. What is n(k(o))?\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -7*y**6\/120 - 5*y**4\/24 + 5*y**3\/6 + 3650*y**2. Calculate j(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5720 (base 8) to base 11\nAnswer: -22aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ttuuuuuututut?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7671494 rounded to one dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 14 = -6*o - 7*b, -5*b = -5*o - 45 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/3*(16 - 13). Let a(y) = -y**2 + 11*y - 4. Give a(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2\/(-16) + 35\/(-7)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s + 42. Calculate n(6).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:00 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -4021 and -3748 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-9 + 12 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014*-0.0141.\nAnswer: -14.2974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 22*j + 121. Let b be z(-11). Let f = b - 236. Solve -23 - 7 = f*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = -2*r + 14, -4 = -5*d + 2*r. Suppose d*j - 46 = -0*j. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9073110373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*18\/972*3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 27 - 694 - 45 = 178*w, -5*h + 2*w + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*l - 49 = 0, 0*l + 3*l = 15. Suppose -4 = 2*d + n. Let q = -10 - d. Which is the closest to 0? (a) 5 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 23*k**2 - 7*k - 152. Calculate the remainder when 43 is divided by m(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 861 and 4017713.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqqyqqqqqwqqqmfyqqw. What is prob of picking 1 y, 1 v, and 1 f?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 223960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00154201088 to 6 dps.\nAnswer: 0.001542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34768 - 13948 = 641*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1260 + -45355\/36. What is the common denominator of y and -44\/15?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 0)*4*6)**2 + 1)*-3.\nAnswer: -264387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 34. Let u be b(0). Let y(f) = f - 9. Let l be y(3). What is the tens digit of 2\/l - u\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13407748879818 and 10.6.\nAnswer: 13407748879828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/42)\/((-1)\/51))\/(13\/78)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**4 + 0*j + 4*j**2 + 0*j**3 + 1\/60*j**5 + 0. Let f(v) = -6*v**2. Determine f(m(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 572090 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 2214*c + 13206. Give v(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28679783?\nAnswer: 11, 421, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -159, -334, -595, -942, -1375, -1894?\n\"Answer: -43*h**2 + 40*h - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0 - 17*d**2 - 7\/6*d**3 + 0*d + 5\/24*d**4 + 1\/30*d**5. Give r(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -783*g + 777*g + 2502. Suppose 3*j + 4*f = g + 497, -3*j = -2*f - 902. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*i + 24, 5*i + 6 = 6*i - g. Let w(q) = -12*q**3 + 6 - 6*q**2 + 2*q + 25*q**3 - 12*q**3. What are the prime factors of w(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 43 + 310*y - 15*y - 38*y. Is t(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 + 51*v - 61. Let s(p) = -p**2 - 10*p + 12. Let i(b) = 4*f(b) + 22*s(b). Give i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(12\/(-12) - -2). Solve -f - x + 5*x = 2, 4 = f + g*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-112)*((-9)\/7 - (-10)\/35). Factor i + 1\/6*c - 1\/6*c**5 + 1\/3*c**4 - 1\/3*c**2 + 0*c**3.\nAnswer: -c*(c - 1)**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 104111?\nAnswer: -104106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22310*-4\nAnswer: 89240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 5*b + 6. Let r be x(-3). Suppose r = -12*p + 8*p + 4. Solve -h + 7 = n, 3*n - p = -h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535\/2 - -42257\/158. Which is greater: 0.5 or m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**2. Let n(u) = 2*u - 2 + 5 - 3. Determine k(n(g)).\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 3 (b) 5 (c) 2\/15 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1\/q*q)**(-14)\/((q**(-3\/4)\/q)\/(q*q**(2\/19))) assuming q is positive.\nAnswer: q**(-1911\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 16*g - 2*g + 17*g + 18*g - 3.\nAnswer: 27*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2032, 33, 144 in decreasing order.\nAnswer: 2032, 144, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 9\/893, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 3*n - 3. Let i be (1 - 6)*(-36)\/45. Suppose i*j - 2*j - 2 = 0. Suppose 2*q - 7 - j = 0. What is f(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3650, 3655, 3670, 3701, 3754, 3835?\nAnswer: 3950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 2219 + 770 - 13*t + 778 + 671.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (35 - (29 + -30))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5852, -11436, -17020, -22604, -28188?\n\"Answer: -5584*o - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-7 - (1 + (-2 - 6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -16*k + 20*k - 4*j, -4*j = 0. Solve -3*g + k = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17*j - 26 = 0. Suppose -4*y + 0*y = -g - 95, -2*g - 115 = -5*y. What is the remainder when (2058\/(-35))\/(j\/5) is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344\/(-2150) - (-1563)\/(-75).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 1 = 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -19*g + 15. Is 31 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/(121\/(-11) - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 10*m**2 + 9*m**2 + m**3 + 5*m**4 - 2*m**3 in the form h + z*m**4 + w*m + j*m**2 + p*m**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32064698 + -4?\nAnswer: -32064702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17931 + -10740. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10047, 10054, 10075, 10116, 10183, 10282?\nAnswer: 10419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 + -911\/4. Suppose 52*q + 135 = 5*w + 54*q, -6*w - 4*q = -146. Find the common denominator of n and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35200 - -35302. What is the remainder when z is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10 - -36)*(-58)\/(-8))\/(-3). Let l = h - -63. Let u = 3.91 - -0.09. Which is the nearest to 0? (a) 4\/7 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 + 3.9. Let x = 4739.13 - 4737.830005. Let c = w + x. Round c to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5974 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -90. Let g = c + 32. Calculate the least common multiple of 7 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 72 (b) -8\/7 (c) 2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 72.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(1\/1 + 0). Suppose 4*k - 4*b - 22 = b, k = -3*b - p. Let o be 10\/(-12)*-3*2. Put -3, k, o in decreasing order.\nAnswer: o, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 - 11 = 0. Let k(u) = -3 - y + u + 4 + 0. Let q = -16 - -16. Calculate k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 14. Let g be q(-6). Solve -5*d + 6 = -2*t, 5*d + g*t = 2*d - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 18 - 37 - 18*z + 3*z.\nAnswer: -27*z - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8137*g**3*l - 4*g**3 - 471*g**2 - 20*l wrt g.\nAnswer: 48822*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)**(1\/15))**44*(l*l**2)\/l**4*(l*l\/l**1)**(-17\/2) assuming l is positive.\nAnswer: l**(-197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -0.5 (c) 0.8 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.93. Let j = -0.33 - h. Which is the third biggest value? (a) 1 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -304370*j*k**2 + 22*j - 769937715*k**2 wrt j?\nAnswer: -304370*k**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0011 in -2, -5, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113, -193, -273?\n\"Answer: -80*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Suppose 0*y - 4*y - 20 = 0. Let j be (2 - (-42)\/(-15))*y. What is the highest common divisor of n and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -8*f**5\/15 - 5*f**4\/4 - 26*f**2. Find the second derivative of p(x) wrt x.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -15*a**2\/7 + 3183*a\/7 - 636\/7 = 0.\nAnswer: 1\/5, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 28*l**2 + 5*l - 10. Let v be f(14). Let b be 12*(9\/(-2) - -1). Let z = v + b. Calculate the highest common divisor of 162 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231040365 by 113.\nAnswer: 2044605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 212 = 16*v. Let b = -50 - v. Suppose -b*n - 24 = -63. What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in 3\/5, 30.2, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*sqrt(11)*-6.\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909996 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 158*v**3 - 3*v**2 - 7*v - 2. Let s = 14 + -9. Let l be j(s). Let o = -235793\/12 + l. Calculate the common denominator of -5\/14 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 65*c**2 - 12*c + 61. What is the tens digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216146817.2794408 - -216146897. Let h = -0.2792908 - j. Let w = 80 + h. What is w rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1078 and 97\/2495472.\nAnswer: 27450192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73 - 59) + 10 + -1 + 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 4. Let o be m(-4). Let g = o - -55. Suppose -3*b = 2*b - 2*a - g, -5*b = a - 39. Calculate the greatest common divisor of 77 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 46758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 268800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -2\/13, -2.09?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 166880*o**2 - 6*o**3 + 166889*o**2 - 333769*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/300*(2\/5)\/((-3)\/30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -561 - -639. What is the second derivative of -13*s + 39*s + 56*s**2 + 16*s**2 - 20*s**2 + t*s + s**4 wrt s?\nAnswer: 12*s**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 8*q - 2. Let y be d(5). Let n(x) be the third derivative of x**5\/60 - x**4\/2 - 17*x**3\/6 + 2*x**2 - 152*x. What is n(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 105*y + 450.\nAnswer: 5*(y + 6)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*13.6.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 90*x - 89 = 0. Calculate x.\nAnswer: 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(2*(-6)\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390 - -390.683. Let l = n + -0.68298546. Round l to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let u(i) = 2*i**2 - 49*i + 318. Let w(c) = u(c) + 2*y(c). Let r be w(7). Let d = 3 + -3.1. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135408 and 11739.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -285 - 3?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7071 = 2*u + q, 4*u - 15492 = -4*q - 1348. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*y**3 + 8*y**2 - 216*y**3 - 5*y**2 + 6*y**2.\nAnswer: -468*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 28\/8)*0. Suppose -16*q + 13*q + 33 = z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptgtggqypglp. What is prob of picking 2 g and 1 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3680610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1221 + 1?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/51)\/(w*w\/w**(-2\/11)) assuming w is positive.\nAnswer: w**(-1202\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/73063, 0.3, -18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 7. Let a(t) be the third derivative of t**4\/8 + 5*t**3\/6 + 11*t**2 - 4*t. Calculate 8*a(l) + 5*j(l).\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-17 - 1) + 144 + -106)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 10*j + 8*u - 281 + 291, -j + 3*u = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19970657, -39941319, -59911981, -79882643, -99853305, -119823967?\n\"Answer: -19970662*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 266 = 76. Let b = 10 + t. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26986 and 2266824?\nAnswer: 2266824","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 2308 divided by -76\nAnswer: -577\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2790 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 - 4 = -4*m, 2*a = -2*m. Let x be 0\/(-4) + (-1 - a). Solve d + b = x, 0 = 5*d - 2*b + 3 + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12261, 24243, 35777, 46647, 56637, 65531, 73113, 79167?\nAnswer: 83477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 4:24 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31454616 + 11?\nAnswer: 31454630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 10980*c - 265824.\nAnswer: 4*(c - 2769)*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 673309, 673264, 673205, 673126, 673021, 672884?\nAnswer: 672709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/3 - 510*r - 1536 = 0.\nAnswer: -3, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 2*i - 4*i)*(-11 + 49 + 32 + 2)*(5 - 5 - 3*i) to the form c*i + m*i**2 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45901, 45815, 45729?\n\"Answer: -86*x + 45987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -64\/31 (b) 2 (c) -52\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 2, u: 2, z: 3, c: 3}. Give prob of picking 2 p and 1 c.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -0*m + 210. Let v = -37 + 45. Calculate the smallest common multiple of v and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199223 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 70. Let i be c(-13). List the prime factors of i - ((-4 - -3) + 1 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/26, -345\/11, -8 in ascending order.\nAnswer: -345\/11, -8, -33\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 123 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204158 is divided by 40804.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2\/15*j**5 - 26\/3*j - 87 - 4*j**2 + 28\/9*j**3 + 2*j**4. Let u(y) = 0. What is y?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 27 (b) -62882 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -320?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27878 and 31823.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/29, 37, 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/19 (c) -3 (d) 5 (e) -0.7 (f) -222\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 53046.747976 and -5.9.\nAnswer: 53040.847976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422560087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 2874\nAnswer: -45984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1430057077\/2188 + 653591. What is the common denominator of v and 35\/8?\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.0185 - -37. Round q to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 3. Let u(i) = -3*i + 2. Let a(x) = -3*b(x) + 4*u(x). What is the remainder when 23 is divided by a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/1976)\/((-1)\/(-20)*14940\/(-1328))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 2*n + 3. Let c(v) be the second derivative of -3*v**4\/4 - v**3\/2 - 5*v**2\/2 + 28*v. Determine -3*c(g) - 5*i(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, 252, -6, -0.04, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 92 = 3*l + 31, 0 = 2*l - 5*j + 94. Let t be 60 + -64 + 18\/(-2). Let z = t - l. Solve 4*r - z = -4*b, -5*r + 5*b - 5 = 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106167312 divided by -496\nAnswer: 214047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 3.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammaoeaemommmmaeaam. Give prob of picking 2 m.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 19081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 365, 934?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 8236 = -10*q. Suppose -2*c = -5 + 13, -u + 158 = 2*c. Let r = q + u. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/105*3*-15 - (-255)\/60.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -14 + 5 + 8. Let s(g) = -22*g - 15. Let p(k) = -b(k) + s(k). Find the first derivative of p(f) wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 2. Let x = -11 - -11. Let r be i(x). Solve -9 = 5*t + r*h, -2*t - 6 = -4*h + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 211*x**3\/3 + 2*x**2 + 23*x - 609. Find the second derivative of j(d) wrt d.\nAnswer: 6*d + 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 87 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**4*f**(-2\/5)\/(f**(-1\/2)*f))\/((f**(-1))**(-24)\/(f**(2\/5)\/f**0)) assuming f is positive.\nAnswer: f**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j = -47*j + 600. Calculate the highest common factor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 12 = 2*u, 0*h + 5*h + 45 = -5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (397 + 161 - 746 - 684 - 399)*(z**2 + 0*z**2 + 6*z**2) as s*z + y*z**2 + v and give y.\nAnswer: -8897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 89*d**2 - d**3 + 91*d**2 + 93*d**2 + 2 - 271*d**2 + 58*d**4 to the form i*d**3 + j*d**4 + f*d**2 + a + u*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 8. Let j(r) = -r - 1. Calculate 2*j(p) - l(p).\nAnswer: 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-seven quarters of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mmhfmkkmfffmkmmmhm.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 54061 = 3*y, -3*l = 5*y - 32768 + 325. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 - 5*y + 7. Let n(v) = 3*v**2 + 4*v - 6. Suppose -2*i + 5 = -i. Suppose 0 = -i*d - 27 + 2. Calculate d*x(a) - 6*n(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r - 103. Let l be g(6). Let d(x) = l - 6*x**2 + 11*x**2 - 4*x**2 - 29. Let j(t) = 176*t**2. Calculate j(d(b)).\nAnswer: 176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104 - 2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 101. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 0.3, -1\/4, 1\/8, -10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 6*p + 91. Let a be d(-13). Solve a = -5*v - 9 + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - g)*(0 + 0 - 1)*(-1 + 2 + 1 + (3 + 0 - 2)*(4 - 2 - 4) + 2 + 2 + 0) as n + p*g and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 776677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/18)\/((-6)\/(-18)))\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(-195*q**4 + 54*q**4 - 343*q**4) + 0*q**4 + 0*q**4 - 4*q**4.\nAnswer: 2416*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 200. Suppose -2*g = 5*l - u - 11, 4*l + 4*g = 48. Suppose 14*h - 15 = l*h. Let i(k) = -k - 1. What is i(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 9\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134248 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(4\/60). Let x be (-6)\/(-15) + (-78)\/q. Let l = -8 + x. Calculate the greatest common divisor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/(j**5\/j))\/(j**(-1\/6)*j**(-6\/7))*(j**(-5)*j)\/j*(j*(((j*j**(-1\/4)*j)\/j*j)\/j)\/j*j)\/j*j\/(j*j*j**(-1\/16)*j*j)*j**(-6) assuming j is positive.\nAnswer: j**(-5515\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*o - 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(143) - sqrt(143)*1)\/sqrt(11) + 0 - ((2*sqrt(1573)*1 - sqrt(1573) - sqrt(1573)) + (-2*(sqrt(1573) + 1) - sqrt(1573)))**2.\nAnswer: -14161 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.07 - -35.07. Which is the nearest to -0.2? (a) -5 (b) h (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -328081*c**6 + 659*c**5 + 499487*c**2 + 24*c + 4?\nAnswer: -39369720*c**3 + 39540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(2))\/sqrt(4)*5 + (4*2*(sqrt(13) - (sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13)))))**2.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 14, d: 5}. Give prob of sequence ddcc.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5488.757ml?\nAnswer: 5.488757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 893, 1667, 2263, 2399?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*4 + (-12)\/(-16)*4. What is the greatest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33031212 (base 4) to base 11\nAnswer: 428a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = 3. Suppose -3*h - 5 = -5*i, 0 = 2*i + 2*i + 2*h + 18. What are the prime factors of (-86)\/t - i\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -6*t - t - 16*t**5 - 12*t**4 - 47*t**5 + 24*t**2 + 17 - 5*t + 109*t**3. Find r, given that j(r) = 0.\nAnswer: -1, -2\/7, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.1 (c) -3 (d) 0.048 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmppltthqpmpmtp. What is prob of picking 1 l, 1 p, and 1 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2229617*0.2\nAnswer: -445923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14343 < 14342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:46 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + 2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1098 - 1085 = -48*x + 45*x, -4*x = 2*g + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**18\/z)\/(((z\/z**40)\/z)\/z))\/(z\/z**(-11)*z)**11)**(-2\/39) assuming z is positive.\nAnswer: z**(56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 6*y - 3*y**2 - 36 - y**2 + y**2 to s + d*y**2 + x*y and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 1. Let m be z(-5). Suppose m + 103 = 3*d. Calculate the remainder when 113 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28*(81\/12)\/9. Let i = x - 19. Calculate the lowest common multiple of i and (-9)\/((-1)\/2*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 14 - 2*o - 2*o. Suppose -970*t + 782*t = 1316. Calculate f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32373 divided by -3\nAnswer: -10791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/975 + -6557\/1950. Find the common denominator of 103\/12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 8*j + 2. Suppose 0*m + 4*m + 14 = 2*t, 2*t + 7 = -3*m. Let s be b(m). What is the closest to -2 in 1, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.03197.\nAnswer: -2.03197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2861 + -2829 + (-54 - 2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + -11211021?\nAnswer: -11212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3 and -28\/21211.\nAnswer: 63633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 682694 >= 683387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.39 and -0.165.\nAnswer: -0.39435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let x be -1 + 5\/((-15)\/(-12)). Suppose x*c = 84 - 33. Solve -4*y = -u, 5*u = -0*y + m*y - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 79760 = -4*j + 8*j. Calculate the greatest common factor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**4 + 2*u**3 + 4200*u**2 - 310*u - 957525895?\nAnswer: 4*u**3 + 6*u**2 + 8400*u - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -5, 1.9784, 0.3, -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 3482001.\nAnswer: 24374007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/15 + 18224*o**4\/15 - 13819852*o**3\/5 - 249322592*o**2\/15 - 41568962*o\/3 = 0.\nAnswer: -5, -1, 0, 4559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -14 - 22. Let p(g) = g**2 + 10*g + 12. Let i be p(m). Let a(j) = 2*j**2 - 4*j. Determine a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 3. Suppose 0 = -27*b + 23*b + 12. Let h = 1 + b. Let s be (2\/10)\/((-3)\/(-45)). Let l(j) = 5*j + 4. What is h*v(w) + s*l(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61150 divided by 12230\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-6)*(-13680)\/1425*(-2)\/(-6)*-3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**2 - 1490*z + 17316 = 0 for z.\nAnswer: -117, 74\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -1\/13 (c) -16528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3370*b = -11729*b + 5254*b - 6826*b - 816879 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377303 is divided by 1286.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (8 - -20) - -12) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -229.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 0*z**2 - 2*z + 8*z as r*z + i + q*z**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.09 + -1.91. Which is the biggest value? (a) 5 (b) u (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 4\/2 - (-3 - -5). Suppose 0 = -5*j + m + 1. Solve l = -d + j, -4*d + 0*l + 6 = 3*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 360 = 2*n + n, -5*n + 590 = 5*b. List the prime factors of b.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 339, 702, 1087, 1494, 1923, 2374, 2847?\n\"Answer: 11*t**2 + 330*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93984 + -15131356\/161. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228148.7km in centimeters?\nAnswer: 22814870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(12*h**2 + 12*h**2 + 0*h**2)*(0*h - 2*h + h) as b*h + v + d*h**2 + l*h**3 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 - 38*k**2 + 157*k wrt k.\nAnswer: -40*k**3 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 1)*(94*y - 171*y + 106*y + 202*y) to the form w*y + f and give w.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, -5.\nAnswer: -9, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4115707?\nAnswer: 4115707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -p, 3*r + 13 = p + 5*r. Suppose p*n + 3 = 15. Let l be ((-80)\/15)\/((-2)\/3). Solve n*y = -0 - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/129)\/(-2*(-1)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/18 and 109\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 21, -1141980 in ascending order.\nAnswer: -1141980, -0.3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + -5 + sqrt(171) + 1.\nAnswer: -4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.33173 millimeters to micrometers.\nAnswer: 5331.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312 + -325 + (-3 - -3) + -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 4.\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.10153 + 730?\nAnswer: 45.89847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(-30)\/(-4). Solve -3*x = -7*x - 12, q + 11 = -i*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**6\/(l*l**0)**(-9\/7) assuming l is positive.\nAnswer: l**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6823\/2368 - 112873189\/39221184. Calculate the common denominator of x and 23\/14.\nAnswer: 231882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**2 + 2*o**3 - o**4 + 36*o**2 - 16*o**2 - 3*o**2 + 4*o - 3 to the form f*o**2 + h*o**4 + a + b*o + m*o**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 908603\nAnswer: -160\/908603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:43 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101955514.\nAnswer: 2, 4673, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*t + 6 - 14 - 12 + 25*t with respect to t.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21598201458 + -543.21598272658. Let a = u + 543. What is a rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97401000 to the nearest 1000000.\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 12) to base 4\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3989, -3988, -3987, -3986, -3985, -3984?\n\"Answer: i - 3990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from fpfppppp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 114, 0.07, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7335 = -16960. Let b = 29243\/6 - r. Calculate the common denominator of -103\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 6 + 106 + -104?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(-1))\/x)))**(1\/21)\/(x**(-1\/2))**(-28\/9))\/(x**(-2\/9)*x*x**(-2\/21))**33 assuming x is positive.\nAnswer: x**(-1514\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(39*g + 274 - 274)*(-1 - 4 + 2) - 4*g - 6*g + 4*g to n + a*g and give a.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 51*a**4 + 57*a**4 + a**2 + 16*a**2 as x + j*a + d*a**3 + c*a**2 + z*a**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2583462 and 97\/1845330.\nAnswer: 12917310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1031 + -2?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -100*b - 42. Let o be x(7). Let u = o - -1184. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35093170 a multiple of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdddgadsdddjdgtdjdd. Give prob of sequence jast.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(0*x + x - 3*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453920 is divided by 680?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 0.036\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/638704 and 23\/2571624?\nAnswer: 97721712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:10 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2517 and 55351347?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -160, -275, -390?\n\"Answer: -115*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/4, -1, 3, -311?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*f**2 - 6\/7*f + 0 = 0. What is f?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011 (base 2) in base 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731101 (base 8) in base 11?\nAnswer: 314a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(2\/5))**(1\/5)*u**1\/((u\/(u\/((u\/(u\/(u\/(u\/u**(-3)*u)*u)))\/u)))\/u*u)*(u**0)**2\/(u*u\/(u\/(u\/u**0)))**(-48) assuming u is positive.\nAnswer: u**(2542\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -16*o**4\/3 + 256*o**3\/3 - 362*o**2 + 496*o\/3 - 5663. Let m(x) = 0. Calculate x.\nAnswer: 1\/4, 4, 31\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let r = 6 + -6. Let w(x) = 0 + r - 5*x + 6*x. Give w(f(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*h + 27*h + 5024. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -25. What is the third derivative of 2*r**2 + 0*r**6 - r**6 - 11*r**y wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -z + 78 = -s*z. Is 8\/(-12)*1*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 18. Let r be u(-5). Solve -2 = q - 3*z, -7 = -6*q + r*q - 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1128\/((-21996)\/117))\/(2124\/2)?\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, -1 in increasing order.\nAnswer: -39, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6 and -11\/269449952.\nAnswer: 808349856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*l - 42146, 3*l - 5547*d - 42122 = -5552*d. Calculate the highest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*u. Let t be 29\/(1\/(-2)*u). Solve -5*i = -o - o + t, 5*o + i = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39\/11, 1.04, 1, -26 in descending order.\nAnswer: 1.04, 1, -39\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*z + 5 + 8 = 0, 2*d + 1 = 5*z. Let i(t) = -14*t**3 - 3*t**2 + t - 1. Is i(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -675186 (b) -1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964310090?\nAnswer: 2, 3, 5, 43, 293, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 8*s, 5*k = 3*s + 15. Solve 5*j - 2*j = k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -12, 1, 4 in decreasing order.\nAnswer: 5, 4, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 109 and 111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-2)\/(4 - 3). Suppose -7*g + y - 4 = 0. Solve g*z - 4 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40112469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 325 + -323. Let i(z) be the third derivative of -3*z**y + 0*z**3 + 5\/24*z**4 + 0*z + 0 + 1\/30*z**5. Find the second derivative of i(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = -28*x + 32*x, -i + 4*x - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3956 + 3960. Solve a*r + 7*j - 4*j - 32 = 0, -r - 5*j + 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1091 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 5*h + 34, -2*h + 224 = 5*w. Let d = 89 - w. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -75\/1859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 153.88. Let x = 5.12 - a. What is the closest to 1\/6 in 2\/7, -0.3, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/434616 and 125\/8358?\nAnswer: 434616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 4. Solve 7 + 1 = 2*g - 2*o, z*g - 5*o - 17 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let w(k) = 370*k. Give w(v(o)).\nAnswer: 370*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, 2, -2, -15, -9, 4 in increasing order.\nAnswer: -191, -15, -9, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 36*h + 2. Let a be c(-3). Suppose 3*u = -12, -2*n - 3*u - 2*u = 164. Let z = n - a. Calculate the highest common divisor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -6510999400.4081\nAnswer: 6510999394.4081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:04 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 473*b**2 + 158*b**2 + 146*b**2 + 169*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 22*w**2 + 2*w - 13. Determine n(22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-168))\/(5*(-13)\/6630).\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 + 127*o**3 - 46*o**3 - 39*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051350234.\nAnswer: 2, 3, 11, 73, 218213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let u(h) = -h + 5. Calculate o(u(m)).\nAnswer: -2*m**2 + 20*m - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66 - 7)\/((-1)\/(-200000)). What is p rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2903 + -2764. Calculate the greatest common divisor of 139 and u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6078 is divided by 57.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72587.\nAnswer: 29, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 1899118494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 6*w + w)*(-2 + 2 + 2*w) - 2*w**2 + 4*w**2 + 0*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 16*y - 15*y + 6, 4*y - 56 = -4*g. Solve c - 12*m = -y*m - 18, -4*m + 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3 + 9. Suppose 0 = -j + 5*m - 7, -m = -3*j - 3*m + 13. Let d be j*(1 - 0) - 3. Solve -p = -3*w - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*o - 399*o = -1853 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doooddddjdodoedoodmo. What is prob of sequence omoe?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 40\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**14\/a**(10\/7))**(8\/3))**(-5\/4))**(2\/21) assuming a is positive.\nAnswer: a**(-1760\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:17 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 1\/2 (c) 1\/23 (d) 2\/9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**35\/(((w\/((w\/w**(-4))\/w))\/w)\/w*w*w\/(w\/(w*w\/((w**5*w)\/w)*w))))\/((w**(1\/3))**14\/(w\/((w\/(w*w**(-1)\/w)*w)\/w))**(-6\/23)) assuming w is positive.\nAnswer: w**(-2305\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-8) - ((-387335)\/52 - 9).\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(-18)\/((-1728)\/120)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22587654\/54 + -18 - (-20)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/42 - 31\/(-186). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k**2 - 500*k - 13. Let x(w) = -5*w**2 - 170*w - 5. Give -3*b(h) + 8*x(h).\nAnswer: 2*h**2 + 140*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2132 = 4*y, -10 = -5*y + 15. Let w = g - 670. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36d38c + 1bd?\nAnswer: -36d1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030 divided by -7?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 82fd6e (base 16) to base 8\nAnswer: 40576556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 16*n**5 + 11868*n**4 - 166642632*n**3 - 62598692404*n**2 + 445446815545680*n - 111357788864400 = 0.\nAnswer: -2490, 1\/4, 2119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/(-8))\/(2\/80). Let s = 201 + r. What is the highest common divisor of s and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (42 + -86 + -13).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -1993*y**4\/6 + 4363*y**3\/3 + 2525*y**2 + 4*y. Differentiate i(m) wrt m.\nAnswer: -7972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 39381.102.\nAnswer: 39380.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 39 = -44. Let x(l) = l**2 + l. Let u(k) = 5*k**2 + 5*k**2 + 6*k + 0*k. Determine a*u(z) + 6*x(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 24 + -2 - (-72 + (39 - -28)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -291 + 289. Which is the fourth biggest value? (a) -4 (b) -0.01 (c) u (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 11. Let i be f(13). Let w be (-2 - (1 - 2))*i. Suppose -w + 1 = -4*z. Is z less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b3?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7031*k + 7035*k + 28 = -2*l, -91*k - 5*l = 394 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4065272 (base 8) to base 2\nAnswer: 100000110101010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/9)\/((-3)\/9). Factor 2\/7*t**m - 8\/7*t**4 + 4\/7*t**2 - 10\/7*t + 4\/7 + 8\/7*t**3.\nAnswer: 2*(t - 2)*(t - 1)**3*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 17 = 2*b, b + t = -2*b - 2. Let u be -1 + 42\/6 - b*4. Solve -4 = -u*o - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 2.2. Let b = 0.106389 - 0.038389. What is the nearest to -1 in b, k, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -151. Let x = 3.5 + -3. Which is the closest to 0? (a) 5 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = 66, -2*s - 7*g + 12 = -4*s - 3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 10*u + 0*u**2 - 2*u**2 + 6. Let d be 3\/(-6) + (105\/2)\/5. Determine p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**2 - 4*q**2 + 1 + 1 + (q + 1 + 1 + 0)*(q - 5*q + 2*q).\nAnswer: 2*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/9)*m*m*m)*m*m*m**(3\/7)*m)\/((m\/(m**(-9)*m))\/(m*m\/m**(-2)*m*m)))**19 assuming m is positive.\nAnswer: m**(-1748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose 14 + 1 = 3*h. Suppose -n = h*m - 9, n - 11 + 12 = 0. Solve -5 = -w - t*b, -5*w - 2*b - 12 = m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 21*s + 8. Let k(a) = -a**2 - 10*a - 4. Let i(o) = 5*k(o) + 2*z(o). Let r be i(-7). Suppose -r*w = 3*w - 5730. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 1 + 3 - ((sqrt(468)*2)**2 - sqrt(13)) - ((sqrt(13) + sqrt(65)\/sqrt(5))*-4 + -5 + (sqrt(13) - sqrt(208))).\nAnswer: -1863 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 361750212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*h - h - 53 = 0, -4*y + h - 59 = 0. Is (291*y\/36)\/(2\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 4, x: 1, b: 1, k: 3}. Give prob of sequence xz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.743, 3, -0.2, 5?\nAnswer: 0.743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzkk when four letters picked without replacement from {z: 3, u: 5, c: 2, k: 5, t: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.7. Which is the third biggest value? (a) y (b) -1.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -p - 0*p + 29, -p + 3*l - 11 = 0. Suppose -p*i + 0*b - 4*b = -120, -2*i + 5*b = -60. Let q be 99\/i + 3\/(-1). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 27*z**2 + 296*z + 10. Give q(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1559831 and 3172?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -28 and -30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -2433, -5648, -10173, -16014, -23177, -31668?\nAnswer: -41493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28718.92 millilitres in litres?\nAnswer: 28.71892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47499, 94997, 142495, 189993?\n\"Answer: 47498*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1365, -2863, -4505, -6291, -8221, -10295, -12513?\n\"Answer: -72*q**2 - 1282*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -7*k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33482, -33454, -33412, -33350, -33262, -33142?\nAnswer: -32984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 108. Let s be w(26). Solve -2*j + s*j - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r + 1. Suppose 2*s = -3 + 1. Let i(t) = -t. Let f(d) = s*g(d) + 4*i(d). Let b(v) = -6*v**2 + 2*v - 6. Give b(x) - 4*f(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -38488 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxmymmxymmmmxxm. What is prob of picking 2 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(24\/33)*-6. Suppose 85 - 30 = 5*p. Calculate the highest common factor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(((-12)\/9)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 14, i: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 8. Let k be x(-4). What is the smallest value in -0.1, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 7. Let t be c\/3*(-3)\/1. Suppose -3*m = t*l + 2500 - 9890, 2947 = 2*l + 3*m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356 - 355. Let p(u) = -6*u**2 - 8*u - 1. Let l(j) = -j**2 - j. Let b(o) = o**3 - 5*o**2 + o - 10. Let h be b(5). Calculate h*l(z) + t*p(z).\nAnswer: -z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 - 1\/480*j**6 + 0*j + 0*j**5 - 3*j**2 + 0*j**4 + 0*j**3. Suppose s(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b + 15. Solve -b*l + 2*l = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, -3, 5, 35 in descending order.\nAnswer: 35, 5, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (223 - 220)*(4\/(-18) - -1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(12)\/sqrt(6)*-3 + 4)**2 + sqrt(242) + (sqrt(242) - (-1 + sqrt(242))) + sqrt(242) + (sqrt(32) + -5 + sqrt(2))**2.\nAnswer: -52*sqrt(2) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose 0*q = 5*h + 2*q + 12, 0 = -3*q - l. Let j = 7 - h. Solve 5*u + 2*y + j = 35, y - 7 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 9, e: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 44761.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/48*4)\/((-11)\/(-33))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-66)\/(-14). Suppose -x - d = 1. Let z(l) = -l**2 - 9*l - 6. What is the units digit of z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 + 4*s - 8. Suppose 2*z = -2*x - 12, -x + z = -z + 9. What is the remainder when 51 is divided by p(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/p**(-1\/27))*p*p\/(p**(-2\/17)\/p) assuming p is positive.\nAnswer: p**(496\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*l - 31, 5*i + 2*l = l + 25. Solve -5*w = -2*m + 6*m + 30, -8 = i*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78780.\nAnswer: 2, 3, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 565*w + 54 - 19 to the form u + q*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100110011101101011001 + 1?\nAnswer: -10110100110011101101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 10, z: 1}. What is prob of sequence qq?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 22*f + 85. Let j be m(-5). Solve -45*t + 46*t + 3 = 4*g, j = -2*t - 3*g + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c**(6\/11)\/c*c)\/c))\/c)\/c**(3\/16))**32 assuming c is positive.\nAnswer: c**(94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97759494 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 13. Suppose 1 = 3*d - 4*d. Let w be d\/(-4) - (-39)\/4. Let m be i(w). Solve -8*j - 5 = -m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17407063 + 0?\nAnswer: 17407063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvxetea. What is prob of sequence xexx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 19 = -191. Let n = 73 - 38. What is the highest common factor of n and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -122. Let p = -9599\/15 - -640. Is p >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, -5, -287.\nAnswer: -287, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h*(h*h*h**4)\/h))\/(h**(1\/2))**(-42) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3 - k**2 + k + 3 - 1. Let o(v) = -2*v**2 - v + 6. Let u(w) = 4*w**2 - 8. Let h(q) = 3*o(q) + 2*u(q). Calculate 3*d(c) + h(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Let y = c + -1. Solve -y*d = -d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 266 (c) -4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 15. List the prime factors of (p + -3)*10\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97791556 and 190.\nAnswer: 488957780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -257. Let k = -98 + a. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 5656?\nAnswer: 28280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.5308 millilitres in litres?\nAnswer: 0.8245308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3840?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**3 + u - 1. Let d be k(1). Let r(t) = 7*t**2 + 5*t + 1. Let p be r(3). Suppose -5*j = -d*j + p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2587561 = -h, -3*s + 2*h - 1293788 = -5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 79 (b) -0.5 (c) -0.3 (d) -3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j + 37. Suppose 6*h = 8*h + 8. Let u be s(h). What is the greatest common divisor of 95 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-24) - 2\/16*2. Let z = 0.163 + -74.363. Let i = z + 74. Which is the nearest to -0.2? (a) i (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 1.1. Let r be (-147)\/(-28)*(-60)\/20*(-1)\/15. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 9*m + 10. Let t = -56 - -64. Let d be o(t). Suppose -7*f = 4*f - d*f. Solve 5*w + 5 + f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.96 + 0.04. What is the biggest value in 0.2, 2\/3, -4\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1221902 or 9?\nAnswer: 1221902","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141 is divided by 310.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2\/7*t**3 + 8\/7*t**2 + 0 + 24\/7*t = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {z: 1, d: 4, q: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -513. Let s = 478 + a. Calculate the lowest common multiple of s and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*o - 15500 = 1720 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5356 and 0.148.\nAnswer: 792.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b - 229*b**4 - b + 229*b**4 + 149*b**2 + 164*b**5 wrt b.\nAnswer: 9840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 15*y**2 - 14*y + 29. Let b be t(-6). Suppose -b*j + 23 = -2*j + 4*h, 15 = 5*j - 5*h. Solve 3*m - j = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -899 + 906. Which is the biggest value? (a) -2\/5 (b) -3 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*y = -5*q + 22, 0 = -q - y + 8. Suppose -q*d + d + 4 = 0. Let x be d\/(-6)*(-11 - -5). Solve 0 = b - x*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -805292*a**4 + 8*a**3 - 5*a**2 + 20297*a - 10.\nAnswer: -19327008*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 25*j**3 + 45*j**2 + 35*j + 10.\nAnswer: 5*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - -4) + 8 - ((52 - 146) + 105)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -665 + -307.62867.\nAnswer: -972.62867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 36\/5 of a minute?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 3825, 5745, 7669, 9597?\nAnswer: 11529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/(10\/4). Let d = 4952 - 4949. Sort d, a, 13\/2 in ascending order.\nAnswer: a, d, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210335.17 take away 15.4?\nAnswer: 210319.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 16498?\nAnswer: 11\/16498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2301*t - 569*t + 5778 = 19*t. Factor 14\/9*i - 20\/9 + 2\/3*i**t.\nAnswer: 2*(i - 1)*(3*i + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(450)*-2)\/(sqrt(50)\/sqrt(5)*-2))\/(((3*sqrt(180) + sqrt(180))*5)\/sqrt(5)))**2.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 91*u + 4*o, o + 9 + 3 = -4*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26*-1 - (17 - (129 + -98))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:50 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 15*n**2 - 14*n - 29. Let c be k(16). Solve 2*i - 8 = 3*r, -4*i + 8*r = c*r - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(95) - -5*(sqrt(95)*-3 + sqrt(95) - sqrt(95)))\/((sqrt(1620)*-1)\/(2*sqrt(225) + sqrt(9))).\nAnswer: 187*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -677, -1189, -1343, -959, 143, 2143, 5221, 9557?\n\"Answer: 30*u**3 - u**2 - 719*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 12. Let s(z) = -z - 12. Let w(a) = 5*s(a) + 4*y(a). Let i = -1 + 3. What is the remainder when w(i) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2010*r**4 + 2*r + 392 wrt r?\nAnswer: -24120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3761458.\nAnswer: 2, 1880729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*a = 492, 3*i - a + 102 = 602. Calculate the common denominator of ((-159)\/i - -1)\/((-3)\/468) and -53\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 168874*r**2.\nAnswer: r**2*(r - 168874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (4 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbv when three letters picked without replacement from betbbzbvbwb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) 1215 (c) 2\/7 (d) -1\/2 (e) -0.3 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 4*y - 1. Let l be n(3). Suppose l*v + 2*v + 20 = -b, 3*v = -4*b - 15. Suppose 3*d + d - 8 = b. Solve -5*h + 17 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.06 (c) 1\/8 (d) -56\/71 (e) 5 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (0 - -2 - 4 - -62). Let l be 3 + (-452)\/8 + 2\/(-4). Let o = i + l. Solve 2*a = a - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 - 136655*t = 0.\nAnswer: -27331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -11 + 10 + 31 + -17?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1885 + 869 + 1017 + 12*b. Let z(q) = 3*q + 2. Calculate k(z(a)).\nAnswer: 36*a + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/3)\/(l**(8\/7)*l) assuming l is positive.\nAnswer: l**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -604 times 34.8\nAnswer: -21019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440.11 + -435. Let l = v + -0.11. Which is the smallest value? (a) 0.4 (b) l (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 614730583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p + 270. Determine q(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1023*10\nAnswer: -1.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 at most -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 105 + 4 - (9 - (16 + -26))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18051975.\nAnswer: 3, 5, 80231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o**2 + 9*o. Let y(p) = p**2 - p. Let t(i) = -2*d(i) - 18*y(i). Let x(h) = -37*h**2. What is x(t(m))?\nAnswer: -148*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10681, -16278, -21875?\nAnswer: -27472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.0922153 - -9.03122. Let t = -0.771 - -0.71. Let o = t - u. What is o rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 3 + -3 + -12 - 29?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120e (base 15) to base 3.\nAnswer: -12021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5641 = 6*h, -5*t - 4695 = -6*h + h. Which is greater: h or 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a5 (base 13) to base 8\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 51*g - 101*g + 49*g as t + c*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9790030 divided by -67055?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 9*h**2 + 5*h**2)*(-4 + 4 - 2*h**3 + 0*h**3 + 0*h**3 + h**3 + (-2 + 2 - h)*(-h**2 - 2*h**2 + h**2)).\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 219, 216, 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-145)\/20 - 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 bigger than 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0*q + 4*q)*(7*q**2 + 3*q**2 - 4*q**2) + (0*q**2 + 0*q**2 - 2*q**2)*(0*q + 2*q + 0*q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 396090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7166 - 0.0266. Let k = z - -16.41. What is k rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 less than 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 32*n**2 - 104*n - 924. Let w be i(27). Is w greater than -1322\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26ca6 (base 14) to base 10.\nAnswer: 95794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n**(4\/9))\/(n**2)**(5\/16))**39 assuming n is positive.\nAnswer: n**(8255\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 13*q**3\/3 - 2*q**2 - 4*q + 18. Let y be c(-2). What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28367791?\nAnswer: 28367791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12693 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 97316 + 97372 - 194688.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418358.4ug to tonnes.\nAnswer: 0.0000004183584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.4, -34\/7, 1\/6.\nAnswer: -34\/7, -4, 1\/6, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4673 + 6822. Let n = f - 2148.999998689. Round n to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -8, 12\/47, 0.6, -5, 5.7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 8. Calculate the lowest common multiple of 30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 4*x, 5*h + 5*x - 1055 = 0. Calculate the remainder when h is divided by 0\/(-2) - -1 - (-4158)\/99.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 - 7*l - 10. Let n be q(-5). Let d = 102 + -227. Do n and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115620005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k + 7. Let t(c) = 11 - 4 - 3 - 7*c. Calculate -4*m(i) + 7*t(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259859?\nAnswer: 53, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -26 + 436\/16 + -1 + 10\/8. Solve s**2 - 1 - 3\/2*s + f*s**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/135 - (-12)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 21*j - 9 = 0. Solve j*a + 16 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044849 to the power of 1\/2, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + (-110)\/780. Let b = 4\/13 + w. Suppose 2\/3*d**2 - d**4 + 1\/3*d**5 + b + 2\/3*d**3 - d = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.827 - 1998.373. Let h = -1969.561 - n. Let q = -0.061 - h. What is q rounded to 0 decimal places?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17252144 and 205?\nAnswer: 86260720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c78 (base 16) in base 7?\nAnswer: -553652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4781*r*z**3 - 6822*r*z + 2*z**3 - 2*z wrt z?\nAnswer: 28686*r*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23391 is divided by 83.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((1*6*16\/(-320))\/((-9)\/6))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4804248 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -21*d + 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*(-5 - -5). Calculate the common denominator of -1 + h + 445\/20 and -5 + 7 - 86\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3659 in -959, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12008958 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 112*i - 117*i + 3*g, -2*g - 4 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-374)\/(-122) - 1\/3) + -2. Let i = x + -4\/61. Factor 0*v + 0 + i*v**3 - 2*v**2.\nAnswer: 2*v**2*(v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 4, b: 2, r: 6, x: 1, s: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777168 divided by -97146.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017235096 rounded to 7 dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*w**5 - 1038*w**4 + 5038*w**3 - 1752*w**2 - 10575*w - 2754 = 0. What is w?\nAnswer: -153, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 69 (c) -1 (d) -4\/29 (e) -2 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*w + 2*w. What is the remainder when (-72)\/21*(-35)\/10 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*s. Suppose -d = -2 - s. Suppose -12*f + 52 = 4. Calculate the lowest common multiple of d and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 2*a - x - x, -2*a = 5*x + 308. Let t = -75 - a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3772.8 - 3773. What is the nearest to -3\/2 in -2\/305, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -602 - 513a3?\nAnswer: -519a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759.\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 71005.9, -14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + (-7)\/4. Let f be (-3)\/2*(-12)\/9. Let d = f + -1. Which is the closest to 1\/4? (a) 2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + 4194. List the prime factors of s.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0)*(-165)\/(-550). Factor 3\/5*t - 3\/5 + s*t**2 - 3\/5*t**3.\nAnswer: -3*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161057.513 take away -11420?\nAnswer: -149637.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40972 is divided by 2156.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 - 2*h**2 + 2. Let o(y) = -5*y**3 - 3*y**2 + 3. Suppose 5*l = 2*z - 16, -15 + 3 = 2*z + 2*l. Calculate z*o(q) + 3*b(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -2*z, 2*w - 4*z = -0*w + 26. Suppose -3*d = -2*b - 18, -4*d - 7*b + 10 = -w*b. Solve 4*y + d = -16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 5037db6?\nAnswer: 5037dae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2485.49655 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338421755?\nAnswer: 5, 7, 1867, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 957542720 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - 234. Solve -14*t + f*t + 2*p = -9, 0 = 4*t + 4*p + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*(-8)\/42*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r - 7. Determine b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 157 times 3\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-84)\/(-2))\/(5 - 6). Let z be (-4 - -3)\/((-2)\/g). Let a be -2 + -1 - 72\/z. Sort 1\/5, a, -1 in descending order.\nAnswer: a, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let q be (-7)\/((-14)\/4) + v. Suppose -2*b + 7 = -s - 5, 0 = q*b + 4*s - 17. Solve 6 = 3*o, b*o = f + 6*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5770\/290 + -20)*16\/12?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddjjjoojjoo. Give prob of sequence jjo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-81)*(-4)\/10*1260\/56?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.053 or 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3\/2, -31\/12, -2\/7, -1\/8?\nAnswer: -31\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 + p. Let b(n) = -n**2 + n. Calculate 5*b(o) + s(o).\nAnswer: o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0.3. What is the third smallest value in i, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 11*x + 17. Let z be v(-12). Let p be z\/(-10)*-2*1. Solve 0 = 4*f + p - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5900\/129 or 47?\nAnswer: 5900\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134872 (base 11) to base 4.\nAnswer: 303212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13664 + -13659. Let m be (-2)\/(-7) - 24\/(-14). Put u, -5, m, 4 in descending order.\nAnswer: u, 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178363259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -726794 by 1587.\nAnswer: -726794\/1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9794 + 4249 - 4*o + 5536.\nAnswer: -4*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7137\/1053 + (-16)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hjjjjhjjhj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172.92 - -164. Let x = j + 0.52. Let i = x - -7.9. What is the biggest value in i, 4, 0, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 times 12?\nAnswer: -5796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -38. Let o = 48 + y. Find the third derivative of -6*v**2 + 21*v**o - v**4 - 2*v**2 wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - 7*o**5 - 8*o**5 + (4*o + 0*o - 2*o)*(41*o + o + 2*o**4 + 145*o + 9*o).\nAnswer: -10*o**5 + 392*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-12)\/27*3. Suppose -5 = y*d + 3*g + 8, -g - 8 = 5*d. Is d not equal to -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1895649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -158. Solve -5*p + 2 = 2*x, 3*p - 2*p - 3*x = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533, 3014, 4495, 5976?\nAnswer: 7457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 154*i**2 + 0.\nAnswer: -154*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/21*1*33. What is the units digit of 3\/((-9)\/(-1446)) + (18 - b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**3 + 16782*g**2 - 31962*g - 3364.\nAnswer: 2*(g - 2)*(g + 841)*(10*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let o = 0.11 + -0.51. Let m = 2.95 + 0.05. Sort i, m, o in descending order.\nAnswer: m, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003949 rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11707, -11706, -11705, -11704, -11703, -11702?\nAnswer: -11701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 5*w - 42)*(-w**4 + 5*w**4 - w**4) + 13*w**5 - 395 + 398 + 0*w**5.\nAnswer: 28*w**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-44)\/60*-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1135731*f**3 - 133*f + 117.\nAnswer: -6814386*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 242 - 252 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**8\/1176 - 2*n**7\/245 - n**6\/30 - 8*n**5\/105 - 3*n**4\/28 - 2*n**3\/21 + 35*n**2. Factor g(j).\nAnswer: -2*(j + 1)**4*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(1 + -1) + 3. Suppose -2*r - y*r + 185 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 616 (b) -1\/1307 (c) -11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**3 + 149560*b**2 - 56155260*b + 5238526320 = 0.\nAnswer: -30284, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-2)\/(-28)). Suppose -7*p + 58 = -75. Let y = p + c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1058, 2, 1, -76, 3, -2 in ascending order.\nAnswer: -1058, -76, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 887, 1792, 2695, 3596, 4495, 5392?\nAnswer: 6287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 127\/(-35) + (1*3\/(-15))\/((-1812)\/(-7248))\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -293*k**4 - 282*k**4 - 88*k**4 + (5*k**2 + 2*k**2 - 5*k**2)*(-3*k**2 + 2*k**2 + 3*k**2) + 2*k**2 - 2*k**4 - 2*k**2.\nAnswer: -661*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 417*l + 817*l + 1059*l - 313*l + 2279*l to p + w*l and give w.\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvl when three letters picked without replacement from lvlllllvlvlvvl.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = o - 1883 - 1959, 4*v = -3*o + 11556. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2852514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 6 + -4 + 0. Let c = 24 + -20. Let g be (2 + 0)\/(c\/8). What is the highest common factor of g and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1802, 3608, 5412, 7214, 9014, 10812, 12608?\nAnswer: 14402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(75))**2 + sqrt(147) + -2.\nAnswer: 37*sqrt(3) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*b**4 - 19*b**4 + 27*b + 38*b + 38*b + b**2 wrt b?\nAnswer: 2304*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -39*i. Let w be k(-1). Suppose -10*o = 19 - w. Suppose 3*m - o - 88 = 0. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 21*p - 132*p + 1954 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/(-9) + (-2)\/6. Let b = m - -9. Calculate the lowest common multiple of 76\/10 - (-6)\/15 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.43 - 0.92. Let c = b + -0.01. Round c to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.152775*-0.91.\nAnswer: -0.13902525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 8 + 17 = 0, -5*p - 5 = -4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (12 - 5) + (-3 - 2) + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5 = -15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2888 and -53\/4332?\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3180*c**2*o**4 - 5438*c**2*o**2 + 3*c**2 + 28*c*o - c + 42*o**5 - o**3 wrt o?\nAnswer: 76320*c**2*o + 2520*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-8\/9))**(-2\/11) assuming y is positive.\nAnswer: y**(-32\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*u**3 + 10 - 11 - 2*u**4 - 131*u**3 - 3*u**2 + 6*u + 36*u as l*u**4 + w*u + c + t*u**2 + r*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 25. Let s = 10 - p. Suppose 3 = -3*w + 4*l + 25, s*l + 20 = 0. Sort w, 0, -4 in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let z(i) = 2*i**2 - 5*i - 14. Let o(s) = -3*l(s) + z(s). Let f(w) = w**2 - 5*w - 9. Determine 8*f(h) - 5*o(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2 + sqrt(75))*-1 - (-1 + 4*(3*sqrt(75))**2))*-2.\nAnswer: 10*sqrt(3) + 5408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2 + 14*z**2 + 4*z - 23*z**2 + 10*z**2. Give r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1024633 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b - 100*b + m - 97 = 0, 9*m + 67 = 2*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-34))\/((-45)\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*1*-6 + sqrt(11) + -2 + -3 + -2)**2 + 0.\nAnswer: 70*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/4*-9 - 3. Let r = d - 29. Solve 3*q = 6*q + 5*i + 20, 0 = r*q - 5*i - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-8)\/10) - 6136\/(-1888). Find o, given that -10\/3*o**d - 8\/3 + 17\/3*o + 1\/3*o**3 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 83*z + 3663. Calculate the remainder when 753 is divided by v(-42).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192254.1284 rounded to the nearest 100?\nAnswer: 192300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*r = -22, 3*z + 6*r - 7*r = 7. Solve 4*l = 5*j + 21, -j + z + 15 = 5*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -446 - -523. What is the highest common factor of 77 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) 0.479 (b) 0.5 (c) 3 (d) -5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -54067 divided by -13\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - 3*x**3 + 3*x**3 + (3*x - 6*x + 2*x)*(41*x - 41*x - 26*x**2) + 6*x**3 + 5*x**3 - 2*x**3 to the form y*x**2 + a + d*x**3 + q*x and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 20.7. Let k = q - -0.3. Which is the biggest value? (a) -2 (b) -2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 - -2)\/1. Let a be -1*(-2 + 2) + c. Suppose 8 = a*v - 5*v. Let w(h) = h**2 + h - 5. Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 348. Calculate the remainder when h(28) is divided by 113.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4\/12 + 64*n. Let z(s) = 48*s. What is z(b(a))?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**3 - m**2 - m - 1. Give v(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 10*h**3 - 9*h**2 - 22 - 33*h**3 + 33.\nAnswer: -46*h**3 - 9*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 3229 = -8*h. Suppose -v - h = -4*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**6\/30 - 5*s**4\/12 - 104*s**2 - 128*s. What is the derivative of f(r) wrt r?\nAnswer: -4*r**3 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 + 7*c**2 - c**2 + c - 2*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 632 = 2*p + u, 948 = 3*p - u. Let h = -265 + p. Calculate the greatest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -1\/7, -940 in descending order.\nAnswer: 4, 0.5, -1\/7, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 312, 1131, 2744, 5415, 9408, 14987?\nAnswer: 22416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2 = -4*l, -5*h - 26 + 38 = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -48, -40, -32, -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.0663?\nAnswer: -0.0663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -20. Let h = 109.9551 + -110. Let c = 0.0449 + h. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2841057 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-100))\/(53\/2385)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/9 - 44251021*o\/3 - 132753064\/9 = 0.\nAnswer: -1, 132753064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/4)\/g**(2\/5))\/(g*g**(-1\/3)\/g)**(-4\/7))\/((((g\/g**(-3))\/g)\/(g*g*g**(-2)))\/(g\/(g*g**(-8))*g**(-1))) assuming g is positive.\nAnswer: g**(907\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*t)*(-3*t**3 + 0*t**3 + 2*t**3) - 299*t**2 + 299*t**2 - 6*t**4 to i*t**4 + k*t**2 + c + f*t**3 + w*t and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 33*w**2. Let u(z) = -5*z**2. What is i(u(n))?\nAnswer: 825*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = 2*o, 0 = 5*o - 4*f + 5*f - 8. Let y(g) = -g**2 - 5*g - 1. Let m be y(-4). Solve 0 = o*u - u + m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 366*r\/11 + 14884\/11.\nAnswer: 2*(r + 61)*(r + 122)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 12512.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303020 by -10.\nAnswer: 30302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 116 = -20. Let c be (-4)\/14*(-21)\/k. Let m = -5 - -1. What is the nearest to c in -0.5, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:52 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*a + 3*p - 25, -a - 2*p + 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -2. Let b be 39\/y - 8\/(-12). Sort b, 3, 8.\nAnswer: 3, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -2. Suppose -b + 2*u + z = 3*u, -74 = -5*b - u. Is 2 a factor of 134\/b - 24\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8525.907919 - 0.01.\nAnswer: -8525.917919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.6 + -19. Let u = m - -0.4. Which is the closest to 0.1? (a) -0.4 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/186 and -4\/5.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*y + 11*y + 5*y + 214873 - 212530 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-40)*80\/(-48). Let g(c) be the second derivative of 0 - 1\/24*c**4 - 1\/2*c**j - 1\/4*c**3 - 3*c. What is h in g(h) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Let d be 2 - -1 - (-12)\/15*-5. Let m = d + g. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*s**4 - 2*s + 2 + 3*s**3 - s**3 + 26*s**4 to the form v*s + u + o*s**3 + c*s**4 + p*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 2. Let d be r(0). Let w be (-51)\/(-2)*d\/(-3). Let q = 25 - w. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7467 or -7589?\nAnswer: -7467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 8*c**2 + 6*c - 1. Suppose -m + 3*z - 5 = -0, 0 = z. Let l = 5254 + -5269. Let t be -7 - -6 - m\/(l\/18). What is f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 2007622.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 3*z + 8. Let q(g) = g**2 - 1. What is -c(h) - 5*q(h)?\nAnswer: -h**2 - 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 154\/42 + 7\/(-15). Solve -4\/5*y**2 + 4 - c*y = 0 for y.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 3*u + 2*u, 5*u + 5*g - 35 = 0. Suppose -u = -2*q, 3*z + 120 = 8*z + 5*q. Round z to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533102 is divided by 382.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11368526997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7) + -4 + sqrt(84)\/sqrt(108))**2.\nAnswer: -80*sqrt(7)\/3 + 844\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244 + 612. Let g = 5524\/15 - v. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 21 - (2 + -45 + 45)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 30*j**2 + 123*j - 990.\nAnswer: -3*(j - 11)*(j - 5)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**3 + 10*v**2 - 20*v - 40 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12902 in -20, -4, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(396)\/sqrt(4) - sqrt(55)\/(sqrt(5)*2 + sqrt(5))*-5)**2.\nAnswer: -140*sqrt(11)\/3 + 2381\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 50496*u - 1220. Let v(h) = -20199*h + 488. Let f(p) = -5*g(p) - 12*v(p). Let s be f(-18). What is s rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -977 - 1769b?\nAnswer: -18012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/13 (b) 1\/3 (c) -6 (d) 83 (e) -1.4 (f) -1 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12*a + 41 = 8*a, 12 = 4*q + 2*a. Let f(u) = -u**3 + 5*u**2 - 6. What is f(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/33)\/((-3)\/108*-6). Suppose 0 = -14*t + 16*t - 4. Solve t*x = y - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.8197688 + 11.9008. Let w = s - 0.081. Round w to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2116 and 0.1328?\nAnswer: -281.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 283476114.\nAnswer: 1700856684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:52 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21645 + -21641. Solve -68*r + 72*r = 5*v + 46, 0 = -4*r - 2*v + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 less than -509188?\nAnswer: -508993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 6003.105?\nAnswer: -6002.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/18*6*105\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 83, 276, 651, 1268, 2187, 3468?\n\"Answer: 10*n**3 + n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-17))\/p**(-11))\/(p**(7\/5)*p*p*((p*p**(-23\/2))\/p)\/p*p) assuming p is positive.\nAnswer: p**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 9, b: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 1 - (-53 - (-80 + 12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 5871.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5564 - 4285?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d - 4 + 3*d + 2. List the prime factors of n(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**6\/24 + 17*g**5\/12 + 125*g**4\/8 + 165*g**3\/2 - g**2 - 67*g. Factor f(h).\nAnswer: 5*(h + 3)**2*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537888 a multiple of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 10, v: 4, i: 3}. What is prob of picking 1 i, 1 v, and 2 j?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b - 4305 = -40*b - 11*b. Let t(p) = -p**2 - 7*p + 2. Let j be t(-7). Let l be j - -1 - (-10 - -8). What is the highest common factor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8) + 2 - 146\/((-57816)\/1045)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7694*n - 1. Let k(w) = 24*w + 3. Give k(i(r)).\nAnswer: -184656*r - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 165*j**2 + 80*j**2 + 40*j**2. Let g(p) = -17*p**2 + 2*p + 16. Let t(x) = 9*x**2 - x - 8. Let l(c) = -g(c) - 2*t(c). Give i(l(k)).\nAnswer: 285*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) 70349 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(-2\/7)*a)\/a*a)*a)**(-43)*a**(1\/5)*a*a*a**(2\/5)*a*a**(1\/3)*a**(-2\/7)*(a*a**2)**31 assuming a is positive.\nAnswer: a**(4343\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d*s**3*z - 12*d*s**3 + 19128131*d*s**2*z + 3*d*s**2 + 3*d*s + 16*d + 368*s**3 - 2 with respect to z.\nAnswer: 4*d*s**3 + 19128131*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.2 + 34. Let h = z - -32.3. Which is the second smallest value? (a) -3 (b) 15 (c) h (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let k = -33 + 35. Let d(p) = -12488*p**2 - 2 + 12452*p**2 + k. Give o(d(t)).\nAnswer: 1296*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6606 - -910013729.\nAnswer: 910007123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 13 - (-1 + 0)) + -4 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.022, 2\/5, 0.5, 2, -9, 3, -2\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153988.\nAnswer: 2, 137, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 11 = p, 116*z - 4*p + 4 = 110*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976778 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-1 + sqrt(931) - sqrt(931)) + sqrt(931)*-1*-5)**2 - (sqrt(931) - (sqrt(931) + 1 + 5) - (3 + (sqrt(931) + -1)**2)).\nAnswer: -154*sqrt(19) + 24220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.1379 to one dp.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -6 + 26\/14. Which is the smallest value? (a) 0.3 (b) k (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1 + 8112\/7696?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99))\/sqrt(3))\/(sqrt(33)\/sqrt(3)*-4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 133*f - 1103. Suppose 2*n = 2*i - 3*n - 202, 2*i + 3*n - 186 = 0. Calculate the remainder when i is divided by t(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 - -113?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiyyyyiyyyyiyiy. Give prob of picking 1 y and 1 i.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470342002?\nAnswer: 2, 13, 37, 488921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28348 - -28348.000057461. What is v rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 4, g: 1, m: 1, x: 8}. What is prob of sequence mb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10*b + 54 = -3*y, 3*y = -2*b - 18. What is the closest to 1 in b, 1.6, -0.01?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30191.24 decades to centuries.\nAnswer: 3019.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3603849*u**2. Let n(t) = -6*t**2. Calculate n(c(b)).\nAnswer: -77926365688806*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24511 - -20321?\nAnswer: -4150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 167. Let l be 58\/145*(x + 53). Calculate the greatest common divisor of 374 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**8\/140 - y**4\/8 + 4*y**3\/3 - 15*y. Let m(v) be the second derivative of p(v). What is the derivative of m(z) wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = -2*t. Suppose 0 = 5*n + 5*c, -2*n - 3 - t = 4*c. Let k be n*(-1 + 28\/20). Put k, -4, 3, 5 in ascending order.\nAnswer: -4, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 - j**5\/15 - j**4\/6 - 2*j**3\/3 - j**2. Let x = 66 + -69. Give w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/10 + 3*a**3\/10 - 3*a**2\/10 + a\/10 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 317, 614, 881, 1112, 1301, 1442, 1529, 1556?\n\"Answer: -q**3 - 9*q**2 + 331*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*t + 1. Let m be 1\/(-3) - 10\/(-3). Solve 3*s - 4*b - m = -2*s, -12 = t*s + 5*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiz when four letters picked without replacement from {z: 1, y: 9, i: 9}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2. Let o(j) be the first derivative of j**4\/6 - 5*j**2\/2 - 2. Let k(h) be the second derivative of o(h). Calculate k(i(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*t - t**2 + 66*t**3 + t**2 + 0*t**2 - 666*t + 169*t.\nAnswer: 66*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (14 - (4 + -1 - 9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-12)\/n*n**(-12)*n assuming n is positive.\nAnswer: n**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.2. Let k be 4 - 65\/10 - -1. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -6700.\nAnswer: -1\/1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 681 - 807 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -264219, -264244, -264269, -264294, -264319, -264344?\n\"Answer: -25*y - 264194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247825 < 247825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -13. What is the derivative of 0 + 2*g**2 - g**2 - t + 5 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (46134\/231 - (-2)\/7). Which is smaller: -190 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31202613?\nAnswer: 3, 13, 266689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 11.2056.\nAnswer: 7.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 199*f - 38. Let u(c) = -21*c + 4. Let q(a) = -57*u(a) - 6*v(a). Let o(l) be the first derivative of -1 + 0*l - 10\/3*l**3 + 0*l**2. Determine o(q(g)).\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93 minus 1094211.2?\nAnswer: -1094210.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 28. Let l be w(13). Find c such that -2\/3 + 8\/9*c**l + 2\/9*c = 0.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26612 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v**4 - 580*v**3 + 784*v**2 - 176*v = 0 for v.\nAnswer: -22, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33206 divided by -16603\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*k - 53 + 13 = 0, -5*a = 3*k - 40. Suppose -i - i + 4 = 0. Suppose -i = -4*l - 6, 4*q - 3*l = 27. Solve q*w = w - z + 20, a*z - 22 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -388158?\nAnswer: -388158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 236*d + 893. List the prime factors of w(50).\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3) - (-1 - 0). Let o(r) = -r**d - 8*r**2 + 3 + 1 - 5. What is o(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 7. What is the highest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232996099*b**3 + 549677571*b.\nAnswer: 1397976594*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttxj when four letters picked without replacement from jxjet.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l - 497. Let h be u(59). What is the highest common factor of h and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53308607 to the nearest integer?\nAnswer: 7301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 402?\nAnswer: 48240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 71. Suppose 3*y + 15 = -n. Is (-216)\/y - (-2)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 75897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.287 rounded to the nearest ten?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 12*u**2 - 14*u - 4. What is i(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.54 + 0.46. Let x = -300.2 - -339. Let z = x - u. Which is the biggest value? (a) -0.5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-3))\/((-1)\/(2\/(-4))). Suppose -3*j - 2*f = -c*f - 1558, -4*j + 3*f = -2049. Suppose j - 4*h - 516 - 4*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -86870\nAnswer: -173740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2181048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4623 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.043 - 11.957. What is the third smallest value in q, 1\/7, -0.02?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4924 and 4924.\nAnswer: 4924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2289\/2 + -1142. Solve 4*t**2 + 2*t + 0 - 7\/2*t**3 - o*t**4 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 140 + 19*r + 0*r**2 + r**2 - 20*r + (2*r**2 - 2*r**2 - 2*r**2)*(-2 + 2 + 2) + 0 + 0 - r**2.\nAnswer: -4*r**2 - r + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5170, 8945, 12708, 16459, 20198, 23925, 27640?\nAnswer: 31343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0988? (a) -5 (b) 0.3 (c) -0.2 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(24)\/(sqrt(48)\/sqrt(4))) + (sqrt(22)\/(-1*sqrt(11)))**2*-6.\nAnswer: -12 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 333007, 333069, 333131, 333193?\n\"Answer: 62*d + 332945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/5)\/(12\/(-18)). What is the second biggest value in 3, -0.4, 0.1, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*m**3 - 6*b**3*m*o - 4*b**3*o - 2*b**2*m**3 - 251*b*m**3*o - 2*m**3*o wrt b.\nAnswer: -6*m**3 - 36*m*o - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*v - 706, -2*k = -k - v - 694. Suppose o - 169 = k. Suppose o - 47 = 9*a. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oatoottaaoouuookou. Give prob of picking 1 k and 2 o.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 0*d + 3*d**2 + 0*d. Calculate the lowest common multiple of 14 and f(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19993848863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 4. Suppose -w + 25 = -d. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Let i = 721 - 716. Suppose -3*w + 2*w - 3 = 4*t, 0 = -4*t + 4*w - 8. Sort h, i, t in ascending order.\nAnswer: t, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/2 + -7. Which is the third biggest value? (a) x (b) 1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o**2 + o**2 - o**4 + 0*o**4)*(-3 + 1 - 1) - 906 + 906 - 55*o**4)*((-3*o + 2*o + 0*o)*(-1 + 1 - 2) - o - 5*o + 3*o).\nAnswer: 52*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3997 + -3998. Are d and -387 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 17. Calculate the remainder when 8 is divided by (-36)\/(-24) - 6\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n - 2*w = 113*n - 35, -4*w = -28. What is the remainder when n is divided by (-6)\/4*-2*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/10 - 18\/30. Suppose 0*u = 4*u. Suppose 0*w - w + 3 = u. Solve -k = -3*z + 5*y, 0 = w*z + 2*z - 4*y + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 926516*f - 21311984.\nAnswer: 4*(f - 23)*(f + 231652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78923584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11733 is divided by 2821.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + -1204?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*o + 22 = 0, 4*k + 5*o + 8 = 53. Suppose 0 = 2*q - 26 - k. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4452\/(-60) - (-298 - -227).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q**3 - 4*q**2 - 4*q - 4. Suppose 3*z = -66 + 60. Is 13 a factor of c(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.894663 litres to millilitres.\nAnswer: 3894.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*(-3 + -227). Let m(q) = 19*q**2 + 56*q - 2. Let d be m(-4). Let c = d + t. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 752385812*l**2 + 689046967.\nAnswer: 1504771624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178467441?\nAnswer: 3, 283, 210209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from bxhxxhvbvhh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3384, 6833, 10282, 13731, 17180?\nAnswer: 20629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from yziyicuu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:39 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w + 15. Let q(f) = -2*f**2. Calculate q(h(n)).\nAnswer: -882*n**2 - 1260*n - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*t + 2*o, 3*t + 4*o - 5*o = 10. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-926)\/1852)\/(111*4\/12)?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 138*v**2 - 85*v + 3453. Calculate x(-68).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3513)\/(-765) + -2 + -3. Let q be 2 - -128*(-8)\/510. Let i = m - q. Which is the nearest to 0? (a) 3 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3416.3 - -3419.3. Which is the biggest value? (a) -186 (b) u (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -o + 1423. Let k = o + -196. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/6 - 11*t - 31. Let v(r) be the first derivative of w(r). Let y(a) = 86*a. Determine y(v(g)).\nAnswer: -86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12863471475.00000039 - 12863471406. Let d = 5.5 - 74.5. Let q = d + y. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 21. Suppose 4*i - h = i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 124, -36.7, -5?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 29 = -l + 5*l + 34, -2*l = 1798*h - 1803*h - 205 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/172 and 81\/262.\nAnswer: 22532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16071318 and 10714212?\nAnswer: 32142636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 207, 298, 411, 552, 727?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (3 + sqrt(63) - sqrt(7)) - sqrt(21)\/(-2*sqrt(3))) + sqrt(77)\/((sqrt(11) + sqrt(55)\/sqrt(5))*1))*-2.\nAnswer: -8*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.007 and -147?\nAnswer: 146.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25*a**2 - 2*a. Let w(s) = 77221*s. Give g(w(q)).\nAnswer: 149077071025*q**2 - 154442*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 + 5*q + 2. Suppose 47*t + 15 = 52*t. Is 13 a factor of b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6*f + 33 = 0, 14*f - 333 + 472 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + w**3\/2 - w**2 - 757*w. Calculate l(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/6 - m**3\/6 - m**2 - 11*m. Let y be j(0). Let w be y\/(6\/(-9)) + -2. Solve 0 = -l - i - w, -5 = 5*l - 3*i - 2*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 16. Solve b = 2*p + 2*h - 8, 2*p + 4 = -p + 5*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + s + t + 25 = 0, 20 = -4*s - t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25023333 - -32?\nAnswer: 25023405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 0.02693.\nAnswer: -0.27307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -386765 + -1?\nAnswer: -386766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 1. Let p be w(1). Suppose 3*x = -p*f - x - 679, -272 = 2*f + 2*x. Is f\/(-2) + (-2)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838178724 to the power of 1\/3, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/13 - -41\/26. Let v = -6 - -4. Let x = v + 1. What is the closest to x in b, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 - 61*v**2 - 59*v**2 - 3*v**3 + 182*v**2 - 62*v**2 + 3*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -13*i + 45. Sort i, -4, 61, -2 in decreasing order.\nAnswer: 61, -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50385350 divided by -5\nAnswer: 10077070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10629 and 317689.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-25) + 2\/5. Find the second derivative of -m*y + 3*y + y**3 - 9*y wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Differentiate -u - 4*d**2 + 2 - 3 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*a - 2 = -3, 1 = -3*p + 5*a. Let u be p - (0\/2 - 5). Solve 0 = u*g - 5*w + 29, 6*g + 28 = 2*g + 4*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -23 + 46 + (-7 + 0 - 1) - 85?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 9, p: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2. Let q be 1\/5 - 555\/25. Let o(l) = -l**2 + l - 22. Determine q*r(i) - 2*o(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 5846*c**3 + 2*c - 3084*c**2 - 4 - 1 + 2 + 3682*c**2 wrt c?\nAnswer: 35076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 140*f - 416. Let b be h(3). Solve b*q + 6 = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - 32. Let p = -26 + u. What is the tens digit of 32*(p\/4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -50, 14 in decreasing order.\nAnswer: 14, -50, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2336*y + 922 - 922.\nAnswer: -2336*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 10 = c, -5491*c - 5*n = -5492*c + 56 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2139 - -2129. Let j(c) = -c**2 - 9*c + 9. Determine j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/2808*-4342 - -22.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*p**2 + 752*p**2 + 5*p - 238*p**2 - 256*p**2.\nAnswer: -2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*sqrt(110)*6 - 5*(sqrt(110) - sqrt(110)*2))\/(sqrt(490) + 4*(sqrt(490) + (sqrt(490) - (-1*sqrt(490) + sqrt(490))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1914 and 89\/1392.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -174\/7. Let d = 4\/3 + -5\/6. What is the closest to d in g, -4, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**3\/6 - a**2 - 9*a. Let p = 2 - 4. Let g(j) = 3*j - 5. Determine p*g(w) + 5*c(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 - 178?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 1191 = 1179 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003928 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 15*c**2 + 9*c - 9. Let t be v(-14). Suppose 0 = -2*m - 2, -2*q + m = -43 - 104. Let d = q + t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 6*y - 2*y. Let u = -17 - y. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l + 0*l**3 + 0*l**2 + 1\/6*l**4 + 0. Let k(j) be the first derivative of 9*j**2\/2 - 200. Determine k(s(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149.2 + 149. Let o = 171 + -171. What is the nearest to -4\/5 in c, 2, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + -11 + 1\/1 + 0. What is the tens digit of 10*5 + 6\/(2 - l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 81911 = -9126. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768742 is divided by 5780.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(16\/7)*n**(-2\/5)\/n**(-1\/7) assuming n is positive.\nAnswer: n**(71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 251709807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/420 + (-8)\/(-28). Let k = 0 - 2. Let l = k + 1. Is l greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 486768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7392\/196)\/(-11)*-1*2\/8.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/7*k**2 + 0 - 86\/7*k - 1\/7*k**3.\nAnswer: -k*(k + 2)*(k + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 12*y**2 + 168*y + 9. Let t(q) = -4*q**3 - 10*q**2 + 167*q + 8. Give 5*l(r) - 6*t(r).\nAnswer: -r**3 - 162*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.889 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.5. Let d = 0.5 + s. Let h be ((-2)\/12)\/(4\/(-9)). Which is the closest to d? (a) 1 (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 304*w + 7. Is s(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 4*w + 4. Let x be n(-4). Let q be ((-21)\/12 - -2)*x. Let l(s) be the second derivative of s**3\/3 + s**2\/2 + s + 5. What is l(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 138 and 137 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 5*u. What is the units digit of (-4 + u)*4\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 399 + 6*l - 3*l - 399. Let w(i) = -2*i**2. Determine w(k(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 38*v + 19 + 119 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + 1*sqrt(1440))\/sqrt(5).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*-1 + -4 + sqrt(68)))**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2\/(-7) + 1). Let b = -38.97 - 0.03. Let i = b - -40. What is the nearest to i in -1, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3 - 7*w**2 - 369*w + 1 + 371*w. Let q(x) = -8*x**2 + 2*x + 5. Let p be (4\/10)\/(1\/(-15)). What is p*y(u) + 5*q(u)?\nAnswer: 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*t = 334*t - 26*t + 4649 + 351 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 271 - 25. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044*x + 1920*x - 1865*x + 2817*x.\nAnswer: 3916*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 1. Let i be b(0). Let p be (-1)\/(-6 - -4)*4. What is the closest to 0.1 in p, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 65. What is the remainder when 36 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2, 0.5, 893, 0.28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.9. Let j = 3.9 - m. Which is the nearest to 1\/3? (a) j (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 7922200*c**2 + 31688740*c - 31688720.\nAnswer: 5*(c - 1584436)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:21 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-16)*(-7)\/(441\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2636, -2989, -3588, -4439, -5548, -6921?\nAnswer: -8564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99266*c**4 + 305379?\nAnswer: 397064*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and -101\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20221221 (base 3) to base 2\nAnswer: 1001111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 246\/63 - (-4)\/42. Suppose -4*x + h + k = 0, -3*h = x - 0 + 12. Factor 0 + x*u**4 - 1\/2*u**5 + 0*u**2 - 1\/2*u + u**3.\nAnswer: -u*(u - 1)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2485, 9975, 22487, 40045, 62673?\n\"Answer: 4*y**3 + 2487*y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**8\/110880 - 5*r**5\/6 + r**4\/24 - 24*r**2 - 1. Let f(b) be the third derivative of n(b). Factor f(i).\nAnswer: 2*i**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 24. Let g be (-2)\/(-9) + 316\/x. Let l = 11 - 2. Calculate the highest common divisor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -1531*b**6\/120 - 481*b**3\/6 - 1405*b**2. Differentiate y(k) with respect to k.\nAnswer: -4593*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2005, -2017, -2031, -2047, -2065, -2085, -2107?\nAnswer: -2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41cb5 (base 14) in base 7?\nAnswer: 1231215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/p**2)*p\/(p*p\/(p\/(((p*p**(4\/3))\/p)\/p))*p)*(p**(-2\/15)\/p)\/(p*p\/(p\/(p**(-4)*p))*p))**(-33) assuming p is positive.\nAnswer: p**(-418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2. Let f(w) = -699607*w. What is f(i(v))?\nAnswer: -699607*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v + 27. Calculate s(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44*c - 85. Let i be b(24). Suppose 430 = 2*m - q - 224, 3*m - i = -q. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477114 take away -5017?\nAnswer: -1472097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (528\/440)\/(3\/10). Which is smaller: i or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17982494 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15*3*((-57)\/(-18) + 126\/(-36))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1817 - 1806. Which is bigger: p or 126\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.0313.\nAnswer: 1.9687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16 = -3*y, -36*z + 37*z - 9 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*g**2 - 11141*c**2*g - 2*c**2 + 90*c*g**2 + 5*c*g - c + 498848*g**2 + 2*g - 1 wrt g?\nAnswer: -2*c**2 + 180*c + 997696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*l - 1, -7*l + 12*l - 7 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {z: 3, a: 3, f: 12}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13604104 and 0.6.\nAnswer: 8162462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*w - 278*w - 269*w + 680*w - 4*w**3 + 152*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rdddrr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-498*l + 46*l + 1451*l)*(2 - 5*l - 2) to the form v*l + m*l**2 + o and give m.\nAnswer: -4995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*q + 11025 + 58617 = 441*q for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1254\/(-57)*((-1)\/(-9) - 0) and -17\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47618927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u = 91*u - 792. What is the highest common divisor of 180 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7369, -14733, -22095, -29455?\nAnswer: -36813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*n - 10 = -5*q + 319*n, -n = 3*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362 + 368. Calculate the greatest common divisor of t and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113554*n**6 - 534837*n**2 wrt n?\nAnswer: -13626480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 + 18544*d\/7 - 4136940\/7.\nAnswer: -4*(d - 4401)*(d - 235)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = 2. Suppose 4 + 2 = -u*v, 0 = 2*j + 5*v + 6. Solve r + j*q = 15, 2*r - r = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1095 or -42540?\nAnswer: -42540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16419, 16438, 16455, 16470, 16483, 16494?\nAnswer: 16503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c**3 - 4*c**2 - 2*c + 4. Let k(z) = -z**2 + 5*z + 5. Let p be k(5). Let q be p + -2*(4 + -3). Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 w when three letters picked without replacement from iwhlttgl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 435*o**2 - 8317*o + 7092. What is v(415)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:42 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48059 * -14.4.\nAnswer: -692049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154476 divided by -4291.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*z**3 - 4*s**3*z**2 + 35*s**3*z + 111*s**3 + 145299*s**2*z**3 - s**2*z**2 wrt s?\nAnswer: 6*z**3 - 24*z**2 + 210*z + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -y + 139 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - 3*x - u, -9 = -3*u. Suppose -15 = -2*m + 3*t + 16, -5*t - 25 = 0. Suppose 3*h - m = 2*h. Solve -3*g + g - h = x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 31 - 65 - 80. Calculate the remainder when 1819 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 7}. What is prob of picking 4 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x - u, x = -3*u + u + 7. Let n = x + -3. Let m be (80000\/6)\/(n\/(-885)). What is m rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -17. Let i = -17 - d. Which is the second smallest value? (a) 0.5 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.450965 or 53?\nAnswer: 0.450965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14374 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -18*p - 60 + 12 - 796 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 421, 171, -77, -323, -567, -809?\n\"Answer: k**2 - 253*k + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - z = 4*z - 7099839, 0 = -4*h + z + 9466475. Let d = 1366618 - h. What is d rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 406, -3, 7, 2, -2, -5, 0.\nAnswer: -5, -3, -2, 0, 2, 7, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.788 + 722.588. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 4*c - 2. Let d be -5*((-18)\/(-5) + -4). Let f be y(d). What is the units digit of 1 + -1 - (5 + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 - -0.37. Let p = 183.63 + -184. Let u = q - p. Are 5 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-5 - 23)\/(-7) - 396\/(-44)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7 - 75. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from uiuutwuc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:31 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {q: 2, a: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269149308 rounded to four dps?\nAnswer: 0.2691","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 41 - 41)*(0*v - v + 2*v)*(-8 + 6 + 0*v + v).\nAnswer: 4*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39948 and 281508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 9*p**2 + 15*p - 40. Let q be j(8). Let r(m) = m - 6. What is the remainder when 119 is divided by r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2 - 199*b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 997920 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a + 859. Give q(86).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nynnnnnyyyyn.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -49 (b) -1 (c) 1\/3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*v)*(-2 + 5 + 2) + (-3 + 3*v + 3)*(-1 + 1 - 2)*(2 + 1 - 2).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v + 4. Let z(f) = -9*f + f + 7*f + v + 6. Let i be z(5). Solve -i - 5 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -428, -664, -1100, -1802, -2836, -4268?\nAnswer: -6164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40019.142 rounded to the nearest ten?\nAnswer: 40020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 2, m: 1, l: 1, y: 4, a: 2}. Give prob of picking 2 a and 1 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let a(d) = -9*d - 3. Calculate r(a(j)).\nAnswer: 18*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2 + 2 + (-7 + 3 - 3*f + 3)*(2 + 0 - 4).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zttztzt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 - 91 = 3*q - 2*t, 2*q - 4*t - 870 = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b. Let c(q) = -q**3 + 4*q**2 + 12*q. Determine -c(f) + 4*k(f).\nAnswer: f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 1 + 0 + a - 4 + a**3. Let z be w(-3). Calculate the highest common factor of 27 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = k, -2*k = -0*k + 8. Suppose 0 = -a*f + 89 + 167. Suppose -f = -4*b - 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -475*b**4 + 20122*b**3 + 3396808*b**2 wrt b?\nAnswer: -11400*b + 120732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124205341 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 784, -3, 2\/3, 8, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7654, -7568, -7414, -7180, -6854?\n\"Answer: 2*r**3 + 22*r**2 + 6*r - 7684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:11 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 - 13*s**2 + 19*s - 20. Let d be i(7). Let m = d + -1565. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, 3, -2000?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20347 + -19580. Calculate the lowest common multiple of 13 and l.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(2*b - b + 2*b) to the form x + k*b and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 = 639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 5, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/61, -0.2, -4, 4\/9, -1 in descending order.\nAnswer: 4\/9, -10\/61, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**3*u - 12*t**3 - 10*t**2 + 175*t*u**2 wrt u?\nAnswer: 3*t**3 + 350*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040267 to four dps.\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -104, -2 in descending order.\nAnswer: 0.3, -0.5, -2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**1*c)\/c**3)\/(c**3*c**7))**(-1) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240*t**3*y + 2*t**2*y - 139*t*y wrt t?\nAnswer: 1440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (805 + 32*g - 805)*(7 + 140 - 26)*(2*g**3 + 0*g**2 + 0*g**2) to the form d*g**4 + y*g**3 + x + n*g**2 + o*g and give d.\nAnswer: 7744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7007, 5552, 3141, -226, -4549?\nAnswer: -9828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h, -4*o + o + 3*h = 0. Suppose -5*r = -r - 12. Differentiate -r + t**2 + 5 - o with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g**3 + 3*g**2 + 2*g - 12. Let w(x) = -12*x**3 + 3*x**2 + 2*x - 12. Let b(u) = 4*n(u) - 3*w(u). Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 q when three letters picked without replacement from {z: 5, q: 2, p: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -5 (c) -12.38 (d) -0.4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(605) + -2 + sqrt(605) + sqrt(605).\nAnswer: 1 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*z**3 + 8*z**2 + 217.\nAnswer: 21*z**2 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 17*t**2 - 39*t - 29. Let m be w(-16). Let n = m + -638. Let v be -1 + 1 + n\/(-13). Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 5}. What is prob of picking 2 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 6 (b) -0.17 (c) -208 (d) -0.4 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/15 + 3*o**4\/8 - o**3\/2 + 5*o**2. Let u(b) = 5*b**2 + 10*b - 3. Let n(r) = 6*c(r) - 5*u(r). Factor n(z).\nAnswer: -(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 6, 1, 5 in ascending order.\nAnswer: -5, -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1190)\/119 - (0 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -83. Let o be i\/6 + (-5)\/(-15). Is 9\/23 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -143\/5. Let u = 2.27 - -0.03. Let z = -2 + u. Sort z, a, 2.\nAnswer: a, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c40d (base 14) to base 10.\nAnswer: -72141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 862741 and 56182984?\nAnswer: 8063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 2, f: 7}. Give prob of sequence fof.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 0*j - 556*l + 558*l = 6, -2*l + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 36*a + 21. Calculate o(-10).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 250. Determine c(-58).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-4)*z))\/z)\/(z**(-10)\/z))\/(z**(-1\/7))**5 assuming z is positive.\nAnswer: z**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 47*b - 364. What is s(14)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(6\/42 + (-45)\/21). Let u be v*(108\/14 + -8). Factor u*l**2 + 20\/7*l - 4\/7*l**3 + 12\/7.\nAnswer: -4*(l - 3)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349\/6 + 176\/3. Factor -1\/4*u**4 + 1\/4*u - s + 3\/4*u**2 - 1\/4*u**3.\nAnswer: -(u - 1)**2*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -247, -796, -1845, -3556, -6091, -9612, -14281?\n\"Answer: -27*q**3 - 7*q**2 - q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5931?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23199689\/205119 + -224\/7597. Let h = y + -113. Which is the closest to 0? (a) 2\/3 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**2)\/x)\/x)**(1\/9))**30\/((x*(x\/(x\/(x*x**1\/x)))\/x)\/(x*x\/x**0*x)*x**(3\/4)\/x**1) assuming x is positive.\nAnswer: x**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -26 to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 7*d**2 - 4*d**3 + 5*d**3 - 5*d**3.\nAnswer: -4*d**3 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 - 189*j = 0. Calculate j.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -2\/5, 2\/131?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/36*-6*9\/2. Let t = 9 - f. Suppose 4*y + 2*i + 16558 = 0, 0 = 3*y - t*i + 2*i + 12424. What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*q + 347*q - 8874 = 446*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 15. Let s be (-78)\/(-1) + 2 + 2. Suppose -32 = z*n - s. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4823437?\nAnswer: 4823437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1106*m**3 - 1109*m**3 - 12*m**2 + 2216*m**3. Let p(i) = -2*i**3 + 25*i**2. Give 2*p(j) + 5*z(j).\nAnswer: j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98194 is divided by 3927?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 5*m - 21*m**3 + 22*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 602 (base 7) to base 2\nAnswer: 100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 + 2*p - 4. Let k(z) = -10 - 2*z**2 - 2*z**2 + 11 + 7*z**2. Let j be k(1). Let c be m(j). Solve 0 = 4*a + c + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59\/3 + 1\/3. Let n = r - 14. Solve 0 = -3*z - 2*t + 9 - 2, 0 = -4*z - 2*t + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 7*y - 1. Suppose -7*w + 6*w + 18 = 4*p, 5*w - 115 = 5*p. Suppose w*u = 26*u - 24. Let t(i) = -10*i**2 - 15*i + 2. Give u*t(l) + 13*d(l).\nAnswer: 5*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -299405, -598797, -898187, -1197575?\n\"Answer: l**2 - 299395*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + 51. What are the prime factors of s?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 765*l + 9100.\nAnswer: 5*(l - 140)*(l - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3 - 1. Let g(l) = 2 + 1 + 3*l - 3. Determine s(g(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + s - 784, -416*s + 386 = 2*w - 417*s. Suppose 3*u = 4*u - 15. Calculate the highest common divisor of w and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 672 = -a. Suppose 0 = -5*w - 3*l + 609, 2*w + 6*l - 2*l = 252. Suppose -21*v + 6*v + w = 0. Calculate the lowest common multiple of v and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1952*d*r**2 + 8*d*r - r**2 + 18692*r with respect to d.\nAnswer: -1952*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.07 (b) -2\/11 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.206705 and 0.29582303.\nAnswer: 0.08911803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**3 - 6 + 0 - 1 - 77*w**3 + 2 to l*w + b*w**2 + m*w**3 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10188586952.93 + -52\nAnswer: 10188586900.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.01 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29291)\/119 - 1*(-1)\/7. Let q = -126 - o. What is the greatest common divisor of q and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011302496 to 6 dps.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1345*a**3*d + 2133*a**3 - 7748*d - 51 with respect to a.\nAnswer: 4035*a**2*d + 6399*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*b**2 + 4 - 5 + 166*b**2 + 360*b**2 to the form z*b**2 + q*b + r and give z.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 divided by -8.\nAnswer: 167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-4)*f)\/f*f*f*f)\/(f**(3\/7)*f))\/((f**(-1\/4)*f*f)\/f)**(-5\/13))\/(((((f\/(f**(3\/4)\/f))\/f*f)\/f)\/f)\/f*f*f**1\/f)**(6\/5) assuming f is positive.\nAnswer: f**(-2257\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:51 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3\/(-9) - (-1076)\/12. Let i be 20\/3*f\/1. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 11*w**4\/12 + 11*w**3\/6 + 5*w**2 + 10*w. Let v be k(12). What is the units digit of (-1)\/(-1)*((-3)\/(-1) - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400608 divided by 96\nAnswer: -4173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 + 293. Let v = -95 + s. Which is the smallest value? (a) v (b) -4 (c) -1\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(112) + sqrt(112)*1)*-3 + 4 + 4)**2.\nAnswer: -384*sqrt(7) + 4098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 29*g + 64. Let n(h) = -8*h**2 + 204*h - 448. Let b(d) = 20*m(d) + 3*n(d). Factor b(s).\nAnswer: -4*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 223*d**5\/20 - d**4\/12 - 413*d**3\/6 + 324*d. What is the second derivative of j(c) wrt c?\nAnswer: 1338*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let x be h(3). Let d be 3 - (x - 2) - -31. Suppose 2*y - d = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -20412?\nAnswer: -20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4935400 to the nearest 10000.\nAnswer: -4940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i - 1. Let d(v) = v**2 - 3*v + 2. Let k be d(3). Let r = 4 - k. List the prime factors of q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*o - 1. Let c(p) = -p**3 + 2*p + 5. Let j(l) = l**3 - 2*l - 6. Suppose 657 = 6*d + 693. Determine d*c(b) + o*j(b).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 303200 (base 4) to base 16\nAnswer: ce0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/30)\/((6\/(-5))\/((-42)\/105)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1113 - -2440. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/(4*8\/(-704))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 186*h**2 + 163*h - 92. What is the units digit of s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/91179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -5*d + d. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0 - (0 + 1). Let s be 0 + 5 - (-128)\/(10\/5). Suppose v = y - 0, 2*t = -v + s. Calculate the greatest common factor of t and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/95)\/(3\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 185.591762479 from -3.\nAnswer: -188.591762479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 18, p: 2}. What is prob of picking 3 e?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*s = -v - 98*s + 513, -2*s + 2718 = 5*v. Let c be (-1 - (-2)\/(-4))*-40. Calculate the greatest common divisor of v and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 2:19 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1768\/19 - 93. Let h = 64\/133 - r. Sort -4, 0.1, h.\nAnswer: -4, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 - 17*n - 8. Let i be 65\/7 + 2\/(-7). Let b(s) = 6*s - 6*s + 4*s + 2 + 23*s**2 - 25*s**2. Determine i*b(w) + 2*j(w).\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211176564 by -11964.\nAnswer: -17651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 46*r + 3. Let a be k(3). Suppose 0 = -4*j + 5*j - a. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let h(c) = 12278357*c**2. Calculate h(i(s)).\nAnswer: 49113428*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 + 5*l - 1. Let i(b) = 35*b**2 - 15*b + 1. Let w(j) = i(j) + 3*x(j). Let z(u) be the second derivative of u**3\/6 - u. Give w(z(a)).\nAnswer: 65*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, u: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, 2229, 4, -26.\nAnswer: -26, -2, 4, 34, 2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6252)\/(-2605)*2\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(-3*sqrt(9)*1 + sqrt(9)) + (sqrt(48) - ((sqrt(48)*5 - sqrt(48)) + sqrt(48)))*-6 + 4)**2.\nAnswer: 764*sqrt(3) + 109507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629100968?\nAnswer: 2, 23, 3419027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2 - (-2)\/2. Suppose 3*t - 12 = -3*q, i = t - 7 + 3. What is the closest to q in -0.5, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/12 - 7*x**4\/6 + x**3 - 17*x**2 - 2*x - 7. Let v(m) = 11*m**2 - 57*m + 13. What is 13*a(n) - 6*v(n)?\nAnswer: -n**2 - 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523363?\nAnswer: 3, 37, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 511*d**4 + 251*d**4 + 228*d**4 - 3*d**4 - 2*d**4 + 3*d**4 + (-6 + 1 + 2)*(d**3 - d**3 - 2*d**4) + 0*d**4 + 4*d**4 - 2*d**4.\nAnswer: 996*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 3 + sqrt(704))**2 + 3 + sqrt(704).\nAnswer: 104*sqrt(11) + 2828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 3*k**2 - k + 9. What is f(5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 13798.\nAnswer: 27596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3103 + 3102. Which is the nearest to k? (a) 0.08 (b) -1\/5 (c) -7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 5. Let t = 220 - 220. What is a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 t, and 1 j when four letters picked without replacement from ejataajtaaaaataaeaj?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5))**(-17))**(-3\/2)*(x\/((x*x\/(x**(2\/3)\/x*x))\/x)*x*x**(-1\/6))\/((x\/(x*x**(2\/5)))\/x**(-2\/3)) assuming x is positive.\nAnswer: x**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 2160.\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -168. Let h = i - 50.34. Let g = -0.23 - h. What is g rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000218383915 to seven decimal places.\nAnswer: -0.0002184","meta":{"dup_signals":{},"source":"numbers__round_number_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: Does 4 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (4 + (0 - -1)). Let j = y + 7. Solve j*r = -6 - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11674*b**2*y + 2*b**2 - 3*b + 248 wrt y?\nAnswer: -11674*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0, -3, -2 in decreasing order.\nAnswer: 5, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 61, 147, 289, 499, 789, 1171, 1657?\n\"Answer: 2*v**3 + 10*v**2 - 2*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 235*a - 205. Let g(f) = -20*f + 17. Let h(n) = -35*g(n) - 3*z(n). Let i(v) = -3*v. Calculate h(i(q)).\nAnswer: 15*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 18*i - 12. Let b be -1 + 17 - 2 - (-16)\/(-4). Let a be z(b). Is 25 a factor of (0 - -1)*(a + (-70)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1140 - 17a837?\nAnswer: -180977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + r - 13 = -6, -5*k = 5*r - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49013.48 microseconds to seconds.\nAnswer: 0.04901348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2638)\/(-1320) + (-30)\/165 + 11\/(-165).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -70, -124, -198, -298, -430?\n\"Answer: -t**3 - t**2 - 30*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5276*k - 390579. Give m(-74).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*r**4 - 4*r**3 - 2*r**2 - 16*r + 435035 wrt r?\nAnswer: -396*r**3 - 12*r**2 - 4*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.78 + -28.2. Let s = x - 1.49. Let t = s + 0.16. What is t rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:13 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 150 = 25*l - 54 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**4 - 18*n**3 - 419*n**2 - 118*n - 8075 wrt n.\nAnswer: 60*n**2 - 108*n - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 9\/(-45) + 867\/85?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*y = 589*y + 1813*y + 1394*y - 339779 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-754800051)\/68 - 3\/(-4). Round o to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.91 - 10.9. Put 3\/7, n, -0.2 in decreasing order.\nAnswer: 3\/7, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let s(u) = -u + 11. Let i be s(9). Let r(y) = -2*y + i*y**2 + 2*y - 5*y**2. What is r(w(a))?\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let v(z) = -5*z - 6. Let n(g) = -2*h(g) - 2*v(g). Let p be n(-10). Round p to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + (-27 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -35. What is the third biggest value in o, -5, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/9, -0.242, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 115*g - 228*g + 146*g**3 + 113*g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + sqrt(320) + -1 + sqrt(5) + sqrt(5)*3 + 0 + -5 + sqrt(180) + (sqrt(180) - (sqrt(180) + 4 + sqrt(180) + 0 + sqrt(180))))**2.\nAnswer: -440*sqrt(5) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 13. Let i be c(6). Suppose a - i = -0*a. Suppose 3*n + a = 5*w, n - w - 27 = -3*n. Solve -n = 4*b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3655568 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 971415602 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4491 + 551 = -370*u + 602 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 647 - -105?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 78*z + 176. Let u(m) = -25*m**2 + 1015*m + 2290. Let v(i) = -40*q(i) + 3*u(i). What is n in v(n) = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 574391439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -41910 != -41920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46192658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0 - -3) + (36 - 40) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088\/228 + 44\/(-14)*7?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - (sqrt(64) - sqrt(64)*1*-3 - sqrt(64)))\/sqrt(8) + (2*sqrt(800) - 1*sqrt(800)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 689157 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -861*m + 38*m - 303*m - 47*m in the form n*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-1)\/10). Let y(x) = x - 4. Give y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7081, -14158, -21235, -28312, -35389?\n\"Answer: -7077*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**4 - c**3 - c**2 - c - 1. Let o(h) = 55*h**4 - h**3 - 40*h**2 - h - 1. Let x(z) = -b(z) + o(z). What is the third derivative of x(t) wrt t?\nAnswer: 1344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2331*c + 3508*c + 434564 = -7180*c for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:59 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 4*m**2 + 42*m + 72.\nAnswer: -2*(m - 12)*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 3*d**2 - 3*d + 4. Let b be j(-4). What is the second smallest value in -0.4, -1, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 8*p**2 - 6*p + 31. What is the least common multiple of c(-9) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.34, -122, 1, 0.1, 2, 52?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 1252, 2818, 5010, 7828, 11272?\nAnswer: 15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpgg when four letters picked without replacement from yygyyggppygygpyyp?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12)*-3*(-1 + 2444). Let m = -4143 - d. Round m to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from {p: 2, d: 10}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 3693*t - 24 + 2*t**2 - 3701*t.\nAnswer: 2*t**2 - 8*t - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1*2\/(-4). Let w = 0.29 - 0.5. Let q = -2.79 + w. Which is the third biggest value? (a) -2 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89\/91 + -9\/13. Let x = -18.36 + 16.5. Let q = x - 0.14. Which is the closest to q? (a) -4 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -102. Let u = 8 + 4. Suppose 5*d - 2 = -u. What is the nearest to -3 in -1, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 7*d - 64401*d**3 + 3*d**2 + 1397*d**3.\nAnswer: -63004*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 192 in -3, -4, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167406799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = 3. Sort -4, -5, -3, n in descending order.\nAnswer: n, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2947 - 2917.38. Let i = 0.38 + t. Let v = 29.31 - i. What is v rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -11*x**4\/24 - x**3\/6 - 12*x**2. List the prime factors of n(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 1014230*v\/3.\nAnswer: -2*v*(v + 507115)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1837.09 - -1837. What is the nearest to -0.01 in x, -2, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 4. Let d(h) = 3*h**2. Determine u(d(s)).\nAnswer: 9*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6160?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -43*b**7\/70 + 257*b**3\/6 + 54*b**2 + b. What is the first derivative of w(m) wrt m?\nAnswer: -516*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12\/7)*x**(-2\/79))\/(x**(3\/4))**(1\/2))**(1\/12) assuming x is positive.\nAnswer: x**(-9355\/53088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -0.09. Let k = 5.05 + n. Let b be 1 - (0 + 1 + -2). What is the second smallest value in b, -5, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 - c - 4. Let b be z(-2). Find the common denominator of ((-176)\/32)\/(10\/b) and 79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(184\/(-16)) - (-660)\/184\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -10*n. Suppose 5*j - u + 4*u + 9 = n, -j - 3*u = 9. Let i be (-4 - -7)\/((-6)\/(-8)). Solve -3*t - 5*m - 16 = j, -i*m + 2*m = -5*t + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 1. Let p(j) = -27*j + 2. What is p(z) - 2*s(z)?\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (3 + -1 - 8). Suppose -3*w + l*w - f - 10 = 0, 0 = -4*w - 5*f - 8. Solve -4 = -w*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l. Let x(y) = -45*y**2. Determine x(f(b)).\nAnswer: -2880*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 + g**2 - 2*g + 5. Let d(k) = 5*k**3 + 2*k**2 - 4*k + 9. Calculate 4*d(y) - 7*u(y).\nAnswer: -y**3 + y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-8)\/(-60) + 17\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 8. Suppose 173 = t + y, m*y + 883 = 5*t + 3*y. Suppose b = -3*o - 0*o + 38, 4*o - t = -4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1910 + 1907. Suppose 2*i = 2*t + 4, -2 = 3*i + 4*t - 43. Suppose -2 = 5*r + 3. Sort i, a, r.\nAnswer: a, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1703, -3409, -5115, -6821, -8527?\n\"Answer: -1706*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(i**3 + 0*i**3 - 4*i**3) + (-1 + 1 + 2)*(-i**3 + 4*i**3 - i**3).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7437, -7461, -7485?\n\"Answer: -24*a - 7413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 303183491 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1706 and 24798416.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2108964 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + q + 4*q - 216, 5*j = 5*q + 270. Suppose -10*o - 678 + 48 = 0. Let k = -45 - o. Calculate the highest common divisor of j and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*o + 3460 = 0, -21*u + 22*u - 3*o = 1146. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 14. Calculate z(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -987979\/256 + 3859. Find the common denominator of m and -43\/29.\nAnswer: 7424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -12023?\nAnswer: -12123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s + 2. Suppose -2*f - 8 = 2*f. Let o be b(f). Put -3, o, -2 in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -40*u**3 - 7*u**2 - 6*u + 7. Let z(b) be the second derivative of 27*b**5\/20 + 5*b**4\/12 + 2*b**3\/3 - 5*b**2\/2 + 271*b. What is -5*d(s) - 7*z(s)?\nAnswer: 11*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000395581419 to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*s - 28 + 16*s**2 + 28 wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*c + 104*c + 36. Suppose 0*y = 2*s + 3*y + 6, 0 = -3*s - 4*y - c. Sort -0.2, 4, s.\nAnswer: s, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 117 = 20. List the prime factors of t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50440 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - -1)\/(-9)*78 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Suppose 0 = -8*r + s*r. Let y = r + 0. Solve -h + y = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/((-2)\/6). Suppose 9*p - 5*p = -5*b + 2630, -5*b - 645 = -p. Suppose -120 = -2*d + 2*r + 208, t*d - 3*r - p = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81827 from -186283731.\nAnswer: -186365558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 13*h + 0*h**2 - 2 - 5*h. Suppose -5*y = r - 5*r, 3*y - 5*r + 13 = 0. Is t(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161)\/2530*11*(0 - 10\/(-4)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129860?\nAnswer: 2, 3, 5, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Suppose -13*n + 2088656 = 18*n. Let z(p) = 67376 - n + 2*p. Give z(o(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5740)\/50225)\/((-72)\/7)\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*n**4 - 4)*(1 + 2 - 14)*(-14*n + 7*n - 7*n) + (-6*n**4 + 4*n**4 + 0*n**4)*(n + 0 + 0).\nAnswer: 460*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*x**2 + 280776*x + 64719842 wrt x?\nAnswer: -44*x + 280776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 4, -5 in ascending order.\nAnswer: -11, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + t - t)*(-15 + 8 - 31 + (-638 + 272 - 5)*(2 + 1 - 1)*(-4 + 6 - 4)) to the form y + k*t + q*t**2 and give q.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2705, -2641, -2459, -2099, -1501, -605, 649, 2321?\n\"Answer: 10*a**3 - a**2 - 3*a - 2711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:02 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 - 3*j + 4. Let h be x(3). What is n in -8*n**4 + 21*n**h + n**3 - n - n**2 - 12*n**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9711.875 and -0.2.\nAnswer: 9711.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x - 72*x - 225*x + 166*x.\nAnswer: -175*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*c**2 - 624700*c - 138824.\nAnswer: 4*(c - 17353)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 - 0.04?\nAnswer: 611.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224 + 885\/4. Which is the closest to q? (a) 0.5 (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/11, 9, 0.06?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(6)\/sqrt(3) + 4*sqrt(72))**2 + -5)*-6.\nAnswer: -7476 - 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 - 0.02. Let r = -3.4 - t. Sort 0.5, r, 1.\nAnswer: r, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-8 - 0) + (9 - 19) + 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16377004232+-0.1\nAnswer: -16377004232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + 303*t**2 + 390*t - 169. Determine n(77).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -42. Let f be (-228)\/(-6)*(0 - u). Calculate the highest common divisor of f and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 10156?\nAnswer: -10160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.141 - -0.859. What is the closest to -1\/2 in z, -16, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/28)\/((8\/(-1))\/(-96))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/16 and 75\/88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201574 - 201574 - 9*f**3 - 15*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.514813mm in meters?\nAnswer: 0.007514813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094521136 rounded to five dps?\nAnswer: 0.00945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36561\/4 + -261563\/28. Let m = l + 201. Let x = 0.49 + -0.4. Sort x, 0.4, -0.5, m in descending order.\nAnswer: 0.4, x, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*94556.\nAnswer: 47278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 46035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 6418022 (c) -1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2 + sqrt(162))*1.\nAnswer: 2 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288025875.\nAnswer: 3, 5, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 393.5707 litres?\nAnswer: 393570.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 37000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3013, -3012, -3011, -3010, -3009?\nAnswer: -3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76 + 49 + 34*p**2 + 2*p**3 + 62*p - 95.\nAnswer: 2*(p + 1)**2*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose 0 = g - x*p - 12, 3*p - 3 = 6*p. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -48*d + 0 + 61*d + 122. What is the lowest common multiple of 18 and y(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30604 is divided by 5097.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -168217?\nAnswer: 168118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0, 3 in ascending order.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqp when three letters picked without replacement from xpxqpqpxp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-935)*44\/8)\/(2\/(-40))*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844093.\nAnswer: 3, 7, 135433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 19*v**2 + 18*v - 9. Let w(j) = j**3 - j**2 + j - 1. Let i(f) = 5*g(f) - 35*w(f). Factor i(k).\nAnswer: -5*(k + 2)*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 6, u: 2, r: 1, o: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -612893.19 to the nearest one thousand.\nAnswer: -613000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142119274 rounded to the nearest 100000?\nAnswer: 142100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -11*h**3\/3 - 2*h**2 - 27*h - 132. What is the second derivative of q(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -629 - -20747\/33. Let r = -1796629\/232650 - -3\/12925. Find the common denominator of r and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.249 in -0.5, -1\/5, 0.122?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 7*u - 32152 = -12*u. What is the remainder when u is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6690 and -107\/15610.\nAnswer: 46830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2525, -5134, -7757, -10400, -13069, -15770, -18509?\nAnswer: -21292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -27 + 7. Which is the fourth biggest value? (a) t (b) -2\/17 (c) 8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1208437524 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 693479417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - f - 1, 2*f + 4 = z - 2*f. Suppose z = -4*q + 2 + 2. What is the derivative of 14*k + q + 2*k**2 - 14*k wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7004 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12846*r - 2*r**2 + 9 - 12846*r)*(3*r - 3*r - 2*r**3).\nAnswer: 4*r**5 - 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354, -689, -24, 641, 1306?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56925815269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + n. Let q(d) = d**2 - 37*d + 98. Let b be q(34). Let a(w) = -3*w**2 + 2 + 5*w**2 + 2*w**2 - 7*w**3 - 4*w. Determine b*i(g) - a(g).\nAnswer: 3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 4. Let f be h(0). Let n be (-3 - (-3 + 136))\/(f\/34). Let x = 1823 + n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -3 + (sqrt(3) - (sqrt(15)*-3)\/sqrt(5)))**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/291 and -167\/30.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = -126. Let w be (-14)\/x - (-32)\/18. Suppose -3*o + 20 = 5*m, -2*o - 2*o + w*m = -18. Solve 0*n + 2 = -2*n - 5*y, -1 = n + o*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1900 = -57*c - 1525 - 1572 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 12*n**2 - 7*n**2 + 5*n to the form g + z*n**2 + i*n and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177292 is divided by 588617.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43960 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 - k + 3. Let z be v(0). Suppose 0 = f + z. Let o be ((-5)\/25)\/(8\/10). Which is the smallest value? (a) 0.4 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 7*c**2 - 8*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mizzuzzmf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (21 - 40) + -46 - (-9 + 1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9278988.0000008 + -9278983. Let d = 5 + 0. Let k = d - h. Round k to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205321 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from {o: 1, e: 4, i: 9}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379906929 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54.4 in -6, -0.3, 3, -4, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 72 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349115 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128477 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: Sort -1, 1722, -12 in descending order.\nAnswer: 1722, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5400 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b - 6. Let u be i(-7). Let s = u - 44. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 15. Let d be x(-10). Let t(g) = g**3 + 5*g**2 - 2*g + 4. Determine t(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101101 (base 2) to base 10.\nAnswer: -941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21144 divided by -4?\nAnswer: 5286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 26 - 1799*n**2 + 6 + 2 - n**2 + 0*n**2 + 2*n**2 + (2*n**2 + n**2 - n**2)*(2 + 0 + 0).\nAnswer: -1794*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 4)*(1 + 1 + 1)*(2*p - 1 + 1).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 22 = 2*x, 3*t + 3 - 5 = -2*x. Suppose -i - 3*z - 1 = 0, -2 = t*z + 2. What is the nearest to -2\/9 in i, -2\/9, 0.2, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*x + 8*x + 0*j = 4*j - 8916, -900*x + 897*x + 3*j + 150 = 0 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as -5990\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/61 or 0?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093011913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14*l**3 + 4*l**2 + 3*l - 4. Let y(h) = 28*h**3 - 9*h**2 - 7*h + 9. Let n(s) = -5*c(s) - 2*y(s). Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*a - 46 = l, 5*l - 3*a + 76 = 0. Let b be (-62)\/(-22) + l\/(-77). Solve -b*o - 9 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 5. Let j be h(-3). Suppose -3*k - 5*r = -1, 4*k = -k - 2*r + j. Suppose -f + k = 1. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 + 20*i - 33. Let m be s(-9). Which is the nearest to m? (a) -1\/5 (b) 3 (c) 0.7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10163 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1)\/(241\/1687).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87420 and -37.978.\nAnswer: -87457.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 581612800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 0.1, 2\/7, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5)\/(1*(-39 + -25) - -6).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647.005 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 137960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*v = 19, -4*i - 5*v = -5*i - 1. Let c be (-66)\/(-30) - (-1)\/(-5). Solve -13*y**3 + 19*y - 33*y**c - 51*y + 5 + 21*y + 4*y**i = 0.\nAnswer: -1, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 = -5*r + 6227. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 4. Solve c*m = 2*m + 3*u + 8, -2*u = 3*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*4*-1)\/(sqrt(6) + (sqrt(150) - sqrt(150)*4 - sqrt(150)) + sqrt(150) + sqrt(150)).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (2 - -2 - -11) + -18 + 7?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74479518 - -74479419.996682. Let j = -98 - d. What is j rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067\/131 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*k*x**4 - 8*k - 12*x**3 + 108*x**2 - 3006 wrt x?\nAnswer: -276*k*x**3 - 36*x**2 + 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94413 and 5984?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205 times 104?\nAnswer: 229320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 + 19 = 0. Suppose -n*x = 2*x - 108. What is the least common multiple of ((-32)\/5)\/(4\/(-10)) and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 14*f - 1130 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2769725*r + 19388072. Give t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 5. Let l be w(-5). Suppose -f + 8 = -3*f. Let k be (l\/(1 + f))\/(-2). Solve 3*a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 115 + 27*k - 115 to i + a*k and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*b + 9. Let k(x) = -7*x**2 + 3*x - 3. Let r(t) = -4*t**2 + 2*t - 2. Let d = -16 + 11. Give b*k(j) + d*r(j).\nAnswer: -j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(544\/408*(-54)\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -4*z - 12*l - 190, -2*z - 4*l = 104. Which is bigger: z or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 10000101100110101?\nAnswer: 10000101100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 87 = 75 + 62. Solve 41 = w*x + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21457 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1*-2*sqrt(720) - (-4 + sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720) + 1 + sqrt(720) - sqrt(720))))) + 2)**2*-5.\nAnswer: -32645 - 2520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1772 + -1546?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 9*i**3 + 15*i - 2*i**2 + 2*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553265697.\nAnswer: 1553265697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14652, 4.9, 3, 0.5.\nAnswer: -14652, 0.5, 3, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y = -123, 3*y = -6*q + 3*q + 315. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2542145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 17907.\nAnswer: 71628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, -142, -597, -1294, -2233, -3414?\n\"Answer: -121*j**2 + 150*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -471*p - 104*p - 6682 - 1943 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*c**2 - 6*c + 13*c - 7*c.\nAnswer: -160*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/((a\/a**2)\/a)*(a*(a*a**(4\/9))\/a)\/a**5)**25 assuming a is positive.\nAnswer: a**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, x: 6, n: 5, b: 1}. What is prob of picking 1 b and 3 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 46 = 47*g. Suppose 18*a - g*a + 180 = 0. What is the remainder when a is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 58*h + 91. Calculate j(58).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g - 133. Let d(j) = -5*j + 66. What is -5*d(a) - 3*n(a)?\nAnswer: a + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*(s\/((s*s**(-1\/3))\/s))\/s)\/s))**(2\/3)\/(s**(-12\/5)\/s**(-2\/15)) assuming s is positive.\nAnswer: s**(122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkksskkkskksm. Give prob of picking 3 k and 1 m.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - 18.14. Let q = s + 20. What is the third biggest value in -0.4, -58, q?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2292930708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k**3 + 41*k**2 + k - 3. Let o be n(-3). Suppose -60 = 48*f - o. Which is smaller: -7\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3797.\nAnswer: -15188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -239, -977, -2221, -3983, -6275, -9109, -12497, -16451?\n\"Answer: -2*d**3 - 241*d**2 - d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-nine quarters of a centimeter in micrometers?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*t - 3070 - 730 + 206*t to the form m + d*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1185, -1818, -2479, -3174?\nAnswer: -3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12708)\/(-18356) - 214\/234.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1 - 41*l + 2 + 24*l + 22*l. Let h be -4*4 - (12 + -15). Let t = 9 + h. Give d(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3842*v = 127313 - 37607 + 39164 + 28652 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1458832951\/30 - 48613958. Let u = -13801 + g. Calculate the common denominator of u and -47\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -264 in -0.2, -1, 3, 0.2, 330?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 21 - 61. Solve 3*c = -3*h - 6 + 3, 0 = -u*h - 3*c + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqaaf. Give prob of sequence qwa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 184 = -3*z - 2*r, -118 = -2*z + 2*r. What is the greatest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 6*v + v - 4*v + 9*v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 + 179. Solve -1 = 2*l - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 3:41 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103259621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.224+0.119\nAnswer: 0.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5 + 180828*c**4 - 3645051216*c**3 + 24808304123760*c**2 - 4769113156646544*c - 9637488693091200 = 0.\nAnswer: -2, 200, 20026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03097175 - 3202?\nAnswer: -3202.03097175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*m = 77*m + 4010 + 484 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from kckhkvhqkhhkhqcvkk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 + 238*j - 1871. Determine k(56).\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/((13 - (-130)\/(-13))\/(3\/(-2))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {t: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 2}. What is prob of sequence zzt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14307, 28615, 42923, 57231, 71539?\n\"Answer: 14308*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, g: 3}. Give prob of picking 1 g and 2 p.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3339 = 23*n - 14*n. Calculate the greatest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)\/(-106 - -6). Let o(l) be the second derivative of 1\/60*l**4 + 0 + 1\/30*l**3 + 2*l - v*l**5 - 1\/10*l**2. What is u in o(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 4457.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965034752.\nAnswer: 2, 11, 342697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**3\/12 + 127*r**2\/2 - 16129*r + 898. What is p in t(p) = 0?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 10) in base 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 - 1. Let o(f) = 4286*f**4 - 8*f**3 - 32*f**2 + 53*f - 2. Let t(r) = 8*j(r) - o(r). Find the second derivative of t(s) wrt s.\nAnswer: -51432*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098686054.\nAnswer: 2, 29, 1499, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45787*o**3 + 7*o**2 - 54*o + 4 wrt o.\nAnswer: -274722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -18. Let a be (-2)\/5 - (-1530)\/75. Let d = a + -18. What is the closest to 2\/9 in d, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 - 832*s**3 - 7408*s**2 + 100224*s - 228096 = 0.\nAnswer: -198, -18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 662732a (base 11) to base 2\nAnswer: 101100011000011111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 50. Suppose 456 = -7*n + 3*n. Let h = n + 108. Let v be w(h). Is v <= 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 37*o**3 + 35*o**3 - 3*o**2 + o + (2*o + 3*o - 3*o)*(5*o**2 + 74 - 74).\nAnswer: 8*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + 0.3. Let y = -5 - -6. Let x = p + y. What is the biggest value in -2, x, 5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Suppose 4*c**3 - 336*c**2 - 348*c + 680 = 0. What is c?\nAnswer: -2, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-1*(12 + -13). Solve -p*j - 5*z = 17, -4*j + 0*j - 16 = 4*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3289 or -0.465?\nAnswer: -0.465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63121465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 + 103 = 3*a. Suppose -2*l - l - 5*m = -402, -5*m - a = -l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j**2. Let g(i) = 17*i**2 - 21*i**2 + 5*i**2. Determine k(g(u)).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/4076909 or 0?\nAnswer: -9\/4076909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13446 = -82*r - 250*r + 581*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -18?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 930018.\nAnswer: -3\/310006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 34*r**2 + 15862*r - 7453. What is s(-467)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-16)\/(-10)))\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(342))\/((sqrt(50) - sqrt(50)*1) + sqrt(50) + sqrt(50)).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -962 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3079, 6006, 8933, 11860, 14787, 17714?\nAnswer: 20641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733 = -9*f + 832 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283845512.\nAnswer: 2, 35480689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.882 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4054298 = 5*v, 9*v + 16 = 5*v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 7. Let x be y(8). Suppose 2*z - 25 = x. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, b: 4}. What is prob of sequence vv?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-5) + (-2)\/5. Suppose -129 = -v*s + 51. Suppose -4*x + 6*x = s. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qri when three letters picked without replacement from irqrqqkqqikttqi?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6 - -0.4. Let a = u - 2. Let p = 2 - a. What is the third biggest value in p, 0.5, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 155*d + 918. What is the remainder when 7285 is divided by u(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338987, -338901, -338815, -338729, -338643, -338557?\nAnswer: -338471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/8 + 5*a**3\/3 - 17*a**2\/4 + 4*a + 69. Determine d, given that t(d) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 11*a + 1. Let f be c(11). Let r = 4 - 0. Let s = -3 + r. Does s = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*b - 2*b - 4*b)*(0 - 7 + 1)*(-30 - 30 + 79) - b + 42 - 42 to the form z + l*b and give l.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416496833*d**4*v + 2*d**4 + 4*d**2*v - 3328*d**2 - 4*d*v + 68*d + 3*v wrt d.\nAnswer: 9995923992*d*v + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 27 = 3*v - 10, -3*v - 3 = 0. Suppose -d = -4*d + 123. Let i = k + d. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634825525 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -36*z**3 - z**2 - 2*z - 1. Let h be w(-1). Suppose -141 = -7*s + 3*s - 3*o, 5*s - 5*o - 185 = 0. Does h = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 5, -2, 1\/4, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*k*k**3*k*(k**(3\/4))**(-6))**(1\/9) assuming k is positive.\nAnswer: k**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2647?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*m + 134 - 221 = 0, -3*m + 27 = z. Solve 0 = -5*p - 4*h + 6, 5*h - z + 2 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-2*sqrt(612))**2.\nAnswer: -14689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + (2*sqrt(1331) - sqrt(1331)) + sqrt(1331) + sqrt(1331)*2 + 3) - (2 + (sqrt(1331)*1 - sqrt(1331)) - (-4*(0 + sqrt(1331)) + sqrt(1331)))*4)**2.\nAnswer: 2112*sqrt(11) + 21872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56215 - 56215 - 8*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66986538?\nAnswer: 2, 3, 41, 317, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010100110 + 10000?\nAnswer: 11010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 26, 65, 140, 263, 446, 701, 1040?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 84 = -f, 5*f + 0*m - 342 = m. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -520332351 (base 6) to base 10.\nAnswer: -8985739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - -0.5. Let x = d - -0.22. Let b = 2\/653 + -1967\/2612. What is the third biggest value in x, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -0.063557\nAnswer: -0.00317785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2412 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 258. Let s = 228 + c. Solve -5 - 1 = -s*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 120 = 234 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 130 - -61) + 76 + 4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 67975*r + 1018500 = 0. Calculate r.\nAnswer: -13580, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (2*(1 + sqrt(147)) + 3)**2).\nAnswer: -1226 - 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Let b = -83\/3 + 28. What is the nearest to b in 0, -4, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-5) - (-24)\/60. Let l be 102 + (1\/y - 13\/(-52)). Suppose -9*f - c = -8*f - l, -f - 3*c + 96 = 0. Calculate the highest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/56 - (-6 + (-33)\/(-21)). Put u, 4, -8 in descending order.\nAnswer: u, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 - 262. Let c be 0\/(-1) + 2 + 0. What is the highest common factor of m and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.4 and -2363.5.\nAnswer: -12762.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from {n: 7, p: 3, i: 4}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.95614 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06267695 rounded to 4 decimal places?\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -0.1284 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29183619379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -13. Let x be (429500\/(-3))\/((-21)\/z). Round x to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + k**2 + (-2*k - 2*k + 5*k)*(5*k - 3*k + 0*k) + (6*k - 6*k - 4*k**2)*(-247 - 31 - 74).\nAnswer: 1411*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i + 43*i = -37*i - 448 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 101952 = 7*c. Suppose 12*h - c = -0*h. List the prime factors of h.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4040 + 78*w**3 + 4038 + 9*w**3 - 27*w to z*w**3 + i + f*w + s*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 397 = 6*g - g, -4*g - d + 323 = 0. Suppose -4*x - x = -g. Let r = 10 - -6. What is the greatest common divisor of x and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(19) + -1 + 6*sqrt(57)\/sqrt(3).\nAnswer: -7 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -14. Let a(i) = i**2 + 6*i - 10. Let n be a(-11). Let q = w + n. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (82 - 62 - -4) + 8\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11342 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63919271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 9*n - 6. Let v be h(-6). Let y = -7 + v. Solve 0*u + 25 = -y*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 25 = 0. Suppose -2*c + 5*c = j, u*j = c. Let f(s) = s**2 - s - 3. Give f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -211221022?\nAnswer: -211221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 2*b - 25 - 3*b in the form a + u*b and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*a + 705 = 0, 348*f + 5*a + 141 = 349*f. Let l be -10*(-2)\/4 - -1. Calculate the greatest common divisor of l and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4857175.26 microseconds?\nAnswer: 0.00000803104375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c - 25 = 50*c. Let q be 20\/25 + 1\/5. Suppose -2*f = -q - 9. Solve 3*n - f*p + 4 = 11, 0 = -c*p + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 2*f**4 + 4*f**2 - 2 - 2*f**2 - 3*f**2 + 1 + 5*f**3 as k*f**2 + b + v*f**4 + m*f + y*f**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1200 (b) 72\/11 (c) 1.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -24 - (120 + -138)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2893*0.2\nAnswer: 578.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.8, 0.06, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24583, -25122, -25663, -26206?\nAnswer: -26751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 83*k**3 + 4*k**2 - 4*k - 79. List the prime factors of h(4).\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/3 - 18*w**3 + 4081*w**2. What is k(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*s + 81, 6*s - 2*v - 66 = 2*s. Suppose 2*w - w - 4*g + 7 = 0, -3*w + 9 = -2*g. Let y be (40\/(-32) + w)\/(3\/8). Solve -y = -5*u + s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6883.\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -174\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7*l + 62. Let x = l + 28. Let m be (2\/28)\/(-3*x\/(-18)). What is the third biggest value in 0.5, 5, m, -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/51? (a) 1\/3 (b) 260 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let x be (0 + 5)*(1 - -2). Suppose -t*k - x = -3*l, -4*l + 2*l + k + 12 = 0. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524768, -3, 28 in decreasing order.\nAnswer: 524768, 28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -42.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*v**3 + 3*v + 104*v**3 - 52*v**3 - 51*v**2 - 6 - 3 + 6 as l + b*v**2 + t*v**3 + s*v and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20598012 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.0407733?\nAnswer: 0.4485063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*234\/819\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-30))\/(-9)*-5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -454*g**2 - 24*g - 61. Calculate r(-1).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -25. Let s(m) = -m**3 - 5*m**2 - 17*m - 5. Let w be s(-5). Calculate the greatest common divisor of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(12\/(-9))\/2. Let x = -22 - -15. Let i = -6 - x. Put -3, i, g in descending order.\nAnswer: i, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 158*x**2 + 20*x - 178.\nAnswer: 2*(x - 1)*(79*x + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let b(s) = -8*s**2 - 7*s - 15. Let v(g) = -18*g**2 - 16*g - 32. Let t(q) = -7*b(q) + 3*v(q). Is t(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) -0.1 (d) 2 (e) -0.19 (f) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let l(h) = 1. Suppose -3 = u + 2*u. Let g(w) = u*i(w) + 4*l(w). Let z be g(-4). Solve z*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*m - 25. Let t(n) = n**2 + 8*n - 4. Let q be t(m). Solve -3*z + 2 = -q*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let s(d) = i*d**2 + 2*d**2 - 6*d**2. Let q(z) be the second derivative of z**4\/12 - 2*z. What is q(s(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let o(i) = -i. Let h(f) be the first derivative of -3*f**2 - f - 3. Let r(t) = k*h(t) + 5*o(t). What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(16)\/sqrt(2))*4 + -4 + (sqrt(625)*1 + sqrt(625))\/(-2*sqrt(605) + sqrt(605)))**2.\nAnswer: -272*sqrt(5)\/11 + 7716\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77914?\nAnswer: 2, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955061 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18815084 and -0.5.\nAnswer: -9407542","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 722528148*o**3 + 30239978*o.\nAnswer: 4335168888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 19 + 40 = -5*s, 0 = 4*x - 4*s - 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -82*1\/30 + 3. Let g(s) be the first derivative of -2 - 1\/10*s**4 - 1\/5*s**2 + 0*s + c*s**3. Let g(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 35482821.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*h - 26*h - 883 = 250 + 1107 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*(-10)\/(-4). Suppose -3*p + 16 = 4*s + p, -4*s - p + 10 = 0. What is the third derivative of 5*n + n**3 - 2*n**s - h*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19495415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247.201*2.\nAnswer: 494.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 29 + 5 = n, -5*s = 3*n + 76. Let t = n - -62. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/110 in -0.3, 3\/7, 346?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8*2)\/((-9)\/((-9)\/(-2))). Let f be 14\/4 + (-2)\/4. Solve j*g = f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -79. What is the second smallest value in 5\/8, 2\/5, b?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 28 = -22. Let k(a) = -a**3 - 5*a**2 - 2*a - 9. Let c be k(-5). List the prime factors of (-5)\/q*c*-44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 25*k**3\/3 - k**2\/2 + 104*k + 25. Is v(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99604389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -146198 (base 10) in base 2?\nAnswer: -100011101100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 + 5551*h**2 - 2771*h**2 - 3*h - 2773*h**2 in the form q*h + a*h**3 + p*h**2 + z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 118\/5. Let c = 0.9 + -1.2. Put n, -0.4, c in decreasing order.\nAnswer: n, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 121*z - 52. Let i(k) = -k. Determine i(v(g)).\nAnswer: -121*g + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 18 + 18 - 13*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 8.3. Is -3 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/599 (b) -4 (c) 5 (d) 3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 60548.39171 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.71 - 10.7. Let m = x - 0.01. Sort -2\/5, -1\/6, m in descending order.\nAnswer: -1\/6, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -b - 3. Suppose b*q = 5*q + 30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let o be -3*(-3 + 8\/l). Sort -14, o, 5 in descending order.\nAnswer: 5, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -3*t. Suppose t = 3*m - 957 - 1680. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Let p(f) = 2*f + 3*f - 10*f - 4*f. What is c(p(k))?\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let i(u) = -u - 11040085. Determine i(w(g)).\nAnswer: 2*g**2 - 11040085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 2*c - 3, -10 = 5*c + q. Let y(h) be the third derivative of -h**4\/24 + h**3\/2 - 13*h**2. What is the units digit of y(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001816694 to six dps.\nAnswer: 0.001817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 2, p: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21173 by 3.\nAnswer: -21173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29626 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -28*(-2 - -8)\/(-6) + -11. What is the highest common factor of 5117 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 12 + 84)*(662 + 2*z + z - 648).\nAnswer: 264*z + 1232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomymoooc. What is prob of sequence mco?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -14*z - 4*i, 0 = 6069*z - 6072*z - 2*i + 27 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-28) - (-2320)\/35. Suppose 18*r - z = 12*r. Solve -5*t + r = -14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*-2*sqrt(1872)*5.\nAnswer: 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 252, 1014, 2284, 4062, 6348, 9142, 12444?\n\"Answer: 254*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.348 + -0.048. Let g = -6237 - -6240. Sort 21, t, g in decreasing order.\nAnswer: 21, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 0.073?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/5 - 371*b**4\/3 + 69920*b**3\/3 - 203136*b**2 - 13*b + 7. Determine g, given that c(g) = 0.\nAnswer: 3, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + (-80 - -228 - 71).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219 - -1?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770 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: What is -10 - -1521826.43574?\nAnswer: 1521816.43574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5 - 42\/35.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3235941557 to the nearest integer?\nAnswer: 56885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 384 - (-5)\/(40\/6)*-4. Let t = m + 320. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -302, 1, -2, -241, 4, -9 in increasing order.\nAnswer: -302, -241, -9, -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - 14\/(56\/12). Solve 3*q - 11 + 2 = j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 5 = -y. Let h(a) = -3*a + 47*a**2 - 18*a**2 + 3*a + a - 3*a. What is the tens digit of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d - 72. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2094 + -1794. Calculate the lowest common multiple of 825 and g.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -9. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-3360)*(-48)\/126?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355088 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*a - 4*a - 37, -2*z = 4*a - 36 + 46 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 14) in base 15?\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.26 + -294.26. Let a = 279.48 + q. Let k = -0.68 + a. What is k rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6361*w + 4403*w - 420242 - 27798 = 1024*w for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -863322.\nAnswer: 5\/863322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 + 5)*-5)**2 - ((-2*sqrt(288))**2 + (0 + sqrt(72))**2).\nAnswer: -549 - 250*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -6 - r = 4*n. What is the tens digit of 1\/n*(2 - 28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6 - 3*i - i**2 + 11563*i**3 - 11562*i**3 + 2*i. Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.725725?\nAnswer: -1.45145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 55*x**3 - 200*x**2 - 240*x.\nAnswer: -5*x*(x + 3)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qqzq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4328 divided by 1082?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136\/3 + 46. Let z = 11\/60 - 7\/12. Which is the second biggest value? (a) x (b) -2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k - 105. What is z(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 1. Let v(t) be the second derivative of t**5\/20 + t**4\/6 + t**3\/2 - t**2\/2 + 497*t. Determine -v(g) - y(g).\nAnswer: -2*g**3 - 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 145. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**4 + 2*l**4 - 2*l**4 + (-38*l + 39*l**3 + 38*l)*(2*l + 6*l - 6*l) to j + o*l + i*l**3 + p*l**4 + a*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 169*y**2 - 642166980*y + 610027263612900 = 0. What is y?\nAnswer: 24698730\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 226 - -625?\nAnswer: 84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 12. Let v = -4.00026 - c. What is v rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594491 - 594472.99985. Let h = -18 + j. Round h to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptppttpuuuutppt. Give prob of sequence tt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, i: 7, s: 1, j: 4}. What is prob of picking 2 q?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + ((sqrt(110)*1)\/sqrt(10))**2 - ((1*sqrt(1584))**2 + -2)).\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(325) + 0)*-5 - sqrt(325)))**2*1.\nAnswer: 300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187385 divided by 120.\nAnswer: -37477\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*t + 8 = 0, 2*n + t + 0 = 9. Let -72*f - 14*f**3 - 22*f**2 + n + 12 + 82*f**2 = 0. Calculate f.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -b + 25. Suppose 3*j - 74 = -4*y + j, -3*y - 5*j = -52. What is the highest common divisor of b and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -19 - -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04995 to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*i**5 - 29*i**5 + 11*i - 4*i wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511225654?\nAnswer: 2, 3, 11, 27834473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*b**2 + 370*b + 91971 wrt b.\nAnswer: -26*b + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9618691?\nAnswer: 29, 47, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(112)*2*1)**2 - 3*((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(7) - (sqrt(77)*-1)\/sqrt(11)).\nAnswer: 39*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**5\/50 + o**4\/8 - o**3\/30 - 21*o**2\/20 + 9*o\/5 - 60. Suppose g(b) = 0. Calculate b.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**2*n**2 - 5*j**2*n + 198263*j**2 + 984*j*n**2 + 19491*j wrt j?\nAnswer: 38*n**2 - 10*n + 396526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) + (-27)\/(-30). What is s in -h*s**5 + 0*s + 0 + 4\/5*s**4 + 0*s**2 - 2\/5*s**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 195\/21 + (1 - 45\/35). Suppose -2*k + 1353 = q*k. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 90 - 10 = 0. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 4) to base 6\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9145.\nAnswer: 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r**2 + 2*r. Let g(p) = -5*p - 6. Let b(y) = -14*y - 17. Let j be 2\/(((-168)\/(-34) + -5)*2). Let v(l) = j*g(l) + 6*b(l). What is s(v(u))?\nAnswer: 25*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 0, -3*k - 17 = -4*d - 27. What is the nearest to 16\/5 in 0.5, 0.6, -0.1, d?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 64, 125, 218, 355, 548, 809?\n\"Answer: 2*y**3 - 2*y**2 + 33*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2*(-11)\/2. Let a = 297 + -295. Suppose a*r - 7*r = -2*d - 444, -2*r + d + 178 = 0. Calculate the highest common factor of h and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, -107, -1105, -2699?\nAnswer: -4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-14) + 3 - (-8)\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:51 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/16 and 32\/7713.\nAnswer: 123408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:32 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 765 and 45.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = -3*o + 11, -2*o - 4*w = 0. Suppose 2*g + j = 6*j - 10, -j = o*g - 14. Find the first derivative of g + 4*d**4 - 4 - 3*d**3 + 3*d**3 wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 250377551*w + 261563446.\nAnswer: 250377551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b**2 + 5*b - 3. Let w(h) = -h + 1. Calculate f(s) + 4*w(s).\nAnswer: -10*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*z - 0*z + 2*m, 3*m = 4*z - 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enrve. Give prob of sequence enrv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 30. Let v be a(8). Let w be ((1 - v) + -1)\/1. Is w\/9 - 284510\/(-90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -54. Which is smaller: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -41\/5*c**5 + 0*c**4 + 7 + 0*c**3 + 0*c**2 + 30*c. Find the first derivative of r(o) wrt o.\nAnswer: -164*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 48 + 15 = 0. Let u = d - 5. What is the greatest common divisor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27477 - 0?\nAnswer: 27477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(245)*-1*-5 + ((5*(sqrt(245) + -1) + sqrt(245))*-6)**2.\nAnswer: -15155*sqrt(5) + 318420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151 - -170. Solve 20*g = b*g - 4*s - 7, 4*g + 3*s = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 1890.\nAnswer: 170.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*-2*sqrt(605) - sqrt(605))*5 + -5 + (sqrt(605) + -1 + 3 - sqrt(605)) + -3 + -3)**2.\nAnswer: 5940*sqrt(5) + 544581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 - 8101\/32. Let r = 47533\/20 + -2378. Calculate the common denominator of v and r.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from wpggaagg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 94*b**2 + 39*b + 57. Is 85 a factor of l(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(6*o - 4*o + 0*o) + 4*o - 3*o - 7*o + 0 + o + 0.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**6 - 197\/3*n**3 - 143\/7*n**7 + 0*n + 91 + 0*n**5 + 0*n**2 + 0*n**4. What is the third derivative of p(s) wrt s?\nAnswer: -17160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -203*d**2 + 2*d + 1. Let b be q(-1). Is ((-9)\/6)\/(6\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176568 and 1058568?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4363827.469 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8045*t**2 - 8045*t**2 + 25678*t**3.\nAnswer: 25678*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 + b + 1. Let v(x) = x**3 - 4*x**2 + 2. Let o be v(4). Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (158\/(-54) - 1 - (-3956)\/(-53406))*606\/24?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2216 + -2166 + -142 + 3\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.4 + -63. Let p = 2.6 + n. Let v = -5 + 5.3. What is the nearest to 0 in p, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -61896\nAnswer: -12379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*w**2 + 328864996*t**2*w + 297222*t*w**2 + 11*t*w + 2*t + w**2 - 1 wrt t?\nAnswer: -4*w**2 + 657729992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75015 (base 9) to base 5.\nAnswer: 3041321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 410099*o + 2870747. Give d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 1734*u**2 - 2009*u**2 + 5*u in the form a*u + n + y*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4680 and 80.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddded. Give prob of picking 4 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 5*z. Suppose z*q = -2*q + 10, 0 = -4*u - 2*q + 48. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/14)\/(6\/42))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1274434842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/9)*r**(-3)*r**9\/((r*r**3)\/r))**(-39) assuming r is positive.\nAnswer: r**(-611\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 275 = 2*j. Calculate the remainder when j is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010020 + 10?\nAnswer: 1010030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -41. Suppose -19*v + r*v - 1002 = 0. List the prime factors of v.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 7112.\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Let u = 191 - 191.3. Which is the nearest to j? (a) -1 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 28*n**2 - 28*n + 27. Calculate i(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528248?\nAnswer: 2, 17, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 5 = 0, 4*a - 1377 = -5*f. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -27*v**3 + 651*v**2 + 596*v + 82. Determine z(25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (243\/(-216)*10116 + (-1)\/2). Calculate the greatest common divisor of z and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -678*t**5\/5 - t**2\/2 + 249*t + 106. Find the second derivative of y(s) wrt s.\nAnswer: -8136*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6114*-0.1\nAnswer: -611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-51 - 28) - (-106 - -3)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85560991?\nAnswer: 29, 449, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3463, 3951, 4439?\n\"Answer: 488*p + 2975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - (0 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(180) + 5 + -3*sqrt(315)\/(sqrt(7) + sqrt(21)\/sqrt(3)))*4*6)**2.\nAnswer: 108864*sqrt(5) + 312336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2847 is divided by 178.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 390987.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26568a - 0?\nAnswer: -26568a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3938 and 6802?\nAnswer: 74822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -47. Let h = 7 + -5. Solve h*f + 0*i - 4*i - c = 0, -4*i = 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1180 in -4\/3, -1.1, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187535369.\nAnswer: 3, 193, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13959, 14889, 16441, 18615, 21411, 24829?\n\"Answer: 311*p**2 - 3*p + 13651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-12)*l*l\/(l*l\/l**(2\/33)*l)*(l**(-2\/31)*l*l)\/((l*l\/(l\/l**(4\/5)))\/l) assuming l is positive.\nAnswer: l**(-50147\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*3*sqrt(170))\/sqrt(10) + ((sqrt(204) - (sqrt(204)*3 - sqrt(204)))\/sqrt(12)*-4)**2).\nAnswer: -544 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*d - 81*d - 76*d - 37*d.\nAnswer: -83*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-4))\/((-16)\/23548). Let i(u) = 133*u**2 + u - 3. Let x be i(-5). Let h = x - k. Calculate the common denominator of h and 45\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/17136 and 49\/2448.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103024 and 10.\nAnswer: 515120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g**2 - 2*g - 1. Let t be j(-1). Let y = t + -21. Solve 2*s = -y*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005544 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-24)\/15 - 584\/40. Which is the biggest value? (a) -2 (b) w (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, l: 3, b: 7, j: 1}. What is prob of sequence ls?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1836\/187 + 10\/55 - -5. Suppose -2*a + 32 - 75 = -5*g, 5*a = g - 27. Let o be g*(-11)\/(-222) - 5\/n. Are o and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -314, 90, 4 in ascending order.\nAnswer: -314, -2, 4, 10, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30500 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11836813.39 rounded to the nearest 10000?\nAnswer: 11840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25512 - -332?\nAnswer: -25160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.6 - 119.6. Put -1\/3, r, -0.1 in descending order.\nAnswer: -0.1, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 7\/5, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 2, g: 2, l: 2}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*m + 7*m + 29 - 26 as x*m + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:43 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q + 41 - 55)*((-3 + 1 + 3)*(-2*q - q + 5*q) + 4*q - 2*q - q).\nAnswer: 9*q**2 - 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3771, -7545, -11319, -15093?\nAnswer: -18867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12887, 51540, 115961, 206150?\nAnswer: 322107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1411, 8966, 29465, 69376, 135167, 233306?\n\"Answer: 1078*h**3 + 4*h**2 - 3*h + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05386 to 3 dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 6. Suppose 0 = -5*f - 2*r + 6, 2*f - 6*f - 3*r + j = 0. Suppose i - f*y + 4*y - 13 = 0, i - y - 4 = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 11. Let k(v) = 1. Let x(o) = k(o) + z(o). Let h be x(-9). Suppose h*y + 129 = 327. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -183. Suppose -14*p + g = -455. Suppose 3*q - q + x - 25 = 0, 3*q - 51 = 3*x. What is the remainder when p is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 7. Let m be r(0). Let u be (9402\/5)\/(m\/(-5)). Let p = u - -1340. What is the common denominator of p and 151\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g + 1\/60*g**5 + 2*g**2 + 1\/120*g**6 + 0 + 1\/24*g**4 + 1\/2*g**3. Let x be t(0). Solve -3 = x*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 67 - 16 - 16 - 7 + 153*x - 151*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.3 - 8. Let h(v) = 6*v**2 - v. Let f be h(-1). Suppose -3 = 5*k + f. What is the third smallest value in b, k, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -32\/47, -2\/123, -4, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39065794 is divided by 2244?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 - -0.8. Let t(c) = -2*c + 1. Let r be t(1). Put 2\/7, z, r in ascending order.\nAnswer: r, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k**2)*(-1 - 2 - 2) + (-3*k - 2*k**2 + 3*k)*(392 - 753 + 392).\nAnswer: -67*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9. Suppose p = 5*f - f - 16. Suppose f*l + 3*l**2 + 0*l - l**2 = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634278856 divided by 317139428\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181196 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q - q)*(4 - 1 - 1)*(-618*q + 629*q - 693*q).\nAnswer: 2728*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.185?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20.3 (b) 0 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 17*x + 15. Let p(v) = -v**2 - 9*v - 8. Let z(q) = 7*p(q) + 4*w(q). Let m = 33 + -21. Let g be (-51)\/m - 1\/(-4). Calculate z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114661890 by -1665.\nAnswer: -68866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(4\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 792662808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -116*z + 47 + 0*z**2 - 1\/3*z**3 + 22\/5*z**5 + 0*z**4. Find the first derivative of t(g) wrt g.\nAnswer: 88*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5883617?\nAnswer: -1\/5883617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 3 (b) -1\/2 (c) 0.099 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*((-600)\/(-72))\/25.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-14\/3)\/y)\/y)**(-21\/2)\/(y**0*y)**(-14\/3))**46 assuming y is positive.\nAnswer: y**(10304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -7. Suppose 7*t - q = 3*t. Suppose 3*n = t*n + 22. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 145*d**2 + 77*d - 354. Is 3 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 1. Suppose -b = 3*x - 5*x. Does 5 divide (x + -1)*133\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.014436 to one decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 5*l**2 - 4*l + 12. Suppose -q = v - 3 + 5, -5 = 4*v + 5*q. What is the remainder when 91 is divided by y(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41597*o**4 + 1838?\nAnswer: -166388*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 19*y + 14*y + 5*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1298*a**2 - 14 + 32 - 24 + 6 in the form o*a**2 + q*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p - 40 = 19. Suppose -5*g = 11 + 14. Which is the nearest to p? (a) -1\/3 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 15*n**2 + 32*n - 80. Let m be d(6). Which is greater: -122 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1665.\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/2520 + n**5\/280 - 5*n**3\/6 + 2*n**2. Let l(t) be the first derivative of m(t). Let l(r) = 0. What is r?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/2 + ((-11596)\/(-42) - 310\/3255). Suppose -5*a + 21 = -z, -5*a + 41 = 4*z - 0*z. Suppose z*m - 167 - v = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*f = -13 + 44, 11 = -2*h + 3*f. Let q be h\/(0 - (0 - -2)). Suppose 116 = q*g + 16. Solve v + 2*w = 4*v + g, -v - w = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141 is divided by 2156.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = 3*c. Is (-1)\/(-3)*(-39)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -2*l**3 - 3*l**2 + 1. Suppose 70056 - 6858 = 3*z. Let p(k) = 6*k + 5*k**2 + k**3 - z - k + 21066. What is -5*n(w) - 6*p(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 81. Suppose v = -24 + r. What is the least common multiple of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -27. Let s be (-195)\/26*212\/n. Suppose -3*c + s = 2*l, c - 4*l = -0*l + 93. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94318235.\nAnswer: 5, 11, 1249, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64255376 rounded to 4 decimal places?\nAnswer: 2.6426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137127 (base 14) in base 2?\nAnswer: 10100100001011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and 37\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9612 + -9613. Put 754, c, -3, 0, 4 in decreasing order.\nAnswer: 754, 4, 0, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/180 - 16*v**3\/3 + 30*v**2. Let j(s) be the first derivative of h(s). Let x(g) = -20*g**2. Give x(j(i)).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(4\/(-12))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 17, 13, 5, -7, -23, -43?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302562 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4140, -8704, -13268, -17832, -22396?\n\"Answer: -4564*n + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 + 76 - 38 - -60?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488 + 9*g**3 + 488.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39437?\nAnswer: 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1798524*c + 3607444*c - 1793842*c)*(c**2 - 2*c + 2*c) to the form h + m*c + o*c**3 + z*c**2 and give o.\nAnswer: 15078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -9720844?\nAnswer: -38883376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + z**5 + 0*z**5 + 1 - 3 - 6*z**5 + 7*z**5 + (-z**3 + z**3 + 2*z**3)*(4*z**2 + 0*z**2 - 11*z**2) + 4*z**3 - 4*z**5 - 4*z**3.\nAnswer: -16*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24039*u**3 - 9154*u**3 - 7062*u**3.\nAnswer: -40255*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a gram in milligrams?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:02 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 - 345 - 161)*(0*t**2 - t**2 - t**2).\nAnswer: 564*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/2 + 5641*v - 45160 = 0.\nAnswer: -11290, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 2*j. Let c be s(-2). Suppose 18*v + 20 = -8 - 62. Sort c, v, -3 in decreasing order.\nAnswer: -3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 2*u - 7. Calculate the remainder when c(2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 + 6*x + 5. Suppose 5*p + 27 = 5*t - 3, -3*t - 4*p = -18. Suppose 4*n = -58 + t. Let r be (n - -4)*2\/(-3). What is q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - ((-142 - 2) + -1) is divided by ((-777)\/(-12))\/((-511)\/(-292))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816712819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f**2 - 21*f**2 + 14*f**2)*(17 - 11 - 19).\nAnswer: 390*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 59 (c) 11\/3 (d) 4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*n = -2*r + 100, -4*r = n - 100. What are the prime factors of 1940\/(-16)*(-120)\/r?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4\/16)\/((-3)\/(-24)). Let n be (1 + -1)\/(3 - 5). Solve 2*f = -n*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 7*h - 4 + 0. Suppose -9*x = -17 + 143. Let o = x + 10. Let i(j) = -3*j - 3. What is o*f(w) + 5*i(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25196, 50431, 75666, 100901, 126136?\n\"Answer: 25235*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u*u*u**(-4\/11))\/u)*u\/u**(1\/36) assuming u is positive.\nAnswer: u**(925\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 39*p**2 - 31*p**2 - 1 + 5*p**2 + 1. Let l(q) = -45*q. Calculate d(l(m)).\nAnswer: 26325*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 28 = -6. Solve 4*w = -k - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700258*m**3 - 296*m**2 + 315*m - 3.\nAnswer: -4201548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(214\/53 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(187)\/(sqrt(44)\/sqrt(4)) + 0)**2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(3*5\/(-165)) + -13.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**3 + 4*p**2 - 3*p. Suppose 3*n = 2*o - 17, -n + 6 = -2*o + 13. Let f be q(o). Let i(m) = 7*m**2 - 22*m + 12. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(8\/13)*w*w*w*w**(-10)*w\/((((w\/(w*w**(-2\/9)))\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(-593\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269337 to the power of 1\/2, to the nearest integer?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 200028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 u, and 1 i when four letters picked without replacement from {y: 1, u: 2, v: 5, l: 4, i: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48.56 + 0.44. Let t = k - 46.69. Round t to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*r**4 + 42*b**2*r**3 + 3*b**2*r - 25*r**2 wrt r?\nAnswer: 24*b**2*r + 252*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**4 - 3 + 3)*(6*y - 11*y - 7*y) + (-3*y**2 + 2*y**2 - 2*y**2)*(2 + 2*y**3 + y**3 + 0).\nAnswer: -81*y**5 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1 - 13*i**2 - 11*i**2 + 25*i**2 + i**3. Let j be h(-1). Solve -2*o = 2*n - 16, -4*n + o + 10 + 2 = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*u + 124 = 3*u, 5*u = 2*w - 41. Let p = w - 32. Calculate the common denominator of ((-3)\/3)\/p + (-41)\/(-32) and 11\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 8. Suppose -4*h = 4*t, v = -h - 5*t + 29. Which is the second biggest value? (a) 2\/9 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441697 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(6 - 160\/12). Let k = z + 178. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39101471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 477337417 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: Factor u**2 + 429948004*u + 46213821535896004.\nAnswer: (u + 214974002)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 102, -0.4, -2, 2\/7, 12\/293, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668270.\nAnswer: 2, 5, 17, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9049 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1585.6467 + 30.9767. Let m = z - -1563. Let g = m + -9.3. Round g to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-558)\/(-310))\/(2*9\/1050). Solve -28 = -19*q + j for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 31*c**2 + 3*c - 96. Let d = -4 - -6. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(-2)*z*z**13 assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + -110. Solve 2*f - n = -2*f, 3*w - 3*f = -18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*x = -56630, 7*x = -3*t + 8*x + 33970. What are the prime factors of t?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12130714201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 16. Suppose 3*b - k = -0*b. Let x(l) = -l**3 + 12*l**2 + 18*l - 7. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-9)*87\/957*288\/3216?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -20*j**3 + 9*j**2 + 13*j. Let a(s) = -17*s**3 + 9*s**2 + 12*s. What is -6*a(z) + 5*u(z)?\nAnswer: 2*z**3 - 9*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + -2245788.44757.\nAnswer: -2245788.37757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -1\/3*y**4 + 0*y**2 + 17 - 67\/20*y**5 - y + 4\/3*y**3. Find the third derivative of t(j) wrt j.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49207*c - 81 = -49234*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 15*x - 780 = -58*x. Suppose 2*g = 2*a + 37 - 339, -759 = -5*a + 4*g. What is the remainder when a is divided by x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140934530317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 238?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 1\/2, -1.6, 0 in ascending order.\nAnswer: -1.6, 0, 1\/2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16220029 and 91.\nAnswer: 210860377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 5484?\nAnswer: 5487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (572\/66)\/(4\/546)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q + 32. Differentiate -22*w**2 - 1 - 7 + q*w**2 - 3 wrt w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714853*c**3 - 5429674*c**3 + 2714834*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/20 + s**4\/2 + 2*s**3\/3 + 27*s**2\/2 + 12*s + 2. Let z be k(-6). Solve 0 = 4*c + z*x - 10, -4*c = -6*c - 4*x + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 3}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 10. Let z = -233\/4 + 59. What is the third biggest value in -35, z, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y + 132. Let g be 25\/(-5) + (2 - -25). What is the highest common divisor of g and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 - 105 - 1 - 31?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*s + 1, l = 2*s - 2 - 2. Let o be -2 - (2\/2 + -3). Is l >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-4)\/3. Suppose -y*a + 5*a - 6 = 0. Find g such that 2 + 12*g**2 + 12*g + 5*g**3 - a*g - g = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 105 = 160 + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36093 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -883633, -1769520, -2655405, -3541288?\nAnswer: -4427169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-141)\/45 - (-12)\/90. Put 2, -90, s in ascending order.\nAnswer: -90, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-100)\/16))\/(12\/300*310)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + f**2 - f - 4. Let c(w) = -7*w**3 - 4*w**2 + 4*w + 15. Let p(d) = 6*c(d) + 22*q(d). Suppose -7593 + 7707 = 57*i. What is p(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323898.7 years in centuries?\nAnswer: 3238.987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -410556 divided by 12?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(8\/(-6))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7776, -7746, -7716, -7686?\n\"Answer: 30*t - 7806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2*((-28)\/(-6))\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 = 0, 7*c - 3*c + 8*f = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f + 1. Let q(w) = w**2 + 2*w - 1. Let d(l) = -l**2 + 4*l - 2. Let v be d(4). Let j be q(v). Calculate s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74018883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 5, 1169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*k - 22, 2*k - 25 = -4*c + 3. Suppose 3*w + 122 = -4*n, 0*n - 80 = 2*w + 2*n. Let j = w + 61. Calculate the remainder when j is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/39220 and -173\/117660.\nAnswer: 117660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 939263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 1. Let s be a(0). Let q be (s + -15)*(-7)\/(-14). Let x = 27 + q. What is the highest common divisor of x and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 35 = 5*y, o - 3*y - 38 = -13. Suppose -3*v - o - 38 = 0. Let i = v + 20. Solve i = -q - 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10975 (b) 0.5 (c) 4 (d) -25\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10944*h - 10863*h + 298*h**3 - 36*h**3.\nAnswer: 262*h**3 + 81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:40 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204933949*n + 232643963 with respect to n.\nAnswer: -204933949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*10\/(-50)*2*3\/(-6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*g, -4*t + 2*g = 5*g - 7. Suppose -5*w - t = -3*v + 1, 3*v - 16 = -2*w. Solve -2*o + 14 = -2*f, -2*f = 3*f - v*o + 33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l - 1. Let z be q(-1). Let c = z - 13. Let n be (-1 - c)*(-8)\/60. Which is bigger: n or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, -531, 17, 2 in decreasing order.\nAnswer: 17, 4, 2, -3, -5, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2197979 divided by -2\nAnswer: -2197979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*p + 96795, 7*p - 5*p + 161334 = 5*u. Suppose -35349 = -9*s + u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*f - 17 = -422*f - 5 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = -94*h + 101*h. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385416979.\nAnswer: 47, 53, 457, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/15)\/((-3)\/9). Suppose 4*h + 5*o = -6 - 3, o - 3 = i*h. Let p(n) = n**3 + 3*n**2 + n. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxzzhxzxxhzz. What is prob of picking 1 z, 2 x, and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:52 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/39))**(-44) assuming s is positive.\nAnswer: s**(88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + l - 1 = -2*l, 0 = 3*a + 2*l - 18. Suppose 0*c + 3*z = -a*c + 223, 5*z = 4*c - 183. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.11 * -0.2161.\nAnswer: 23.794771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Which is the nearest to -0.1? (a) -4 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -87. Suppose -5*q = -5*p + v, -6*q = -4*p - q + 18. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889278 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/82 and 105\/315*(-138)\/8.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-3\/2))**14\/(j**(10\/7)\/j**(-6\/13)))**(-2\/103))**(-20) assuming j is positive.\nAnswer: j**(120520\/9373)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**10\/15120 + o**9\/3780 - o**8\/3360 - o**7\/630 - o**4\/12 + 4*o. Let p(q) be the third derivative of j(q). Factor p(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + y - 1 - 2*y. Suppose 2*q - 5 = 3*q. Let m be (-1)\/2*(-3 + q). Let s(j) = 5*j - 3. What is m*d(x) - s(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 742897, 1485806, 2228715?\n\"Answer: 742909*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbowoobb. Give prob of picking 1 b and 1 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -5. Let g be (-2)\/8 + u\/44. Suppose g = 2*h - b - 26, -8 = -2*h - 3*b + 26. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10392 and 20.\nAnswer: 51960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -80, -124?\n\"Answer: -44*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5396 + 5913. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 16. Let g = q + -6.9998. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u + 31*u - 59*u)*(328*u - 1339 + 677 + 664).\nAnswer: -328*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 12*t**4 + t - 15*t**4 + 3 - 3 + t**4 + (4*t + t - 6*t)*(-3*t**3 + 3*t**3 + 2*t**3) + 2*t**4 - 1 + 1.\nAnswer: -25*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-42) - 4\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 705 - 222. Suppose -29*b = -8*b - x. Solve -5*p + 2 = -b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 312\/315 + 24\/(-28). Which is the fourth biggest value? (a) -0.3 (b) 3 (c) y (d) 19\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5595628406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*w = 3157*w + 39621 + 16997 + 4735 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34331 times 0.172?\nAnswer: 5904.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*z**2 + 255308 + 837*z**2 + 211*z**2 - 255308.\nAnswer: 908*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -681.171 plus 4.2?\nAnswer: -676.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78280 + -88.042046.\nAnswer: -78368.042046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2606\/125269?\nAnswer: -2606\/125269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let n(z) = z + 1. Let o(s) be the first derivative of s**3 - 2*s**2 - 4*s - 2. Let b(w) = 4*n(w) + o(w). Give b(p(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*30\/(-66)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 13\/4, 4\/3, -13 in decreasing order.\nAnswer: 13\/4, 4\/3, 0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l + 26*l - 2*l**3 + 19*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/24 - d**2. Let t(z) = z - 4. Let v(w) = 0*w + 3*w + 0*w - 11. Let c(y) = 11*t(y) - 4*v(y). Give c(j(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6066 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 47, 243, 635, 1289, 2271, 3647?\nAnswer: 5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from {h: 5, m: 5, f: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -1376*q**5\/5 - 396*q**2 - 1225. What is the second derivative of z(b) wrt b?\nAnswer: -16512*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 8*g**4\/3 - g**3\/2 - 88*g. Calculate w(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4065491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*y + 4*q - 220, q - 244 = -4*y. What is the units digit of 345\/y + (-2)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 2, y: 1, k: 2, t: 1}. Give prob of picking 1 t, 1 m, and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + 0*f**3 - 2*f**3)*(-3*f**2 + 0*f**2 + 4*f**2) - f**5 - 6*f**5 + f**5.\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u - 10*u + 24*u + 53*u - 1.\nAnswer: 107*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988*w**2 - 2*w - 126*w**3 - 988*w**2.\nAnswer: -126*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -22 - ((113 - 88 - -22) + -11)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7*l - 5. Let y be m(-8). Let b(q) be the first derivative of q - 2*q + 2 - 2*q + 2*q**2 + 2*q - q**y. Factor b(h).\nAnswer: -(h - 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.227 + -187.53.\nAnswer: -187.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-144)\/(-30))\/8*5. Solve 27 = -r - 0*x + 5*x, 26 = -b*r + 4*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 - 1688*j**2 + 46*j + 836395 wrt j.\nAnswer: 8*j**3 - 3376*j + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -46168*t - 2723908. Determine n(-59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4 - 11 + 8\/3*w**3 + 6*w**2 + 0*w. Determine n, given that x(n) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1979 = -12*a - 1907. Let d(j) be the first derivative of -j**4\/4 + 7*j**3\/3 - 3*j**2 + 6*j - 2. Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 9f1ec6 (base 16) to base 13\nAnswer: 2211699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 1, j: 5, g: 1, u: 2, y: 5}. What is prob of picking 1 w and 1 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g + 3*g + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 38 - 2 = 0. Sort -4, x, 3.\nAnswer: -4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let d(v) = -v + 1. Let z(m) = 11*m - 12 + 8*m + 8*m**2 - 7*m. Let w(r) = 12*d(r) + z(r). What is w(s(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.023 + -0.977. Let m = 3 + -6. Which is the nearest to 0.1? (a) m (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9269989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/9 - 208*g**2\/9 - 206*g\/9 = 0.\nAnswer: -103, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 7*a**2 - 9*a + 8. Let g be l(8). Suppose 3*x + 2*x + 20 = g. Let f(j) = -2*j**2 + 2*j**2 + 1 - 2*j**2 + 5*j - j**3. What is f(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1\/6 (b) 0.8 (c) 0 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:49 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1*(-79)\/(13430\/476).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6869? (a) 146 (b) -3 (c) -5 (d) -1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 314156 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 529435214 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 10. Let f = l - 15. Let p be (2 + 1)*(-8)\/f. What is the highest common factor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -161?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {p: 1, i: 4, k: 2, l: 1, n: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/50 + 1693\/850. Determine q so that 10\/17*q**2 + 8\/17 - o*q = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 8*q - 2. Let m be d(4). Let h be 40\/m + 1 + 1. Put 3, h, -3\/5 in ascending order.\nAnswer: -3\/5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 364 and -2873321397?\nAnswer: 2873321761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, -132679\/49, -0.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 - 14*u + 11. Suppose -7*m - 67 + 11 = 0. Let p be r(m). Let x = -6 + 2. Put p, -2, x in decreasing order.\nAnswer: -2, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 90) + (-2805 - -3044)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -35. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77745110.2108 - -8\nAnswer: 77745118.2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.098 or 90?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(-1 - 2 + 1) + 0 + 1 - 3 + 5 - 2 - 1 - 2 + 2 + 1)*(4*r**3 - 166*r**3 + 18*r**3 - 161*r**3).\nAnswer: -1525*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 233. What is o(-4)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -655 (b) -0.3 (c) -3 (d) -1\/84 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 44*b**2 + 43430*b + 86862. Give p(-2).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 - (3 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 46*x + 13. Let o(k) be the second derivative of 5*k**3\/2 + 2*k**2 + 28*k + 10. Calculate 2*c(r) - 7*o(r).\nAnswer: -13*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -23\/23326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*(1 + 4). Suppose b = -3*b - 4. Is 14 + (k*1 - b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-30)\/(-9) + -4) - -6. Sort -2, 2, -5, f.\nAnswer: -5, -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 10) to base 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15*(-5)\/(-250)*-4848. Let a = 1455 + p. Determine l so that -24\/5 + 3*l**2 + a*l**3 + 6\/5*l = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/4 + v**4\/2 - v**2\/2 - v\/4.\nAnswer: v*(v - 1)*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 + 4*o - 5*o**3 - 5*o**3.\nAnswer: 5*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/3)\/(x\/(x\/((x*(x*x*x\/(x**(-9)*x)*x)\/x)\/x)))*(x\/(x\/(x*x\/(x\/x**(4\/7)*x))))\/(x\/(x**(-7)\/x*x)) assuming x is positive.\nAnswer: x**(-415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -26239134, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*u + 196, 4*z = u + 126 + 157. Suppose 5*h - 105 - 107 = -3*w, 2*h - z = 2*w. Calculate the greatest common divisor of 24 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)*(y*y**(2\/13)\/y)\/y*(y\/(y**(2\/7)\/y))**(1\/34))\/((y*y**5\/y)\/(((y\/(y**(-3\/5)\/y))\/y)\/y))**9 assuming y is positive.\nAnswer: y**(-945118\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**3\/8 - 627*r**2\/8 - 333*r\/4 + 945 = 0.\nAnswer: -4, 3, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 311520.\nAnswer: 311520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 + -86.72. Let q = d + 9.42. Let v = q - 10.526. Round v to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -874*h - 253466. Determine a(-290).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 - 3. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 + 7*t - 3. Let b(g) = 9*g**2 + g - 4. Let r be b(-2). Let f = -22 + r. Determine j(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26564860997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652901.\nAnswer: 3, 37, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.66 + 24.66. What is the third smallest value in l, 14, 0.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6*q = 0. Suppose q = -4*x - d - 10 + 70, 0 = -3*d. Suppose x*w - 64 = 13*w. Does 32 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 14 (c) 8\/7 (d) 6\/11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 2.98. Let s = u + -2. Let o = 13 + -15. Which is the closest to s? (a) 0.4 (b) o (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/5))**(-2\/11)*(i\/(i*i**(2\/3)))**(22\/9) assuming i is positive.\nAnswer: i**(-2636\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.59 + -48. Let z = 24.41 + c. Which is smaller: z or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (-1 - -20) - -36.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 + 418*t + 124. Let u be o(60). Solve u*v = -153 + 117 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3 + 7 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 60*u**2 - 281*u - 13. Is a(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2247*x**2 - 187*x + 2248*x**2 - 444*x to q + j*x**2 + k*x and give k.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/3 + 8*g**2\/3 + 19*g\/3 + 4 = 0. Calculate g.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -21212220230203?\nAnswer: -21212220230212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2650458643 and 0.04.\nAnswer: -0.2250458643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.05, -3, -2\/3, -4\/5, -4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 4. Let a = -3 + 10. Let b(y) = -9*y - 7. Let r(x) = a*j(x) + 4*b(x). Is r(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*(55\/(-15) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -420482191, -420482190, -420482189, -420482188, -420482187, -420482186?\n\"Answer: k - 420482192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*j = -52, -764*x = -767*x + 3*j - 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1295370 and -89\/647685.\nAnswer: 1295370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1146 and -77.\nAnswer: 88242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-132)*6*-1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**2 + g**2 - 5*g**2)*(-47 + 58 - 34)*(2*g - g + 4*g) in the form p*g**2 + o*g**3 + m*g + w and give o.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 155 + 143 + 149 - 2*s + s**3 - 453 + 0*s**3. What is c(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let w = 9.6 + -9.6. Which is the biggest value? (a) w (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/8 + 2\/((-72)\/(-171)). Let t(b) = b. Let i(u) = -2*u. Let d(o) = k*i(o) + 11*t(o). Let f(g) = 24*g**2. What is d(f(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 2*t**2 - t + 5. Let n(l) = 7*l**3 + 3*l**2 - 2*l + 11. Let a(o) = 5*b(o) - 3*n(o). Let v = -8 + 6. Let q = 2 + v. What is a(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153) + (2*sqrt(153))**2 + -5)*-5*-6.\nAnswer: 90*sqrt(17) + 18300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805550 to the power of 1\/2, to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5749091 + 3119*k**2 + 5749091 + (-4*k + 6*k - k)*(-2 - k + 2) to w*k + n*k**2 + m and give n.\nAnswer: 3118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p + 9*p + 9*p in the form j + c*p and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15026*b + 215095 - 1526978 = -2945*b for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-6)\/27)*-1. Let o be ((-9)\/(-8))\/((-42)\/(-28)). What is the third smallest value in -0.5, o, a, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/13))**(2\/95)*(l\/l**(-40))\/(l*l**11) assuming l is positive.\nAnswer: l**(7173\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + f**2 + 3. Let y(z) = -z**3 + z**2. Let i = 0 - -1. Let s(g) = i*h(g) - y(g). Differentiate s(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.480202t in milligrams?\nAnswer: 6480202000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 5\/2*f**2 + 1\/4*f**5 + 0*f**3 + 0 + 4*f + 0*f**4. What is the derivative of d(t) wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16*-2)\/(2121\/199374).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 - 50*q**2 - 37*q**2 + 77*q**2 - 3 wrt q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-8)\/(-212))*-2. Let k = 250 + q. Let m = 359 - k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568928847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 + 4*q - 2. Suppose -4*p - 6 - 10 = 0. What is the tens digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 - 2. Give p(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809.25 months in centuries?\nAnswer: 8.174375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -26*c**2 + 40506*c + 1832600 = 0.\nAnswer: -44, 20825\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20 = -7*j. Suppose -3*b + 28 = j*o, -14 - 22 = -o + 4*b. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*z + 24 = -0*z, -3*q + 5*z + 38 = 0. Let m = q - 11. Let g = -68\/3 + 23. Is g > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 44 = 5*d. Let s = -18 + d. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.279473 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o\/(o**(2\/11)*o))*o)\/o)**(-42)*(o\/(o*o*o\/(o*(o**4*o)\/o)*o)*o)\/(o\/(((o\/(o\/(o*o**(2\/17))))\/o)\/o)))**(2\/85) assuming o is positive.\nAnswer: o**(-18146\/15895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -1 - 24. Solve n + i = -2*f - 1, -5*f - 2 = -4*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18902635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 3. Let n(u) = -121*u - 15. Give n(g) + 6*y(g).\nAnswer: -85*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 4*n**2 - 2*n**2 - 3*n**2 + 0*n**2 + n**2 + (0*n - n**2 + 0*n)*(4 + 1 - 3) + 0*n**2 - 2*n**2 + 0*n**2)*(2*n - 5*n + 2*n)*(5 + 1 - 5).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208318086?\nAnswer: 2, 211, 2863313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -16475 and 0.107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 168*f - 3025. What is p(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dndjdqjiiniqjqiw. What is prob of sequence iwi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817019.8 decades to months.\nAnswer: 98042376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x, -5*i + x + 1627 = -369. Suppose f + f = -5*u + 654, -i = -3*u + f. Suppose -6*v = -2*v - u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-9)*1269\/(-282)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/l)\/((l*l\/(l*l**0*l))\/l)*(l**0\/l)**(-13) assuming l is positive.\nAnswer: l**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 242, 365, 490, 617, 746?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 136545?\nAnswer: 136545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53280 = 123*u - 135*u. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6688896 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-2)\/44*-2). Let s be 8\/44 - 524\/z. Suppose s = 3*l + 6. What is the smallest common multiple of 25 and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = b, 2*b - r + 0 - 3 = 0. Let x = -278 - -573. Let h = x + -297. Sort 5, h, b.\nAnswer: h, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 1, i: 3, r: 2, w: 4}. What is prob of picking 1 i, 1 l, and 2 r?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 11*x**2 - 9*x - 17. Determine o(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269.64 + -0.36. Let o = w - -273. What is the biggest value in o, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 1. What is the remainder when (13\/q)\/(1\/(-46)) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798613*u**4 + 7*u**2 - 2192201*u.\nAnswer: -19166712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2, 21.85, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/3 - 29*t**2\/2 - 35*t. Let w be g(20). Are w and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 25*c**2 - 9*c + 70. Let h be g(-13). Solve l = -5*r + 6 + 2, 4*r - 5*l = h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 9. Suppose s*h - 7*h + 791 = 0. Find the common denominator of (-4)\/(-6) - (h\/(-231) + -1) and 59\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/96*18\/(-945)*(-20)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*y + 23, 2*j + 3*y = j + 8. What is the smallest value in -5, j, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 721 and 706477?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h - 394. Calculate the least common multiple of x(-37) and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + g**3 + 4*g**3)*(-2*g + g + 0*g) + (g**4 - 5*g**4 + 5*g**4)*(3 + 5 - 1).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905080651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -968025 divided by 25\nAnswer: -38721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -13600233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 59 = -83. Let q(p) = -p**3 - 4*p**2 - 4*p - 1. Let y be q(-3). Let i be 4*(7\/y - 3). Solve -5*u = -f - 13, 3*f + b = -i*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, -39\/124, 1\/6, 1, -0.452?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 2)\/(777\/1554).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5440*k**2 + 2771*k**2 + 270*k**2.\nAnswer: 8481*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(63)\/(sqrt(18)\/sqrt(2))) + sqrt(833)*-5*-2)**2.\nAnswer: 85697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 7*r - 33 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661936 is divided by 460?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*z + 627776 - 627809, -13*h + 7*h + 51 = 11*h for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110000 (base 2) to base 13.\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)\/s*s**(-1\/20) assuming s is positive.\nAnswer: s**(-401\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*z - 16*z - 23*z)*(0 - 3 + 1 + (-1 + 3 - 1)*(1 - 2 - 1) + 3 - 3 - 1).\nAnswer: 105*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 7*j. Let p(k) = -1273*k + 2964. Let i(z) = 31*z - 72. Let q(l) = -247*i(l) - 6*p(l). What is q(t(d))?\nAnswer: 38*d**2 + 133*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*g - 51*g + 42*g - 53*g + 212 + 50 wrt g?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -23 + 48 + -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.194?\nAnswer: 3.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129915282, 129915281, 129915280, 129915279, 129915278?\n\"Answer: -o + 129915283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*y**3 + 565*y**3 - 1008*y**3.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 - -1*(5 - 4) a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(128\/(-60))*2\/(-5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 6299, 22, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g - 4 = 0. Suppose -5*q + z + 11 = 0, -g*z = 2*q - 2 - 0. Solve -h = -0 - q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/9*42\/(-4). Let b be -4 + (-7)\/(y\/(-4)). Which is greater: -8\/11 or b?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.38478 + 0.38478. Let i be (3\/(0 - 6))\/(-1). Put -3\/2, 5, i, v in increasing order.\nAnswer: v, -3\/2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 378 and 10.9?\nAnswer: 4120.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24665 (base 10) to base 15\nAnswer: -7495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -1\/5, -0.3, -2\/5, 15, -310?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -61, -54, -29, 20, 99, 214?\n\"Answer: g**3 - 12*g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 298180350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 641527 = 2*f + 4*z, -5*z + 20 = 0. Suppose -19*d = 20*d - f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (11 - -6) - -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 9*o.\nAnswer: o*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486 + -478. Solve -4*k + 4*r + y = 2*r, 0 = -6*k - 2*r - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 3\/5 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*v - 2*v = -11, -10 = -3*s + 4*v. Suppose -s*h = -6*h + 60. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3105256 (base 7) to base 5\nAnswer: 43342413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13240*g**2 - 337*g**3 + 13240*g**2 + (-g**2 + 0*g**2 + 3*g**2)*(g - 2 + 2) + 4*g**2 - 4*g**2 - 2*g**3.\nAnswer: -337*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/7 and -30\/12341.\nAnswer: 12341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, h: 2, n: 2}. What is prob of picking 1 p, 2 h, and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*z = 3*z - 8, 4 = -2*v + 2*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-1*3\/6). Suppose -4*b - 5*z + 0*z = y, -2*b - 6 = -z. Let v = 10 + b. Solve 0 = -q + v - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -424, -20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -200011303 (base 4) to base 5\nAnswer: -13201233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n - 30. Let r(d) = d - 1. Let u(v) = -30*r(v) + w(v). Let b(i) be the third derivative of -i**4\/12 + i**2. Give b(u(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 91. Let v be (0 + 1)\/c*(37 - 1). Suppose -130 = -l - v*l. Calculate the remainder when 19 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-51))\/((-5)\/(((-4050)\/36)\/(-15)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158453, 316908, 475349, 633770, 792165, 950528?\nAnswer: 1108853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -1.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzi when three letters picked without replacement from {v: 2, i: 1, a: 1, z: 1, t: 2, y: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*n = -10, 2*n = -2*f - 0 + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -48*g - 3. Let h(i) = -i**2. Give h(y(u)).\nAnswer: -2304*u**2 - 288*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24365413 (base 8) in base 10?\nAnswer: -5368587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13756*o + 13756*o + 4*o**2 + 2 as j*o**2 + k + z*o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.007. Let k = -36.007 + j. Let r = k - -35.9981. What is r rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3699, 7397, 11095, 14793, 18491?\nAnswer: 22189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10 - 4679*x + 2*x**2 + 4667*x + 0 + 6. Determine b(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -385 (b) -1 (c) -8 (d) -0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 8. Let q be s(4). Suppose 0 = -4*j - 0*j + q. Suppose 0 = 2*k - a + 3*a + j, 4*k - a = 12. Solve -k*d = r + 11, -3*r - d - 6 = -4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 108*m - 4201. What is p(41)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 5)*(1487*j**3 - 3038*j**3 + 946*j**3) + (-1 + j**2 + 1)*(-j + 2*j - 3*j) to h*j**2 + c + i*j**3 + u*j and give i.\nAnswer: -3027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -558239.129?\nAnswer: -558238.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (6 + -7)) + 2 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323\/1494 + 1\/166. Which is the third biggest value? (a) -0.6 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Let n be h(11). Let v = n + 10. Suppose 0 = 2*w + v - 8. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490674 is divided by 44605.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010692552 and 7288?\nAnswer: 7288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*n - 59*n + 7*n**2 in the form z*n + s*n**2 + v and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24347\/970)\/251*(0 + -90)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4802200?\nAnswer: 2, 5, 13, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -2) + 592 + -608 - 44?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 790981.7mm in nanometers?\nAnswer: 790981700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37796976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**4 - 5*k**3 - 44*k**2 - 5*k - 5. Let n(z) = -z**3 - z - 1. Let j(m) = -5*n(m) + p(m). What is the third derivative of j(q) wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 30 = 2*j. Let n be 21 + -2*(-3)\/j. Let k = 32408 - 32406. Calculate the greatest common divisor of n and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330510 and 690?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 2*f**6\/15 + 8*f**5\/5 + 8*f**4\/3 - 64*f**3\/3 - 96*f**2 + 849*f. Factor w(y).\nAnswer: 4*(y - 2)*(y + 2)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10182040 or -112002442\/11?\nAnswer: -112002442\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -372177804\nAnswer: -1\/124059268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*c = 3*c - 40, -4*w = -2*c - 56. Suppose -5*a = -5*s + 85, -3*s - 7*a + 45 = -8*a. Which is greater: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-three fifths of a second?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 3, w: 3, m: 6, f: 2}. Give prob of picking 1 w and 2 m.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 5 - (3 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 5*p + 2*p)*(0 - 3 + 2) + p + 0*p + 0*p + 4*p + 15*p - 2*p)*(1305 + 1461 + 420) as x*p + l and give x.\nAnswer: 63720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -339, -17 in decreasing order.\nAnswer: 5, -17, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*r + 14, 51*r + 3*h = 47*r + 17. Let l = 3.09 - 0.09. Sort r, -2\/5, l.\nAnswer: -2\/5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 75?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -2. What is the least common multiple of 1\/(-4 - -1 - (-134)\/44) and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 1. Let w(m) = -m**2 + m + 3. Let z(r) = 2*p(r) + w(r). Let g(l) = -6*l**2 + 3*l - 3. Determine -g(t) - 5*z(t).\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-4) + 6 - (-3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -5\/3, 54\/7, -30?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 368\/3*(-12)\/(-8). Let d be (-2)\/4 + z\/16. Let f = d + -10. Solve -f = -l, r - 4*r - 3*l = -18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*s*t - 318*s*u + 2*t*u**3 + 7*t - 2*u**3 wrt t.\nAnswer: 6*s + 2*u**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 27*j + 6 + 28*j. Let x(w) = 21*w - 21. What is -18*b(r) - 5*x(r)?\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((96\/56)\/((-72)\/756))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 3*o**2 + 6*o**2)*(-4 - 2 + 4)*(13 - 13 - 12*o) + o**3 + 3 - 3.\nAnswer: 25*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -2*r**5\/15 + r**3\/6 - 7*r**2. What is b(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 5687452.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 34*b + 158. Calculate q(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a. Let z(u) = -23*u + 1. Give 5*q(x) + 2*z(x).\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/840 and ((-2)\/(-5))\/(416\/2015).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16726559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917706 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c - 6. Let h = 31 - 20. Let q(l) = 5*l - 2. Let p(d) = d - 10. Let g be p(6). Calculate g*m(z) + h*q(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-36 + 68) + 13\/1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:57 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -4. Let x = s - -2.99. Let i = -0.19 + x. Put i, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -801 - -1204. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022413713124 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31, -47, -73, -109, -155, -211?\n\"Answer: -5*f**2 - f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 21*o. Let m be q(15). Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*((sqrt(209) - (sqrt(209) - (sqrt(209) + sqrt(209)*1 - sqrt(209))*4)) + sqrt(209)))\/(sqrt(44)\/sqrt(100) - sqrt(11)*2*6).\nAnswer: 400*sqrt(19)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-71*c + 784 - 784)*(-4 - 1 + 2).\nAnswer: 213*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -194*o. Let i(q) = 5*q - 8. Let l(s) = -s + 2. Let d(f) = i(f) + 4*l(f). Calculate d(v(m)).\nAnswer: -194*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngg when three letters picked without replacement from {n: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2 + (-1 - 5 + 5)*(-2 - 2 + 3) - 3 + 4 - 2)*(66*b + 124 - 124).\nAnswer: 198*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2, 12975345 in increasing order.\nAnswer: -2, 4\/5, 12975345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359552437?\nAnswer: 2017, 178261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47530 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 29*q**3 + 5224*q**2 + 721*q + 100. Calculate v(-180).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-12)*r)\/r*r\/(r\/r**(2\/11)))\/(((r**(-3\/2)*r)\/r)\/r)**(2\/45) assuming r is positive.\nAnswer: r**(-1060\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223275611 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 24.2 and 28.07 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72) + 4))**2.\nAnswer: 48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139366, -139365, -139364, -139363, -139362?\n\"Answer: u - 139367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12985644 to the power of 1\/2, to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37662314 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 51. Solve h - 5*h - 4 = m, -h = 3*p + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129936 divided by -6\nAnswer: 21656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*d + 2*f, 3*d - 2*f - 11 = 6. Solve d*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 8*j - 1. Let b be r(-8). Let f = 0 + b. Put 1, 4, f in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 4761d?\nAnswer: -4761e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186043*h**6 + 3*h**4*o + 14*h**2*o - 154*h*o - 2*h - 4*o + 2 wrt h?\nAnswer: -22325160*h**3 + 72*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:13 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 245 (b) 9743 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341049*a**2*i**2 + 4539*a*i**2 wrt a?\nAnswer: -682098*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10470 and -0.1.\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -1*sqrt(132)*-6) + sqrt(132))\/(6*sqrt(36)\/sqrt(3)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(77)\/sqrt(7) + sqrt(22)\/(sqrt(2) + sqrt(14)\/sqrt(7)))**2*2.\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - v - v**2)*((-45*v - 23 + 23)*(-4 + 7 - 2) + 5*v - 3*v + 0*v) as d*v**2 + c + b*v + p*v**3 and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((-1 + sqrt(288) + -1 - sqrt(288)) + 1 + sqrt(288) + -1 + 0)**2 + -2)*-3.\nAnswer: -874 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -403cc?\nAnswer: -40401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let a = -0.28 + -0.02. Let j = 9 + -4. What is the second biggest value in j, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1100276228, -1100276227, -1100276226, -1100276225?\n\"Answer: s - 1100276229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a - 8. Does 6 divide (a - -17) + 0 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 15, 39, 73, 117?\n\"Answer: 5*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110 (base 2) in base 12?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1623 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33559017 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4*k + 8*i**3*k - i**3 - 2*i**2 + 7*i*k - 2*i wrt i?\nAnswer: 48*i*k + 48*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11862 take away 16.611?\nAnswer: -11878.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 4.59794.\nAnswer: -50.57734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -27*g - 14. Let q(s) = 2*s + 32133. Give a(q(o)).\nAnswer: -54*o - 867605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 1.1. Let z = -0.6 - -1. Let u be -3 - 3*1\/(-3)*-1. What is the second biggest value in z, u, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380403952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -25*a + 20. Let t(x) = 108*x - 85. Let g(k) = -13*r(k) - 3*t(k). Suppose 3*c + 40 = -w - 4*w, 3*c + 7 = -2*w. Calculate g(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -620*i + 6. Let j be q(0). Solve 5*h + 7*z + 2 = 0, -5*h - j*z = -5*z - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275384 and 18154?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from kkbkkbkb?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = -0*k + 2*m, 4*m = -2*k - 28. Let i = -6 + k. What is the remainder when 18 is divided by 1\/(-4)*2*i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 77280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:17 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67825.\nAnswer: 5, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbsqsnbnqqece. Give prob of picking 1 q and 1 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 35*m**3 + 2*m**2 - 1. Let a be y(1). Let d be 34\/10 + a\/(-90). Suppose k - 4 = f, 2*k - d*f - 3 - 1 = 0. Solve h = 2*z + z + 2, -3*z + k = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0194 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-240)\/(-27))\/4 + 2\/(-9). Suppose -2*y = -3*i - 0*i - 84, -5*y = z*i - 229. Differentiate -r + y*r**3 - 18*r**3 + r - 37 with respect to r.\nAnswer: 81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -101\/5?\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, 0, 3, 1 in ascending order.\nAnswer: 0, 1, 3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369304 and 41808?\nAnswer: 2215824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 - 13*d**2 - 10*d**2 + 13*d**2 + 23*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 + 16a28?\nAnswer: 169e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693761.\nAnswer: 41, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -85*t**2 + t - 1. Let v be r(1). Let j be (1\/1)\/1*(-34)\/v. Which is smaller: -3\/2 or j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11417930 is divided by 1748.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/45 (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 7*f - 9*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let c be n(2). Let o = 72 + -71.6. Sort c, o, 1\/6 in descending order.\nAnswer: c, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32234 and 3632?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 92. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-51)*-457 - (-10)\/(-85). Suppose -4*n = 5*q - 335, 5*n - 5*q = -0*n + r. Calculate the remainder when n is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -0.36. Let x = -0.3 - g. Let o = 31 + -157\/5. What is the second biggest value in -5, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/55, 0.5, 2\/13, -2.2?\nAnswer: 13\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + p - 27 = 5*k, -k - 2*p = 0. Let z(f) = 2*f - 6. Calculate z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 2*r + 3*r. Let d(t) = -39*t**2 + 454*t - 20. Let z(n) = 40*n**2 - 363*n + 16. Let o(v) = 4*d(v) + 5*z(v). Calculate k(o(p)).\nAnswer: 88*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212 - -211)*29\/377?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 + 2231384*n**3\/3 - 553231002024*n**2 + 411492112837496800*n\/3 - 822977586920820368\/3 = 0.\nAnswer: 2, 743794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*r**3\/13 + 578*r**2\/13 - 64*r\/13 - 174\/13 = 0. What is r?\nAnswer: -29, -1\/2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i + 54*i - i - 6*i - 3*i + 5*i**2.\nAnswer: 5*i**2 + 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 21 = 2*j, 2*j - 6*j - 35 = 3*d. Let x = j + 8. Let n = 8\/63 - 292\/315. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -1 + (-313)\/(-9) + 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18.9. Let h = r - -1.1. Which is the nearest to 0? (a) -2 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r - 19*r + 204*r - 33624 = -209*r for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6618517 is divided by 3309208.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -1. Is 9\/2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84009 (base 10) to base 13\nAnswer: 2c313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.1, -193259 in decreasing order.\nAnswer: -0.1, -2\/3, -193259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*h = -365*h + 2840 + 2562 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1670, 3, -5 in ascending order.\nAnswer: -5, 3, 1670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 490, 722, 938, 1132, 1298, 1430?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961856.91ns to weeks.\nAnswer: 0.000000001590371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/24 + m**3 + 12*m**2. Let t be s(-10). Let a be 9 + t + 2 - 4. Solve 0 = -h - 3*i - i - 13, -a*h - 15 = 4*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:27 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.1, -3\/5, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4859 - 4004. What is the highest common divisor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -135 in decreasing order.\nAnswer: 5, -2, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(2\/(-2 + 4)). Let t be 9\/(-21) + (-26)\/o. What is v in 3\/2*v + 1 + t*v**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10223872 + 10223873.1000002. Let w = -12.1 + 11. Let q = t + w. Round q to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -109. Let b be 826\/295 + 1\/5. Put 4, b, r, 0 in decreasing order.\nAnswer: 4, b, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -5*f + 32 = -3*x, -a*x + 4 = -4*f - 7*x. Let p be 4\/((2\/2)\/f). Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6184 and -4.\nAnswer: 2.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 315?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34*(-389)\/4*(1 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2d75a3?\nAnswer: -2d75a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.9 - -20.7. Which is the closest to 1? (a) 0.13 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*d - 148676 = 2738*d for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -1290*(-44)\/(-1716).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5427 = 25*j - 14127. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(187)\/(sqrt(11)*-3))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20020 - -12122211?\nAnswer: 12220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**12*((i**(1\/3)*i)\/i)\/(i*i\/i**(-1\/4)))\/((i\/(i\/(i*i\/i**(2\/9))))**(-18)\/((i**(-4)*i)\/i**(3\/2))) assuming i is positive.\nAnswer: i**(2437\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17783343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 12*b - 52 - 44 + 4*b + b.\nAnswer: -4*b - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279 or 2\/3?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.1, 1\/182, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27605.1563 rounded to the nearest one hundred?\nAnswer: -27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5\/4 (b) 0.09 (c) 8\/53 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let n(h) = 53. Let k(s) = 4*f(s) - n(s). Let p be k(-17). Let j = 208 + p. What are the prime factors of j?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (565\/7910)\/(6\/924)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-1 + 2 + 1) + 0 + 0 - 3)*(2*z + 0*z - 4*z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 226*j**4 + 26636*j**3 - 3776*j**2.\nAnswer: 2*j**2*(j + 118)*(113*j - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0)\/(-5 + -7 + 11). Put 0, -4, 1, m in decreasing order.\nAnswer: m, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 17*h**2 - 43*h + 14. Let v(x) = -8*x - 74. Let m be v(-11). Let u be t(m). Solve -5*f + u*d - 12 = -3*d, -4*d + 16 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51506018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-8) + 1\/(-4). Let g(s) be the first derivative of s**3\/3 - s + 5. Let r(u) = -4*u**2 + 5. Let z be ((-3)\/2)\/(3\/(-2)). What is v*g(d) + z*r(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 b when three letters picked without replacement from dhuhxhhhuwhhuxbbhhwb?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -303367161 + 0.3\nAnswer: -303367160.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 7*s + 4. Suppose u - 4 = -0*u. Let l be r(u). Suppose 6*y = 4*y + l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003112289 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 23*p**2 + 69*p - 17. Let d(q) = -q**3 - 33*q**2 + 68*q - 49. Let g be d(-35). Let t be r(g). Calculate the highest common divisor of t and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 7. What is the remainder when 11 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/(-2)*(-7 + 5). Let n = 1 + m. Suppose h + n = 3*y - 2*h, 0 = -2*y + 3*h + 14. What is the greatest common factor of y and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*r + 2*b, -2*r + 8 = -0*b - 3*b. Suppose -r*n - 296 = -1087. Let w = -93 + n. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*z**3 + 25240691*m*z - 4*z**3 + 19317458 wrt m.\nAnswer: -z**3 + 25240691*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7323554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2 + 784\/(-280)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0679 take away 4?\nAnswer: -5.0679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 12*g**3 - 4*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 6042?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40383855?\nAnswer: 3, 5, 31, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 121*y + 14 = -125*y, 5*w - 3*y = -22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 30365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.916108 + -0.22.\nAnswer: -120.136108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -871 - -874. Suppose -3*g = -g + 3*o + 15, -2*g + 3*o = -15. Let n be 12\/l - (g - 0). Solve 3*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 63, -1\/5, 190, -106, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940830371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 10 = 75*p. Let t(o) be the second derivative of 0*o**2 - 1\/3*o**3 + 7*o + 1\/12*o**4 + 1\/10*o**5 + 0. Calculate t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.1 (b) -3\/5 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*l**5 + 0*l**5 - l**5).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -552 or -573?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2593\/147 + 64\/49. Find the common denominator of w and -8\/2499.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 - -67)) + (-10 - -22) + -2 + -9\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 16 = 6*w. Let u be ((-10)\/(-8))\/(w\/(-64)). Solve -t + u = t, 8 = -q + 2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**3 + 2184*t**2 + 120060*t + 1271592. Let p(y) = 3*y**3 + 548*y**2 + 30015*y + 317898. Let i(r) = 2*a(r) - 9*p(r). Factor i(n).\nAnswer: -3*(n + 14)*(n + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2199*f - 5143. Is s(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3017 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(3*x**2 + 0*x**2 - x**2) + 2*x**2 + 0 + 0 + x**2 + 0*x**2 + 10*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4066144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.6873ml in litres?\nAnswer: 0.4286873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2016144 and 1550880?\nAnswer: 20161440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26257 and 223828?\nAnswer: 534277436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 65, 124?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r - 62. What is n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3657 = 3*n + 3*b, -n - b = n - 2442. Let k = 2049 - n. List the prime factors of k.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 22*x + 530. Let t be z(-24). Sort -16, t, -4, 4, -5.\nAnswer: -16, -5, -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(3\/7)*h*h*h)\/h*h\/h**(-3\/7))\/(h*h*h**(-4)*h**(4\/7)*h*h*h)*(h**1)**28\/(h**(-6)*((h**(-5\/6)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(1685\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*i + 89, 4*i = r + 25 + 70. Let w = i + -91\/4. What is the closest to -1 in 0, w, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -90. Let h(y) = 34*y**3 - 4*y**2 - 25. Let x(c) = 33*c**3 - 3*c**2 - 26. Let i(g) = p*x(g) + 3*h(g). Differentiate i(j) with respect to j.\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227811 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3303?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 197 + 58 + 32)*(-161 + 161 - 4*h**2).\nAnswer: -896*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((160\/15)\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 35*m + 14328. Let y = m + 790. Sort 7, 2, y.\nAnswer: y, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117793114093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/9*(-61)\/(2013\/(-66))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263569 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i. Let r be j(4). Let w(x) be the second derivative of 1\/18*x**3 + 2*x + 1\/3*x**2 + 0 - 1\/36*x**r. Factor w(t).\nAnswer: -(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:18 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**2 + 5*a - 3. What is the remainder when j(2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272015*b + 543470*b - 271466*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*w + 2*w, -29 = -2*j + w. Calculate the remainder when 22 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293.12 + 293. What is the fourth smallest value in x, -3, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.5 and 4297959?\nAnswer: 4297956.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 3, a: 1}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128557763 = -70*r + 7191685 - 62103922. Round r to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - 1. Let u = -29 - q. Suppose -s - 3*b + 34 = -u*b, 0 = -s - 5*b + 30. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.1, -1\/5, -0.315, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*q - 5, o - 21 = -4*q + 8. Let p be 3*(4 - 14\/q). Let h(j) = 3 + 8 - j - 12 - p*j. Give h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 98 - 83 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 16*w + 35. Let k(z) = -z - 10. Give k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34245542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - 3*l**4\/4 + 5*l**2 - 2*l. Let r be h(9). Suppose -3*g - u + r = -5, -5 = -g + 5*u. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16638 - -18680. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24549 by 6.\nAnswer: 8183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 204, 330, 490, 696?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9637\/3 - 3208. Let i(q) be the first derivative of 5*q**2 + x*q**3 + 0*q - 18. What is the second derivative of i(j) wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4173, -5726, -8315, -11940, -16601, -22298, -29031?\nAnswer: -36800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(104)\/(sqrt(8)*5))**2.\nAnswer: -62\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5830 + 5827. Which is the nearest to -1? (a) -8 (b) 1\/3 (c) w (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:20 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 131.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/126*1\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4408738 is divided by 66799.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552268847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 76*x - w = -1, 17 = x - 4*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*k = 3 - 2, q + 1 = -3*k. Suppose 5*u + 4 = 3*u, -3*v + 4*u + 89 = 0. Suppose 0 = -21*x + v*x - 6. Sort x, -5, 5, q.\nAnswer: -5, q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oygxoggyggg. Give prob of picking 1 y and 1 g.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 - (-2 - (-11 + 12 + -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51640*f**3*q - 5*f**3 - 380*f**2 + 18 wrt q.\nAnswer: -51640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 4)*(u - 2*u - 4*u)*(-47 - 12 - 65) in the form q*u + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*d - 16 = 0, g + 125*d - 123*d = -13. What is the closest to 0.1 in 63, 4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 10:46 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 39*r + 25*r**3 - 8*r**2 - 8 - 24*r**3 + 30*r - 56*r. What is s(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 9*v + 16. Determine r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/4 - 57297*l**2\/4 - 68244060*l + 1439449200 = 0. What is l?\nAnswer: -9560, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16672)\/(-458480))\/(-6*3\/(-22)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + x = -2702, 8*u - 4*u = -x + 10798. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41661365295.6 and 0.07.\nAnswer: 41661365295.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18366*u - 13947?\nAnswer: -18366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9427 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*q + 12 = 0, g - 8 = -g + q. Suppose f + 28 = -2*c + 6*f, -20 = 3*c - g*f. What are the prime factors of (-95)\/c - 3\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i + 2. Let a be 7*6\/63*(-359 - 1). Let u = a - -243. Determine v(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -333*y - 2. Let c(m) = -55729*m. What is s(c(k))?\nAnswer: 18557757*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 + 572 = -6*j. Sort 0, j, -54 in decreasing order.\nAnswer: 0, j, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203797911 to the nearest integer?\nAnswer: 14276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 6. Suppose -3*n + 2 - 5 = 0. Let t be j(n). Is ((-1)\/(-1))\/(t\/(-1675)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5112450137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -5 + -10 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.8466 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -52. What is the highest common divisor of f and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57048*v = 52534*v - 54168 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877622 plus -8?\nAnswer: 2877614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4736358294 - -0.06.\nAnswer: 4736358294.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 32550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*z + 30*d**3 + 14*d**2*z - 6*d**2 wrt d.\nAnswer: -12*z + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -5*p**4\/4 - 2*p**3\/3 - p**2 - 23*p. Let a be u(5). Is -3*(2 + a\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499 - -498.6. Let f(p) = 2*p + 1. Let l be f(1). What is the third smallest value in 0.03, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 37*t - 112. Let p be s(4). Let m be -3 + 7\/(28\/16) - p. Which is bigger: -38 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/29650 and -149\/1200?\nAnswer: 711600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 5*a**4\/24 + a**3\/3 - 2*a**2. Let i(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let j be i(-2). Suppose -12 = 4*q - j. Determine h(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i = -594 + 94. Suppose 0 = i*s - 6*s. Solve s = 13*o - 18*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5340, -5694, -6056, -6426?\n\"Answer: -4*b**2 - 342*b - 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 583 + -1012. Let i = -1258 - -996. Let s = i - q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 495, 1120, 1995, 3120, 4495, 6120?\n\"Answer: 125*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/252 - r**4\/8 - r**3\/2 - 43*r**2. Let g(b) be the second derivative of k(b). Let q(u) = 8*u**2. Give g(q(t)).\nAnswer: -640*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54527 = -2*b - 3*l, -71*b + 73*b = 3*l + 54533. What is the highest common factor of b and 410?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 - r - 10. Let s be f(5). Let t(h) = -h**3 - 12*h**2 - 13*h + 11. Let g be t(s). Suppose -g = -d + 320. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 236, 401, 644, 971?\n\"Answer: z**3 + 30*z**2 - 4*z + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00184511 rounded to five decimal places?\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 5*q + 8. Let y = 3088 - 3092. Give a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-408)\/16*(-5 - -1). Find the third derivative of 248*r**5 + 26*r**3 - 2*r + 2*r**6 - 248*r**5 + x*r**2 wrt r.\nAnswer: 240*r**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = q + 8, -c = -4*q - 6*c - 15. What is the remainder when ((-22)\/q)\/((-10)\/(-25)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 1050 = 16*c - 4*u, -c = -4*u - 517. What are the prime factors of c?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 12667003.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43064 divided by 6152\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 564*f**4 + 16*f**3 - 6768*f**2 + 8832*f + 256 = 0.\nAnswer: -4, -4\/141, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 6311792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 58. Give x(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 5258539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 700814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665439809?\nAnswer: 17, 9277, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:09 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-2\/31)*w*w*w))*w*w**(-18\/11))\/(w**(4\/5))**(-2\/49) assuming w is positive.\nAnswer: w**(278353\/83545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-10))\/(2\/12). Suppose -w*y - 20 = -8*y. Calculate the smallest common multiple of 14 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112.82 + 111.82. Is c at most -2296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 37*r**2 - 19*r + 49. Let o be n(2). Solve -5*j + 139 = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 196*h**2 + 287*h**2 + 200*h**2 + 204*h**2 - 5*h**2 + 2*h**3 as c*h + x*h**3 + u*h**4 + m*h**2 + a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/36)\/(3\/(-27)*3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-26)*(560\/(-3626))\/(-10)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6880 less than or equal to -6636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -1\/7*d**7 + 0*d**4 + 0*d**6 + 0*d + 4\/3*d**3 + 2*d**2 - 74 + 0*d**5. What is the third derivative of k(s) wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28553\/8 + -3578. Let t = 1238 - 5027\/4. What is the common denominator of v and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/10 in 0.4, -0.2, 4\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1422.5 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 2718*h**2 - 2718*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7150 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 4*s + 6*s)*(-2*s**2 + 2*s**2 + s**2) + 17*s**3 + 13*s**3 - 8*s**3 to the form j*s + r*s**3 + m*s**2 + f and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1001\/246?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f + 4. Let g be n(0). Let z = 9 - g. Suppose v = z*v. What is the second biggest value in 3\/2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:22 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 2.\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 2464 = -10274. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 415086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 9. Let p be 46\/8 - k\/(-60)*5. Solve 0*c - p*c - 3*v - 3 = 0, -2 = c + 2*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a. Let j(q) be the first derivative of -3*q**2\/2 - 19. Give g(j(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -24, -6, 12, 30, 48?\n\"Answer: 18*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -46. Let u(x) = -2*x**2 - 39*x + 9. Let d be u(k). Suppose d = -z + 2*z. Calculate the greatest common factor of 42 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 844236.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/2*j**5 - 2*j**2 + 2*j**4 - 3\/2*j**3 + 2*j = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 984*u**3 + 43*u**2 - 6*u + 6950. Let j(q) = -328*q**3 - 13*q**2 + q - 2317. Let w(p) = 3*f(p) + 10*j(p). Differentiate w(c) wrt c.\nAnswer: -984*c**2 - 2*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 + o. Let h(f) = 34*f**3 - 2*f + 2. Let n be h(1). Let r(i) = -23*i - 19*i - 18*i + n*i. What is d(r(t))?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 679497933 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (103 - 100 - (1 + -1 + 2)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-18)*1)\/((-100)\/120).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-30 + -3 + 11 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-24))\/((-20)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10511.3 + 11387. What is v rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, 3, 4, 0.75, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noo when three letters picked without replacement from {c: 1, n: 2, k: 6, l: 1, f: 2, o: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190698)\/(-5291) + -36)*26?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 3. Let a(x) = 3. Let u(n) = -7. Let d(f) = 5*a(f) + 2*u(f). Give -6*d(t) + 2*i(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -3*b + 0*b**3 + 0*b**4 - 21\/20*b**5 - 7\/2*b**2 + 0. Find the first derivative of d(r) wrt r.\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*u, 2*v = u + 4*u. Suppose 4*f - 1 + 9 = v, 3*o - 3*f - 411 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1258 + 2605. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 y when three letters picked without replacement from {l: 1, j: 5, y: 3, n: 2, u: 7, z: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(sqrt(17) + (sqrt(17) - sqrt(17)*-3))**2.\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 - 9*a. Let k(c) = -44*c**2 - 80*c. Let x(u) = -6*k(u) + 52*z(u). Solve x(m) = 0 for m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 14980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.9356 + 0.0156. Let h = -31 - q. Which is the biggest value? (a) -0.3 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -835018803.16126.\nAnswer: 835018818.16126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1056 - -2663. What are the prime factors of x?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/3 + 16945*z + 101730.\nAnswer: -5*(z - 10173)*(z + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from {w: 9, q: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*o**6 - 3*o**5 - 2194*o**3 - 45776*o**2 - 2*o - 14 wrt o?\nAnswer: -3240*o**3 - 180*o**2 - 13164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - 10 - 2*35\/10. Suppose -2*t + 0*t = 4*w - 10, t + 20 = 3*w. Let q be t\/(-2) - 2\/(-4). Solve -3 = -a*y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/50 - 88\/(-150))*108 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 45. Let p = f - 21. Suppose -4*g + 2*i + 38754611 - 15554603 = p, 2*i + 8 = 0. What is g rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-2 + -2 - (sqrt(700) + -3*(sqrt(700) - (sqrt(700) - -2*sqrt(700)))))**2.\nAnswer: 360*sqrt(7) + 56704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**3 - 2*t**2. Let g be v(2). Let o = 239\/5 - g. Let r = -12.5 - -12. Sort r, o, -5.\nAnswer: -5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483 + 483 + 1792*g**2 + 9*g - 20*g + 11*g.\nAnswer: 1792*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(275) - sqrt(11)*1*1) + ((sqrt(1100) - (sqrt(1100) + -1*sqrt(1100) - sqrt(1100))) + sqrt(44))\/sqrt(4))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-225))\/(-7)*5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 1221?\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57 + 0.13?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51469 is divided by 337?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3557, 3099, 3013, 3485, 4701, 6847, 10109?\n\"Answer: 31*i**3 - 675*i + 4201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(9\/18). Factor -14\/11*q**u + 0 - 18\/11*q - 2\/11*q**4 - 30\/11*q**2.\nAnswer: -2*q*(q + 1)*(q + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6252*j**3 - 12497*j**3 + 6275*j**3.\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 14. Let b(q) = 2*q - 3. Give k(b(d)).\nAnswer: -14*d + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*3\/(-15) + 1 + 1 + -1. Let j = 7 - 9. Put 134, -1, m, j in increasing order.\nAnswer: j, -1, m, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maa when three letters picked without replacement from {a: 7, m: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1998, 1999, 2000?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**2 - 3*j**2 + 0*j**2 - 3*j + j**2 wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddgdddddgdgdddd. Give prob of sequence gdgg.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g**3)**(-10\/3)\/(g*g*g**(1\/8)*g**6*(g*g**(-7)*g)\/g*g\/g**(1\/3)) assuming g is positive.\nAnswer: g**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {o: 1, y: 4, n: 5, f: 5}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(77)\/(2*sqrt(44)))*1*3.\nAnswer: 3*sqrt(7)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -1, 1.57.\nAnswer: -2, -1, 1.57, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8450? (a) 2\/11 (b) -4 (c) 3\/5 (d) -2 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 272 = -1312. What is the highest common factor of 616 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 41. Suppose -4*c - j*w = -2099 - 729, 1414 = 2*c - 3*w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. What is the smallest common multiple of 73 and v?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(88)\/sqrt(8) - sqrt(11))**2 + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 3 + sqrt(1100)))) + 1.\nAnswer: 13 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 + 0)*(7 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1217 + -920. Calculate the greatest common factor of o and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -1, 0.35, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491780 is divided by 611.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105239103 and 3569?\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (484 - 472) + (3 - 14 - 2) + 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 (base 8) in base 9?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let k(c) = 2*c - 1. Let v be k(2). Let l be p(v). Let t(b) = -b**3 - 4*b**2 - 3*b - 6. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 18?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36109585949*b - 36109585949*b - 345*b**2.\nAnswer: -345*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 21607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353536 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 4*i - 131. Calculate u(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 + 0 - -4. Let m(k) = -k**3 + 15*k**2 - 2*k + 1. Let b(v) = -2*v**2 - v + 1. Let n(s) = -5*b(s) - m(s). Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 19*b**5\/60 + 4*b**3\/3 + 5*b**2 - 1. Let i(c) be the second derivative of g(c). Find the first derivative of i(s) wrt s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0*j - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0 - (4 + 1)). Suppose -k - p = -6. Let x be (3 + 8\/(-2))\/k. Is x >= -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.6, -57, -4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.52 and 195089102016.\nAnswer: 195089102017.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-16)*4*(-1)\/50.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3561 (base 16) to base 5.\nAnswer: 414130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.39 - 0.91. Let k = f - -9. Let t be ((-8)\/10)\/(-1) + 0. Which is the closest to -2\/5? (a) -5 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 19. Suppose 4*f - 3*f - 9 = 0. Let t be y(f). Solve -7 = 2*i + t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(4 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2107632518 - -0.05168.\nAnswer: -2107632517.94832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 6*o - 2*o)*(-453 - 801 + 3*o + 166 - o).\nAnswer: 6*o**2 - 3264*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 26*s + 395. Suppose s*v - 238 = 72*v. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, i: 6}. Give prob of picking 3 l and 1 i.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.323 kilograms to tonnes.\nAnswer: 0.100323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 272506?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let t(j) = -15*j + 10. Let d(g) = 2*g + 11. Let u be d(-5). Let l(q) = u*t(q) + 10*a(q). Let f(r) = 3*r. Give f(l(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 343.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 3}. What is prob of picking 1 v and 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29962, -2\/41, 1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.00791 (b) -162\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 4, k: 6, m: 2, l: 3}. What is prob of picking 1 n and 1 k?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 0 - 4*p**2 - 74*p**3 + 2*p**4 + 13 + 74*p**3 to the form o + g*p**4 + u*p**3 + b*p + z*p**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 + 4*q - 7 - q**2 + 0. Let r be 450 - (-5 - (-5 + -1)). Let i = -445 + r. Calculate l(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*-1)\/(4\/(-64)). Suppose -d = -5*l - 7. Let y = l - -2. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3648 = 2*h - 30743, 4*h + 20 = 0. What are the prime factors of c?\nAnswer: 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/8*8\/2. Let f be -13*5\/(-10)*-2. Let k = f + z. Are k and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129874.\nAnswer: 2, 64937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8 and 70.2764911.\nAnswer: 68.4764911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + f**3 + 1 + (-f**2 + 3 - 3)*(2 + 2*f - 2) + 18*f**3 - 13*f**3 + 4*f**3 + (-f**2 - 2*f**2 + 2*f**2)*(3*f - 6*f + 0*f).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m - 2632 + 409. Let u = 119 + m. Solve -5*t + 0*g + 3*g - 11 = 0, u*g - 3 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 1. Let n(b) = -6*b**3 - b**2 + b - 5. Let u(j) = n(j) + 5*z(j). Suppose 0*l = -5*l - 75. Let f be (-5)\/l - (-4)\/6. Determine u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/4 - -2)\/(88\/2816). Let q = 20 + -20. Solve 3*n = -z - m, -n - z = -q*z + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1680\/2385 + (-36)\/54\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -82, -67, -58, -61?\n\"Answer: -z**3 + 6*z**2 + 4*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 141.99?\nAnswer: 122.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80*i**2 - 434*i**2 - 99 + 97)*(i**2 - 2*i**2 - 2*i**2) in the form d*i + c*i**4 + h*i**2 + w + q*i**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -20*o + 121. Let p be q(6). Suppose 2 - p = -u. Let w be (1 - (-4)\/(-10))*-1. Do u and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 21*s - 2*b - 17, 4*s + 4*b = -20 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 - 1.15. What is the nearest to -1\/4 in n, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84840 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131550?\nAnswer: 2, 3, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/(57\/(-16836)) + 8 + -4 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17053 is divided by 2793?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13868 = 3*o - 193871. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 330 = 258 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, 0, -2 in increasing order.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5269*a**2*o + 2*a**2*p**2 + 61*a**2*p + 141*a*o*p**2 + 2*p**2 + p - 3262 wrt o?\nAnswer: -5269*a**2 + 141*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1048 + 18887\/18. Let i = 2\/9 + g. Is 3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 49*b. Let x(i) = -4612*i**2. Calculate x(c(s)).\nAnswer: -11073412*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*x - 207*x = -4*j + 4, -4*j - 12*x + 4 + 0 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:16 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179.146 + -179. Let i = g + -0.066. Put i, 0.5, -0.2, 0.1 in increasing order.\nAnswer: -0.2, i, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = 5*n, -n = -3*m - 4 + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795381 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (4 + sqrt(153) + 1) - 5*(4 + -4*sqrt(17)))*-2.\nAnswer: -40*sqrt(17) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4329 and 107263.\nAnswer: 965367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = 2*j, -3*j + 4*k + 7 = 3. Suppose 5 = -2*d - t, -j*t - 17 + 0 = 5*d. Is 2\/45 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09641773 and -259554.\nAnswer: -259554.09641773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.05, 28, 1\/2, 0.1, -12\/89 in descending order.\nAnswer: 28, 3, 1\/2, 0.1, 0.05, -12\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let w(l) be the first derivative of l**2\/2 + 7. Give h(w(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270031, -270092, -270181, -270298?\nAnswer: -270443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y*y)**(-19)\/(y**6\/y**8))\/(y**(-3\/2)\/(y*y**(-3\/7)*y*y)*y\/(y\/(y*y**(-3\/5))*y)*y**3*y) assuming y is positive.\nAnswer: y**(-4281\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.51 - -78.64. Let s = -2.85 - n. Let k = 129.9999886 + s. Round k to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*y = 15948, 4*y + 3038 - 3054 = 0. What is the greatest common divisor of o and 630?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54434661899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -269 - -266.38. Let w = 136.62 + l. Let f = -147.8 + w. Round f to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 13446 - 4109. Let i = g - -1672. Let z = i - -3532. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (1 - (3 + -2))) + (239 + -165 - 85).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10851862 to the power of 1\/2, to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 13.2. Let m = g - 8.8. Let s = 5 + m. Which is bigger: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - f**4 + f**3 + (0*f**3 + 0*f**3 + 2*f**3)*(0*f + f - 2*f) + 2*f**4 + f**4 - 95*f**4 in the form n*f**3 + r*f + z + b*f**4 + o*f**2 and give b.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1468432542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320) + -4 + 2*sqrt(320) + 2)*-5)**2.\nAnswer: -3600*sqrt(5) + 72225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.29 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18145\/2 - -27434\/3. Let w = 72 - u. What is the fourth biggest value in -3, w, -0.3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13.04 (b) -1.8 (c) -4 (d) -1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001662964 to 6 decimal places.\nAnswer: 0.001663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89224007 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5299 * 37\nAnswer: 19.6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14107 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*o**3 + 227*o**2 + 146*o + 70122069.\nAnswer: 108*o**2 + 454*o + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 0*r**2 - 2*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) -0.3 (c) 5 (d) 1 (e) -564\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.3712 and 90.88?\nAnswer: 98.2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -266, 0.02, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.95145l in millilitres?\nAnswer: 70951.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/27592 and 45\/16?\nAnswer: 55184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let m(b) = l - 3 - 3*b + 2. Let q(o) = -o**2 + o - 1. Let s(y) = -6*y**2 + 7*y - 7. Let t(v) = -28*q(v) + 4*s(v). Determine t(m(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i, 3*u + 2*u - 10 = -5*i. Let w(b) = -8*b**3 + b**2. Determine w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1420 and 994.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-20) + (-3)\/(-12). Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -44. Is 2\/11 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 2, -9, 0, 15, -5 in increasing order.\nAnswer: -139, -9, -5, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387265184.\nAnswer: 2, 1453, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5154 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 23. Suppose l - 18 = -g + 6*l, 0 = -5*g + l + 18. Let o(i) = 2*i + 23. Let x(j) = g*o(j) - 2*b(j). What is the derivative of x(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9571042?\nAnswer: 2, 13, 368117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 110. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24*z + 1. Suppose 4*q + 4*y - 4 = -0*y, 5*q = 5*y - 25. Let r be 3\/2*-2 - q. Does 17 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*l - 315*c**2 + 47*c*l - 8*c + 3449*l + 408 wrt c?\nAnswer: 2*c*l - 630*c + 47*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 60. Let v = 12 + c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1000?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 12}. What is prob of sequence xxxq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -110\/18317, 5?\nAnswer: -110\/18317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5531, 4944, 4355, 3764, 3171, 2576?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.008 - -0.008. Let g = -27.9 - q. Let l = 0.1 + g. What is the second smallest value in -0.5, 2\/15, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006551532602 rounded to six dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/21*(94 + 2). Let a = r - 355. Solve 0 = 34*g - a*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270773120 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 22. Let x be h(0). Suppose 2*u = -3*n, -4*n - n + x = -4*u. Factor -o**n - 8*o - 3*o**2 - 2 + 2.\nAnswer: -4*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470300.64 rounded to the nearest 1000?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*t = 124*t + 162. What is the greatest common factor of t and 6975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1998)\/(-42) - (-7777)\/4949.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 153, 152, 151, 150, 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (-8 + (21 - 7)). Let v(d) = d**3 + 2*d**2 - 1. Let x be v(1). Solve -r - x = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 58*g**3 - g**2 + 2*g - 1. Suppose -4*t + 3*c = -0*c + 2, -5*t = 5*c - 15. List the prime factors of i(t).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.101195 + 2.1. What is x rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 6:57 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from lzeglgsf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260103, 6520197, 9780291, 13040385?\nAnswer: 16300479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)\/(z*z*(z*z**3)\/z*z*z))**(-46)\/(z**(-1)*z\/z**(-5)*(z**8\/z)\/z*z**0*z) assuming z is positive.\nAnswer: z**724","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h = -4*u + 44, 0 = 3*u - 4*h - 34. Find the third derivative of 8*q**3 - u*q**3 + q**2 - 3*q**2 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1153*w + 35876. Give q(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -12467377062?\nAnswer: 12467377066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozddloxxxxnllld. Give prob of picking 1 z and 2 d.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w - 49. What is the remainder when t(-13) is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*r**2*u*y + 2*r**2*u - 416*r**2 + 2*r*u*y + 10*r*y + 18*u*y - 2*y wrt r?\nAnswer: 88*u*y + 4*u - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9745\/2 - 4873. Is -43 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h + 3*q - 45 = 0, 2*h - q - 15 = 0. Let z = h + -10. Put 6, -5, z in decreasing order.\nAnswer: 6, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142689383.\nAnswer: 211, 676253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.06 - -1.24. Let m = -1 + -5. Let z = t + m. Which is greater: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 - 5*k + 3. Let r(g) = g**2 - g. Let v(w) = -7*w + 7. Let t be v(-7). Let b = t - 36. Let f = b + -21. Determine f*u(s) + 5*r(s).\nAnswer: -s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 20 = 2*i, 0 = -2368*i + 2363*i - 55*l + 210 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*24*(-45)\/(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47178554?\nAnswer: 2, 3613, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**3 + 10*y**2 - 5*y + 18. Let p(j) = 17*j**3 + 14*j**2 - 7*j + 27. What is 5*p(v) - 7*q(v)?\nAnswer: 8*v**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 12. Let y be -33*6\/r*1. Suppose 4*m - y = -4*o + 30, 0 = -5*m + o + 53. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1865 and 335.\nAnswer: 124955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 16) to base 11.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:23 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*f - 4794 = -120*f + 2152. Do f and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -482 or 23.42?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21418\/19 + -1127. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63ef (base 16) in base 10?\nAnswer: 25583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.434485 milligrams?\nAnswer: 0.000007434485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -105*v**3 - 2195*v**2 - 3780*v + 380 = 0.\nAnswer: -19, -2, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29532772127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 9. Let o(b) be the first derivative of -2*b + 2. Let x = 6 - 4. Let u = 5 - -4. Calculate u*o(h) + x*g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 350282*w**2 - 2*w - 1. Suppose 4*o + 40 = 24. Let l be t(o). Let z = -1654519 + l. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 110. Suppose 0 = 2*c + y - 677, -a*y = 2*c - 0*y - 689. List the prime factors of c.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29531*t + 11049?\nAnswer: -29531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13058 + -7238. Is 86 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*l - 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:56 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-170) + (-833)\/(-4624)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325968.\nAnswer: 2, 3, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*c + 831, 0 = 202*q - 201*q + 2. List the prime factors of c.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r. Let a(v) = -5*v**3 + 2*v. Let d(o) = a(o) - 6*j(o). What is the second derivative of d(g) wrt g?\nAnswer: -66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5 = -3*j + 5*d, 2*d = -j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2329*a**2 - 2507 wrt a?\nAnswer: -4658*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3270, 3504, 3736, 3966, 4194, 4420?\nAnswer: 4644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.8 - -31. Let h be (-1)\/4 - (-78)\/24. Which is the closest to q? (a) -0.1 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.6292t in nanograms?\nAnswer: 620629200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose -j - 7 = -6*c. Solve 30 = -5*m - 5*w, -3*m + c*m + w - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 353, -2.5, 5, 3, -0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 13 - 41*c + 566*c**2 + 4*c**4 - 564*c**2 in the form s*c + i*c**4 + o + v*c**3 + r*c**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 10*w**2 + 9*w - 12. List the prime factors of h(6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877819 = -211*y + 164*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144610232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -8, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 720199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3 + 3)*(792*v - 302*v - 388*v - 2).\nAnswer: -204*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7658*k = 7619*k + 1677 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -820815.\nAnswer: -28\/273605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 1076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4943 = 5*s, -4*i + 77*s = 79*s - 6582. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1552.698 and 104?\nAnswer: 161480.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587875072?\nAnswer: 2, 31, 74077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnyenvvypppnnp. Give prob of picking 2 y, 1 p, and 1 n.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.2 (c) 2 (d) 2\/16347 (e) 1\/46 (f) 0.5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-154)*(14\/(-36) + 0)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + (-43 - ((-73 - 30) + 49))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p + 12. Solve 0 = -5*d + d + z + 20, 0 = 4*d + 5*z + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/2713 - -10846\/8139. Let c(x) be the first derivative of 13 + 0*x**2 + 0*x**4 + 0*x + 18\/5*x**5 - n*x**3. What is the third derivative of c(r) wrt r?\nAnswer: 432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161 + 166. What is the highest common factor of a and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-62 - (53 - 88))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2117*n + 20152 = -26422 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17687 + 16980?\nAnswer: 34667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -855 bigger than -841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2. Let q(p) = -12*p**2 + 7*p. Determine q(a(o)).\nAnswer: -192*o**4 - 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12231*h**2 - 9981*h**2 + 7340*h**2.\nAnswer: -14872*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 + 24888*p + 74682 = 0.\nAnswer: -3, 12447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 31633260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35724 is divided by 1483?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2465289 (base 11) in base 13?\nAnswer: -b6c135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 7, -37, -4 in increasing order.\nAnswer: -37, -5, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.448628 rounded to three decimal places?\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 4*x, -4*v + 9*v = -4*x + 5. Suppose -4*t = x*w - 2*t - 220, -3*w + 136 = 2*t. Is 42 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((4 - (8 - -2)) + 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 253 = -2*w, 0 = -145*w + 150*w - 3*l - 619. Calculate the greatest common divisor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 10. Let v(m) = -5*m - 11. Suppose 4*i - 8 = -2*j, -3*i + 7 = 2*j - 1. Let k(p) = j*w(p) + 3*v(p). Differentiate k(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -800, -1180, -1712, -2396, -3232?\nAnswer: -4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -30, -31, 2, 87, 242, 485?\n\"Answer: 3*j**3 - 10*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 85762*l + 2561. Is b(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:36 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*m - 320015, -5*b - 2*m - 3*m = 1600015. What is b rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4209746 times 8.1?\nAnswer: -34098942.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75263 is divided by 392?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -13*i + 114. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-3*j - 3*j**3 + 3*j)*(4*j - 4 + 4).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.012 - -0.0149. What is t rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661860 is divided by 332307?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:44 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -44 - o + 9 + 16 + 11 + 9. Let d(i) = i**2 - 9*i + 8. What is 18*b(v) - 2*d(v)?\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 496, -54, -604?\n\"Answer: -550*d + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -5.8. Which is the closest to -4? (a) -3 (b) i (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 6, -3*m - 4*u = -5*m + 26 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 10 = 3*u + 2*l, 3*u + l + 13 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*c + 1 + 15, -5*c - 43 = -4*g. Let m(i) = -i - 3. Let v(r) = -4*r - 9. Determine c*m(s) + 2*v(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*b + 24, 10*q - 5*b = 267048 - 267123 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30*(6482\/462 + -14)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-11.6.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from flfffflslslgs.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -560 - -560. Suppose 25*y - 611 - 289 = v. Solve -5*c - 12 = 2*n, 0 = 2*c - 4*n + y - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 + 19721239156?\nAnswer: 19721239155.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 916*b - 112. Does 10 divide w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 1, x: 2, j: 3, g: 2, u: 4}. Give prob of picking 2 x and 1 j.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) -4 (c) 3\/7 (d) -10349 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/((-2)\/18). Let o(d) = 12*d + 2. Let l be o(4). Suppose s*i = -2*i + l. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6264 and 2160.\nAnswer: 62640","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the biggest value in 34\/7, 0.1, 0.026, -3, 1\/2, -0.6?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70993183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10747 (base 11) to base 10\nAnswer: 15539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k*k**(-10))\/(k*k*(k\/((k\/(k\/(k*k*k**6*k)*k))\/k))\/k*k*k)**(4\/27) assuming k is positive.\nAnswer: k**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*r = -1534783 + 1531989. Suppose 4*l - 935 - 33 = -2*n, -5*n = -l - 2398. What is the remainder when n is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27459 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -80 - (-1993 + 2089)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 5*r - 4. Let m be c(5). Let b(a) = -2*a + 2. Let o be b(m). Suppose -10 = 5*w, 5*z = 3*w + 51 - o. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639262909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0, 5\/7, 1\/2, -47235, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 - 33 - 5*h**2 - h**2 + 0*h**2 + 9 as p + r*h + a*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -837645*p - 635. Let m be j(-3). Round m to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344169, 344170, 344163, 344142, 344101, 344034, 343935?\nAnswer: 343798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908635 less than -6143?\nAnswer: -8914778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/(p**(-2\/11)\/p)*(p**(2\/3))**(2\/11) assuming p is positive.\nAnswer: p**(-122\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y. Suppose r - 2 - 27 = y. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*h**2 - 285*h + 128*h**2 + 2 - 4 - 112*h**2 + 151*h**2 wrt h.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 1235\/(-133). Suppose -4*r - 18 = 18. Does r = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7525 = -26*m + 1029. Calculate the greatest common factor of 188 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -274750, -549486, -824222, -1098958?\n\"Answer: -274736*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -6 (c) -693 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2496696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 413024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 5. Let w = l + -3. Suppose w*b - 11 = 5. Calculate the highest common divisor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 16*o**2 - 3*o. Let g(j) = -703*j**2 + 133*j. Give 266*b(n) + 6*g(n).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 15*h**2 - 37*h + 52. Let l be a(-12). Which is greater: 456\/7 or l?\nAnswer: 456\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*p - 12, 0 = -4*p - f - 1 - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039680778 - -227?\nAnswer: 226.960319222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 50 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*o + 17, 4*o = -3*d + 4*d - 1. Suppose -3*a + 4*c + 16 = 0, 2*a + 3*c = d*c + 14. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.212?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + t - 5, -3*t + 15 = -v + 6*v. Let u be (5 + v)\/((-2)\/(-2)). Suppose 2 = -4*n - w + 5, u*w - 15 = -2*n. Which is greater: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -11. Let m(r) = r + 1. Let s(t) = t**3 + 3*t**2 - 7*t - 2. Let l(j) = z*m(j) - s(j). What is the units digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -263 (b) 3 (c) -1 (d) 1.6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2233 (base 5) to base 15.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 98. Let u(h) = -3*h - 23. Let i be u(z). Let v(x) = 2*x**3 - 6*x**2 + 4*x + 10. Let b be v(5). Calculate the greatest common divisor of i and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y + 855 - 685 = -3141 - 2614 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-8) + 4\/(-16). Let g(k) = -k**2 - k + 2. Let t(m) = m**3 - 4*m**2 - 3*m + 7. What is d*t(o) - 7*g(o)?\nAnswer: 2*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 119, 268, 467, 710, 991, 1304?\n\"Answer: -j**3 + 34*j**2 - 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2*n. Let z(f) be the third derivative of f**7\/840 - f**5\/30 + 3*f**2. Let p(r) be the third derivative of z(r). Give p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -110137?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 - -398.00000338. Round n to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*w = 8, -5*m + 0*w + 29 = w. Let b(o) = 146*o + 11710. Calculate the smallest common multiple of m and b(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 - (-1 - 63\/(-45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115688 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1155 + -1139. Solve 0 = 24*x - h*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1578)\/(-42) + 9\/21)*-2. Let w be (-1 - -197)\/((-18)\/(-7)). Let j = t + w. Which is the closest to -0.05? (a) 4 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 5418?\nAnswer: 509292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435147973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163099733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*s**3*y + 4*i**2*s - 2*i*s*y**2 + s**3*y**2 + 5*s**3*y + 29*s**2 wrt i.\nAnswer: -2*i*s**3*y + 8*i*s - 2*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 943?\nAnswer: 4\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*w + 1088 - 1088 + (-w + 0 + 0)*(-3 - 2 + 1) as p*w + t and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 15*v + 19. Let h = v + -58\/3. Which is the smallest value? (a) -2\/3 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttq when three letters picked without replacement from ttttttttttttttqtttqq?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 - 20*j**3 - 4*j - j + 9*j**3 - 19*j**3 - 20*j**4 - 20*j**2 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172061, 172077, 172093?\nAnswer: 172109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49bd1 (base 16) to base 11.\nAnswer: -196a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6 = 0, 3*p + 101 = -2*y + 95 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12) - 1 - (-3 + 2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -8*r**5\/3 + 3851306*r**4\/3 + 6739838*r**3\/3 - 13479626*r**2\/3 + 962830*r = 0.\nAnswer: -3, 0, 1\/4, 1, 481415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 + 103596*x\/5 + 2897552\/5.\nAnswer: 4*(x + 28)*(x + 25871)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -105967 + -1128.178?\nAnswer: -107095.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 - 238\/3*h**2 - 37\/2*h.\nAnswer: -(4*h + 1)*(119*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16421261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 185 + 89 = -2*a, 4*a = -o - 3 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284423 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(6\/231)*-2. Is 22\/s + 12758\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 4:13 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - 3*sqrt(140)\/sqrt(4))\/(sqrt(1008)*2 - sqrt(1008)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211887.3 rounded to the nearest one thousand?\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 10\/(-4))\/(7\/14). Suppose -5*h + 406 = -3*t, -8*h - s*t = -5*h - 264. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 29\/(-3) - 26\/(-39) - -1054.\nAnswer: 27170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (sqrt(1872)*-1 - sqrt(1872))).\nAnswer: 5 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 26 = 2. Let w be ((-9)\/28)\/(a\/(-48)). Are -2 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 - 78. Calculate the remainder when q is divided by 37 - 1\/3*(-1 + 13).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8)*s\/((s**(-1\/2)*s)\/s*s))\/((s**(-12\/7)\/s)\/(s\/(s\/(s*s\/s**(-8\/9))))))**(-30) assuming s is positive.\nAnswer: s**(565\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 2*p - 64 = -17*a, 21 = -3*p. Let s(u) = -u**3 - 10*u**2 - 9*u - 10. Calculate s(a).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h + 4. Let r(w) = -29*w + 37. What is r(v(d))?\nAnswer: 609*d - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**4 + 5 + 15959*v**3 - 2*v**4 - 16020*v**3 as p*v**3 + b + s*v**4 + l*v + m*v**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522*1.68.\nAnswer: 876.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*x + 122 = -86 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73cb9 - fb?\nAnswer: -73db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 50, 56, 64, 74, 86, 100?\n\"Answer: p**2 + p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o + 1. Let t be g(0). Let d(y) = 6*y. Let n be d(t). What is the greatest common factor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14111234 (base 8) to base 9\nAnswer: 5881545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jowb when four letters picked without replacement from ofjwb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 10. Let y be l(-4). Let d = -11 - y. Suppose 0 = -4*n - t + 6*t + 103, 63 = d*n + t. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -344627 + 13096875\/38. Let z = 55\/2 - b. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 359*u - 2863. Let q be x(8). Solve o - 4 + q = -3*r, 4*o + 20 = 5*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1283796 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1009 and -122.697.\nAnswer: -1131.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 69 = -78. Is -21 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4) + 2)*(-96)\/(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 5 + 1 + 2. Suppose 2*m = 5*m - 3*s + 33, -23 = 3*m - s. Let r(u) = 2*u - 1. Calculate m*h(k) + 11*r(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2779 + 14876. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 + 1698 = 69*b - 982 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3)\/(4\/6). What is the common denominator of 47\/(-9)*(-3)\/m and 19\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u - 1. Let q be n(0). Let b be 13*q\/(-1) - -1. What are the prime factors of -16*(b\/(-8) + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/408 and (-32)\/((-2019328)\/251856) - 4?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 25*d**6\/2 + 12*d**5 - 189*d**4\/4 + 22*d**3\/5 + 138*d**2\/5 - 72*d\/5 + 37. Find r such that q(r) = 0.\nAnswer: -2, -3\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6665000 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/26, 0.2, 0.4 in ascending order.\nAnswer: -1\/26, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 6. Let t be q(-6). Let x = t + -13. Let n(v) = 3*v + 3*v - x*v. Let i(z) = -z**2. Calculate n(i(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 94320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43644 is divided by 364.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 244153 smaller than 244144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*z**2 + 283422884*z - 56684576.\nAnswer: -4*(z - 14171144)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5 - j**3 - 3*j - 15*j**2 + 4 + 6*j + 19*j**2. Let y(w) = 4*w**3 - 17*w**2 - 13*w + 3. Let p(b) = 2*y(b) + 9*z(b). What is p(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694740163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*j**3 - 344*j**3 + 956*j**3.\nAnswer: 1427*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395 - -1378. Let z = f + -1091.8. Round z to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4046, -8971, -14770, -21443, -28990?\nAnswer: -37411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10636, 21307, 31968, 42613, 53236, 63831, 74392, 84913?\nAnswer: 95388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395738 is divided by 2174.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 1986 = 2*y, 0 = -4*g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 64 = 0. Let m = n - -319\/5. Let r(d) = d**3 + 15*d**2 + 13*d - 14. Let f be r(-14). What is the closest to f in -3, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = 0. Let u(f) = -f**3 + f**2 + 13. Calculate the remainder when (52 - 0) + 8 + -9 is divided by u(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 23 + 11)*(-g**2 + 8*g**2 - 18*g**2)*((-1 + 1 + 2*g)*(g**2 + 7*g**2 - g**2) + 4*g**2 - 4*g**2 + g**3).\nAnswer: 8580*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 d when four letters picked without replacement from {e: 2, h: 15, d: 3}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4 + 1) + (-35)\/231. Which is the fourth smallest value? (a) -3 (b) 4 (c) 4\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + -4)*-2.\nAnswer: -2*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -215, -389, -605, -863?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/3 (b) -17.5 (c) 0.12 (d) 0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/18*8\/78?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-55)*1760\/(-3840)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/13)*t**5*t*((t\/(((t*t*t*t**(-1\/3)\/t)\/t*t)\/t)*t)\/t)**17)**23)**(-50) assuming t is positive.\nAnswer: t**(-516350\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*s**3 + 3*a*s**2 - 147*q*s**5 + 4*q*s**4 + 15*q*s**2 - 19*q - s**2 wrt s?\nAnswer: 18*a - 8820*q*s**2 + 96*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303\/5 + -4127\/70. Calculate the common denominator of f and 121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228601447 plus -21379?\nAnswer: 228580068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 642*l**3 + 6554*l**2 - 21774*l + 23832 = 0. Calculate l.\nAnswer: -331, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 0 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12296 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.412 + 0.812. Which is the biggest value? (a) -2 (b) 95 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3 + 1332*o**2 - 591408*o + 1695. Let z(q) = 0. Calculate q.\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*c - 3*a, -6*a + 4*a + 6 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -786*f. Let n(s) = 15800*s. Give n(g(i)).\nAnswer: -12418800*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 55320\nAnswer: -497880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/11, -2, 128958?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2359406 and 2286.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 3. Let g be t(-5). Let u be 1\/4 + (-201)\/g. What is the highest common factor of u and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 405849 and 219?\nAnswer: 29626977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tredtbfd. Give prob of sequence bd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z - 4. Let j be o(5). Let i(t) = -11*t**2 - t + 2. Let p be i(j). Let y be (-38)\/p - (-4)\/20. Let s(k) = k**2 - 5*k + 5. What is s(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 + 11218*p + 1249979. Calculate o(1506).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 10*f - 14. Let l be v(8). Suppose -l*j + 2*k + 175 = -27, 2*j - 230 = -5*k. Calculate the greatest common divisor of 42 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26887 + -26884. Factor 147\/2*g**5 + 60*g + 705\/2*g**q - 6 - 435\/2*g**2 - 525\/2*g**4.\nAnswer: 3*(g - 1)**3*(7*g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7732 + -216529\/28. Calculate the common denominator of 77\/16 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s = 42*s - 234. List the prime factors of (-38)\/(-247) + (-7094)\/s.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -1, 48 in increasing order.\nAnswer: -1, -3\/11, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -360970002 and 28.1?\nAnswer: 360970030.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821737003.\nAnswer: 139, 5911777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(75\/85) + 2\/6. Let b be (-10 + 3)\/(l\/(-12)). Let k = 89 - b. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5076 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 16*i + 16. Let a be p(15). Solve m + 31 = -3*m - 5*u, 4*m - 5*u = -a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaogdgddiiaddddd. What is prob of sequence doo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:55 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 87545?\nAnswer: -87544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-11) - 8) + (-64)\/(-60)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 196, 387, 574, 757, 936?\n\"Answer: -2*o**2 + 197*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24586065 divided by -8195355?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-26)*(-770)\/847.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3689 - 7351. Let a be (175\/(-21))\/(2\/o). Round a to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(3*sqrt(588)) - (sqrt(304) + -2 + 5)**2) + 1 + 5.\nAnswer: -307 - 503*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/15 + 244*c**3\/15 - 1904*c**2\/5 + 41356*c\/15 - 98098\/15 = 0. Calculate c.\nAnswer: -143, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382649?\nAnswer: 382649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (4 - ((-14 - -91) + 19))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 12*j + 8*j + 0*j + 4*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2358 not equal to -2361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**6\/120 + u**5\/30 - u**4\/6 - u**3\/6 - 3*u**2\/2 - 2*u - 8. Let j(z) be the second derivative of t(z). Determine j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:22 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -74 + 74 + 4*z**2. Let n(w) = -4*w**2 - 7*w. Let f(u) = -u**2 - 2*u. Let g be 11\/4 + (-12)\/16. Let x(v) = g*n(v) - 7*f(v). Calculate s(x(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -83*o + 1. Let c(s) = 164*s - 3. What is 3*c(v) + 7*x(v)?\nAnswer: -89*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -5*h, -3*h + 2*t = -0*t + 2. Let y(w) = 2*w**3 - 4*w**2 + 3*w - 2. Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 + 33*z + 142. Let k be o(-3). Let x be (-77)\/21 - (-2)\/(-6). Sort -87, k, x in increasing order.\nAnswer: -87, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12.02. Let a = s + -0.13. Let d = -0.10993 - a. Round d to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 650955 = s + 4360955, -14839987 = 4*s - 5*o. Let t be s\/7 - (-8)\/(-28). What is t rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 52. Suppose -2*m - n + 13 = -13, -4*m + 2*n = -c. What is the remainder when m is divided by 1\/(-4) - 21\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) - 132\/(-30). Suppose k*h + 5*w - 30 = 0, 2*w + 34 = 4*h + w. Let v(u) = 4*u - 3. List the prime factors of v(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let f be (-1655)\/(-5) + -5 + y. Suppose -2*k + f = -4*r, 651 = 4*k - r - 2*r. What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1472 + -1472. Solve 4*b + 3*y = 32, -4*b + y - 3*y + 28 = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51981*n**3*x**3 + 9*n**3*x + 388*n**3 + 150*n**2 + 10 wrt x?\nAnswer: 155943*n**3*x**2 + 9*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 + 6*n**2 + 5*n + 14. Let l(d) = 9*d**3 - 13*d**2 - 10*d - 29. What is 13*b(g) + 6*l(g)?\nAnswer: 2*g**3 + 5*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 1\/3*f**3 + 0 + 1\/6*f**4 - 1\/10*f**5 + 5*f**2 + 1\/120*f**6 + 0*f. Let p be t(5). Is -3\/2 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58982)\/1915)\/(21\/(-5))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20725.1 milligrams to kilograms.\nAnswer: 0.0207251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3844.352 grams to micrograms.\nAnswer: 3844352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*w + 365 + 45 = 0, -4*h + 5*w = -403. Suppose h*p = 111*p. Solve p = -12*y + 10*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/5)\/((44298\/(-6900))\/(-107)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 534.2777 millennia?\nAnswer: 53427.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 + 6*h + 9. Let p be f(-4). Let m be 0\/((2\/p)\/(4\/(-2))). What is the closest to 1 in 7, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1653788199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7521, 5816, 4097, 2358, 593?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*g - 39, -101 = -g - 98 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.20259316.\nAnswer: -1.20259316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 609 + -591 - (-3 + -1) - 40\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150930973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 3*f**3 + 2*f**3)*(-751 + 653 - 1545 + 494 - 1507)*(1 - 2 - 2).\nAnswer: 15936*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i = -3. Solve 11 = -i*p - u, -p - 3 = -u - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.482 + -0.04\nAnswer: 0.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 h, 1 s, and 1 n when four letters picked without replacement from {f: 2, s: 8, n: 2, h: 1, j: 1, e: 6}?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -13220002?\nAnswer: 13220031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136869 is divided by 68426.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923921 is divided by 485?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j + 6. Let a(u) = -58*u - 17. Let f(g) = -3*a(g) - 8*t(g). Let q = 518 - 516. What are the prime factors of f(q)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -2 - 1 - -16. Calculate the common denominator of 3\/22*7\/3 and 1\/x*(1 + 64).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -135, -299, -521, -795, -1115, -1475?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/6 + 2\/6. Suppose -3*k = j, 16 = 2*j - s*k - 28. Calculate the smallest common multiple of 2\/4 - (-46)\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s, o = -4*s + 60. Suppose 3*n = 5*n - o. Let x(w) = w - n - 4*w + 27. Calculate x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -16\/41, 3, 29, 0.5?\nAnswer: -16\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 q, and 2 e when four letters picked without replacement from {f: 8, q: 1, e: 3, w: 6}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 1036677*t**2 - 8293560*t - 16587216.\nAnswer: 3*(t - 345567)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/2 - 31*p. Let y(w) be the first derivative of -3*w**3 + 17. Give y(z(d)).\nAnswer: -324*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 2*h - 55. Let n = -6 + h. Suppose -4*a + 5*t + 16 = 0, 0*t - n*t + 4 = a. Solve 5*s + 5*u = -33 + 13, -a*u = -s + 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 3) in base 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*z + 5*a, -4*a - 13 = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 - 9 - 9)\/6. Let f = 1 + -1.04. Which is the fourth biggest value? (a) f (b) -5 (c) g (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21727\/16020 + -5\/801. Find the common denominator of 21\/62042 and n.\nAnswer: 620420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -1030\/9, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*a - 0*a + 86, 0 = s + 2*a - 10. Calculate the greatest common factor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 1389200954*k + 183*k**3 + 1389200954*k.\nAnswer: 183*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3500804*x - 3500809*x - 55, 4*x - 53*x = -p + 491 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309373.\nAnswer: 23, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-504)\/(-128))*(5 + -3 - -4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 120608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 555 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 9*j**2 - 11 - 5*j**2 + 12*j + 9*j**2. List the prime factors of s(10).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39173927, 39173924, 39173921?\nAnswer: 39173918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96096 and 49?\nAnswer: 672672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2567*z - 2681*z - 493 = 4637 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1205 - 861. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -3563469328\nAnswer: 3563469328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(175))\/(2*sqrt(288)))**2.\nAnswer: 1\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/4, 1\/27, -4, 10?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 35183\nAnswer: 35183.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9182 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/50*(16\/(-6) - -2). What is the closest to 0.2 in -72, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4 and 17\/1996802.\nAnswer: 3993604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**12*h)\/h*h)\/h)\/h**(1\/39) assuming h is positive.\nAnswer: h**(467\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100122 + -1?\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/22 - (30870\/154)\/(-21). Solve 12 = -o*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 37*k**2 + 6*k + 9. Is u(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from hhccc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.3 (b) 1 (c) -4 (d) 2947 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 6*i + 14. What is the greatest common factor of 40 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1764 = 9*l. Let y = l + 130. Solve -2*d = 2*d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 0*n - 4*n + (n + 0*n - 3*n)*(5 + 2 - 5) - 1 - 5*n + 0 + 2)*(16*n**2 + n**3 - 16*n**2) to h*n + z*n**2 + t*n**3 + i + d*n**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -944, -910, -862, -800, -724?\n\"Answer: 7*r**2 + 13*r - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 36. What is the smallest common multiple of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*(-55)\/33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6059 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50620 and 2733480?\nAnswer: 2733480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22d2 + -a82?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8985 + -148?\nAnswer: -9022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/(t\/t**(-6)))\/t))\/t**(-6)*((t**6*t)\/t)\/(t**(-6)\/t))**19 assuming t is positive.\nAnswer: t**494","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.0441.\nAnswer: 0.01764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10466399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 29) + (96 - 72)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/9 - 0). Let c(r) = r**2 + 6*r + 3. Let p be c(a). Let f(h) = -h**2 + 23*h - 83. Let y be f(19). Is y > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83366, 83365, 83364, 83363, 83362, 83361?\nAnswer: 83360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, 145 in descending order.\nAnswer: 145, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 71 + 313 = -2*v, 0 = -v + 2*a - 121. Let m = -12304 + 12205. Let y = m - v. Calculate the remainder when 43 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730059909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7040 - -4.\nAnswer: 7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - (-9 + 15)) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1292)\/(-340))\/((18\/(-165))\/(16\/(-176))).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36)\/(-8) + (-5827311)\/(-102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 154279615 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340079\/22 + -15461. Let r be (-2)\/5 - ((-194970)\/(-75) - -8). Let i = -41653\/16 - r. Find the common denominator of u and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18))\/(306\/(-2244))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*g**5 + 10476*g**4 + 1952346*g**3 + 3225784*g**2 - 16555080*g + 4421088 = 0. What is g?\nAnswer: -153, -4, 2\/7, 2, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -2\/3*q**3 + 0*q**5 - 38 + 0*q**6 + 0*q + 2*q**2 - 7\/24*q**4 + 39\/70*q**7. Find the second derivative of l(r) wrt r.\nAnswer: 1404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-64)*-4)\/(2\/6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/6)*g*g**(-14)*g*g assuming g is positive.\nAnswer: g**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h = 0. Suppose -3 = -i, h = -s + 2*s + 5*i - 19. What is the units digit of s\/(-22) - (-13)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.258, 2, 2\/5, 3\/7?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-1\/4))\/w*w*w)**(-1\/6)\/(w**(4\/5)\/w**12) assuming w is positive.\nAnswer: w**(1279\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61306 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h**(-3))\/h)\/h*h*h**7)\/((h**0\/h)\/h*h**(-3)\/h))**33 assuming h is positive.\nAnswer: h**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-379*i + 896*i + 846*i).\nAnswer: 1363*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1331) - (-1 + sqrt(1331) + 0 - sqrt(1331)) - -3*(-2 + sqrt(704))) + -1)**2.\nAnswer: -420*sqrt(11) + 13511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 - 1) + 0)\/1. Suppose 5*j = -0*j + 10. Suppose 0 = 2*o - j*z - 10, -z = -q*z - 2. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-198)*60\/(-190)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23*h**2 - 167*h + 44. Let j be v(7). Calculate the highest common factor of 2642 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21312140 (base 5) in base 6?\nAnswer: -3523214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1.76 (c) 9.7 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-10) + -1)\/((-120)\/(-200))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**3 - 9. Let h(n) = 2*n - 13. Calculate i(h(q)).\nAnswer: -12*q**2 + 156*q - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.47514 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*z = 613*z - 350. Let l = 112 - z. Solve -l*j + 6 = -40*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.6 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22253 - -10203. What is the units digit of (-8)\/(-36) + c\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 2*p + 0*p**5 + 0*p**3 + 0 - 1\/15*p**6 - p**2 + 0*p**4. Differentiate w(z) with respect to z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3)*m**(-7)\/m)**49 assuming m is positive.\nAnswer: m**(-1078\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 32 = 3*f, 4*f - f - 24 = -3*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. Suppose 2*c = 0, a + t*c = 2 + 2. Solve -a*l = -5 - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -547 + 941. What are the prime factors of w?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q**2 + 0)*(2*q - q - 3*q) - 3*q**3 - q**3 + 3*q**3 - 2*q**3 + 5*q**2 - 5*q**2 + 5*q**3 - 3*q**3 + 0*q**3 + 5 - 3 + q**3 - 1.\nAnswer: 4*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -15. Let v(x) = -13*x - 5. Does 17 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20639 and 0.4.\nAnswer: 8255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.084 to one decimal place.\nAnswer: -32.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15912.86059 - 0.36.\nAnswer: -15913.22059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/37875937 and -31\/330275.\nAnswer: 946898425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - 1062\/(-12) - (-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, -1, -170, -433, -790?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -88 - (0 - ((-32)\/4 + 4)). Let l = j + 107. Solve l = x + 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3824 (base 11) to base 8.\nAnswer: 11573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 28 = 35 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25443, 25442, 25439, 25434, 25427, 25418?\n\"Answer: -f**2 + 2*f + 25442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**2 + 39*h**3 - 41*h**3 + 38*h**2.\nAnswer: -2*h**3 + 80*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24999*x**4 + 38314?\nAnswer: -99996*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -13. Suppose l - 15 = -4*d, -2*d + 5*l = -d + i. Let x(g) = 4*g + 1. What is the units digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 7*p + 2. Let t be i(-6). Let j(h) = -h + 2. Let b(v) = 5*v - 11. Let c(w) = t*b(w) - 22*j(w). Let u(g) = -g**2 + g - g. Calculate c(u(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -9, -6\/5, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by -4\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 202456133 divided by -11\nAnswer: -18405103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1221 - 1211. What is the least common multiple of 111 and i?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 73053267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 - 82\/3. Let c = q + 63. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 4, k: 2, r: 1, p: 2}. What is prob of picking 3 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2 + 4*s**3 - 4*s**3 + 4*s + 5*s**2 + s**3. Let c = -21 - -19. Is v(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 8*r. Let n = -2 + r. Let a(s) = s + 8. Let m be a(-6). Is n <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*o**3 - 4*o + 49*o**3 + 44*o**3)*(0*o + 0*o + 2*o) - 4939*o**3 + 4939*o**3 - 126*o**4.\nAnswer: -136*o**4 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325.3 - 347. Let j = 2.5 + z. What is j rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25248 + -26452.7. What is v rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 39.6 (b) -2.447 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 563118235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151979916 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 108. Give y(10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*g + 57214 - 9591 = 2096*g - 5807 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) 4 (c) -57.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14384 - -15494. Calculate the smallest common multiple of 666 and b.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19508, -39021, -58534?\n\"Answer: -19513*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**13\/(y**5\/y**9) assuming y is positive.\nAnswer: y**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 7*a. Let s be 25\/4 + (-6)\/(-8). Let o be f(s). Suppose 5*n - 39 = -4*g, 0 = g + 3*g - 5*n - o. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-18)\/12)\/(1\/(-598)). Let q = d - 158. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2751 + 2751. Is 72 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/3 - -62\/21. Let u be (1\/(-14))\/(2\/8). Let w = 2.668 + 0.332. Sort a, u, w in ascending order.\nAnswer: u, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 + 145.3. Let o = k + 31.7000213. Round o to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13887 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2639196 and -85\/1764?\nAnswer: 18474372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4450000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**2 + 3*w - 6. Let h(l) be the third derivative of l**5\/20 + l**4\/24 - l**3\/3 + l**2 + 39*l. Let n = -3 - -5. Determine n*x(q) - 7*h(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/232 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 868900 to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.2 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 20 - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d + 9. Let r be m(5). Which is the nearest to -2? (a) -0.4 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in seconds?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6*w + 872*u + 104 = 437*u + 433*u, 0 = 3*u for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*p + 26, 3*x + 20*p = 8*p - 90 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 883 - 654. Calculate the remainder when y is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -664 - 2872. Suppose l*y - 129*y = 5782. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 3, j: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5648 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - ((416 - 401) + (-1 - (3 + 0)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.7063 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31792*l - 12 + 15882*l + 15896*l.\nAnswer: -14*l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17461 or -17460?\nAnswer: -17460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4375, 8890, 13405, 17920, 22435?\nAnswer: 26950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:12 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 7*m - 1. Let j(d) = -4*d + 1. Let b be j(1). Let p be k(b). Let u be (5 - 1)\/(-1 + p). Solve 7*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2731 - -2729.101. Round l to two dps.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i**2 + 92 - 92.\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8418669 divided by -26.\nAnswer: -8418669\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d + 3. Let r(i) = 10*i - 4. Let l(c) = -6*c + 2. Let y(m) = 7*l(m) + 4*r(m). Calculate -3*v(t) - 5*y(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*(-6)\/45.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/28 and -83\/2998.\nAnswer: 41972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q + 2. Let l be t(-4). Suppose -5*s = -3*s - l, -2*b - 4*s = -28. Suppose -3*f - 5*d = -b*d - 42, f - d - 18 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*o*w**2 + 2*i**2*w**2 + 2*i*w**3 + 114505*o*w**3 - 12146*w**3 wrt o.\nAnswer: -i**2*w**2 + 114505*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0 - -5) + -2 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, -1\/24, 1\/8, 5 in decreasing order.\nAnswer: 5, 3, 0.3, 1\/8, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*w**2 + 21*w + 3.\nAnswer: 3*(w + 1)*(6*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 23, 42, 67?\n\"Answer: 3*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 179*r**8\/28 - r**7\/21 - 1285*r**4\/12 - 3*r - 216. Find the third derivative of a(f) wrt f.\nAnswer: 42960*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61779.\nAnswer: 3, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2221, -2220, -2219?\nAnswer: -2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 12\/7 - (-45)\/210?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1990 + 1992. Factor 2\/5*q**5 - 4\/5*q**3 + 0*q + 0*q**f + 0 + 2\/5*q**4.\nAnswer: 2*q**3*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/4 + 247*o**2\/2 + 7631*o\/4 - 4063\/2 = 0. What is o?\nAnswer: -478, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - (sqrt(304)*-2)\/sqrt(8))\/(sqrt(18) + 2*sqrt(18)) - (-6*(-1 + sqrt(931))**2 - (sqrt(931)*-1 - sqrt(931))**2*-4)) + -1.\nAnswer: -9305 - 251*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(11\/3). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199615?\nAnswer: 5, 13, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 6 (c) 1 (d) -5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1957.62 to the nearest ten.\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 252040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/(-60))\/((-3)\/63))\/6?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q**3\/13 - 62*q**2\/13 + 46*q\/13 - 4\/13 = 0 for q.\nAnswer: 1\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-36)\/8)\/((-5)\/(-30)). Let b be 0 - ((-13)\/4 - -3). What is the smallest value in 2\/3, -4, h, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -142*d - 107. List the prime factors of h(-6).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 151*f**2 + 92*f**2 + 118.\nAnswer: -59*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + -5a48e?\nAnswer: -5a42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-166.9\nAnswer: 66.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 - -112. Let u(b) = -6*b - 22. Let g be u(v). Solve -g*k + 3 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -136\/3. Put -3\/7, w, 2\/5 in decreasing order.\nAnswer: 2\/5, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 33*z**2 + 198*z + 13. Calculate x(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -41, -55?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Suppose 5*l - 10 = -v. Suppose 3*g = -3*f + 34 + 32, -g = -5*f - 22. Calculate the highest common divisor of g and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 395*s**3 + 5 + 409*s**3 to the form u*s**3 + b*s**2 + m + w*s and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l**2 - 11*l + 2. Let m(s) = 7*s. Give q(m(k)).\nAnswer: -392*k**2 - 77*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/5, 20, 0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 375*i**2 + 46875*i - 1953125 = 0.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179629048?\nAnswer: 2, 22453631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.0774 to 1 dp.\nAnswer: -44.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s**2 + s. Let u be a(-1). What is the common denominator of 14\/49 + (-1198)\/(-168) and 210\/4 - u\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -790, -1802, -3230, -5080, -7358, -10070, -13222?\nAnswer: -16820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -0.27 (c) 3 (d) 0.31 (e) 8.3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (16 - 2) - (-8 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*q + 37, 0 = x - 3*q - 3940. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2668521 is divided by 401.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 128*r - 281. What are the prime factors of j(18)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700583 = 53*j - 21*j - 744889. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142949231 + -69.1?\nAnswer: 1142949161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 255. What is g(41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*j**2*p**2 + 43630*i*j**2*p + 5*i*j*p**2 - 64*i*j*p - 3*i*p**2 - 38*j**2*p**2 + j*p**2 + 558 wrt j?\nAnswer: 4*i*p**2 + 87260*i*p - 76*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -743447442?\nAnswer: 743447421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88\/39 + 1\/13. Which is the closest to -0.2? (a) -1\/6 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-6) - (-2)\/4. Suppose -2*v + x*n = -243, 0 = v - 5*v - 2*n + 510. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 3:52 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382458797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 7863 = 7895 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*y = -13, 66*y = -3*l + 69*y + 9. Suppose -4*c - 636 = -6*c + l*b, -3*c = -2*b - 974. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 - -10?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/12)\/((-6)\/((-48)\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206925125 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*d**2 + 1595*d**2 + 2547*d**2 + 2369*d**2 + 2 - 10*d**3.\nAnswer: -10*d**3 + 5310*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984246 (base 11) in base 6?\nAnswer: -301350021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104202 - 5?\nAnswer: 104153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -602891 - 27?\nAnswer: -602908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -3*f + 5*f, 3*j = 0. Suppose f*p + 3621 = 7*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606455 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 0.2 (c) -24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f. What is the tens digit of u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340 or -341?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 547.3 + -547. Which is the third smallest value? (a) -0.3 (b) x (c) 18.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((1\/1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Let o = 4 + v. Suppose -q + 2*b = 6 - 58, -o*q = -b - 194. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 3, j: 1}. What is prob of sequence bfjf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/6354 and -57\/7060.\nAnswer: 63540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**2 + 53676 - 5*j**2 - 17*j**2 - 53676 - j**2 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/32238640 and -109\/300.\nAnswer: 483579600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*c**4 - 5*c**2 - 2*c wrt c.\nAnswer: -5400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1101, 4514, 10263, 18366, 28841, 41706, 56979, 74678?\nAnswer: 94821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 + 7 + 386*c**4 - 127*c - 345*c**4 wrt c.\nAnswer: 492*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -6.32?\nAnswer: -8.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 17924229293871.\nAnswer: 17924229293876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2805 and -11\/3580.\nAnswer: 2008380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (14 - 8) - (-2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/36 and -20\/38156241?\nAnswer: 457874892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, -4, 0.06, -153 in descending order.\nAnswer: 0.26, 0.06, -4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6074 - -373.6874. Round f to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12\/19 (b) 41 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1160*o - 480*o + 14280 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2472888*n + 2473027*n + 10425 = 0 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((24 - 24 + s)*(11*s - 4*s + 3*s) + (3 - 4 - 2)*(2*s**2 + 2*s**2 - 2*s**2) + 2 + 2*s**2 - 2)*(2*s - 2*s - 2*s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.514129 to 3 dps.\nAnswer: -1.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*j + 940*j = -4, 2*y - 3*j + 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**6\/15 - 2*v**5\/5 - 19*v**4\/6 - 14*v**3\/3 - 55*v. Solve j(u) = 0 for u.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 11 - 31 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607123306 to the power of 1\/2, to the nearest integer?\nAnswer: 24640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 65\/639227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(99) - sqrt(99)*-3*-6) + -4 + 1)**2 + 3.\nAnswer: 180*sqrt(11) + 9912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 29*k**2 + 12*k + 23. Let p(r) = -24*r**2 - 12*r - 18. Let i(m) = 5*b(m) + 6*p(m). Determine i(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 q, and 1 b when four letters picked without replacement from bbbbbbqcbbcbbbbqqbbb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -11a4?\nAnswer: 11a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + w - 6*w - 17 = 0, -5*w - 13 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030427 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -105877 and 153768.4.\nAnswer: 47891.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 7*v**3 + 1.\nAnswer: -7*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 66805400 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*r = -370*r + 198*r - 444 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136, -443, -956, -1675, -2600, -3731, -5068?\n\"Answer: -103*x**2 + 2*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 478*z - 721. What are the prime factors of b(77)?\nAnswer: 2, 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)*(-16)\/6. Let r be 3*(-8)\/6 - g. Suppose 28 = 2*p + 18. Put p, -5, r in descending order.\nAnswer: p, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v**4 + 1 - v + 1 - 3*v**2 + 0*v**4 as r + w*v**4 + h*v + j*v**3 + p*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/24 - w**3\/6 - 3*w**2. Let n(r) = 10*r - 12. Let y(k) = 12*j(k) - n(k). Let l(s) = -2*s**2. Give y(l(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -31, 2\/51, -0.1 in ascending order.\nAnswer: -31, -2, -0.1, 0, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 10, -p = -2*p + 2*h - 2. Let q = -3 + p. What is the third derivative of -q*r**2 - r**2 - 5*r**4 + 4*r**2 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (-4 - (-1 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16425 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1539 divide 69379951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6194696 - 0?\nAnswer: -6194696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 1150525.22.\nAnswer: 1150528.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 2 (c) -4082 (d) 5 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/39? (a) -0.1 (b) -1\/24 (c) -12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 477*s + 4141. What is the remainder when g(-7) is divided by 136?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6819\/4 (b) 2 (c) 3 (d) -0.02 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14843 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: Which is the closest to 3\/5? (a) -0.3 (b) 6\/11 (c) 4\/5 (d) -54\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 641?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*a + 4*o, -2*a + 4*o = -0*o - 20. Let g be a + 0 + 0 + -2. Suppose 0 = -4*q + 22 - 2. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456352 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107488.315 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4953518 is divided by 103198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Let g(l) = -6 + 7 + 1 + 2 + 4*l. Let r(s) = -2*f(s) - g(s). Give r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 5. Let g(i) be the first derivative of i**3\/3 - 3*i - 86. Let c(w) = -5*g(w) + 3*z(w). Determine c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -343632.9375 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 113 + 21 = -121*q. Let d(h) be the second derivative of -2 + 3\/4*h**4 + 4\/3*h**3 + 3*h + 2*h**q + 1\/20*h**5. Determine d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1017, -2077, -3137, -4197?\n\"Answer: -1060*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.9618886.\nAnswer: 4.809443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 1 + h**3 + 2*h**3 + (-3*h**2 + 2*h**2 + 0*h**2)*(-3*h - 2*h + 3*h) as s*h + i*h**3 + u*h**2 + r and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 5*i + 8. Suppose 0*n - 3*y + 5 = i*n, -2*n - 2*y = -4. Solve -d - n + 7 = -2*o, 0 = 5*o + 5*d + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 85320?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6658686.\nAnswer: 2, 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 12*x**2 + 11*x. Let o be s(-11). Suppose 3*r + 95 = 4*h, o = 2*h - 0*r - 2*r - 50. Calculate the remainder when 178 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 33246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajww when four letters picked without replacement from zzgwejazjewe.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/90 - w**4\/18 - 2*w**3\/27 - 7*w. Solve m(h) = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 3)*(-3*h - h + 5*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4, -2*m + 6 = -6*m + 3*n. Let h = 31 - 30.6. Which is the closest to 1\/2? (a) m (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:07 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 - ((-24)\/9)\/(-2). Suppose 52*l = 49*l + 24. Which is the smallest value? (a) l (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(1\/9) assuming h is positive.\nAnswer: h**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 13452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 34763465 - 11587822 - 11587822 - 11587821.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162.9266 - 163. Let w = 0.082 + v. Round w to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 5*z - 3*z**2 + 6*z + z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/28)\/((-56)\/(-84)*(-3)\/7)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*-1*(-4)\/12 + (-99)\/(-66). What is the second biggest value in g, 7, -1\/2, -3, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314677 (base 8) in base 15?\nAnswer: 21130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48301723 - -48299277.98851. Let v = -2445 - l. Round v to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70886 is divided by 23625?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.27 * 1.5.\nAnswer: -12.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.39, -16 in descending order.\nAnswer: 0.39, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67532383*l**4 - 397619*l**2 + 20.\nAnswer: 1620777192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 5*y - 4. Let l be a(6). Suppose -15*b - 2*b + 68 = 0. Solve b = -5*w - 4*m, 3*w - m - 3 = l*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 15*v**3 - 3*v + 8*v - 8*v - v**2 in the form a*v + t + u*v**2 + j*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 14, 23 in increasing order.\nAnswer: -4, -3, 4, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17128, 17040, 16794, 16312, 15516, 14328?\nAnswer: 12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712239?\nAnswer: 59, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unpd when four letters picked without replacement from {q: 2, m: 1, d: 1, n: 3, u: 1, p: 4}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 29*b**3 - 5*b**2 - 16*b + 53. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4664, 4663, 4662, 4661, 4660, 4659?\n\"Answer: -x + 4665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o**2 - 2*o - 9*o**2 + 31*o**2 - 9*o**2 + 66. Let z be m(0). Calculate the highest common divisor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 4. Let w be k(5). Suppose 0 = 4*j + 3*i - w, 5*j + 3*i - 16 = -0. Suppose 0 = j*u + 1260 + 1840. Round u to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 2*u**2 + u**2 + (-39 - 213 - 154 - 107)*(0*u**2 - u**2 - u**2).\nAnswer: 1028*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 99522018*s**2 + 825386105088036*s + 1650771812088024.\nAnswer: 3*(s + 2)*(s + 16587002)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8a (base 12) in base 14?\nAnswer: -1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32640600.435776 - 78063105.435774. Let d = k - -45422565. Let r = d + -60. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11946.5208 - 2.691.\nAnswer: 11943.8298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**3 - 6*q**3 + 23*q**3 + 12*q**3.\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 362*0.026\nAnswer: 9.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 8. Let v be (q + 1)\/(3\/117). Let z = v - -68. Solve 5*m = 2*n, 2*n + 2*m = -3*n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 8*b - 5. Let d be r(6). Let l(t) = t**2 - 7*t + 8. Let m be l(d). Solve -3*f + 4*o - 16 = -f, m = -4*f - 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/49*-7 + 551. Let m = g + -529. Suppose -2*l + 174 = 4*h, -3*h + 5*l + 125 = l. Calculate the remainder when h is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**3 - 11263835*z + 62313699 wrt z?\nAnswer: -3*z**2 - 11263835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 201 and 37.\nAnswer: 7437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 23*l**4\/4 - l**3\/6 + 13*l**2\/2 - 12*l. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 129*x**2 + 939*x + 1813. What is b(136)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/2))\/m**(3\/8))\/(m**(1\/3))**(3\/4))\/((m**(1\/4))**(2\/3)\/(m**(-1)\/m)**17) assuming m is positive.\nAnswer: m**(-799\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/7 + 384\/(-336). Let d(r) = -r**2 + 6*r - 3. Let n be d(5). Find y such that -2\/5*y**n + v - 2\/5*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/((7\/8)\/((-319)\/(-957))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-11) + (0 - -2) + 1. Suppose -5*x = -c*x + 49. Let d = 52 + x. Solve d*a - 17 = 2*a - 4*b, 0 = 3*a + b - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -53, -5, -12 in ascending order.\nAnswer: -53, -12, -5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.1. Let b = 1.8 - 2. What is the third biggest value in v, b, 1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.4, 0.328, 0, 2\/5, 2723, 2?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136 - 4*r - 2*r**3 + 4*r**3 - 4*r + 273 - 3*r**2 - 133 to c + y*r + b*r**3 + m*r**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -42*b**2. Let s(f) = -182*f - 180*f + 427*f - 175*f. Calculate s(r(c)).\nAnswer: 4620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3528 + 3422. Which is bigger: i or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 764*k + 760.\nAnswer: 4*(k - 190)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221022202 (base 3) to base 10.\nAnswer: -18461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g - 3. Let m(c) = -4*c**2 - 8*c + 8. Let l(v) = 8*i(v) + 3*m(v). Let s(t) be the third derivative of t**4\/2 - 42*t**2. Give s(l(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Let f be j(6). Let y(b) = 47*b**2 + 1. Let h(p) = 18*p**2. Let q(o) = -5*h(o) + 2*y(o). Let w(m) = -2*m**2 - 1. Determine f*q(t) - 5*w(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -2.7. Suppose -5*t + 5*h - 20 = 0, -8 = t + 2*h - 4*h. Suppose t*g = 3*g + 3. What is the nearest to g in 3, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-232 - (-21 + -140)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150.99999749 + -151. Round x to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 14)\/((9\/(-3))\/(-5*3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 - -14.33. Is x not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -379\/5 + 76. What is the second smallest value in n, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2. Let w(y) = 28*y - 4. Let g(o) = -3*o + 1. Let m(h) = 4*g(h) + w(h). Determine m(n(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -70.099. Round j to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 4 (b) 0 (c) 2 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose -x - 1 = -c. Which is greater: 9\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7733773 at least as big as -7733775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -37501*s - 46688745. Calculate p(-1245).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + d**2 + 2 + (-3*d - d + 5*d)*(-d + 0*d - 2*d) - 11*d**2 + 80*d - 2*d**2 - 78*d to m*d + q + s*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/105 + w**4\/3 + 14*w**3\/3 - 24*w**2. Find h such that s(h) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 21*z - 7. Determine v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89250 - 89252. Let j be (-1 - 1)*(-2)\/14. What is the nearest to j in -2\/13, d, 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9230751 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:31 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6)**(-4)*(m\/(m*m**(2\/21))*m)\/m*m*m**13)**(-19\/3) assuming m is positive.\nAnswer: m**(5624\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693638107?\nAnswer: 3, 299293123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 1. Let c(j) = -629*j + 28. Let a(o) = 754*o - 32. Let l(i) = 5*a(i) + 6*c(i). Let q = -9 - -3. Calculate q*h(k) + l(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -884*h**2 - 400*h + 160*h**2 + 4*h**3 - 272 + 214*h**2 + 209*h**2 + 177*h**2 = 0.\nAnswer: -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d + 1. Calculate the remainder when k(-7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421 (base 13) in base 3?\nAnswer: 101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15076 (base 8) in base 2?\nAnswer: -1101000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(9)\/sqrt(3) + -1)**2 - -2*sqrt(48)).\nAnswer: 24 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5\/2)\/(-5))\/(13\/(-26)). Is 9\/100 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {j: 2, k: 4, v: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/((-16)\/(-36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 + 23*i + 21. Let t(k) = 2*k**2 - 21. Let o(v) = -5*h(v) - 6*t(v). What is the first derivative of o(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**3 - s**2 + 7*s + 5. Let q be 4\/2 - (-2 - -10). Let d(g) = 7*g**3 + g**2 - 8*g - 6. Determine q*o(p) - 5*d(p).\nAnswer: p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2aaa04 + 0?\nAnswer: 2aaa04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76718 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 261*w = -265*w - 18, 0 = 3*v + 4*w - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - 1)\/(6 + -5). Suppose 100 = c*k - k. Find the second derivative of -269 - k*p**2 - 32*p + 269 wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**8\/6720 - a**7\/840 - a**6\/720 - a**5\/40 - a**4\/8 - 15*a**2. Let p(d) be the second derivative of y(d). Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/41)\/z*z**6 assuming z is positive.\nAnswer: z**(248\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7076*g**2 - g. Let l(q) = -4*q + 1815. Give l(s(x)).\nAnswer: -28304*x**2 + 4*x + 1815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11840000 to the nearest one hundred thousand.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 29.78. Let w = -0.02 - f. Let i = 0.03 + 0.27. What is the nearest to -2\/5 in 1\/4, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + x - 3. Let k be p(2). Let a = 13 - k. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 27*h = 25*h + 13, 2*p + 137*h = 141*h + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 2. Suppose 4*t - 2*n + 4 = 2*n, 5*n = 3*t + 1. Let o be x(t). Put 3, o, 5 in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (3 - (4 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:49 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:25 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 521035 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-44) - 2)*-1143. Let n = 1765 - s. Is -1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 7*g**3 + g + 183*g**4 - 607*g**2 + 3*g**3 - 3*g + 608*g**2 in the form z*g**4 + q*g + y*g**2 + l + u*g**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 10*s**2 + 10*s + 7. Let v be r(9). Let o be (24\/(-64))\/((-2)\/v). What is the second derivative of -3*t + 13*t**3 - 15*t**o + 2*t + 4*t wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5 - 1. Suppose s*c - 2*c = 1. Let y(t) = 2*t**2 - t. Let z be y(c). Put z, -4, 4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56559179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188008071.\nAnswer: 3, 71, 79, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/6 - 69839*o**2\/6 - 1219406399*o\/6 - 1219336561\/6 = 0.\nAnswer: -34919, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + 7 - 26) + 216. What is the highest common factor of c and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 1561*d**3 + 5*d + 1558*d**3 + 1554*d**3 - 4671*d**3 - 7*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3917 is divided by 97.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*14\/336*42\/(-4).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/5, -85, -134 in decreasing order.\nAnswer: 4, 3\/5, -85, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -301.64 + 319. Let q = a - 17.356836. What is q rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84734.02 millennia in months?\nAnswer: 1016808240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**2 - 4*o**3 - 3*o**6 + 1 - 9*o**6 + 11*o**6 + 2*o**2 wrt o.\nAnswer: -120*o**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from nnnnnniiinnnnnnn.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1377 or 1?\nAnswer: -2\/1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y. Let u(k) = -1070*k**2 + 4*k. Determine u(c(o)).\nAnswer: -86670*o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 391*q**2 - 4926*q - 23. What is c(13)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 - u**3\/6 - 4*u**2. Let s(i) = -3*i - 2. Let l = 29 - 43. Let f be (-4)\/l - (-54)\/7. Determine f*g(p) - 3*s(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/5 + 34\/5. Sort 3\/4, -1, a, -2 in descending order.\nAnswer: 3\/4, a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12641 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:06 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*b**3 + 72 - 201 - 1780 + 94*b**3.\nAnswer: -4*b**3 - 1909","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*b - m = 239*b - 5, -5*m = -45. Suppose 0 = 4*g - 104 + 36. What is the lowest common multiple of b and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 508*d + 490*d - 3.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2357*b - 36 = j + 2353*b, -2*j - 157 = 3*j + 3*b for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 6. Calculate u(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -729868 divided by 11?\nAnswer: -729868\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 19 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11717 + -4839. Let s = 2027 - b. Let j = s - -2751. Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 + -336. What are the prime factors of (9\/3 - s) + -3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)\/sqrt(400).\nAnswer: sqrt(19)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31751 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*m + 49 = -3*m, 25 = 5*l + 5*m. Solve 2*a + l = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 10 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-4))\/(21\/(-9) - -2). Let r(h) = -f*h + 6 - 3*h - 3*h + 3*h. What is the remainder when r(-7) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (1 + sqrt(300))*1 + 5*(sqrt(300) + -1) - -6*(sqrt(300) - (-5 + -1 + sqrt(300))))**2*-3.\nAnswer: -47172 - 13440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 392, 781, 1170, 1559, 1948?\n\"Answer: 389*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/7 + -43\/21. Let f = 31 - 30. Suppose x + 8 = -3*b, x + f = 2*b + 8. Are d and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.27364 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - f = 27, 5*k - 97*f = -64*f + 2 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-12)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*q + 21729, 4*h - 14658 = 3*q + 14300. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 541*a*q**3 - 21*a*q**2 + 11*a*q + 4*a + 5194533*q**3 with respect to a.\nAnswer: 541*q**3 - 21*q**2 + 11*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15+-1868\nAnswer: -1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220396783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*l + l - 62, 4*l - 5*m = 78. Suppose -29*i = -l*i - 252. What is the remainder when i is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p - 12*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1953536 and 22893?\nAnswer: 5860608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let z = -18491 - -18493. Let t(r) = -2 - 2*r + 1 + 1. What is z*t(n) - 3*m(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*n + 47, 0 = u + n + 651 - 638 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, t: 7}. What is prob of picking 3 r?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*r = 2699985, -5*g + 0*r - 2699994 = 2*r. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 52 = 2*u - 2*c, 0 = 4*u + 3*c + 144. Let v be (6\/(-5))\/(u\/110). Solve -x - 29 = 2*x - v*g, 0 = -3*x - 3*g + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, x: 9}. Give prob of picking 1 h and 1 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 + 5*b**4 - 1 - 1 - 2*b - b**2 + 3*b**3 + 0*b**4 to the form v + d*b**3 + u*b**2 + y*b**4 + l*b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5234249223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -7, 3.3 in descending order.\nAnswer: 3.3, 2\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c. Let n(b) = -5*b + 13. Give y(n(m)).\nAnswer: 20*m - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.409 - 2.591. What is the smallest value in -1, 35, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655645, -1310945, -1966245?\nAnswer: -2621545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*j + 245*j + 220 = 0. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -437075.6 * -5.\nAnswer: 2185378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330 (base 6) in base 3?\nAnswer: 202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*j**5 + 16*j**4 + 16*j**2*n - 10*j*n - 3*n + 58 wrt j?\nAnswer: -500*j**3 + 192*j**2 + 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = 20. Let l be k + -5 + 3 + 3. What is the third derivative of -4*u**2 - 5*u**5 + 0*u**5 + 4*u**5 + 3*u**l wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 16) + 0 + 2994. Calculate the highest common divisor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 2\/7, 1\/7, -4, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose -5*h + k*f + 110 = -3*f, 2*f = -h + 7. Factor 2*y - 15 + y + h - y**3.\nAnswer: -(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1672494401.5 + 0.1987\nAnswer: 1672494401.6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 11) to base 10.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -3*n - 9698, 4*d = n + 3218. Let w = n - -2207. Let m = w - -1567. What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4669 + 0.24?\nAnswer: -4668.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + -5 + sqrt(891) + 0 + sqrt(891)*1 + -4*(sqrt(891) + -4*(sqrt(891) + -1 + sqrt(891))))**2 + 2).\nAnswer: -56700*sqrt(11) + 4011715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2. Give w(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37396 + 9396. Round z to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*w + 13*w**2 - 8*w**2 + 74*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*q + 6709, 4 = -2*q - 4. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(605) + sqrt(5))**2 + (sqrt(720)*3 + -1)**2 + sqrt(720).\nAnswer: -12*sqrt(5) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*p. Suppose 5*b = p*a - 61, 3*b - 2 = -17. What is the least common multiple of a and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/3, 6, 0.01, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 291 - 884. What are the prime factors of b?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89995 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6*k + 54 = 0. Let y be (-5)\/(0 - (-15)\/k). What are the prime factors of (3 - y) + 168 - (-5 + 7)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 + 0*q**3 - 3*q + q**2 + 7 - 7*q**2. Does 7 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122771.\nAnswer: 11, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.406 + -7. Let a = -0.047 - 0.553. Let c = m - a. What is c rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16520861219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + r**2 + 6*r + 3. Let y be w(-3). Let a = 513\/5 - y. Let q(v) = v**2 + 9*v + 3. Let t be q(-8). Sort a, 2, t in ascending order.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7*j = 13*j. Let f(o) = o**2 + 6*o - 7. Let z be f(5). Suppose -2*q + j*q = -z. What is the remainder when 69 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**5 - 1702*u**4 + 29043*u**2?\nAnswer: 300*u**2 - 40848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 - 4*o + 5. Let t be z(10). What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*l + 78 = 0, 0*o + 4*l - 36 = 2*o. Which is the smallest value? (a) 1\/11 (b) o (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -1\/6, -111, 0.7 in decreasing order.\nAnswer: 11, 4, 0.7, -1\/6, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6984 and 117000?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1323 + 220. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(3 - 5 + 3)*(-i - i + i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70684637*f**4 + 117472*f + 619 wrt f.\nAnswer: 848215644*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:11 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -45*w - 3647. Give y(-81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l**(5\/4)*l)\/(l**(2\/7)\/l)**40*(l*l**(-1))**(4\/7)*l**(-5)\/l**2 assuming l is positive.\nAnswer: l**(723\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 820616*c**2 - c - 5 - 820635*c**2 + 2 + 6*c**4 to the form o*c**4 + y + w*c**3 + l*c**2 + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134966450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 41 = 4*f, -1880*c + 1879*c + 1 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11595258 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/41)))\/o*o**16*o**10\/(o**19\/o))**(-20) assuming o is positive.\nAnswer: o**(-5780\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0*s + 4*s + 20 = 0, -9 = -3*s for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 12*x - 3*a - 105, 0 = 4*x - 2*a - 148. Suppose -48*u + 60741 = -x*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 3*k = -350. Suppose 7*v - 5*v - k = 0. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 97*y**2 - 23*y - 64. What is the tens digit of k(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -601*p - 8 = -605*p - 2*s, -4*p + 14 = -s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16430.4 months?\nAnswer: 1369.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -48, 2, -2, 5.\nAnswer: -48, -2, 2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) + (-1*sqrt(170)*-1 - sqrt(170))))\/((sqrt(60) - (-4*sqrt(300)\/sqrt(5) + sqrt(60) + sqrt(60)))\/sqrt(6)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 - 15*t - 90 = 0. What is t?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -39*n. Let m(x) = -765*x - 767*x + 1530*x. Give m(w(u)).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 223*i - 33*i**2 + 223*i to a + n*i + x*i**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:08 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 384.898 millimeters?\nAnswer: 0.000384898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + 4 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ily when three letters picked without replacement from {d: 1, l: 2, g: 1, p: 1, i: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124705 - 498819\/4. Determine z so that w*z**2 + 5\/2*z - 1\/4*z**3 + 2 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = i + g - 55, i - 43 = -3*g. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*(594\/(-36))\/(-33)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 3*a**2 - 4*a + 4. Let q be -1*(1 + 0) - 3. Let v be j(q). What is the derivative of 8 - 4 - 6*p - v + 10 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1720361 and 50?\nAnswer: 86018050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15192*x + 15095*x - 194 = 0. Suppose -5*h - 6 - 29 = 0. Sort 5, x, h, 1.\nAnswer: h, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -1891643.\nAnswer: -1891565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = 5*a - 7, 4*w - 4*a + 12 = 0. List the prime factors of (-14)\/3*(-43 - -1 - w).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-14.7\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211786, -209476, -207166, -204856, -202546?\nAnswer: -200236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k + 3 = 63*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8208)*-2 - sqrt(57))\/(-6*sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3)))**2.\nAnswer: 11875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 - 68. Let p = -116 + k. Calculate the remainder when 139 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 48475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1411419 * -0.2.\nAnswer: 282283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409877 rounded to six decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1733264 divided by 66664\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (145\/(-10))\/((-2)\/4). Suppose 3*f + 5 - w = 0. Suppose -f*q + 40 = -3*q. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(1\/1)\/1. Suppose q*y = -y + 42. Suppose 0 = 5*s + 4*t - 101, -10*s = -13*s + 4*t + 67. What is the highest common factor of s and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*x**4 - 99*x**4 + 102*x**4 + (-2*x**2 - 3*x + 3*x)*(27*x**2 - 65 + 65).\nAnswer: 65*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 18, 0, -18, -36, -54?\n\"Answer: -18*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 7, x: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-14))\/(1870\/(-595)))\/(20\/(-55))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 882244*g - 194588618884.\nAnswer: -(g + 441122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/18221418 and -115\/24.\nAnswer: 72885672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6732 = -11746. Let i = 166393\/18 - z. What is the common denominator of i and 67\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*h - 561 = -194*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124341410 (base 5) to base 3.\nAnswer: 1011120111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 17*j + 147. What is s(18)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*(10 - 12\/(-4)). Suppose u - 18 = 7*u. Sort w, -5, u, -2.\nAnswer: -5, u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1106, 2197, 3288, 4379, 5470?\nAnswer: 6561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177297 is divided by 1659.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336321006 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10833, 10790, 10717, 10614?\nAnswer: 10481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 1, g: 1}. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-256)\/(-3))\/(13\/(-39))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/788 and 99\/304168.\nAnswer: 304168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 257*a**2 - 1. Let f(q) = -4*q**2 - q**3 - 5*q**2 + 316*q - 3 - 324*q + 4*q**2. What is the remainder when d(1) is divided by f(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 128.4. Which is the closest to 2\/5? (a) -0.5 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 6*q**5 - 2*q**5)*(-4 - 13 - 18).\nAnswer: -35*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 4) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 0.2464334904.\nAnswer: -3.7535665096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001552452 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*k - 42, 2*k - 24 = -2*s - 12. Is 112 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 23*t**4\/24 + 4*t**3\/3 + 14*t**2. Let x be z(4). Let k = 193 - x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19720777 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124 - 5*u**3 - 16*u + 123 + 7*u**3 to the form q*u + z*u**3 + h*u**2 + a and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/11)*w**(5\/7)\/w*(w\/(w*w**(6\/5)))\/w*(w\/((w*w\/(w\/(w**5\/w)*w))\/w))\/w assuming w is positive.\nAnswer: w**(-1657\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-5\/3)*i**(1\/4)*i*i**3\/(i**1\/i)*((i\/(i\/(i*(i*i**(-1\/6))\/i*i)))\/i**6)**(-29) assuming i is positive.\nAnswer: i**(1493\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*a - 77*a - 66*a)*(-4 + 4 + 1)*(0 - 4 + 5).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8c49 (base 13) to base 3\nAnswer: -222222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 90 = -30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 66. Let z = 117 - 130. Let g be x(z). Suppose -4*n = -n - 12. Which is the nearest to g? (a) n (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1)*-1.\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 3. Let v(m) be the third derivative of 36*m**2 + 5\/24*m**4 + 1\/60*m**5 - 1\/120*m**6 - 1\/3*m**3 + 3 + 0*m. Determine v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1353 - 1353. Let b(g) be the first derivative of -12 - 5\/3*g**3 + 0*g**2 + y*g. Let t(c) = -2*c. What is b(t(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let v = 51 + 0. Let p = 53 - v. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d86 (base 14) to base 4\nAnswer: 1110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(198))\/sqrt(11) + (sqrt(18) - sqrt(108)\/sqrt(96)).\nAnswer: 33*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 7*z - 4*z)*(4*z - 2*z - 5*z) - 934*z + 1857*z - 923*z + 1574*z**2.\nAnswer: 1562*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/(164\/123)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18369571959 + 18369571872.99999941. Let s = -1.193 + 87.193. Let j = f + s. What is j rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkmkkokokokokwkk. Give prob of sequence wkmk.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, 15, -4 in ascending order.\nAnswer: -4, -2, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/137, 5, -4, -1, 0, 1\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1189 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 4) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-122)\/(-3). Suppose -y = -4*s + 2*v + 3*v, 10 = s - v. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 2\/1*312\/12 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303081 is divided by 434358.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghghnghhhhhghnj. What is prob of picking 3 h?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 10*h + 11. Let c(n) = 3*n**2 + 15*n + 17. Give 5*c(s) - 7*t(s).\nAnswer: s**2 + 5*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472335513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 1:41 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 912, 1850, 2824, 3840, 4904?\n\"Answer: j**3 + 12*j**2 + 895*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + s + 5 = 6*s, -2*s = 3*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 4 - 5 - 5 + 0. What is the least common multiple of h(-7) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:17 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -234, 3, -9 in descending order.\nAnswer: 5, 3, -5, -9, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144*(18\/4 - 14\/(-28)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i + 4*i**2 - 2*i - 2*i**2 - 1 + 0*i. Let h be (-21)\/12 - (-2)\/(-8). List the prime factors of s(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84068 divided by -4.\nAnswer: 21017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26624937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q\/((q**(3\/5)\/q)\/q)*q)))\/q**0)**42)**(6\/19))**16 assuming q is positive.\nAnswer: q**(68544\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235046*s**2 - 133*s - 164 wrt s?\nAnswer: 470092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101992295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-8)*((-368)\/(-16))\/69?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*x - 4*u - 67, 0 = 5*x - 4*u - 59. Suppose -2 = -5*q + 2*r + 19, -x = -q - 5*r. Calculate the remainder when 38 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 14*d**2 + 11*d - 27. Determine m(8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15950 (base 12) to base 13\nAnswer: -10cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(275) + 2 - 2*(sqrt(275) + -2))*-2 + -3)*-4)**2.\nAnswer: -25920*sqrt(11) + 170064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000388077 rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((200\/(-24) - -4) + 5)*26949.\nAnswer: 2, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:53 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 140*p**2 - 2*p - 12. What is the units digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18758 or 18761?\nAnswer: 18761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 m when four letters picked without replacement from {c: 7, m: 2}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4 - 7)*(-r**3 + 9*r - 9*r) - r**3 + 5*r**3 + 2*r**3)*(-4*r + 2*r + r).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047 greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -264, -521, -778, -1035?\n\"Answer: -257*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - (15 - (36 + 3) - -13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-10) - (-3)\/(-6). Let q be 1\/(-3*m\/6). Factor -2\/5*v + 2\/5*v**3 - 2\/5 + q*v**2.\nAnswer: 2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let h(c) = -7*c**2 - 5. Let b = -2 - 1. Let s(t) = 3*t**2 + 3. Let a(f) = b*h(f) - 5*s(f). Give z(a(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvthk. What is prob of sequence nkh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 864*y**2 - 47024*y - 90624 = 0. Calculate y.\nAnswer: -118, -96, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011279 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 2*l**5 - 2*l**4 + (7*l**2 - 2*l**2 - 3*l**2)*(6*l**2 - 17 + 17)*(-l - l + l).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**2 - 19*r + 630. Let d be (-44)\/(-12)*3 + -3. Let u(n) = -4*n**2 + 7*n - 210. Let p(g) = d*u(g) + 3*h(g). What is the tens digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 1, h: 3}. Give prob of picking 1 v and 3 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 351471754 and 355089.\nAnswer: 351826843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from eehif.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8132 - -8135. What is the closest to 0.2 in -2, -2\/5, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 2 - 6*o**3 + 8*o**3 + o to f*o**3 + c*o + q*o**2 + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5499 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 14*h**2 + 23*h - 80. What is the smallest common multiple of 175 and o(13)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864182.\nAnswer: 2, 11, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 2177 = 5*g - 2530, 4*l - 3*g = 99 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4735.189 micrograms?\nAnswer: 0.000000004735189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + -1.7. What is the nearest to d in 3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2)*(-5)\/10. Let b(q) be the second derivative of 1\/20*q**5 - 2*q**2 + 0 + 1\/6*q**3 + 1\/12*q**4 - 9*q. Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13068014, 26136073, 39204136, 52272203, 65340274?\nAnswer: 78408349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - y = 562, -4*q = -6*y + y + 467. Let n = 245 + q. Let u = 71 + n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 - -56. Let d = b + 971\/17. Sort 0.3, 2, 0, d in decreasing order.\nAnswer: 2, 0.3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 76 + 2 = -2*v, 4*v - 213 = -5*o. Let u = v + -42. Solve -4*i - u = -5*a, -2*a - 2 = 4*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*l - 24, a - 3 - 5 = 2*l. Let s be 7\/2 - a\/16. Factor -2*k**s + 3 - 7*k - 3 + 3*k + 6*k**2.\nAnswer: -2*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 divided by -6?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*h**2 - 54*h**2 - 10*h**3 - 16*h + 27*h + (-h**2 - 3*h**2 + 2*h**2)*(-9*h + 3*h - h).\nAnswer: 4*h**3 - h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let k = 17.4 - 17.6. Which is the nearest to q? (a) 2 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 26. Suppose 25*i = 21*i + m. Suppose -i*d = -d. Solve d*u = -u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0273 + -79.8773. Let l = -82 - z. Let d = 1.8 + l. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10920257*o - 8206298?\nAnswer: -10920257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 2 - 1 - 4 + 4 in the form x*c + b*c**3 + t*c**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109809 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6322 divided by -2.\nAnswer: -3161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137, -1448, -4977, -11822, -23081?\n\"Answer: -183*g**3 - 11*g**2 + 3*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 171 = -123. Suppose -3*a - c = -2*a + 5, 0 = 2*a + 4*c + 4. Put a, -4, -2, k in descending order.\nAnswer: k, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108193067?\nAnswer: 108193067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (365\/20)\/(1\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*z + 4*c + 18, -2*z + 3*c = -16. List the prime factors of 0 + 64 + (z - 12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04339 and -2?\nAnswer: -0.08678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -10.1. Let p = 1.08 - 0.78. What is the smallest value in -0.2, 0.5, p, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 786617?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (2 - 8) - -15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223\/339870 + -460889657\/1946095620. Let g = -1\/1636 + j. What is the common denominator of g and 29\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.492271 decades to centuries.\nAnswer: 0.0492271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3417886126\/592893 + 122\/84699. Let g = 5766 - o. Find the common denominator of (-1 - -6) + -11 + (-580)\/(-90) and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1386)\/4)\/9*37\/((-4144)\/(-96))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*11*7920\/(-5808).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*m**3 + m**2 + 85*m wrt m?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k - 45. Calculate the smallest common multiple of 15 and v(7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 39. Let r be 1\/y + ((-385)\/60)\/7. Let d be (-1)\/3*3\/(-4). What is the closest to d in -3\/5, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-44))\/((2\/(-8))\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133214 + 57371. Let v = k + 75908.082. Let o = -65 + v. What is o rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -f, 0 + 16 = 4*d - 5*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -11. Let r = z - 5. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -29.8. Let o = 7 + z. Let g = 0.5 + o. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 580350\/(-21200) - 5\/8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 - 591*n + 2359. Let g(m) = m**2 + 2*m - 1. Let y(k) = f(k) + 6*g(k). Differentiate y(s) wrt s.\nAnswer: 2*s - 579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19.196979 months?\nAnswer: 0.159974825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16332 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 429998657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1576\/47 in -0.3, 2, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.59. Which is the smallest value? (a) 2\/9 (b) 2\/5 (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.61 - -42. Let a = g - -0.05. Let h = a - -0.32. Round h to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 12}. What is prob of sequence hh?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 3*v = 0, 4*v + 20 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20338.25ml in litres?\nAnswer: 20.33825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -102, -9\/10, -39\/11?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-24))\/(20\/75)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-2*z**2 + 0 + 0) + 3*z**2 - 3*z**2 - 12*z**2 - z**2 - z**2 + 0*z**2 + (-2 + 2*z + 2)*(-z - 3 + 3) to y*z + o + h*z**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 9. Let t be a(-9). Let p = 0 - t. Suppose p = 5*k - 2*k. Solve 2 = 2*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-808*f - 119540 + 119540)*(6 - 2 - 3).\nAnswer: -808*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 614250057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(1\/3)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j + 2. Suppose 2*y = -4*c + 4*y + 4, 0 = -2*c + 2*y - 2. Let l(m) = 4 + c - 10 + m**2 - m. Give -2*l(s) - 3*w(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 2332512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - h - 3*h)*((h**2 - h**2 - h**2)*(-h + 2*h - 3*h) + 2*h**3 + 4*h**3 - 4*h**3 + 6*h**3 - h + h) as p*h**2 + k*h**3 + l*h**4 + q*h + o and give l.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1118, -1115, -1112, -1109, -1106, -1103?\n\"Answer: 3*n - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.64 + -201. Let u = o + 0.36. Which is the closest to 1? (a) u (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/(-21) + (-2)\/(-7). Let u = 1 + k. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + 18. What is the remainder when k is divided by (-324)\/(-189)*14\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/210 - 2*k**4\/21 + 16*k**3\/21 + 53*k**2. What is f in j(f) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 8*r - 75. Calculate the remainder when (-5)\/(-30)*3 - (-115)\/2 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -21.4. What is the closest to 2 in 0.4, w, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9617 times -272.6\nAnswer: -807.35942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = 2*t. Let x be -4*(-4 - 1734\/24). Suppose i - 5*u - 79 = t, x = 5*i - 3*u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 492893080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400484.\nAnswer: 2, 571, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-195))\/((10\/(-8))\/((-1485)\/198))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8225685.\nAnswer: -8225685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16586.4 - -4?\nAnswer: -16582.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10*v + 15*v - 30, 5*v = -5*f + 40. Solve -f*q = -11 - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 66*v**2 - 134*v + 1. Let p be c(2). Calculate the greatest common divisor of 2183 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2. Let j(y) = 365*y**2. Give w(j(z)).\nAnswer: -399675*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -30376 and 1079232.\nAnswer: 1048856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v - 99. Let f(o) = -3*o + 33. Calculate 11*f(c) + 4*h(c).\nAnswer: -5*c - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -76. Suppose -37 = -3*o + 2*z, 6*z - 47 = -5*o + 2*z. Let m = w + o. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442913498?\nAnswer: 2, 221456749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14*((-1881)\/133 + 14). Solve 7 = -4*d + 4*l - 13, -2*l + 14 = p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 1122444?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(4\/15))**(2\/7) assuming h is positive.\nAnswer: h**(68\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-2 + sqrt(19))**2*5 + ((sqrt(114) + (sqrt(114) - (1*sqrt(114)*-1 - sqrt(114))))\/(sqrt(150)*1))**2.\nAnswer: -16871\/25 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3 + 3 + (-z + 2 - 2)*(0*z + 2*z - 3*z) + 42*z**2 + 3*z**2 - 9*z**2)*(2*z - z + 2*z).\nAnswer: 114*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14023 and 306232.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -380, -1, 3 in ascending order.\nAnswer: -380, -5, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4 and -45\/14038148?\nAnswer: 14038148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r**5 - 17*r + 19*r + 9*r**5)*(11 - 14 + 10).\nAnswer: 133*r**5 + 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*l**3 - 180*l**2 - l.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*i + 5*t, -5*i = 2*t + 14 + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/91*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(27\/2)*n)\/n**(-3\/17) assuming n is positive.\nAnswer: n**(-351\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*-130.848\nAnswer: -654.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 1. Let c be r(-3). Let w = 11 - c. Suppose -u + 175 = w*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2348 + 2585. Is s equal to -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = -4*w + 7796, 2*w + l = 3898. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 10. Calculate the common denominator of ((-41)\/30)\/(2\/(-6)) and (2\/(-6))\/(i\/135).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-171))\/((-2)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - z - 1. Let j(g) = 8*g**3 + 13*g**2 - 5*g - 4. Calculate j(a) - 5*n(a).\nAnswer: 3*a**3 + 8*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 2*k. Let d be ((-32)\/12)\/((-2)\/k). Let t(x) = 3*x**2 - 8*x. Let l(n) = n**2 - 3*n. Calculate d*l(q) - 3*t(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 266. Let p(r) = -8*r**2. Give f(p(s)).\nAnswer: 128*s**4 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1573*d**2 - 9*d - 3. Let s(v) = 40898*v**2 + 231*v + 77. Give 77*n(p) + 3*s(p).\nAnswer: 1573*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*t**3 - 3*t - 10*t + 6*t + 5*t - 208*t**3.\nAnswer: -661*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 343409604.6 rounded to the nearest one hundred thousand?\nAnswer: 343400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 13 = -10*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 1675907 = -1675697 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 1347, 3027, 5379?\nAnswer: 8403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54836 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000068 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, n: 13}. Give prob of sequence tnt.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 381, 753, 1253?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13 + 12 + 5*s - 36. Let l(a) = 2*a - 5. What is 7*l(u) - 3*r(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/32320 and -1\/16160?\nAnswer: 32320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(((-16)\/6)\/4). Let g(c) = 2 - c**2 + c**l - c + 6 - 2*c**3. Is 3 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-24)*(-1)\/6. Let y(c) = -c**3 + 8*c**2 - 7*c - 1. Let p be (-27)\/(-4) - 2\/(-8). Let k be y(p). Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(180))*-5*-6)**2 + (((1 + sqrt(5) + -3)*4 + 4)*4)**2.\nAnswer: -270512*sqrt(5) + 4074036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 3434 = -2950. Let q = -169 + 185. Calculate the greatest common divisor of q and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 35261136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*6*(sqrt(288) + 2) - (-3 + (sqrt(288) - (4 + (sqrt(288) - sqrt(288)*-2 - sqrt(288)) + sqrt(288)) - sqrt(288))))**2.\nAnswer: -10468 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 28. Let i be j(-13). Let d = i + -12. Is 16 a factor of (1 + -4)*(-16)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516\/6*4480\/96320\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -554 + 569. Let k(n) = -n**2 - n + 5. Let m be k(0). Suppose -4*x - x = a, 0 = 5*p + m*x + 10. Solve -p = -2*j + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 7*h - 21)*(39*h**2 - 7*h**4 - 39*h**2) - 3*h**5 + 0*h**5 + 4*h**5.\nAnswer: -48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 262072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - (-130 - (-32 - -40)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from {i: 1, n: 1, s: 4, d: 1, u: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260*d**5 + 238*d**4 - 2*d**3 + 3*d**2 - 5*d - 5087?\nAnswer: 15600*d**2 + 5712*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-21) - 3\/(-9). Which is the biggest value? (a) 0.1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and 1\/5 - 1\/((-15)\/(-468)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 - 14*h**3 + 6*h**3.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1)*13\/26. Suppose i = -3*o + 129 + 186. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.134096 rounded to two dps?\nAnswer: 256.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((((y\/y**(-15\/2))\/y*y)\/y)\/y)\/y*y)\/y*y*y)\/y**(-16))\/(y**18\/(y*(y*y**(-2\/13))\/y*y)))**(-2\/17) assuming y is positive.\nAnswer: y**(-191\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2028 - 2020 + 659*d + 4048.\nAnswer: 659*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**5\/60 - 7*p**4\/24 - p**3\/3 + p. Let l(g) be the second derivative of v(g). Find the first derivative of l(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 3}. Give prob of sequence xx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l**2 - 4. Let q(c) = -c**3 + 6*c**2 + 9. Determine -2*q(h) - 5*v(h).\nAnswer: -3*h**3 + 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -68*x - 63. Let t = -41 + 41. Suppose n - 5*a = -3 + 2, -4*n - 2*a + 106 = t. What is the remainder when n is divided by c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 - (-7 - (2 - 12)))) + 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/14 - (3699\/(-189) - -19)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4003*j**2 + 2104*j**2 + 1899*j**2 - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.16263 and 0.5.\nAnswer: 0.33737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5138281?\nAnswer: 31, 83, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111818 + 1206786 = 56*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 51*l - 34*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddddswdddwdsdw. What is prob of sequence sw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 - 244*q**3\/3 + 664*q**2 - 8*q - 38. What is the first derivative of y(r) wrt r?\nAnswer: -2*r - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 98, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-12))\/(-6) + 3 + -1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 30 (c) -16 (d) -2\/605 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7 - 7*u - 2 + 0. Suppose -4*x - 2*p + 15675 = 15613, -3*x + 5*p = 77. Determine y(x).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 18 = -5*z - 8*k, 3*k - 14 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401697481 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, j: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92261, 92262, 92263?\nAnswer: 92264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 205444 + 213976. Let z = -10076 + n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 4*f. Suppose 9*n + 6*n + 6 = 9*n. Let x(c) = c**2 - c. Determine n*d(t) - 4*x(t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 110*i - 834. Calculate the remainder when l(10) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*n - 5, -s - 5*n + 31 = s. Solve -s - 13 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 1. Let m = 1031 - 1025. Let x(f) = 7*f + 6. Calculate m*s(a) + x(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + -5*3*sqrt(11) + 3.\nAnswer: -15*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:57 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 2020126.\nAnswer: 2020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*c**2 + 0*c + 0*c + 0*c + 80*c**2.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/(-22)*17\/((-68)\/8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.4, 8 in increasing order.\nAnswer: -2\/5, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5708*i**2 - 9*i + 1475*i**2 - 9 - 9840*i**2 + 3. Let k be v(9). What is k rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 965186048*z**2\/11 + 439360*z\/11 + 50\/11.\nAnswer: 2*(21968*z + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6419 and -0.01536958?\nAnswer: 6418.98463042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 10*u**2 - 4*u + 12. Let c be s(10). Let x be ((-110)\/(-4))\/(c\/22). Let z = -51\/14 + x. Find the common denominator of z and 74\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -0.6. Which is the smallest value? (a) 2\/9 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.07 (c) -514\/31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50232 is divided by 197.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -94*b**2 - 224*b + 1726. Let j be l(8). Is j at most -6082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -603 + 605. Let q(f) = -9*f - 5. Let d(u) = -13*u - 7. Let a(j) = 5*d(j) - 7*q(j). Let g(m) = 7*m + 2. Determine k*g(s) + 6*a(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40815231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 7*m + 27*m = -1955240. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512802 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -461a - -10a?\nAnswer: -4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*c - 126, -4*c + 2*c - 510 = -4*l. Let r = l + -62. What is the remainder when r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001391927 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 33 = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h. Let f(k) = -k. Let l(r) = c(r) - 2*f(r). Let m(z) = 3*z. Give m(l(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**3\/3 - k. Let s(c) be the second derivative of -28*c**3\/3 + c**2\/2 - c - 127. Determine s(i(a)).\nAnswer: 112*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16)**(-1\/35)*(z\/(z**(4\/21)*z))\/(z*z*z\/(z*z*z*z*z**32*z*z)) assuming z is positive.\nAnswer: z**(3607\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41639 and 1.\nAnswer: -41639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 645.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 69*z**2 + 8*z - 8. What is y(1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1957 = -21*y + 10643. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 - (1 - -1). Let s = 27 - 28. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 - 14*o**2 + 9*o - 6. Let z(m) = -m**3 - m**2 + m - 1. Let w be ((-2)\/(-4))\/(3\/36). Let n(t) = w*z(t) - r(t). List the prime factors of n(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10)*(1 - 31). Let y be (1 + -2)*(-8)\/c. Factor 2\/3*w + 0 - y*w**3 + 0*w**2.\nAnswer: -2*w*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -0.4. Let q = 14 + -27. Let z = q + 13. What is the smallest value in z, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(11)*-1))\/(2*sqrt(11)*-6).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:52 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 + 5*l**3 - 1\/12*l**5 + 0*l - 91*l**2 + 25\/24*l**4. Let y(a) = 0. Calculate a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-17 + 6 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose 5*u = c + b*u - 156, -c = 2*u - 150. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 + z - 6. Let y(n) = n**2 - n - 1. Let x(v) = -i(v) - y(v). Calculate the remainder when 25 is divided by x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*n*y*z**2 - 2*n*y*z - 4*n*y + 5*y**3*z + 113*y**3 wrt z.\nAnswer: 32*n*y*z - 2*n*y + 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from xjlxljlflxllffl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309484801 to the power of 1\/2, to the nearest integer?\nAnswer: 17592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 718*v\/9 + 6500.\nAnswer: 2*(v - 234)*(v - 125)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-20)\/36*6\/(-5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18161872 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:36 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 581045 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 21*s**2 + 0*s + 0*s**4 - 17\/210*s**7 + 0 + 0*s**6 + 13\/60*s**5 + 0*s**3. What is the third derivative of u(j) wrt j?\nAnswer: -408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**2 + h - 126. Let m(w) = -2*w**2 + 2*w - 121. Calculate -3*i(r) + 2*m(r).\nAnswer: 20*r**2 + r + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835*r - 12 = -1838*r, 0 = 3*u - 3*r + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -31, 4, -227\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 105 + 55 = 0. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252434 or 93?\nAnswer: 252434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-478\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 3*x**3 + 15*x**3 + 3*x**2.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 + ((-20 - -2) + 12 - -56)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 815579 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 2, 8, -581 in descending order.\nAnswer: 8, 2, -2, -7, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*b + 2*k - 57 + 50, -70*k = 3*b - 265 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/(1\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.027 + -0.473. What is the fourth biggest value in 0.2, j, 1\/7, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**8\/84 - h**6\/10 - 2*h**5\/15 + 22*h**2. Factor d(w).\nAnswer: 4*w**2*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 - 2*h**2 - 5*h - 7. Let b(l) be the first derivative of 3*l**4 - 2*l**3 - 7*l**2 - 20*l + 999. Calculate 5*b(p) - 14*u(p).\nAnswer: 4*p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (18 + -10 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 330.2.\nAnswer: -323.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183.005 - 0.525. Let a = m - -0.52. Is a less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*-0.4.\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 63359653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.156 + 91.844. Let l = r - 68.5. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-48)*16\/(-15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13039411 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517 - 515. Calculate the remainder when 41 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*v + 10. Suppose -v = -7*u + 6*u. Let c = u + -18. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 19 = -19 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.3 (c) -2\/11 (d) -3 (e) 2.103 (f) -11\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24339, -24337, -24323, -24291, -24235, -24149, -24027?\n\"Answer: m**3 - 5*m - 24335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.797582 millennia?\nAnswer: 179.7582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 11*h - 316. What is v(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 1379075*s.\nAnswer: -5*s*(s - 275815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-64)*((6 - 304\/19) + 2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18139 - -3258. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + 4\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031032.297 rounded to the nearest ten thousand?\nAnswer: -4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 89 + 89 = 688 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 2. Let g = -44 + 42. Let n be x(g). Solve m - 5*m - 16 = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.278 + -3.278. Which is the third biggest value? (a) -0.33 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/50 and 89\/66.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*m - 25. Is (38\/m)\/(1\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306289270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c + 1 - 5 + 3. Give z(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2 (c) -2\/57 (d) 0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/2 of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {i: 2, p: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 14*i - 18. Let s(f) = i*f - 81 + 81. Let r(x) = 0*x + 3*x - 4*x. Calculate r(s(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t\/(t*t**(-25))))**(-1\/10)*(t\/(t\/(t\/t**(-33))*t))**(-2\/7))**(-18) assuming t is positive.\nAnswer: t**(4554\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04151 and 354914.43.\nAnswer: 354914.47151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4 + 44\/(-12)). Suppose -m + 2*m - 12 = 0. Let v = h + m. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/60*-6)\/(-31*8\/(-496)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 34. Suppose 77*k = i*k - 7940. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45316495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-164)\/72)*(-4)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -1. Let k = -17 + l. Suppose 24 = -2*n + 8*n. Solve -18 = -n*o - k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -3, -0.04, -0.1, 5\/66?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -2531?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - -1. Suppose -34 = -2*g + r. Suppose 2*f + 0*f = 24. What is the remainder when g is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 2*r**4 + 0*r**3 + (4*r**3 - 3*r**3 + r**3)*(-r - 4*r + 6*r) + 3*r**3 + 2*r**4 - 3*r**3 + r - 2 - r - 80616*r**4 + 86438*r**4.\nAnswer: 5828*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - 1cc2?\nAnswer: -1cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8449371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(-h + h + h**2) + 1 + 12*h**2 + 2*h**2 - h**3 - h**3.\nAnswer: -4*h**3 + 14*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = 14*f - 4*f. Solve -4*l - 5*l - 36 = f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -13.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -0.9. Let v = 6 + -13. Let h be (-1)\/(-7) - (-2)\/v. What is the second biggest value in d, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 75 = 5*w, 4*s = 4*w + 55 + 45. Let m = 35 - s. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.3. What is the smallest value in 0, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**12*s*s))\/s*s*s\/(s\/(s\/(s\/((s**(2\/5)\/s*s)\/s))))*(s**(-3))**(-2\/91) assuming s is positive.\nAnswer: s**(-6158\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32294 + -32293. Let r(f) be the first derivative of 5*f**3\/3 + f**2\/2 - f + 1. Give r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4847, -712, -5, 4 in decreasing order.\nAnswer: 4, -5, -712, -4847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = -0. Which is the second smallest value? (a) 5 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 19. Let g = x + 60. Let b = 646 + -441. Calculate the remainder when b is divided by g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 38*r**3 - 152*r**2 + 24*r + 36. Let o(d) = -2*d**3 + 7*d - 2. Let s(h) = -36*o(h) - 2*t(h). Find l such that s(l) = 0.\nAnswer: 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) + 14\/(-35). Suppose 16 = 4*x - j*x, 0 = -a - x + 17. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/24 + 2*f**2 + 35*f - 40. Let u(b) = -2*b + 1 - 2*b - 3*b. Determine i(u(r)).\nAnswer: -7*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3\/(3\/(-24)*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30438 by -9.\nAnswer: -3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/7 - 78*g\/7 + 216\/7 = 0.\nAnswer: 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o - 3. Let x be h(-2). Suppose 2*v - 4*v - x*s + 22 = 0, 0 = -v - 5*s + 4. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/99848 and -21\/44.\nAnswer: 1098328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2205749805 to the nearest integer?\nAnswer: 46965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -143*b + 862 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1, 938, 33 in decreasing order.\nAnswer: 938, 33, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - -7) + 7 + -8) - (106 - 115).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110735 divided by -22147?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606\/1073 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 95*x - 102*x + 95*x as d + t*x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 - 138. Let h be 5\/p + (-38 - -124). Calculate the greatest common factor of h and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 8448*p - 8448*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-21)\/(-70))\/(79\/1896)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*-2*2. Let 4\/3*l**2 - r*l**3 + 2\/3*l + 0 = 0. Calculate l.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {i: 3, h: 3, s: 2, n: 1, c: 2, v: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - -42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1.34, 222, 7?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.5 - -33. Which is the smallest value? (a) -8 (b) -1 (c) l (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -26*r**3 + r**2 + 15*r + 14. Give m(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - 3*s - 3. Let p = 177 + -181. What is the remainder when n(p) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 226 = 13*m - 357. What is the remainder when 2172 is divided by m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40550, 162210, 364978, 648854?\nAnswer: 1013838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 1\/(-2). Suppose j = -l + 3. Suppose l*m - 7*m = -255. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3 + (0 + 4 - 2)*(1 - 1 - 2))*(-3 + 2 + 5)*(101*u - 33*u - 42*u).\nAnswer: -624*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7280 and 8.2.\nAnswer: -7271.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 equal to 10\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 1, -1573?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, -4 in descending order.\nAnswer: 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/6 + 13*t**2 + 866*t. What is v(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6771*y**4 + 4006*y + 5071540 wrt y.\nAnswer: -27084*y**3 + 4006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/7 (b) 1 (c) 0.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 z when four letters picked without replacement from {r: 3, z: 3, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118 + 25*y + 110 - 303 wrt y?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.7644 to 1 decimal place.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 3*f**2 + 4*f + 2. Let s be z(-2). Let r = -7 - s. Suppose -4*b + 4*x + 32 = b, 2*b - r*x - 17 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9058155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 16\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07797926 to 4 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5074602 + -4?\nAnswer: -5074606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1423*g + 304*g - 383*g - 1636 - 124 wrt g?\nAnswer: -1502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, 0.1, -1, -3, 0 in descending order.\nAnswer: 7\/2, 0.1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.722 + 0.278. Suppose 3*q + q = 8. Sort -2\/27, -2\/15, r, q.\nAnswer: -2\/15, -2\/27, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18343450 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.2, 3\/14, -0.069 in descending order.\nAnswer: 26.2, 3\/14, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((7 + 0)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvyo. Give prob of sequence vq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 912.41499700244 + -0.00990370244. Let l = -746.405124 + n. Let b = 166 - l. Round b to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 5*v)*(-5 - 18 - 29)*(5 - 2 + 5).\nAnswer: -1664*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261 + 13312\/51. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5178*z - 3050*z - 1475*z as g*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.575525 - 4.\nAnswer: -9.575525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 256 = -4*u - 4*g, 2*g + 248 = u. Find the common denominator of 11\/3 and -2 - (u\/28)\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - -219?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 13*h**3 + 35*h**3 - 13*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 34*h**2 - 1190*h + 3236. What is s(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hedziiy. What is prob of sequence yzd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/7, 3, -5, 1\/5, 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.45 - 0.45026. Round j to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 80. Let s(q) = q. What is s(x(f))?\nAnswer: -3*f**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 4306*w + 23785 = 146631 + 43606 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -44. Suppose t = -x + 47 + 102. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4972 divided by -4\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 638774220 a multiple of 4970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1046, -2143, -3252, -4379, -5530, -6711?\nAnswer: -7928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 17 = k. Suppose -2*a - 5*g = -0*g - k, 9 = a - g. Let w(y) = -y**2 + a*y - 8*y. Let o(h) = -h. Give o(w(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2 - 6*b - 4. Calculate n(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {r: 6, e: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 208*h + 622. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (711527035\/(-2546250))\/(-31) - 8. Let n = 2\/36375 + f. What is the common denominator of -151\/6 and n?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-6\/5)*a)\/a)**(4\/3)\/(a*a*a\/a**(-32\/5)*a*a)**36)**(9\/13) assuming a is positive.\nAnswer: a**(-3696\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-30))\/(28\/(-12) + 2). Suppose -y*a - 3960 = -5*z - 7*a, 4*z - 5*a - 3132 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**3\/27 - 2*l**2\/9 + 16. Let b(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.383 - 30.37. Which is smaller: 23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*x**2 + 187*x - 187*x + (1 - 2*x - 1)*(-2 - 2*x + 2) + 3*x - 3*x + 2*x**2 + 0*x**2 - x**2 - x**2 + 4*x**2 + 4*x**2 - 6*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/5 + (-29 - -30). Solve h = -9*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 5*p + 8. Let k be r(-6). Suppose 2*l + 50 = 5*m, -4*l = -m + k*m - 32. Calculate the greatest common factor of 84 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292 divided by 146.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 133262480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 268641045 a multiple of 4381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 2120?\nAnswer: 248040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-6)\/c*c*c)))\/(c*c*c**(-9)))**(-6\/17) assuming c is positive.\nAnswer: c**(-12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9186 + 10712. What is the remainder when n is divided by 170?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -2 (c) -2\/13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1605*b + 1605*b - 35*b**4 + (-3*b - 4*b**2 + 3*b)*(2*b**2 - b - 2 + b).\nAnswer: -43*b**4 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334332 (base 12) to base 5.\nAnswer: -202103321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7435147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = 23*p + 2*g + 3*g, 0 = -4*g - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 16. Suppose -c*o - 10 = -o. What is the units digit of (-1)\/(o\/4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474631.9kg in grams?\nAnswer: 474631900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b - 7*b - 9*b - 8*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4493 = 18*s - 4457 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9241*z + 10 = 9246*z + 5*d, -2 = -z - 5*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5686*h**4 - 53*h**3 + 27329995*h**2 wrt h.\nAnswer: 136464*h - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 8. Suppose -4*t = -3*t + 6. Let s be w(t). Which is the second biggest value? (a) s (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x - 101. Let t be h(-11). What is the nearest to -2\/93 in -4, -2\/3, t, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 26 = 4*q, -4*q - 5*l + 3 + 2 = 0. Suppose q*z - 160 = -5*g, -g + 2*z + 25 = -22. Calculate the remainder when 108 is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 - 5112*w + 281880 = 0.\nAnswer: -2610, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-10 + 64) - (-150)\/25.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 + 17454*n - 7056909\/2 = 0. What is n?\nAnswer: -35109, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/(-12)*132\/(-8). Calculate the highest common divisor of r and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 430 in descending order.\nAnswer: 430, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 15907*o**3\/4 + 47727*o**2\/4 + 47729*o\/4 + 7955\/2.\nAnswer: -(o - 15910)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.011 and 0.58.\nAnswer: -0.00638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167286.119 - -167364. Let m = n - -0.119. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 6. Suppose f = 5*j - 12. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534383601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 0*j**2 - 7 - 2*j**3 - 2*j**2 as v*j**3 + m*j**2 + a + p*j and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1180440 and 18360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8436*t**2 + t**4 - 8432*t**2 + 3 + t**3 + 0*t**4 - 2*t as g*t**3 + r + o*t + p*t**4 + n*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 349726 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: Four letters picked without replacement from {f: 1, w: 1, g: 2, m: 2, v: 1}. Give prob of picking 1 w and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 750089, 1500157, 2250225?\n\"Answer: 750068*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058)*-2)\/(4*sqrt(18)\/sqrt(3)).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 318355224 - 318355224.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 84912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let h = 4468 - 4464. Solve 5*s - t = h*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6965*u**2 + 2*u + 4*u**3 - 1 - 2575*u**2 - 5*u**3.\nAnswer: -u**3 - 9540*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1647*s + 190*s + 497*s - 189*s.\nAnswer: 2145*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15, -2*s + 2*i + 23 = -63. Suppose 2*b + 6 = s. Calculate the remainder when 61 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -96*n**2 + 506*n + 200. Give o(4).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - s)*(117 - 103 - 42 - 106 - 96 + (-2 + 5 - 5)*(1 + 1 - 4) - 1 + 1 - 2).\nAnswer: 228*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 6*g - 40 = 0, 0 = o + 18*g - 22*g + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 10*t + 532 = 28*m - 10, 0 = -3*m - 5*t - 269 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - 3*m**2 - m + 2. Calculate x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1640263 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(-8*6\/(-288)). Suppose -3*z + 191 = 4*d, -z + o*d + 57 = d. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Suppose 4*x = 8*x + 4*g - 16, 10 = x + 4*g. Let i(y) be the second derivative of 0*y**x - y + 0 + 4\/3*y**3. Calculate i(v(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-10) + 2\/10. Suppose 0 = -u*b + 20 - 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44739 - 941?\nAnswer: -45680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-572))\/((-4)\/638).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*k + 263 + 787 + 811*k - 2*k**2 - 3*k**2 + 476*k.\nAnswer: -5*(k - 210)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 39*s**3 - s**2 - 36*s + 48. What is the second derivative of k(t) wrt t?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47310319*b*n**2 - 16*b*n + 29975425*b wrt n?\nAnswer: 94620638*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.12 - -33.02. What is the nearest to 3\/326 in z, 0.5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4056 + 64035?\nAnswer: 70113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 4 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(605) - sqrt(605)*2) + sqrt(605) + (sqrt(605)*-1*-3 - sqrt(605)))**2 + ((2*sqrt(150))\/sqrt(3))\/(sqrt(1210)*1 + sqrt(10)).\nAnswer: -1055*sqrt(5)\/6 + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 28*o. Let s(n) = -3*n + 26141. Give m(s(q)).\nAnswer: -84*q + 731948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let a be (-2)\/(-7) - 132\/(-77). Let t(n) be the first derivative of 2 + 0*n**a + 2\/3*n**3 + 0*n. What is k(t(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + m + 105 + 783, 2*o = -4*m + 364. What is the greatest common factor of 89 and o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 10 = 0. Suppose -4*v + 3*v = d - 68, -k*v = -10. What is the highest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - (188 - (-17 + 65)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5338, -10727, -16106, -21469, -26810, -32123, -37402, -42641?\n\"Answer: y**3 - y**2 - 5393*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58053 and 5069.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:16 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 44. Let r be t(-10). What is the lowest common multiple of 1 and 793\/52 + r\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/5)\/(702910\/(-78100) - -9)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-6))\/((-10)\/(-6)). Let n be (356\/(-144) - -2) + 4\/16. Which is the biggest value? (a) -2 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065432 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17045133*v**4 + 5033485 wrt v.\nAnswer: -68180532*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 2*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00397968046 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -120. Let z(x) = x - 8. Let j be z(10). Suppose j*u + 5 = 25. Calculate the greatest common divisor of u and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 46907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*z + 2*i, 3*z = -2*z + 2*i + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 - (-4)\/5. Let t be 14\/6 + 4\/6. What is the derivative of -n**4 + x + 0 + t*n - 3*n wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33116640?\nAnswer: 2, 3, 5, 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10728*c = 10718*c + 70 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-9 - (-15 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 22*c**2 + 29 - 16*c - 42 + 6*c**2. Let w be t(-15). What is the third derivative of -2*d**2 + 2*d**2 - 2*d**w + 8*d**2 + d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) -4866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:56 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6193, 24759, 55703, 99025?\nAnswer: 154725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2, 5\/7, 7, 3\/2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00094694 to 6 decimal places.\nAnswer: 0.000947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -2.59. Let d = 1.542 + y. Let k = d - 0.042. Which is the closest to -1? (a) 3\/2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3, 28 = 5*y + t + 52 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c - 2\/5*c**5 + 0*c**3 - 1\/2*c**2 - 1 + 0*c**4. What is the second derivative of s(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**3 + 1. Let m(v) = 2*v**2 + 14776 - 7386 - 7390. What is m(f(q))?\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -118, -100, -84, -76, -82?\n\"Answer: -y**3 + 5*y**2 + 10*y - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43379 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -508 - -721. Calculate the common denominator of -7\/5 and (-23)\/(-4)*(-284)\/l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2\/21, 3\/5, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23. Let o(i) = -8*i**2 - 3*i - 5. Let k(s) = -7*s**2 - 2*s - 4. Let b(c) = 4*k(c) - 3*o(c). Let d(y) = -3*y**2 + y. Give m*d(l) - 2*b(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4533, -4424, -4287, -4122?\nAnswer: -3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2*-2*(sqrt(6300) + sqrt(6300) + 2*sqrt(6300)))*1)**2.\nAnswer: 2880*sqrt(7) + 1612809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 - v + (1 - 2 - 1)*(2*v + 3*v + v) + (4*v - 4*v - 3*v)*(-1 - 1 - 1).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 - s + 2. Let g be x(2). Let k = g + -12. Let v(j) = 11*j**2 - 185*j - 24. Calculate the lowest common multiple of k and v(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4)*16\/12. Let j(x) be the first derivative of 2*x**4 + 11*x**3\/3 + 5*x**2\/2 + x + 1. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5834780?\nAnswer: 2, 5, 7, 71, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/8 - 11341*j\/8 = 0.\nAnswer: -11341, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 143, -45, 2, 0, -3 in ascending order.\nAnswer: -45, -3, -0.3, 0, 2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 106, 148, 188?\n\"Answer: -i**2 + 47*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/19400 and 62\/7275.\nAnswer: 58200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7*i + 6*i = 2*i. Factor i + 3\/8*t**2 - 3\/4*t.\nAnswer: 3*t*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81954 is divided by 1386.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29901239601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l + 8 + 7*l + 7*l + 1 - 19*l in the form g*l + a and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, -2 in descending order.\nAnswer: 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31698 is divided by 1697.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 4. Let t be j - (195\/12)\/(-5). Let c(x) = -x - 7. Let g be c(-7). Is g <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 9) in base 2?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 1083 + 1063 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 0. Suppose -5*b - 25 = -r*p - 3*p, 3*b + 26 = 4*p. Find the third derivative of 3*m**5 + 4*m**2 + m**p - 7*m**2 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 19) + -7 + 42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284235335?\nAnswer: 5, 107, 531281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 3. Let c be t(-3). Suppose 0*m - 6*m + 60 = 0. Let w = m + c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1522016 + 5?\nAnswer: 1522024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 2.891.\nAnswer: 3.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 14*t + 48. Let a = -8 + 0. Let o be i(a). Let s = 11 - 10.2. Is s bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = b - 4*b + 22, -4*y + 18 = b. Suppose 4508 = y*u - 8408. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.456470837 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 26*f - 738. What is the units digit of s(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727283399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g + 1. Let p(v) = 8*v + 1. Suppose 0 = -3*f - 6 + 27. Let q be f + (1 - 5)\/4. Give q*p(a) - 5*k(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - p + p - p to n + h*p**2 + d*p and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/31)*g)\/(g*g*g**2\/g)*g**8\/((g*g**(4\/5)*g)\/g*g) assuming g is positive.\nAnswer: g**(641\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 3*g + 4*g + (-3 - 1 + 1)*(23*g + 19*g - 157*g) in the form z + q*g and give q.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*b*l**2 - 1518*a**3*b*l - 695*a**3*b + 4*a**2*b*l**2 - 5*a**2*b - 2*a**2*l**2 - 12164*a*b*l + 2*a*l**2 + 2*l**2 - 1 wrt a?\nAnswer: 12*b*l**2 - 9108*b*l - 4170*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:02 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*m, -290*f = m - 288*f + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -56*a**3 - 2*a + 1 - 23*a**2 + 22*a**2 - 3. Does 11 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/13882710 and 74\/8313.\nAnswer: 13882710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 - 857207*y. Let u(m) = -17*m. What is u(r(o))?\nAnswer: -136*o**2 + 14572519*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.2 and -5.06144.\nAnswer: 16.196608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*q = 507, q + 0*q - 629 = 5*n. Let s = -123 - n. Which is the third smallest value? (a) -1 (b) s (c) -0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7256 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + r + 24, -j - 2*r - 41 + 29 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27787283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-11781) - 127870\/2907\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457931 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p - 5. Let a(m) = -m**2. What is f(a(j))?\nAnswer: -7*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 485419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-10) + (24 - 23). What is the nearest to 0 in -1\/6, -0.4, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 2*v**5\/15 - v**3\/6 - 5*v**2 + 24*v - 1. Let c(i) = 7*i**2. Give c(b(w)).\nAnswer: 448*w**4 - 112*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - -10) + -63 - -60?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 2:39 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 849016.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -72.7. Let j = 5.57 - s. What is j rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(171) + (sqrt(171) - (0 + 0 + sqrt(171))) - (sqrt(171) + 3 + 2)))**2.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -0*q, 3*q = i + 5. Let b(v) = -6*v + 36. Let g(o) = -o. Let r(y) = i*g(y) - b(y). Is 5 a factor of r(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-5*s + s + 5*s)*(-s - s + 5*s)*(1 - 1 - 8*s**3).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c. Suppose 4*i + 6 = -2*i. Let b(s) = -4*s**2 - 30*s - 128. Let k(u) = i*b(u) - 2*j(u). Factor k(y).\nAnswer: 2*(y + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(11) - (sqrt(11) + sqrt(11) + 3 + 5) - 6*(sqrt(891) + sqrt(11))**2) + 3).\nAnswer: -6605 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + (-9)\/((-18)\/6). What are the prime factors of ((-7)\/(-3) + s)*9\/1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20724 - 20717. Let l(n) = 10*n**3 + 9*n. Let o(i) = -3*i**3 - 3*i. Determine k*o(x) + 2*l(x).\nAnswer: -x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2. Let y(d) be the second derivative of d**4\/3 - 4*d. What is o(y(f))?\nAnswer: 128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 + 33*h + 634. Determine p(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s - 3. What is the units digit of y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10450?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53208567757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 5291036*s**2 - 25*s + 14*s.\nAnswer: 5291036*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 3*q + 18 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j + 138*j - 9 = -4*k, -4*k - 3*j + 59 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**33\/l)\/(l*l\/(l*l**15)))**(-1) assuming l is positive.\nAnswer: l**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, -856, -15, -0.079?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8543, -8112, -7683, -7256, -6831?\nAnswer: -6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 4*m**2 - m - 6. Let h be r(-5). What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/15 + 104*u**2\/5 - 4158*u\/5 + 23716\/15.\nAnswer: -2*(u - 77)**2*(u - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 2\/5, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0679 times -0.25\nAnswer: 0.016975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 63356460 to the nearest 1000000.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554*x**3 - 555*x**3 + 0*x**2 + x**2 + 0*x**2.\nAnswer: -x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76613664971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -6 (c) 1 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -213. Calculate the remainder when c is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -34. Is 25 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 13*y - 20114 = 4*p, p = -2*y + 20079. Calculate the highest common divisor of y and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 97166\nAnswer: 60\/48583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 + 50 - 50 + 4*t as j*t + x*t**3 + z*t**2 + w and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*c, -2*i + 4*c = -6*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*f - 229 + 442 - 241, k - 15*f - 22 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b - 296. Let y be f(19). Let j be (y - -9) + -1 + 6. Solve -2*s + j*a + 23 - 7 = 0, 0 = -5*s + 2*a + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 32, 37, 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 85 = 0. Suppose 0 = -5*l - 25, -2*l = -2*i + n + 31. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**4 + 14*o**3 + 36*o**2 + 38*o + 18. Let b be -1*(0\/(-3) - 1). Let u(f) = -f**4 + f - 1. Let m(y) = b*l(y) + 2*u(y). Find n, given that m(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-74)\/4)\/((-3)\/30)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.8 - -7. Let q = k - 0.7. Let a = 77\/3 + -27. What is the smallest value in a, 5, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 56*r**2 + 13*r - 66. List the prime factors of i(13).\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 207421 = -8*a - u, -82982 = -2*a + 3*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5508*3.\nAnswer: 16524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v - 3. Calculate j(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287922 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2, u: 4, e: 2}. Give prob of sequence uu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*f + 1710 = 830*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*l + 1922*l + 0 + 0 as w*l + y and give w.\nAnswer: 2366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 2. Let h(w) = 4*w + 3. Let i be (-1323)\/(-261) + 14\/(-203). Calculate i*h(p) + 7*n(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4271357, 8542709, 12814053, 17085383, 21356693, 25627977, 29899229?\n\"Answer: -p**3 + 2*p**2 + 4271353*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 28*h - 22. Let d be w(18). Let c = 2324 + d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5264, 5278, 5298, 5324, 5356, 5394, 5438?\nAnswer: 5488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose -3*j = -0*j - a. Suppose j = 2*v - 1. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 35 + 35 - 110 + 39. Let v = -5 + 5. Calculate m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -3102 + 3101.92. Let x = 15 + -14.52. Let i = u + x. Which is the nearest to -10? (a) -5 (b) -2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-6)*(-7)\/((-77)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-91)\/(-14))\/(-13)*(-10 - -2). What is the third biggest value in u, -1.22, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/12 - (2604\/(-360))\/(-31). Sort x, -1, -7, 0, 1\/7 in descending order.\nAnswer: 1\/7, 0, x, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * -0.8.\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**5*y**2 + 33*o**2*y**3 - 17*o*y - 2*y**3 - 2*y**2 wrt o.\nAnswer: -80*o**3*y**2 + 66*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -295 + 1883. What are the prime factors of f?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + -2)\/(2\/10). Which is smaller: l or -48?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25514 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2)*(0 - 5\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -6, 494, -5, 0.2 in decreasing order.\nAnswer: 494, 3, 0.2, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120201 + -1?\nAnswer: -120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/7 - (-72)\/168. Suppose -m + 5*u = -45, -54 = -3*m - o*u + 30. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -4, -10, 29, -3 in decreasing order.\nAnswer: 29, 1, -3, -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 82\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*z - 525*a + 2093*z wrt z.\nAnswer: -3*a + 2093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12386 and 484.\nAnswer: 272492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = 4*r, 5*r + 41 = d + 14. Put 5, 0, r in descending order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + -2 - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(1\/2)\/f)\/f)**(-46)\/(f*((f**(2\/7)*f)\/f)\/f*(f*f*(f*f**(-2\/9)\/f*f)\/f)\/f))**(17\/2) assuming f is positive.\nAnswer: f**(11747\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a + 191. Calculate b(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/15 + 332668*c\/15 + 354880.\nAnswer: -2*(c - 166350)*(c + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.3.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - c - 5. Let l(r) = r**3 + r + 4. Determine -3*l(f) - 2*m(f).\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9983 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 46 = -3*a. Calculate the least common multiple of 21 and (-24)\/(-42) - 146\/a.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - v**3 + 0*v**3 + (-10 + 3*v + 10)*(4*v - 4*v**2 - 4*v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let r = 5 - 7. Let z(m) = -4255. Let f(k) = 211. Let o(y) = 121*f(y) + 6*z(y). Give r*o(a) - 2*w(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 200387581 rounded to the nearest one hundred thousand?\nAnswer: 200400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let p be v(2). Suppose 6 + p = 2*b. Solve 0 = 3*k - b - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25303815?\nAnswer: 3, 5, 562307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4147 + 22764. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 + 71*t**3\/3 - 155*t - 70. What is the first derivative of p(f) wrt f?\nAnswer: 3*f**2 + 142*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (6*sqrt(84)*-4 - sqrt(84)) - -4*(sqrt(84) - (sqrt(84) + sqrt(84) + sqrt(84)*-1)))\/(4*(sqrt(108)\/(sqrt(9)*2) + sqrt(144)\/sqrt(192))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*z**6 + 3*z**5 + z**2 - 140*z?\nAnswer: 3240*z**3 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -4\/43, 0.5, 3, -0.2, 0.33?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1109*u + 64. Is v(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 187*b**3\/6 + 1124*b**2\/3 - 406*b.\nAnswer: b*(b - 1)*(b + 14)*(b + 174)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/33)\/(30\/20) - (-1767)\/341. Let g be ((-2)\/(-4) + -1)*-2. Solve p - o*r = g, -r - 3*r = -2*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -43 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2*f**3 + 3*f**3 - 2*f + f**2 + 1. Let v(o) = 3*o**3 - 5*o + 2. Determine -7*a(r) + 3*v(r).\nAnswer: 2*r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -25. Let w = 143410.0061 - 143499. Let l = w - v. What is l rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 + s + 2. Let w be p(2). Let x(c) = c**2 - 3*c - 3. What is the units digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q - 5*q)*(1 - 8 - 2)*(-1 + 0 + 0)*(39 + 35 + 87).\nAnswer: 1449*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -435.\nAnswer: 13\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f**2 + 22\/7*f - 2\/7*f**5 + 12\/7 - 20\/7*f**3 - 12\/7*f**4 = 0. What is f?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 at least as big as 186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117a175 (base 12) to base 11\nAnswer: 1a1063a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h - 40 = -53*h. Let z be ((-4)\/h)\/(-2 + (-45)\/(-25)). Let m(t) be the second derivative of t**4\/12 + t**2\/2 + 4*t. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1445496 = -28*o + 27*o, -o = -5*y + 3613747. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 24*b**4 + 6*b**3 + 96*b**2 + 63*b = 0. What is b?\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3981315 divided by 15613\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 54, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690299911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3437 is divided by 124.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)*(0 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 3*u - 1. Let h be o(4). What is r in -2*r**h + 5*r + r - 4*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2*k**2 + 3 - 3*k**2 + 0*k - 2*k + 4*k - 2*k**4 as n*k**2 + z*k**4 + d*k**3 + u + p*k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -357 - -160. Let r = s - -276. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.24 * 4.\nAnswer: -28.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/6, 4, -1605, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 31\/2*b**2 + 3 + 0*b + 13\/2*b**4 + 0*b**3. Find the second derivative of j(q) wrt q.\nAnswer: 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 - -59c?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -5906.\nAnswer: 10\/2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 9. Let o(g) = 10. Let j(b) = -3*o(b) + 2*s(b). Let v be j(7). Solve -4 = -z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2730 and 42.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47489, -94981, -142473, -189965, -237457, -284949?\n\"Answer: -47492*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 56, 5, 4, 9, -7.\nAnswer: -27, -7, -3, 4, 5, 9, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231011 (base 4) in base 10?\nAnswer: -27461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968662421 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**3 + 3*y**4 + 0*y**4 - 5*y**4 + y**4 + (-3 - 2*y**3 + 3)*(2*y + 2*y - 5*y).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752841929?\nAnswer: 3, 269, 2172047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 4222071.8 and -24.\nAnswer: 4222047.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4*b**2 - 3*b**2)*(-2*b**3 + 0*b**2 + 0*b**2) + b**5 + 0*b**5 - 2*b**5 - b**5 - b**5 + 4*b**5.\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1218919 and 0.1.\nAnswer: 121891.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13430258.55 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 36*s**2 + 107*s + 12. Let y(x) = -x**3 + 39*x**2 + 107*x + 14. Let v(l) = -7*o(l) + 6*y(l). What is the second derivative of v(j) wrt j?\nAnswer: 6*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -56\/1320383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2382 - 2344.97. Let n = g - -2.97. What is the third smallest value in 1\/5, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + r + 10)*(-8*r - 8*r**3 + 8*r) + 170 + 107*r**4 - 170 in the form g*r + c*r**2 + d + j*r**4 + n*r**3 and give j.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08873 + -5.08873. Let p = 2\/11 + -37\/22. Which is the closest to -1? (a) l (b) p (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551551 divided by 1463.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -6912*i**5\/65 - 4896*i**4\/13 - 6936*i**3\/13 - 4913*i**2\/13 - 2*i + 2229. Let w(t) = 0. What is t?\nAnswer: -17\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j + 1 + (3*j + j - 5*j)*(1 - 1 - 1))*(-12*j**2 + 5*j**2 - 17*j**2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j + 2. Suppose 3*l = -5 - 1. Does 18 divide z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + 0 + -1) - 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -198*y - 138. Let p be k(4). Is p smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 + 11.79. Let x = -0.19 + t. What is the closest to 1 in x, -1\/8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-6 - (9 + -22))) + 57?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**3\/2 - 6*u**2 - 8*u. Let y be h(-2). Is ((-100)\/15)\/(y\/162) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + (1 - -4) + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -4*g**7\/21 - 7*g**6\/5 + 79*g**5\/10 - 71*g**4\/6 + 3*g**3 + 8*g**2 - 537*g. Solve k(q) = 0 for q.\nAnswer: -8, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 16, 0.103, 167 in decreasing order.\nAnswer: 167, 16, 0.2, 0.103, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1165148.8 to the nearest ten thousand.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 196. Let j = 539 - g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6612 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17732429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 399722.7 and 25.4586.\nAnswer: 399748.1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84.1 + -23.2. Let s = -61 + a. What is the nearest to 1\/3 in -3, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75326 is divided by 552.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 8*a - 27. Let x(k) = 3*k**2 - 2*k - 2. Let q be x(2). Let l be y(q). Let o = 102 - l. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -306.568 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*x - 168*a**2 + 65*x + 1 wrt a.\nAnswer: 2*a*x - 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 20*v**3 + 4*v + 3. Let s(p) = p**3 + p + 1. Suppose 24 = -4*k + 4*w, -26*w + 30*w = -3*k + 3. What is k*s(l) + a(l)?\nAnswer: 17*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 36*q**2 + 784*q + 1249. Give c(-14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 57 + 3 = 0. Find the common denominator of (1 + (-23)\/b)*2145\/165 and -79\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 259\/6 - 43. Let v = -0.15 - 16.85. Let g = 16.7 + v. Sort g, 4, 0.4, h in increasing order.\nAnswer: g, h, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1083 in 2, -4, 21, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -41\/17, 0.3, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6893 + 6893. What is the nearest to 0.2 in 4\/13, o, -3\/7, 3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 151582058046?\nAnswer: 151582058053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {c: 1, j: 4, d: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r\/((((r*r*r**(-1)*r*r)\/r)\/r)\/r)*r)**29\/((r**(-2\/9)*r\/(r*r*r*r**(-5)))\/(r**(-3)\/(r*r**6\/r*r))) assuming r is positive.\nAnswer: r**(-637\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -31*l + 163. Give i(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -511.2 - -511.3. Suppose -8 = d + 2. Let y = 4 - 7. Which is the closest to r? (a) y (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 17032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -26. Let g be 4\/(-8) - m\/2. Solve -2 = -n - 3*t, -3*n + g = -2*t + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4750410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015 - 662 - 1205 = -95*m - 652 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18*(-108)\/8*-1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/9267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:56 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1552 + -1544. Solve -4*x = 2*m + c, 0 = 6*x - 3*x + 5*m - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1617 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 33 - 77)*(6*t + 2*t + t).\nAnswer: -1620*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 323*f**2 - 164 + 54 + 51.\nAnswer: -323*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/154*(-550)\/300. Which is the nearest to 272? (a) -0.2 (b) x (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p - 18. Let b be j(-6). Let q(m) = m**2 - 2*m + 301. What are the prime factors of q(b)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5543184 to the nearest integer?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -109632600 divided by -8475\nAnswer: 12936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*c**2 - 45*c**2 + 6158*c - 6155*c - 7 + 7.\nAnswer: -118*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - f**2 - 4*f - 7. Let t be z(5). Suppose -4*s + 1186 - 558 = 0. Let q = s + t. Round q to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -702, -1408, -2126, -2862, -3622, -4412, -5238, -6106?\n\"Answer: -a**3 - 699*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143051 + 1138929\/8. Let c = a - -684. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10768 and 152.\nAnswer: 204592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -32*t**3 - 2*t**2 + 1. Calculate the remainder when o(-1) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - b + 13, 0*b + 14 = -2*g + 2*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3 - 3 + 4 + 3 - 3 + 2 + 0 - 4 + 2 + 3 + (0 - 3 + 2)*(-2 - 2 + 3) - 1 + 2 - 2)*(-3*c + 8*c + 8*c) in the form t*c + s and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3315 - 3315 + 276*j**3.\nAnswer: 276*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463487077 to the power of 1\/3, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 2476573.3?\nAnswer: -1238286.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + 1 + (-12006)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8596287t in kilograms?\nAnswer: 859.6287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -59*c**4 + 242*c**3 - 318*c**2 + 146*c - 9. Let j(r) = r**4 - 3*r**3 + 2*r**2 + r + 1. Let z(q) = d(q) - j(q). Find s such that z(s) = 0.\nAnswer: 1\/12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v - 3*t + 48, -2*v - 4*t + 40 = 0. Calculate the remainder when 131 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 5*v + 7. What is the units digit of c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 21*k - 1445. Let g be x(-29). Solve -8 = 4*c, -5*a = -g*c - 505 + 475 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3*x**2 - 10*x + 2. Let i be l(7). Let f = i - 11. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155767, 155776, 155795, 155830, 155887, 155972?\nAnswer: 156091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**36)\/(i\/i**(-4\/9)))\/((i**(1\/6)*i*i)\/i*i**(-1\/11)*i) assuming i is positive.\nAnswer: i**(-7627\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - w**2 + 12. Let y be c(0). Suppose 3*s - y = 0, -2*s = -4*n - 0*s. Solve 0 = -n*l + 2 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y. Let o be b(-3). Suppose 0 = 2*f + 8, 3*t - 16 = f - 6. What is the third derivative of -6*i**3 + 4*i**3 - i**o - 5*i**2 - t*i**3 wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000355015649 to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 9*s**2 - 6*s - 1. Let m be (-3 + 1)\/(4\/12). Suppose 0 = -b + 6*b + 25. Let k(z) = 2*z**3 - 8*z**2 + 5*z + 1. Calculate b*a(f) + m*k(f).\nAnswer: -2*f**3 + 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156\/337 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 18 = 4*y - 34, -3*b - 777*y + 13 = -776*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*d + 84*d + 16 = j, 5*d - 4*j = -83. Let t(o) = -7*o - 149. Give t(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5*r = -2*b + 331, -5*b = 3*r + 404. Let g = 119 + b. Calculate the least common multiple of g and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 v, and 1 b when four letters picked without replacement from {f: 1, v: 9, b: 2, k: 6}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 86.08043 nanoseconds?\nAnswer: 0.08608043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1200)\/70)\/8*(-2)\/((-8)\/14)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -483 + 507. What is the remainder when 71 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 6*t = -21. Let i be 1*(-5)\/2*-2. Suppose 2*j - 3*d + 11 = 62, -i*d + 48 = t*j. Solve 0 = -5*y - h + 2*h - j, -3*h - 27 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(0 - 5\/2). Does 2 divide (-12)\/m*(-5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let l(t) = t**3 + 2*t**2 + 2*t + 2. Let z be l(-2). Is z + (-5)\/(-2 - k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 132, 108.\nAnswer: 3, 7, 108, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:45 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, 4, -9341, 18, 14 in ascending order.\nAnswer: -9341, -3, 1, 3, 4, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.09 - 0.09. Let y = 5 - 0. Let v = -4 + 4. Which is the closest to v? (a) y (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1103160?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 80*w = 0. Solve i - 2 = w, -5*m + 2*m + 4*i = 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*((5 + 2*sqrt(2057) - sqrt(2057)) + (1 + sqrt(2057) - sqrt(2057))*-2)*-1)**2*-6.\nAnswer: -49584 - 1584*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 11\/(-2)) + (-2345)\/(-1474)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2059 + -2192.7. Let j = 134 + r. Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2578*p**5\/5 + 51*p**2\/2 + 79*p + 9025. Find the second derivative of y(k) wrt k.\nAnswer: 30936*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xja when three letters picked without replacement from jjjxajx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-6800)\/(-1972))\/50)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*d**2 - 9*d**2 + 0*d**2 - 12*d**2)*(-8*d**2 - 8*d**2 + 2190*d - 2183*d) to the form n*d**2 + x*d**3 + m*d + p + t*d**4 and give t.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/2, 0.2, -15, 85.\nAnswer: -15, -6, -1\/2, 0.2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42155124?\nAnswer: 2, 3, 11, 319357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -33058991 to the nearest 1000.\nAnswer: -33059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 - 51*p**3 - 29*p**3.\nAnswer: -41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13538610 divided by -5535.\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = 3*m, 4 = -5*x - 11. Solve 0 = -2*p - 2*p - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996587341 divided by -6.\nAnswer: -996587341\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b = -61*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 39 = a, 0*l = 4*a - 5*l - 112. Suppose -4*u = -5*r + 37, 2*r + 2*r - a = u. Let q = -2 + r. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 8*r**2 + 8*r - 2. Let m be o(-7). Let q be (-2)\/m + 224\/126. Let u(y) = 20*y**3 - y**2 - y + 1. Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10623, 20904, 31185, 41466?\n\"Answer: 10281*k + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56395 + 90909. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 33. Suppose -2*i = -2*u - 2 - 4, 4*i - u - h = 0. Suppose -5*f + f = -i. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {i: 2, s: 3, k: 1, u: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:46 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 59 + (-1290 - -1204)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:39 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-3\/2)*q*q)**(1\/45)\/(q**(-2)*q\/q**11) assuming q is positive.\nAnswer: q**(1091\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-5 - 4) + (-2 - -20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10962 - 9814. Calculate the remainder when s is divided by 284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*d, -3*n = -2*d - 0*n + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((720\/28)\/(-18))\/(10\/(-4))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1986\/60 - 6\/60. Calculate the greatest common factor of 407 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 340631 - 340631 + 1153*y to p*y + d and give p.\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 - -218. What is the derivative of -4 - 13 - 71*c**4 - 24 + w wrt c?\nAnswer: -284*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*d + 21, -14 = 5*d - 2*b + 21 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399132, 798201, 1197286, 1596393, 1995528, 2394697, 2793906, 3193161?\nAnswer: 3592468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3901, -7745, -11587, -15427, -19265?\nAnswer: -23101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/12*-2. Suppose 16 + 68 = x*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(sqrt(170)*-1 + sqrt(170) - sqrt(170)))\/(sqrt(70)\/sqrt(175) - (-6*-1*sqrt(10) + sqrt(10))).\nAnswer: -15*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)\/((-3)\/12). Suppose 4*n = n + 2*v + 4, d*n = -3*v + 28. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from kiqqiimaqm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -75, -2\/19, -4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/68)\/(23856\/(-14484)).\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(1300\/1265) - -5. Let k = 285\/572 - o. Let -2\/11*z**4 + 0 - k*z + 14\/11*z**2 - 12\/11*z**3 + 4\/11*z**5 = 0. Calculate z.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280965196.1 to the nearest one million.\nAnswer: 281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 167768369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 m when four letters picked without replacement from {m: 11, h: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -10. Suppose -x - b = b - 11, 4*x - z = -b. Solve -13 = -x*d + 5*m, 2*d = -3*d - 3*m - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216\/5*i + 64\/5*i**3 + 276\/5*i**2 + 0 + 4\/5*i**4.\nAnswer: 4*i*(i + 1)*(i + 6)*(i + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*f + f - 12 = 0, -5*x + 4*f - 12 = 0. Solve -2*b = -x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = o - 3, f = 5*o - 20. Suppose -n - f*n = -1350. Round n to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - y**3 + 7*y - 11*y - 6*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-20)\/(h**2\/(h*h*(h\/h**5)\/h*h)))**(-45) assuming h is positive.\nAnswer: h**1980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57302 (base 9) in base 8?\nAnswer: -112411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-2 + sqrt(500) + 0)**2 - sqrt(500)) + (sqrt(500) + 2*sqrt(500))**2*-5.\nAnswer: -22000 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y**6 + 0*y - 5 + 0*y**4 + 0*y**5 + 4\/3*y**3 + 0*y**2 - 8\/7*y**7. Find the third derivative of k(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 + 4*s**2 + 127*s + 501. Determine i(-3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17428*y**3 + 278849*y**2 + 296260*y - 17 = 0. What is y?\nAnswer: -1, 1\/17428, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32480387 times -1?\nAnswer: -32480387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + -3 + -1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4384 + 1.4855.\nAnswer: 1.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*w - 5*r + 98, 0 = -4*r - 12. Calculate the least common multiple of 584 and w.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34819 - 34796. Solve 31 = -6*i - z for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*g = -g + 12, -5*g - 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - ((3 - 1) + 26 + -33)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 3*a**2 + a + 1. Let b be k(0). Solve 8 = 5*l + 3*d - 5, -4*d - b = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and -0.2.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/15043 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 5371 = -4*n - 5222, -4*n + 94 = 4*s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 516\/13 (b) -2 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/12*((6 - 15) + 6)*1. What is the biggest value in 289, h, 10?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1555 and 13985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0476476 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*l**2 + 2 - 158*l + 296*l - 3 - 156*l as i*l + u + p*l**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 50\/(-29 + 19) - (41 + -3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -21. Let s = i + 2. Solve r - 3*x - 9 = 0, s = -x - 3*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*(6\/9)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 6*u = -q - 15, 0 = -q - 4*u - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 41. Let r be j(11). Let n = r - -2. Solve 3*y = -h - 5, h + y - n = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 645*p - 295. Let w(r) = -38*r + 17. Calculate 2*s(m) + 35*w(m).\nAnswer: -40*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let a = 1.6 - 4. Let b = a + 2. Sort b, 0.5, u in descending order.\nAnswer: u, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -401*x + 8189. Is 17 a factor of l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrpx when four letters picked without replacement from {r: 6, x: 1, q: 4, p: 7}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-48)\/(-48))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170)\/sqrt(5) - sqrt(34))\/(sqrt(8)*-1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -7*q + 440. Let n = q - 28. What is the first derivative of -6*b**3 + 18*b**3 - 10 + n - 9 wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -65.03. Let p = 1.03 + r. Sort -0.4, -5\/2, 4, p in descending order.\nAnswer: 4, p, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2) + -1 - sqrt(2)))*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/30353?\nAnswer: 12\/30353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 18*g - 4. Let k(s) = -3*s**2 + 19*s - 3. Let j(p) = 3*k(p) - 4*m(p). Let t be j(-14). Suppose t*l - 2 = 20*l. Which is smaller: 20 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j**2 - 18*j - 15. Suppose a = -4*l + 14, -4*l - 3*a = -8*l + 6. Let w(p) = 7*p**2 + 17*p + 14. Let y(k) = l*w(k) + 2*x(k). Calculate y(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000100000000111111 (base 2) to base 8\nAnswer: 1040077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -644 - -653. Suppose -x - 3 = -g. Let c(z) = 4*z**3 - z**2 - 2*z - 1. What is the remainder when c(2) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5198 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2 - 810*n + 3160 = 0.\nAnswer: 4, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.72 and 49.1647.\nAnswer: -35.398584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2)*d)\/d)\/d**3*(d**1)**(1\/87) assuming d is positive.\nAnswer: d**(-781\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/10464 and 85\/35260192.\nAnswer: 105780576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 17 = 291 + 84 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 12, r: 4, d: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p - 14*p - 28 = 227 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and 0.03295.\nAnswer: -2.99845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(2448)*-6 + -1*(sqrt(425) + (-1 + sqrt(425) + sqrt(425) + sqrt(425) + 4)**2).\nAnswer: -3834 + 481*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.03334cm to micrometers.\nAnswer: 20333.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = 5*s, 4*t = -0*t + 3*s + 55. Let a = 4 - t. Let f = 40 + a. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 7. Let p(k) be the third derivative of k**4\/24 - 4*k**3\/3 - k**2. Let z(w) = 4*f(w) + 3*p(w). What is z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99844*w**2 + 49923*w**2 + 49895*w**2 - 3*w.\nAnswer: -26*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*h = 606490 + 473891 + 335595. List the prime factors of h.\nAnswer: 2, 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, n: 4, q: 1}. What is prob of picking 2 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s**4 + 8356*s**3 - 28512*s**2 - 12196*s - 1136 = 0 for s.\nAnswer: -1\/4, -1\/7, 4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 435*f - 9121. What is w(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 6, a: 1, x: 3, d: 1, q: 1}. What is prob of sequence axi?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 - 2?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.27 or -12?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let w(f) = 2. Let j(g) = -g + 3. Suppose -5*y + 4*o + 8 = 0, -y + 2*o - 10 = -8. Suppose 6 = -y*u - 6. Determine q*j(v) + u*w(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7004973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4\/3 - 34*n**3\/3 + 26*n**2 - 16*n\/3 - 32\/3 = 0. Calculate n.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:29 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 326773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + a = 4*a - 162, 4*a + 127 = 3*x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/9745 and -29\/337177.\nAnswer: 1685885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 110834 divided by 1\nAnswer: 110834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120665516 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12184141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 150354 = -885964. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 7. Let v = 1 + 0. Let a = -92 - -830\/9. What is the closest to v in a, -2, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Suppose 0 = -3*t - 3*v, 5*t + 2*v - 9 = -n*t. Let q be t - (0 - -1) - 7302. What is q rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -12. Let d = r - -5. Suppose -4*i + 3*i = 0. Solve i = -3*w + 3 - d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12741117.\nAnswer: 2\/12741117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 18967000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 - -194. Put c, 2, -31 in increasing order.\nAnswer: -31, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*f + 4, -2*h - f + 130 - 138 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -95, -1, 9100, -7, -2, -3 in decreasing order.\nAnswer: 9100, 3, -1, -2, -3, -7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2*g + 0*g + (-4*g + 3*g - g)*(-2 - 1 + 4) + 0*g - 2*g + g + 2*g - 2*g - 4*g + (-7 + 2 + 3)*(g - 1 + 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75598 bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 1:10 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044483 is divided by 280248.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -3, -72\/13, 0.5, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:55 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/9 - (-161)\/23 - (-142)\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -142*b**2*f - b**2*r**2 - b**2*r + 21*b**2 + 1346921*b*f*r**2 - 2*f + 2*r**2 - 17*r - 6684 wrt f?\nAnswer: -142*b**2 + 1346921*b*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 + 91*b**3 + 9*b**3.\nAnswer: 119*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4916 - -2?\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/434*((-298634)\/771)\/(-83)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w - 2*w. Suppose 0 = 4*z - 7*z + 12. Let q be z\/(-5)*(-10)\/4. Sort q, 1, w in increasing order.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120267.173 plus 0.38?\nAnswer: 2120267.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 2*j**2 - 5*j. Let h(i) = i**3 - i**2 - 4*i. Let x(k) = -k**2 + 4*k + 1. Let y be x(3). Calculate y*h(t) - 3*n(t).\nAnswer: -2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/8478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4*f*f*f\/(f\/f**(-1\/8)))**25)**4 assuming f is positive.\nAnswer: f**(1175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((3*22\/9)\/((-368)\/(-276))).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 32*o + 26. Let g be v(15). Which is the smallest value? (a) -1 (b) g (c) -1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 19 + 57 = 2*c, 5*f = 20. Which is smaller: 88\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.9.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -496*b**4 + 5*b**3 - 981 wrt b?\nAnswer: -1984*b**3 + 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789219 is divided by 1964.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-1\/4)))\/j**(-1))\/(j**4\/j**4))\/((j*j**(-2\/9))\/(j\/(j*j**2)*j)*j**6*j**(-2\/11)*j) assuming j is positive.\nAnswer: j**(-2909\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*h + 3*i, -2*i - 31 = 3*h - 151. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0140859756 rounded to four decimal places?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, v: 2, d: 1, f: 1, p: 2, k: 2}. What is prob of sequence kv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90171369 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/4)\/(-4) - -2. Let h = -3 + t. Let g be ((-2)\/(-4))\/(h\/8). Solve v - 19 = -n - 2*n, -g*n = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 7*r = 21*u - 157466, 5*u + 3*r = 157386. Is 159 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 + 3*h**3 + 2*h**3 + (-5*h + h + 2*h)*((3 - 3 - h)*(-2 + 5*h + 2) + 3*h**2 - h**2 - h**2).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884.1189 kilometers to meters.\nAnswer: 884118.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101 - -100?\nAnswer: 10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from lbvvlb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1551, -15, 8, 1, -3.\nAnswer: -1551, -15, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-355)\/(-20) + (-16)\/(-64)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 32 + 43 + (-1 - 3 + 3)*(-1 + 1 - 1))*(5*c - 5*c + 4*c**2) - c**2 + 4*c - 4*c in the form y*c**2 + j + a*c and give y.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -95700.711352 and -18.52.\nAnswer: -95719.231352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 9*q - 9. Let a be r(7). Suppose -s + a*j + 86 = 0, -j - 74 = -s - 0*j. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 - 28 + 13 + 476934*r.\nAnswer: 476934*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96165 or -96169?\nAnswer: -96165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18287.34 to the nearest one hundred.\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23157060 and 25472766.\nAnswer: 254727660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 30. Let f = 20.000036 + b. Round f to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 9603?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*6\/(28\/2 + -17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15016821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t\/((t\/(t\/(t*t*t**(-2\/13))))\/t))\/t)\/t)**(-42\/5))**(-20) assuming t is positive.\nAnswer: t**(336\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/83, 0, -0.203, 10, -5 in increasing order.\nAnswer: -5, -0.203, 0, 2\/83, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 57124.2687 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 + 4. Factor 2\/11*u**3 + 0*u + 2\/11*u**i + 0.\nAnswer: 2*u**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1141 (b) 1\/149 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.7 + -16.4. Let o be (-3 - (-42)\/15)\/(1\/(-3)). Sort o, c, 1\/7 in decreasing order.\nAnswer: o, c, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/9 + 466*k**4\/3 - 36944*k**3 + 3159168*k**2 - 40755456*k + 94818816 = 0. What is k?\nAnswer: 3, 12, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**4*q)\/q*q*q*q\/(q*q**(-24))*q)**(35\/6))**48 assuming q is positive.\nAnswer: q**8680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**3\/3 + 4385*k**2\/2 - 1704. Let n(g) = 0. Calculate g.\nAnswer: -877, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b821 (base 12) to base 13\nAnswer: -9259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 5. Let a be k(-4). Suppose z + a = 6. Factor 5 + 5*x**3 - z*x + 4*x**2 - 15 + 6*x**2.\nAnswer: 5*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -4*d + 92106000. What is d rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245405 (base 6) to base 2.\nAnswer: -10000110000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2, 4, 0.03.\nAnswer: -2, -0.7, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 172266*s - 45790940 = 0. Calculate s.\nAnswer: -86398, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*i*z**2 + i*z + 653*i + 2*z**2 with respect to z.\nAnswer: -130*i*z + i + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 16*x**2 - 14*x + 22. Is g(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v + 3, -4*r + 15 = v. Suppose 0 = -z + 2*z - r. Solve z*k + 3 = s, 0 = 3*k - 1 + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = -4*c, 19*c - 17*c - 16 = -4*j. Solve 5*t - 4*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 3. Let u(i) = i + 1. Let b(g) = m(g) - 3*u(g). Let z = 7 - 5. Let o(k) = 5 - 3 + z*k**2 - 2. Give o(b(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = v - 51 - 37 + 166 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 - 4*c + 100. What is u(7)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 10. Find the common denominator of 61\/20 and w\/(-12)*309\/(-30).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1234, -2417, -3600, -4783, -5966, -7149?\n\"Answer: -1183*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2528, 20757, 70366, 167045, 326484, 564373, 896402, 1338261?\n\"Answer: 2615*z**3 - 76*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 0.03 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 9*f + 3. Suppose -3*i - 7 = s - 60, i + 3*s - 7 = 0. Calculate the remainder when i is divided by j(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxu when four letters picked without replacement from uuouxxuuuousxx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-56 - 91) + 136.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19067 - -18459. Which is the second smallest value? (a) 0.4 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/19)))\/t*t\/((t\/(t\/(t\/(t\/t**(6\/5))*t)))\/t)*t**(2\/99)*t*t**(-41) assuming t is positive.\nAnswer: t**(-388286\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39913*z**2 - 39139*z**2 + 79048*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 7, -0.4, 4, 35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*v + 38 - 28, 0 = 5*v + 3*f + 23. Put v, -2, -32, 5 in decreasing order.\nAnswer: 5, v, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/5)\/(27\/(-180))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v - v)*(-3*v**3 - 2*v**3 + 3*v**3) - v**4 - v - 3*v**3 + v.\nAnswer: v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6744020, -6744019, -6744018, -6744017?\n\"Answer: t - 6744021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)*r*r**(-2)*r)\/(r\/(((r**(2\/3)\/r)\/r)\/r*r)*r**(-2)\/r) assuming r is positive.\nAnswer: r**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 32.18772\nAnswer: -33.18772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b + -4d11?\nAnswer: -4cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and 69195.5?\nAnswer: -7196332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -217. Let f(b) = b + 40. Let n be f(a). What is the greatest common factor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25070852 divided by 368689.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let x = 0.3 - 0.1. Let t = 0.6 - x. Which is the third smallest value? (a) g (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3289*j**4 + 155 + 11*j**2 - 156 - 3287*j**4 + 7*j in the form b*j**2 + y*j**4 + d*j**3 + i + q*j and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (323\/(-95))\/(16\/(-80))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**3 + 0 + 0 - 1 + 6*z**3 - z. Let x(a) be the second derivative of 3*a**5\/10 - 7*a**3\/6 - 7*a**2\/2 + 20*a. What is 14*b(t) - 2*x(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 17. Suppose 3*i = -2*a - w + 67, 0 = -4*i + 3*a + 59. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 670*z**3 - 7235*z**2 - 4060*z + 141120 = 0. What is z?\nAnswer: -144, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/129?\nAnswer: -4\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587429, 587619, 587809, 587999?\nAnswer: 588189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/(-2)*(-2 + -1 + -7). Suppose -a*h = -199*h + 8. What is the lowest common multiple of h and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 - -37?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 41844.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k + 9 - 8*k + 0*k + 4*k. Determine f(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507*g**3*t*v**3*y**2 + g**3*t*y**2 - 57*g**2*v**3*y + 2*g**2*v**2*y - 2*g*t*v**2 + g*t*y**2 wrt g.\nAnswer: -3042*t*v**3*y**2 + 6*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*d = 2*o - 5, d = 2*o - 15. Let n(w) = w**3 - 19*w**2 + 18*w. Suppose s + 18 = 36. Let i be n(s). Solve 2*z + i*z + o = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0 + 1\/3*t**4 - 10*t + 0*t**3 + 0*t**2 + 1\/2*t**5. What is the third derivative of o(f) wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c (base 16) in base 7?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/21 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447526 (base 8) in base 7?\nAnswer: -3341421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45867824 and 608.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7. Suppose 3*k - 3*l - 3 = l, -3*k + h = -3*l. Suppose 128 = 2*y - k*r, 2*y - 5*y + 2*r = -214. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 9*p = 8, 4*y + 42*p = 29*p + 23*p + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/180*((-84)\/16)\/(-7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16e - 2?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8357632, -8357628, -8357624?\n\"Answer: 4*u - 8357636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 - 28*z - 8. Let h be o(6). Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.563659 years to millennia.\nAnswer: 0.008563659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y)*(10*y**2 - 2*y**2 - 40*y**2) + 5*y**3 - 4*y**3 + 4*y**3 + (0 - 2*y**2 + 0)*(3*y - 2*y - 4*y).\nAnswer: 43*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467969359 + 935938709 + 17*h - 467969350.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6. Let n be j(0). Let r be ((-40)\/(-6))\/(n\/(-189)). Let h be (0 - (-6)\/(-15))*r. Calculate the highest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(64 - 106*o + 103*o - 11) to w + z*o and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 176, 179, 182?\n\"Answer: 3*z + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 - 2*v - 1. Let u be k(-1). Let c be (0 - -1)\/(7\/(-21)). Let g be 0 + 2 + c\/(-1). Sort u, -2, g.\nAnswer: u, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 11:50 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 10 = 9*l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -13*s + 36. Solve 4*y + 5*u = -y + 15, -2*u = -s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000121544623 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = g - 0*a - 2*a, 3*g - 3*a = -15. Suppose g = -23*j + 40 + 6. Let i be (-2)\/(-5) + (-28)\/(-5). Solve -i*t + 16 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 12*a**2 - 15*a**2)*(2*a**2 - a**2 + 0*a**2 + 5*a).\nAnswer: -29*a**4 - 145*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**3 - a**2 - a - 1. What is o(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 14*n - 48. Let r be p(-6). Calculate the greatest common factor of 738 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1045\/(-55) + (111 - 14).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002421 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*m = 10, -y + 4*m - 137 + 139 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(228) - 4*2*sqrt(228) - sqrt(228))\/sqrt(768) - (((sqrt(38)\/sqrt(2) + sqrt(19))*6)**2 + (sqrt(19) + sqrt(171)\/(sqrt(27)\/sqrt(3)))**2)).\nAnswer: sqrt(19) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/22 and 20\/(-5) + 109\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55807821 and 0.03.\nAnswer: 1674234.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 10*r - 26. Let j be m(7). Suppose 0*y - 2*y = 3*w - 420, -2*y = -w - j. What is the highest common divisor of 162 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/14 + 33\/77. Suppose -5*f + o*h - 4 = 0, -3*f + h - 2 = -1. Suppose f = -10*d - 8 + 28. Solve d = -b, x + 0 + 2 = -b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3747 = 75*m - 72*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1375\/13 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s - 106. Give j(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15855*u**2 - 7*u**3 - 16004*u**2 + 31859*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -11)\/((-2)\/(-2742)). Suppose 2*z - 5*z + b = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 2*z + 1. Suppose -2*r + 3*r = 5*n + 26, 2*n = -3*r - 7. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:37 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = -4*v + 8*g - 193, 3*v + 146 = -4*g. Let o be 56\/v - 19\/(-3). Solve -o*z + 31 = -4*f, 0 = z - 3*f - 10 - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 233, 112, -23, -178, -359?\n\"Answer: -r**3 - r**2 - 111*r + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -7 - -1) + 81. Factor 52*x + 34*x**2 + 68 - 6*x**2 - l.\nAnswer: 4*(x + 2)*(7*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -815150?\nAnswer: -815150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4)*8\/2. Let m = -3 + z. Suppose -m*o - 3*o + 95 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10429990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*m = -3737 + 12220, -4*m = -5*x + 42295. What is the greatest common divisor of x and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1427 or -1426?\nAnswer: -1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.14 - -32.14. Suppose -6 + 1 = -r. Sort i, -0.04, -5, r.\nAnswer: -5, -0.04, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 36 = -5*v, 9903 = -34*d - 2*d - 5*v + 9871 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218736?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 67 (c) 0.608 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14308*i - 24061*i + 9754*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 714 + -96. Suppose -3*s + b = 3*s. Suppose -161 = -5*a - l - 0*l, 0 = 3*a - l - s. What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2427, -2433, -2443, -2457, -2475, -2497, -2523?\n\"Answer: -2*o**2 - 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 > 87.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 6. Suppose 0 = -12*o + 7*o + 10. Suppose o*x = -0 - 2. Let h(m) = m - 1. Determine x*i(s) - 6*h(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let v(u) = -6*u + 269. What is v(z(r))?\nAnswer: -12*r + 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -1 - (-10 - (-3 - 6)). Let q be (((-2)\/(-2))\/(7 - 8))\/(-7). Which is the nearest to -1\/21? (a) i (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 1, t: 6, m: 1, s: 1, a: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12677175 divided by -93905?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 8 = 0. Let w(j) = 1 - j**2 + 0*j**d + 0. Let q(p) = -6*p**2 - p + 6. Give q(m) - 4*w(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 + -177.999409. What is i rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42683794 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 + 5*q + 9. Calculate the remainder when x(-5) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-28))\/(42\/(-98)))\/(124\/24)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2 (c) 118 (d) -449\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-60)*(-344)\/129. Sort -8, g, -64.\nAnswer: -64, -8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*r**2 - 44*l**2 - 5*l*r**3 wrt r.\nAnswer: -4*l**2*r - 15*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:49 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 77735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(2\/1384). Let t = -527 + s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-12)\/(504\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.74 (b) 0.1 (c) -35851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 12. Suppose -7*i = -i - p. Suppose -i = -3*d + 11. Solve w = -0*w + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173724.\nAnswer: 2, 101, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990*f + 1002*f = 24. Factor -12*t - 4\/3*t**3 + 0 - 8*t**f.\nAnswer: -4*t*(t + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 1604772908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000010001 (base 2) to base 11.\nAnswer: -5442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 7, 16, 41, 88, 163, 272?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, 168, 391, 634, 903, 1204, 1543?\n\"Answer: r**3 + r**2 + 199*r - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -2 (c) -4\/37 (d) -229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 745*s + 53621. Calculate b(-72).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 2*u. Suppose 2*b + u = 4. Suppose -3*m = -b*c - 15, c + 3*m - 19 = -4. Solve -4*t + 4 + 0 = c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04880372 + 0.0488. Round h to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((1 - 0)*-2). Suppose -5*p - 3*m = -2*m + 22, m = -p - 2. Put 0.3, p, o in increasing order.\nAnswer: p, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*1\/10*(-2)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3. Let o be n(2). Is 15 a factor of (o\/(-10))\/((-2)\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2*s + 0 + 0)*(1 + 0 + 1)*(229*s - 675 + 675).\nAnswer: -1832*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 4*j - 5. Let x be c(5). Let u = x + 28. Let n = u - -108. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 + 4*x)*(-3 + 3 - 4*x**2)*(4 + 0 - 2 + (2 + 2 - 3)*(-3 + 4 + 0) + 9 + 4 + 1 + 3 + 3 - 5).\nAnswer: -288*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.399 + 0.229. Let f = 0.67 + q. Let i = 73\/240 - 7\/16. Which is the nearest to 0? (a) f (b) i (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-3576))\/(118\/(-1239)) and 17\/5?\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2. Let d = -6 + 10. Let l(q) = q + 2. Let s(g) = g + 3. Let h(k) = d*s(k) - 6*l(k). Calculate p(h(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10\/4 + 7\/(-15 + 1) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 3311\/821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(15) - (2*sqrt(1500) + sqrt(1500) - sqrt(1500)))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))) - ((1*sqrt(720))\/(sqrt(1089) + 1*sqrt(1089)))**2) + -5.\nAnswer: -76*sqrt(5) - 685\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 41*a - 44. Let o be v(4). What is the greatest common factor of o and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275058?\nAnswer: 2, 3, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (2 + (0 - 1)). Let s = 0 + 4. What are the prime factors of -2 + s + (-12)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4558938*c**3 + 4643966*c + 1.\nAnswer: -27353628*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 641, 829, 1017?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149 and 154066?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 24.\nAnswer: 67\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11078 + -49?\nAnswer: 11029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5\/4)*a\/(a**(2\/3)\/a))\/((a**(-2\/5)*a)\/a)**(-1\/3) assuming a is positive.\nAnswer: a**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, z: 6, g: 1, x: 1, m: 2, l: 2}. What is prob of sequence eemm?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3490, -6975, -10470, -13981, -17514, -21075?\nAnswer: -24670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -5, 4 in descending order.\nAnswer: 49, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.3 - -7. Let n = 55 - 45. Let x = n + -14. Which is the nearest to -2\/9? (a) 3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*q - 15 = 0, 10*l - 3*q = 5*l + 24. Let b = 6.6 + -1.6. Put l, b, 2 in decreasing order.\nAnswer: b, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from xxxxxxxxxzzxzzjxzx?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*g = -1222*g + 101949 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-5 + (sqrt(5) - (2*sqrt(125) + sqrt(125))) - ((sqrt(30)*-2)\/sqrt(6) - sqrt(80)\/sqrt(4)))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203224 divided by 3978?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -24*w**2 - w. What is g(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53, 37, -1, -61, -143, -247, -373?\n\"Answer: -11*q**2 + 17*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(296\/16) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let r = 3 + y. Let w = 10 + -8. Which is the third biggest value? (a) w (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18738 is divided by 4673.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(3 + -1)\/(-4). Let i(x) = 12*x**2 - 2*x. Let w be i(m). Let g = w - 9. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwngdyw. Give prob of picking 1 x and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930.75 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -15. Let f be ((-1)\/3)\/((-3)\/9). Let o = -20 + 15. Which is the second biggest value? (a) o (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50+-93784\nAnswer: -93834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*q**3 - 1 + 3 + 3*q to m + v*q**3 + o*q + i*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjt when three letters picked without replacement from {w: 10, t: 2, j: 1, r: 7}?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - w = -3*w + 20, 0 = -4*f + w + 20. Suppose -f*h + h = -16. Suppose 0 = -5*n - j - j + 89, 2*j = h. What is the remainder when 83 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/19 - 20*w**3\/19 + 26*w**2\/19 + 120*w\/19 + 72\/19 = 0. Calculate w.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 + -278. Suppose 941 = 5*z - 2*m, -3666*z - 909 = -3671*z - 2*m. Are p and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/20 + u**4\/6 - u**3\/3 + 3*u**2\/2 - u. Suppose 0 = -3*m - 0 + 3. Let v be ((2\/(-4))\/((-3)\/(-18)))\/m. Give a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 4 - 4.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**7\/210 - u**6\/45 + u**5\/10 - 22*u**3\/3 - 73*u**2. Let g(i) be the first derivative of m(i). Suppose g(h) = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*b - 17*b + 31*b**2 + 2 - 30*b**2 - 2.\nAnswer: b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -2*u. Suppose 3*y + 20 = 8*y. Let b be u\/8 + (-5)\/y. Let p(g) = g**2 - g - 1. Let f(l) = -l**2 + 3*l + 3. Give b*f(h) - 3*p(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3, f: 5, g: 3, z: 3}. What is prob of sequence zz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -58.6. Which is the third biggest value? (a) -0.4 (b) k (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5473, -10932, -16407, -21904, -27429, -32988, -38587?\n\"Answer: -f**3 - 2*f**2 - 5446*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -379*i**2 - 61*i**2 - 75*i**2 - i**3 - 259*i**2 + 2*i + 116*i**2 as y + g*i**3 + z*i + t*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 + 36. Determine h(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8918\nAnswer: 8923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.4 - 495.6. Let n = 619.1 + r. Which is bigger: 657 or n?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - ((-32 - -22) + 57)) + 39\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143318?\nAnswer: 2, 7, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 5. Let u be 28\/n*(-36)\/(-6). List the prime factors of (-798)\/u*4\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:24 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54002, -53694, -53398, -53120, -52866, -52642?\n\"Answer: -t**3 + 315*t - 54316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 391*t**2 - 962*t - 579.\nAnswer: -(t - 193)*(t - 3)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -417*q**4\/4 + 231*q**3\/2 + 3374*q. What is the second derivative of p(g) wrt g?\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30215420 (base 6) to base 8.\nAnswer: 3213444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175865 is divided by 8374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 11, l: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let h(w) = w - 1. Calculate h(j) + 4*n(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*r - 316*r - 9123 = 281*r + 2161 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 135, 31, -5.\nAnswer: -5, 4, 31, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2864719, 2864720, 2864721, 2864722, 2864723?\nAnswer: 2864724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*t. Suppose -2*d + 4*v - 8 = 0, 2*v - 12 = -4*d + t. Solve 0 = -d*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113508*m**4 - 35*m - 15251 wrt m?\nAnswer: -1362096*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.416 + -1.416. Sort 2\/69, b, -1 in descending order.\nAnswer: b, 2\/69, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c - 3*c**2 + 5 + 33*c - 18*c - 3 as l + h*c + a*c**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -756293769196\/591 + 1279684525. Let q = 1091\/3 + n. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 47\/7*q**3 + 0 + 1\/7*q**4 - 1\/7*q**2 - 6*q - 5\/7*q**5 = 0?\nAnswer: -14\/5, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f + 52 = 5*y, -32 = -3*y + f. Let z = -11 + y. Let b = -8.5 + 13.5. What is the third smallest value in b, z, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/132*-1)\/(2\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 15034?\nAnswer: -15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 6. Let m(o) = -7*o + 11. Determine 3*m(v) + 5*s(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3122897 + -775005\nAnswer: 2347892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -51 + (23 + -7 + (-15 - -3) - 13)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14999 = -8*j + 5873. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p + 46*p**2 - 26*p**2 - 32*p**2 - 2490*p**6 - 12*p wrt p.\nAnswer: -298800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3382447*i + 2478558 with respect to i.\nAnswer: 3382447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00246178491 to six dps.\nAnswer: -0.002462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 5*c + 2*i, -2*i = -2*c - i + 69. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/6 + 2219*t**3\/3 + 2393498*t**2\/3 - 51423385*t - 1896750375\/2 = 0. Calculate t.\nAnswer: -2249, -15, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {a: 1, y: 1, q: 1, p: 1, o: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {v: 1, j: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:18 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1515480 and 119\/6228?\nAnswer: 4546440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2225)\/(-623)*(240\/(-75) - -5).\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:17 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 38140 and 50.87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/415 + 7869\/3320. Find the common denominator of i and 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3174900, 6349802, 9524704, 12699606?\nAnswer: 15874508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-31185)\/(-110))\/(-27)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 163\/210*s**7 - 1\/24*s**4 + 0*s + 0 + 0*s**5 - 7\/2*s**3 + 21*s**2 + 0*s**6. Find the second derivative of r(w) wrt w.\nAnswer: 1956*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, n: 2, b: 1}. What is prob of sequence tbn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10530)\/(-1530) - ((-106)\/34 - -3). Which is the nearest to 0.3? (a) f (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167*c**2 - 11 + 207*c**3 - 1417*c**3 - 506*c**3 + 11 wrt c?\nAnswer: -10296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/30*(-1)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55965 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 6 = 5*l. Suppose -2*q = 2*q - l. List the prime factors of (-22 + 20)*(-68 + (q - -1)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 319a7?\nAnswer: 319a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 18*l**4 - 50257*l**3 - 148102*l**2 - 92237*l + 5590 = 0.\nAnswer: -2, -1, 1\/18, 2795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 - -370. Let l = 1992 - x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 550179 and 3834?\nAnswer: 1100358","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*k + 0*k = -289, -1219 = 4*c + 5*k. Let u = -161 - c. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.50576197 - 0.19423738. Let w = m - -0.7. What is w rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:28 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 56*g + 662. Let x be k(38). Do x and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 932 = 121*y + 103*y. Let j(d) = -d**3 + 2*d**2 + 11*d - 16. Calculate j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30479*l + 2*l**2 + 30479*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153331 and 2889.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-50))\/(1*(-1)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o - 5495 = -59*o. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/3 - 152\/(-16). Suppose 2*s + 2*q - 4 = 4, 5*s - 5*q - k = 0. Solve 3*h - s*b = -6, h + 2*b + 8 = 6*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -25456 + 18.9?\nAnswer: -25437.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421810.\nAnswer: 2, 5, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + w**4)*(14 + 5 - 23 + 2*w).\nAnswer: 2*w**5 - 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*8\/(-32) - 2. What is the common denominator of 43\/56 and (-42)\/(-20)*(90\/48)\/w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(6)*-1))\/(sqrt(48) + sqrt(288)\/sqrt(6))*-5)**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 96*l - 190*l = -113*l - 5760 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwyywyyyyyywyyy. What is prob of sequence wyw?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 0 + t**2 - 1\/3*t**3 - t. What are the prime factors of k(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43.7429? (a) 8 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17736276869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83.23 - -74.724. Round u to 1 dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 322830?\nAnswer: -322845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ululu. What is prob of picking 1 u and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 - 0.44. Let j = 8.1 + -8. What is the closest to j in 0.3, 5, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 96*x - 309. Determine d(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 2*z**4 - 21757*z - 34*z**3 - 3*z**4 + 21649*z wrt z.\nAnswer: -24*z - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -41*w - 26. Let q(s) = -61*s - 39. What is 5*q(y) - 8*x(y)?\nAnswer: 23*y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7436 divide 24339439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*m*s**3 - l*m*s**2 - l*m*s - 4*l*s - 10*m*s**2 - 3*m - s**3 wrt s.\nAnswer: -12*l*m*s - 2*l*m - 20*m - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*v = 251*v + 128. Calculate the greatest common divisor of 64 and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12 = -3. Let b(w) = 58*w + 5. Let u be b(0). Put -3, j, u in descending order.\nAnswer: u, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/3)\/5 - 4\/(-12). Sort -9, -5, r, 4 in increasing order.\nAnswer: -9, -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4\/5, -5, 14\/213, 0 in descending order.\nAnswer: 5, 4\/5, 14\/213, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - 4) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -1\/2*d**4 - d + 0 + 3\/20*d**5 - d**2 + 1\/20*d**6 - 1\/70*d**7 - 2*d**3. Factor u(k).\nAnswer: -3*(k - 2)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**5 + 15*h**4 + 113*h**3 + 349*h**2 + 518*h + 300. Let i(w) = -w**5 + w**4 - w**3 - w**2 + w. Let k(t) = 4*i(t) + 2*y(t). Solve k(j) = 0 for j.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 682002?\nAnswer: 2728008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18278059853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27675 (base 8) in base 13?\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 1. Let f(w) = 17*w**3 - 2*w - 3. Let q(r) = f(r) + 4*i(r). Does 5 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4343 = 4316 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-77))\/(10\/15)*2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -143. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 12.36, 0.07, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 4)\/((-390)\/(-156))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + d - 8*d. Let o(k) = -3*k. Calculate o(a(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.335173 years in months?\nAnswer: 16.022076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13851 - -13861. What is the greatest common divisor of u and 9960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3612 and 2493183.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31203\/124780 - -2\/31195. What is the nearest to -1\/4 in 105\/11, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/15)\/x))\/((x**(-2\/5)\/x)\/x*x))\/(x**(1\/4)*x)**(11\/2)*(x*x**3)\/x**(-4\/5)*x**(-5)*x\/x**(-6) assuming x is positive.\nAnswer: x**(383\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.31 (b) 0.1 (c) -3\/4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*h - 326*h = 5143 + 1165 + 574 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165977494 to the power of 1\/2, to the nearest integer?\nAnswer: 12883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*x + 242*x - 418*x - 2 + x + 2 + (-1 + 1 + 2*x)*(1 - 1 + 2).\nAnswer: -389*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250491\/8 + 1183963\/40. Let b = -1710 - d. Calculate the common denominator of b and 281\/(-40) - (-4)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-141)\/(-2) - 3\/6. Let q = r + -31. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*u - 22 = 4*u, 0 = 5*x - 5*u - 95. Let h = x + -14. Suppose 0 = 3*q - 12, 538 = h*a - 5*q - 782. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -72. Let c = 7 - -21. Let w = 0 + c. Solve -5*r - k*p - 22 = 0, 5*r = r - 5*p - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*u + 24, i + 26 = -2*u + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11598591 and 489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3, -98 in descending order.\nAnswer: -2\/5, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32002 (base 6) to base 15\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 695743040 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 1042, 1565, 2088?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 5769776.8.\nAnswer: -23079107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-107)\/(-7) + 8\/(-28). Let q be (-10)\/(-3) + (-5)\/v. Suppose 4*y - 109 = -3*c, -35 = 2*c - q*c - 2*y. What is the greatest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(15\/9 + -2). Suppose 888 = 3*m - z*m. Let v = 455 + m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.028807 + -7763327\nAnswer: -7763326.971193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 1633*s\/8 - 204.\nAnswer: -(s - 1632)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3\/10))\/i**(-1\/12))**24)**25 assuming i is positive.\nAnswer: i**470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*-1*10\/(1 + -6). Solve 3*w - 5*j = 11, w + r = -3*w - j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11816)\/(-1040) + -12 + 1*(-15)\/(-25)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -6. Let o(s) = -3*s**2 - 8*s. Let d(t) = -8*t**2 - 20*t. Let q(m) = w*o(m) + 5*d(m). What is z in q(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*11.677\nAnswer: -46.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -6.1. Let c = -3.98 + p. Round c to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26831 is divided by 263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - v**5 + 2 + 2*v**5 + v**5 - 2*v**5 + (v**4 + 0 + 0)*(-3 + 2*v + 3) - 4*v**5 - 3*v**5 - 2*v**5 + (0 - 3*v**3 + 0)*(-v**2 + 0*v**2 - v**2).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhbyhdg. What is prob of picking 1 y and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10192\/241 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 2*q**2 + 4 + 23\/20*q**5 + 0*q + 0*q**3 - 3\/2*q**4. What is the second derivative of g(y) wrt y?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - a**4 - a**4 + ((-a + 0*a - a)*(-1 + 0 + 0) + a + a + a)*(-101*a**2 + 101*a**2 - 14*a**3).\nAnswer: -69*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v + 0*v - 35*v + 1081 = -2169 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c**4\/4 + 521637*c**3 - 347752*c**2 - 1159188*c - 463676 = 0. Calculate c.\nAnswer: -2\/3, 2, 231838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 - 3*b**2 - b - 2. Let m be v(-2). Let d = m + -10. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 5*w + 199, 3*k - 161 = -20*w + 26*w - w - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50.5 from 5284.1.\nAnswer: 5233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410262?\nAnswer: 2, 7, 100733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 0.4, -0.045, -0.4 in increasing order.\nAnswer: -0.4, -0.045, 0.4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/20284880 and 41\/2072?\nAnswer: 20284880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -y + 3*y. Let s = 22\/27 + 4412\/351. Let k = s + -933\/26. What is the common denominator of k and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -27. Solve w*z = -l + z + 9, -5*z + 23 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + u**5 + 0*u**5 + (-u**2 - u**2 + 3*u**2)*(-5*u**3 + u**3 + 2*u**3) - 2*u**4 + 2*u**4 + u**5 - 3*u + 3*u - u**5 - 2*u**5 - u**5 + u**5.\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10122 - 10116. Let c(n) be the third derivative of 5\/8*n**4 + 0*n**3 - 24*n**2 + 1\/40*n**g - 3\/10*n**5 + 0 + 0*n. Suppose c(k) = 0. Calculate k.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2438 - -2436. Put 0.2, a, 49 in decreasing order.\nAnswer: 49, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 54 = -4*f, 4*a - 7 = -41631*f + 41632*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 59 + -31 + -5 - 76.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16744, 19461, 22162, 24847?\n\"Answer: -8*t**2 + 2741*t + 14011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.05 + -10. Let w = -2.04 - -0.04. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39342 is divided by 4371.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(363)*2 + 2 + 1)**2.\nAnswer: 352*sqrt(3) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**8\/6720 - 11*s**5\/30 + 27*s**2. Let m(j) be the third derivative of v(j). Let p(w) = -15*w**2. Give m(p(c)).\nAnswer: -675*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/43 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4470*x**2 + 3*x + 3. Let d be g(-1). Suppose 7*o - d - 13597 = 0. Let l = -122 + o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28892.5 + -28892.1. Let o = -6.4 + 0.4. What is the second smallest value in o, -5, 2, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139637632.\nAnswer: 2, 1090919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31023*u - 12465 - 2831 = 30784*u for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -234.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*g - 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) - -1*sqrt(198)) + sqrt(198))*-2)\/(4*(sqrt(11) + sqrt(176)*6 + sqrt(11))).\nAnswer: -9*sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 6, d: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.037 - -14.563. Let p = -11 + t. Let n = -2.6 + p. Is n smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4235) - (1*sqrt(4235) + sqrt(4235) + sqrt(4235) - sqrt(4235)))*-1)\/(sqrt(55)\/(-5*1*sqrt(11))))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10623 - -2002?\nAnswer: -6621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*u**3 + 26*u**3 + 86*u**3)*(-5 + 2 + 9).\nAnswer: 456*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 37920*o**3 + 119789274*o**2 - 239692320*o + 119865123.\nAnswer: 3*(o - 1)**2*(o + 6321)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 22203390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167.427 - -88.\nAnswer: -79.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**7\/2520 - a**5\/120 + a**4\/12 - 2*a. Let x(b) be the third derivative of r(b). What is the units digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357554983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32 + 0 + a**3 - 329*a - 11*a**4 - 7 + 330*a wrt a.\nAnswer: -132*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7167*z**2 - 7081*z**2 + 4423*z**3 + 14764*z**2 wrt z?\nAnswer: 26538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/3 - 3*x**4 + 49*x**3\/3 - 43*x**2\/3 - 16*x + 52\/3 = 0.\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 7. Let m be h(5). Suppose -5*y - 3 = 3*l - m, 0 = 5*l - 2*y - 15. Let j(s) = 2*s**2 - 2*s. Calculate the remainder when 23 is divided by j(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5086683 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.99 + 48. Let b = g + 5.99. Does b = 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -56*i - 2. Let s be o(1). Let j = s - -39. Let c = j - -31. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/3 + -1\/6. What is the second biggest value in -0.1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254 - -65.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) 2\/7 (b) 3\/4 (c) 0 (d) 3 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-80)\/3*22. Let q = j - 263. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -167176?\nAnswer: 167173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -253226?\nAnswer: 253232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 52*l**2. Let x(w) be the second derivative of -5*w**4\/12 - 25*w - 3. Calculate n(x(t)).\nAnswer: 1300*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 3*y + 6*y)*(2 + 3 - 6) + 1869 + 0*y - 3937 - 2386 - 2201 - 2*y.\nAnswer: -y - 6655","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.280027s to weeks.\nAnswer: 0.0001178571875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 266426756 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1)\/2 - -5. Suppose 4*k - 12 = -0. Suppose v = 5*z + 10, 3*v = 3*z - 0*z + 18. Solve t = -k*i - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511999 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 122171.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331337381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n + 3. Let v(o) = -o**3 + o - 1. Let i(u) = 2*u**3 - u**2 - 2*u + 4. Let z(d) = n*i(d) + 6*v(d). Factor z(k).\nAnswer: -2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(21*12\/4158)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.9 - -54.90000549. What is u rounded to seven dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25189.\nAnswer: 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x + 46. Let c(h) = h**2 - 403*h - 5. Let w be c(0). Calculate a(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2*(-156)\/(-8)*8\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*y**3 - 1227289*y**2 - 65700053*y wrt y.\nAnswer: -186*y - 2454578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7))**(3\/2)\/((m\/(m\/m**0))\/(m*(m\/(m*m*m**(-7)*m))\/m*m)) assuming m is positive.\nAnswer: m**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -52?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -1 (c) 62\/12207 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560 and 7532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, 36, -4, -3096, -1\/53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (4 - (25 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34788755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(26975\/250)\/(-83)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*h. Let x = -2 + 11. Suppose x = 3*y - 6. Solve -h*c = p - y*p + 26, 10 = -2*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16438014 and 612?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2280 + 2290. Factor -5 - 25\/4*x**2 + 5\/4*x**3 + g*x.\nAnswer: 5*(x - 2)**2*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1344 and -5\/15424192.\nAnswer: 46272576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 + 8*c**3 + 3*c**3 - 17*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 46*y + 12 = 0. Solve -y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g - 42*g + 36*g as c + t*g and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/14? (a) -2\/7 (b) 1658 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 2. Let q(s) = -12*s + 16*s - 3*s. Calculate -l(x) - 4*q(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/6)\/(((-28)\/(-63))\/4). Let w = -68 - g. Suppose 0 = 5*m - 6*p + 3*p - 8, 0 = -4*p + w. Solve x = 2*x + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2829 at least as big as -2824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3324 - -3323.99999099. What is t rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -101*c - 10175. Give z(-103).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 252 - 117 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2404 - -12077\/5. Let i = -19 + n. Calculate the common denominator of i and -1 - 186\/16*-1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x. Let i(d) = 2*d - 8418. Give i(f(n)).\nAnswer: -42*n - 8418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001111001001010111 + -10011?\nAnswer: 1101001111001001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44991308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 1189122*i**2 - 107039205*i + 2408518800 = 0.\nAnswer: -396464, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -256, -249?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, 9, 5, -27, 0.1, -51.3 in increasing order.\nAnswer: -51.3, -27, 0.03, 0.1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 + -23. Does 41 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -106*t**3 + 2*t**2 + t + 5. Let d be a(-5). Let z = d - 1472. Let h = 260127\/22 - z. Calculate the common denominator of h and -65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:29 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p**3 - p**3 + 5*p**3 - 5*p**3 + (3*p + 2*p**2 - 3*p)*(-2*p + 0 + 0) - 4*p**3 + 0*p**3 + 3*p**3)*(9*p**2 + 19*p - 19*p).\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 258*m**2 + 9919*m + 257. Calculate k(160).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 6*v + 7*v - 28*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -6*k + 10*k. Let z be ((-15)\/25)\/((-42)\/(-1666)). Are z and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1335 + -1326. What is the remainder when (-121)\/33*-1*12 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 136 = -21*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 597 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*g**3 + 0*g**2 - g**2 + 5*g**3 + 0 to h*g**3 + q*g**2 + a*g + v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15970018 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79455, 79457, 79459?\nAnswer: 79461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40310863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 6. Let z be c(-6). Let q(u) = 0 + z + 7*u - 4 + 1. Determine q(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -1.8, 3\/4, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 245 + x**3 + 238 - 476. Let q(v) = -v**3 - v**2 - 6. What is 6*l(d) + 7*q(d)?\nAnswer: -d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 101, 154, 229, 332, 469, 646, 869?\n\"Answer: c**3 + 2*c**2 + 24*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2*(-5)\/(-20)). Let v = -8 + 12. Suppose -2*o = -4, -2*p + 142 = 3*o - v*o. Calculate the greatest common divisor of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/10080 + f**5\/30 - f**2. Let b(t) be the third derivative of p(t). Let m(l) = l - 2*l - l. Determine b(m(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648\/36*-1*14\/(-6) is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185050321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v + 2. Let o(r) = 3*r. Determine 2*m(y) - 14*o(y).\nAnswer: -16*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -361676013941.\nAnswer: -361676013937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + -5 + (sqrt(192) + 2*sqrt(192) - sqrt(192)) + sqrt(192) + 5)*-4 + 1)**2.\nAnswer: -1728*sqrt(3) + 27729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + (-33)\/7. Let b = -43\/6 + 227\/30. Let d be (-5)\/2 - -2*1. What is the closest to b in 2\/7, w, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7558009966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*j**3 - 46 with respect to j.\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(450)\/sqrt(9)*-2)**2.\nAnswer: 100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59a4 (base 15) to base 3.\nAnswer: -222010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27240 divided by 227\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2928 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -7a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1652*j**2 - 25*j - 24. Let t be c(-15). Suppose t - 152451 = 12*i. Round i to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**4 + 160*v**3 - 9600*v**2 + 256000*v + 102. Factor p(l).\nAnswer: -4*(l - 40)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -13, 2, -2, 4 in descending order.\nAnswer: 4, 2, -2, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72)*-2)\/sqrt(6) + 3)*-4*-5.\nAnswer: -80*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3301969179.99999902 + 3301969146. Let j = 34 + h. Round j to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*u - 19 - 7, -5*u + 2*r = -34. Let l(s) = -3*s - 27. Let o be l(-11). What is the highest common divisor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 15. Let r be b(0). Let i be 20\/(-8)*((-36)\/r - -2). Let n(q) = 5*q - 5. Let u(h) = -h + 1. Calculate i*n(j) + 3*u(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14408*a**3*p - 3*a**2 - 538*a*p - 4*a wrt a.\nAnswer: -86448*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 152*c + 110 = -150*c, 3*c - 67 = -m. Solve -59*n + 10*n - m = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 465 = -517. Calculate the remainder when 452 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26216\/1017)\/(-58)*(-4)\/(32\/51)\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000010 (base 2) to base 9\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2103? (a) -1\/2 (b) -1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 - (11 + (-36 - -6) - 22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 2008*t + 4000.\nAnswer: 4*(t - 500)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 2*s, 5*u = -3*s - 42 + 25. Let c(l) = -3*l**2 - 14*l + 47. Determine c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 10*k**2 + 25*k - 49. Calculate the remainder when z(-13) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let q(p) = -p. Let r be q(-2). Solve -11 = -y + n*v, -2*v - 3 = -r*y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*s**3 + 17*s + 24452 wrt s.\nAnswer: -57*s**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 7. Let c be s(5). Suppose 3 = -3*x - 3*w - 2*w, c*x = -5*w - 7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -46, -96, -176, -292, -450, -656, -916?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -5*(-4*2*sqrt(1900) - sqrt(1900))) + -2)**2.\nAnswer: -1800*sqrt(19) + 3847504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 88573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*k**5 - 367*k?\nAnswer: 540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/8 + h**4\/4 + 3*h**3\/8 - h**2 + h\/2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.53 times -1.89?\nAnswer: -1048.0617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-1350)\/(-7776)))\/((-30)\/(-75)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*i + 46, -y + 7*i - 2*i = -28. Calculate the remainder when 48 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (744\/(-155))\/((-4)\/(-10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 412.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20066107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 12. Suppose x + 36 = -2*x. Let u be n(x). Suppose u = 6*y - 99 + 21. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 636 - 361. What is the lowest common multiple of 4 and b?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*a**2*k + 5172489*a**2 + 274695*k wrt k.\nAnswer: 13*a**2 + 274695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l**2 + 83*l**2 - 1 - 98*l**2 + 3 - 140*l**2.\nAnswer: -213*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 91 = 16*s. What is the nearest to 6\/13 in -0.1, -5, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*f + 3*q, -4*q = -f - 2 - 11. Suppose -51 = 3*d - o - 245, -d + f*o + 70 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a45 (base 15) to base 11.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/1175 - -8243\/10575. What is the common denominator of -76\/3 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 258, 254, 248, 240, 230?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/6 - 149*t**2\/6 + 5015*t\/6 + 28925\/6 = 0.\nAnswer: -5, 65, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -139 and -5024.675.\nAnswer: -5163.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((-6*-5*sqrt(68))**2 - (-6*-3*sqrt(68))**2)).\nAnswer: -39167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*-10*(-560)\/175\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:25 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 22\nAnswer: 79\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-9 + 7 + -1)\/3. Solve -s = z - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q + 185. Let d(x) = x**3 + 3*x**2 + 3*x + 3. Let b be d(-4). Let j = b - q. What is the lowest common multiple of j and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 + 1759508*r**4 + r**3 - 3780*r**2 + 3123*r wrt r.\nAnswer: 120*r**2 + 42228192*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -1 + 23 + -84\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - 2 - (37 + -21 - 11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 37, 45, 67, 109, 177, 277, 415?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6 + 2. Suppose -5*y - d + 38 = 0, -4*d + 72 = 40. Let x(t) = -2*t - 4. Let h(f) = 2*f + 3. Give p*x(z) + y*h(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-931)\/(-784)*-16*4\/(-19)*-4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19380 and 22669755.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + 0 + 4*x - 30.\nAnswer: -38*x - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**(-6\/5)*g))\/g)\/g**1*g\/(g*(g**4*g)\/g)*g**(1\/8))\/(g**(-1\/56)\/g**(-1\/24)) assuming g is positive.\nAnswer: g**(-3107\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 147, 148, 149?\n\"Answer: v + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 118. Solve t*m - 9 = -4*v + 31, -2*v = m - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -u + 58. Let s(c) = -2*c - 2 + 0*c + 4*c - 5. Let z be s(12). What is the highest common divisor of z and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (7 - 16) - (-4 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose -f + j = 2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26938503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106, -214, -318, -418, -514, -606, -694?\n\"Answer: 2*h**2 - 114*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, w: 2}. What is prob of sequence eww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1\/3)\/(4\/202116))\/1. Suppose -22745 = -12*b + f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1313681?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34578 + 34610. Solve l = 5*l + u for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*l + 1. Let w = l + 14. What is the greatest common factor of 65 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*h, -385*h = -j - 380*h + 13. Solve -3*s + 4*o = -3 + 7, 0 = -j*s - 4*o + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 5*d + d + (-3 + 1 + 3)*(-d + 0 + 0) - 21*d + 34*d - 159*d + 0 - 10 - 2*d + 2)*(-2 + 4 + 0)*(1 - 2 - 1) to the form h + v*d and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**2*w - 203*r**2 - 631*r*w**3 + r - 1 with respect to w.\nAnswer: 3*r**2 - 1893*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 181\/5. Which is the nearest to -1? (a) 3 (b) -2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-24))\/(-24 - (-17447)\/730)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 98*o + 36*o + 38*o + 0 + 1.\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2584386?\nAnswer: 2, 3, 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -288*t**2 - 132*t + 125. Give z(1).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459172?\nAnswer: 2, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 149 * 4\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let j(h) = -13 + 20 - 7 - 560*h - 1 - 116*h. Give j(l(k)).\nAnswer: -676*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 + 4*q - 7. Let h be m(-5). Let n(o) = -22*o**3 - 4*o**2 - 3*o - 1. What is the hundreds digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 55, 127, 227?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1158957 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-7))*i*i\/i**(-5\/2))\/(i*i**(2\/3)*i**3) assuming i is positive.\nAnswer: i**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68861573.\nAnswer: 11, 29, 139, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -11\/2 (c) 0.5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 508 and 889?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:12 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.362 * 1.2\nAnswer: -1.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1893.456 + 1895. What is b rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/(-4606) + (2412\/48)\/(1410\/4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/56 and 81\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**2 + v**2 + (3*v + 0*v - 4*v)*(-3*v + 0*v + 2*v) + 4*v**2 + 0*v**2 + 0*v**2 + 0*v + 0*v + 2*v**2 - 2*v**2 + v**2 - v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 472?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7595 * 0.0175\nAnswer: -132.9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 14 + 0*z - 111 + 2*z.\nAnswer: -z - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:48 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/28 - (-8 - -12 - (-7395)\/(-7)). What is the highest common factor of b and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/693835 and -53\/10615?\nAnswer: 7632185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 42. Is (-8)\/u - (-914)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-4 - (-6)\/(-6)))\/(-6*(-9)\/(-3060))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 5*j + 11. Let v(r) = -r**3 + 9*r**2 - 7*r - 7. Let p be v(8). Suppose -2 = -3*o + p. What is the remainder when j is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -12, 4\/9, -2.9, 0.034 in ascending order.\nAnswer: -12, -2.9, 0.034, 1\/3, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/(-1) + (-240)\/192. Which is the third biggest value? (a) 1 (b) -3 (c) n (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 10*o + 15. Let a be v(-5). List the prime factors of (-24)\/10*(-650)\/a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 1, a: 1, c: 3, t: 1, w: 2}. What is prob of picking 1 t, 1 l, and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-32) + 4\/(32\/10). Which is the fourth biggest value? (a) l (b) -3 (c) -0.2 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23645 + 46666.40961.\nAnswer: 23021.40961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-8\/9))**24 assuming i is positive.\nAnswer: i**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(12\/96*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*l**2 - 2\/5*l**3 + 2\/5*l**5 - 2\/5*l**4 + 0*l.\nAnswer: 2*l**2*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*f - 138*f - 138*f - 130*f - 1 + 3*f**3.\nAnswer: 3*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -j + 4*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -23, -12, 15, 64, 141, 252, 403?\n\"Answer: r**3 - r**2 - 3*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220200 (base 4) in base 7?\nAnswer: 10362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-184))\/((-28)\/(-272)*8\/28)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 41. Let t be (-3 - 3)\/(-3) + (-4 - -2). Suppose t = -4*c + 8*c + 64. Are i and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - k + 12*k in the form b*k + r and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + 48\/(-27). Let d be (-1)\/(m + (-20)\/(-12)). Let k be d + -4 + (2 - 1). Solve k + 4 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-46)\/40*60\/8 and 45\/6*(-133)\/(-462).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 79. Let g be t(-10). Suppose -5*n - 160 + 5 = 0. Let h = g - n. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-3 + o + 3)*(4 - 2 + 1).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1571 - 1602) + (20 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-2))\/(3120\/(-7072))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -418*m. Let f(r) = -r**2. Determine u(f(g)).\nAnswer: 418*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (214\/(-24) + 9)\/((-6)\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:38 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -230450532 (base 6) in base 15?\nAnswer: -58a54e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252742400 divided by 4352.\nAnswer: 58075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591822603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 204384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 2. Calculate z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319 - -0.5?\nAnswer: -2318.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/20 + 1\/10. Let p = 47881 + -622454\/13. What is the smallest value in 0.4, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 8 + 20. Does 7 divide (0 + -6)*(-28)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3128 - -4?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + (-34)\/(-9). Let w(i) = -i - 3. Let o(b) = 1. Let c be 2\/3 + (-5)\/3. Let x be c*1 + (-24)\/(-8). Calculate g*o(u) + x*w(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*t + 44369 - 10379 = -166*t - 54*t for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose -l + 0*s - s = -y, -3*l + 5*s = 15. Factor 64\/9*v**2 + 98\/9*v**4 + 8\/9*v + 154\/9*v**3 + l.\nAnswer: 2*v*(v + 1)*(7*v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 218 = 190 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(72) - (sqrt(11) + (-2 + sqrt(11))*-5))*-6*-1.\nAnswer: -60 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 17*f - 122. What is d(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1db65 (base 14) in base 13?\nAnswer: 2898a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*q - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*x**2 + 1137*x**2 + 1422*x - 1422*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -148. Let i(q) = q**3 + 8*q**2 + 6*q - 7. Let p be i(x). Solve -3*v - 4*c + 7 = -p*v, 3*v + 3*c - 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -374222 and -54.\nAnswer: -374276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.3494243327381 and -0.1?\nAnswer: 2.2494243327381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1317 + 780. Let t = -242 + 257. List the prime factors of x*((-11)\/t + 10\/25).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242543.5282 + -6.8?\nAnswer: 242536.7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234*r = -7*n - 2229*r - 63, 0 = 4*n + 5*r + 36 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 8:25 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**8\/168 + c**7\/35 + c**6\/60 - 11*c**5\/30 + c**4 - 4*c**3\/3 + 1180*c**2. Suppose o(z) = 0. What is z?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031040 (base 5) in base 4?\nAnswer: 20013312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v**2 + 6*v - 6. Let c(z) = -33*z**2 + 11*z - 11. Give -6*c(s) + 11*r(s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 - h - 3. Let o be j(0). Are 0 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5691 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 9*y**2 + 5*y - 8. Let m be p(15). Let g = m + 20557\/16. Calculate the common denominator of g and -133\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((60\/9)\/(-10))\/(4\/(-30)). Suppose 2*p + 117 = l + 958, -3*l = -c*p + 2105. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u = 18*o - 28*u - 30, -u = -14*o + 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from eoxexvxoxxexex.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62874 and 504?\nAnswer: 251496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 15) to base 10.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60865019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1 + 2 - 5 + 6*c. Let q be (-1)\/3 - (-80)\/24. What is the units digit of h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 248442847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4501\/5 - 896. Factor -33\/5*s - x*s**3 + 48\/5*s**2 + 6\/5.\nAnswer: -3*(s - 1)**2*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 11*f - 6*f. Which is the nearest to 2? (a) 0 (b) f (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**17)\/j))\/((j*((j\/(j**(-1\/2)\/j))\/j*j)\/j*j)\/j))\/((j*j**6)\/j)**39 assuming j is positive.\nAnswer: j**(-505\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159652 or 159654?\nAnswer: 159654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40583*q + 40582*q - 16 + 3 + 13.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, 0.1, -1\/5, 0 in decreasing order.\nAnswer: 0.1, 0, -1\/5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmyymymmyyy. What is prob of picking 2 m and 2 y?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*g = -0*z + 3, 3*g = -z - 9. Put 1, -4, -1, z in increasing order.\nAnswer: -4, z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = b - 30, 6*j + 56*b - 179 = 51*b for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30342142 (base 5) in base 10?\nAnswer: 246547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8986 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(-32)\/(-40) - (-18955)\/595?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(180) + sqrt(180))*-3 - sqrt(180))*-3)**2*-3 + (-4 + ((sqrt(160)*-1)\/sqrt(8) - sqrt(100)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: -238044 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:18 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 217*i - 217*i.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 32 = -4*x, x - 18 = 27*t - 22*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188221 divided by 5.\nAnswer: -188221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 6458 + 6458. Factor x*p + 0 + 3\/8*p**2.\nAnswer: 3*p**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + -27.83. Let j = -26 - u. Let k(w) = -5*w**2 + 1. Let i be k(-1). Which is the nearest to -0.3? (a) i (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/28 and 29\/12012.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 684306 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 5.\nAnswer: 173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1369 + 39699\/29. Let l be (2 - 1) + (-3)\/6. Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5062 (base 9) to base 14.\nAnswer: 14c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(60\/(-2400)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 127*s + 2206 = -302 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-3))\/(5\/555)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 5, 31, -830 in descending order.\nAnswer: 31, 5, 0, -1, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203092?\nAnswer: 2, 50773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:30 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.891 + 0.109. What is the third smallest value in r, 1, -1\/2, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 9) to base 15\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2553 - 2357. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110868, 443502, 997892, 1774038?\nAnswer: 2771940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3276\/35 - 1 - 3\/5 is divided by ((-4)\/(-6))\/((-32)\/(-1776)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -1575\/11. Suppose 22*g + 95 - 7 = 0. Put 4, b, g in descending order.\nAnswer: 4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m + 2238 - 38*m**2 - 5918 - 3*m + m + 255*m**2 wrt m.\nAnswer: 434*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*s - 107 + 67*s + 107 + 68*s + 74*s - 320*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 + -291. Suppose -5*v = 4*x - 147, -y*x - 2*v + 74 = -3*x. Calculate the remainder when 186 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383489.7004 + -382378. Let w = 1090.7 - z. Let c = w - -21. What is c rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 42486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 14*r**2 + 15*r - 10. Let v be c(-12). Suppose v = 4*t + 42. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*n*o + b**2*o**2*v + 26*b**2*o*v + b**2*v + 29*n*o**2*v - 4*o wrt o?\nAnswer: 2*b**2*v + 58*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 27, -5 in decreasing order.\nAnswer: 27, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -13 + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from cppcpceccpcyllccppp.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 2 + 0*v**3 + 0*v**5 - 3\/4*v**4 + 0*v + 1\/2*v**6. What is u in g(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = a + 60. Let n = a - -1002. What are the prime factors of n?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a**0)\/(((a*a*((a*a*a**(-2\/3))\/a*a*a)\/a*a)\/a)\/a)**(-6) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzzb when four letters picked without replacement from zbzzb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11141140 (base 6) to base 15.\nAnswer: 6aa53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6890220 a multiple of 1212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 7, 5, -18, -38 in decreasing order.\nAnswer: 7, 5, 0, -4, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2120796)\/(-372) - (-12)\/(-186) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9510 = -4*u, 5*u - 3*q - 11882 = -0*u. Let o = -92696\/39 + u. Let i = o - -2\/13. What is the closest to -1 in -1, 1\/13, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**5 + 0*u**2 + 0*u**2 + (-3 - 1 + 2)*(82 - 33*u**5 - 82).\nAnswer: 76*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - j + j + (-j**3 + 2*j**3 - 3*j**3)*(3 - 6 + 1) + 2*j**3 - 4*j**3 + j**3)*(21*j - 21*j + 7*j**2).\nAnswer: 35*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-84)*8*(-5)\/20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/2)\/(-17 + 676\/40))\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5056 = -3*b, -2*b + 3372 = 6*d - 4*d. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**3 - 9*o**2 - 7*o - 567. Let t(j) = 4*j**3 - 4*j**2 - 3*j - 284. Let q(m) = 2*k(m) - 5*t(m). Does 13 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 228. Which is the smallest value? (a) -10 (b) j (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -123, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 8*k**2 + 2*k - 1. Suppose -224 = 4*b + 3*c - 6*c, 122 = -2*b - c. Let m = b - -80. Calculate the smallest common multiple of m and a(8).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvrrvrvvr. Give prob of picking 1 r and 1 v.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let f be (-24)\/(9\/(-3)) - -2. Suppose -2*m - m = -3*k + 9, -2*m - f = 2*k. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1133, 2071, 2943, 3749?\n\"Answer: -33*z**2 + 1037*z + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1493 to 3 dps.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135985752, -271971503, -407957252, -543942999, -679928744?\nAnswer: -815914487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1011*h + 455*h + 1719*h.\nAnswer: 3185*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 588 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, t: 7}. Give prob of sequence ltl.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64549\/4, 0.04, 1\/3 in ascending order.\nAnswer: -64549\/4, 0.04, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -210. Let h = -12 + 4. What are the prime factors of h\/(-28) - c\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:29 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1168 and 15028802.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1 + sqrt(99) - sqrt(99))*-3 - -6*-2*sqrt(99)) + (sqrt(99) - (sqrt(99)*4 + sqrt(99))*6) + 5 + 4)**2.\nAnswer: -492*sqrt(11) + 166423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - 58*l - 13. Let h be o(-8). Put 5, 1, 21, -6, h in decreasing order.\nAnswer: 21, 5, h, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = p, 3*s + 12 = -0*s - 4*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331.573189 + -448919.\nAnswer: -448587.426811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -762612264 divided by -190653066\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -9. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 13*i**2 - 4*i - 40. Determine w(-9).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 24. Let v be k(7). Let c = v - -62. What is the first derivative of c + 4 - 9 + 3 - 3*p wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(27\/(-45))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19))**(-38)*p**(-14)\/p**(2\/13) assuming p is positive.\nAnswer: p**(-236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-12) + (-75)\/(-18). Suppose 0 = -4*y - l*i + 4, y + 4*i - i + 5 = 0. Solve -y*b + 32 - 8 = r, 0 = 4*b - 5*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + y = 11, -3*y = -0*y - 3. Find the third derivative of 780*c**3 - k*c**2 + 3*c**2 - 8*c**2 - 3 - 940*c**3 wrt c.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -3*w + 3*w**3 + 17\/12*w**4 + 0 - 6*w**2 + 1\/20*w**5. Let j be a(-13). What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/32 - 11)\/((-2020)\/1008 - -2) - -14.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from alzmzlz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -4*p + 5*d + 125, 0 = 4*p - 5*d + 127. Is (-8981)\/p + 2 - 3\/4 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 17*g = 85. Differentiate -22*z**3 + 8*z**3 - 12*z**3 - g + 4 wrt z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2429447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1474c - -3?\nAnswer: 1474f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99844453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/9 - -3)*(-360)\/8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -10525524?\nAnswer: -10525520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*-10109734\nAnswer: 10109734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-1)*(-8 + 5). Suppose 0 = 4*j + j - r. Calculate the least common multiple of 2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/11, -298, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + 382 + 1 + -7 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -452904 and -452904 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -0.3 (c) -206767 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -4*sqrt(320) + 2 - (sqrt(320) + 0 + sqrt(320))**2*1) + -3.\nAnswer: -1281 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -80522.3276 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-5)\/(60\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 28 - 113. Suppose 4*o - 3*o - w = 0. Calculate the remainder when 32 is divided by 0 + o\/(3 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x. Suppose 0 = -k - 3*k - 5*a + 8, 3*k + a = 6. Let j(y) = -k*y - 2693*y**2 + 2689*y**2 + 2*y. Determine j(u(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*i - 20, 2*p = 3*i + 13 + 29. Solve 2*s + p = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 39 = 9*s + 11*r + 30, s + 16*r = 11*r - 31 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 679197 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2667 - 24465 = -144196*p + 144424*p for p.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 - 3*c + 2. Suppose 0 = -12*d + 8*d - 12. Determine p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/71775 and 19\/92430.\nAnswer: 147425850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 65*m + 49728 = 0. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/416 and 15\/3584?\nAnswer: 46592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 0.5 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2 - 0. Suppose 0 = 3*h - 5 + f. What is the units digit of -3 + 18\/(1\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 10:22 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440\/55440*1*-1.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82\/3, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-5\/2))\/r**(-1\/4) assuming r is positive.\nAnswer: r**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -4 (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-5 - (-18)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102220223 (base 4) in base 2?\nAnswer: -1000010010101000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhuhhhhhhhhhhhh. Give prob of picking 4 h.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a hour in seconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43\/2, 2\/43, 401 in descending order.\nAnswer: 401, 2\/43, -43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*u + 76837 + 469921, -2187066 = 4*z + 3*u. Let w = -2343232 + z. What is w rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let l(g) = -9*g**3 + 5*g**2 + 3*g + 2. Let b be l(v). Suppose 0 = 5*k - 164 - b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h + 122787*h**4 + 122788*h**4 - 13*h**2 + 2*h**3 + 7 - 245576*h**4 as w*h + y*h**3 + b + z*h**2 + g*h**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w**2 - 1. Let a(d) = -2*d**2. Calculate a(n(x)).\nAnswer: -722*x**4 + 76*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9344.485 micrometers?\nAnswer: 0.000009344485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 2*u - 1, 4*u + 72 = -4*i. Let q = i - -33. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 14*y**2 - 17*y - 8. Determine s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 4. Let c be o(-8). Let t be -3 + (1 - -3) + c\/12. Let j = -4 + 4.6. What is the nearest to j in t, -3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(12) - sqrt(12))**2 + -1 - ((-3*sqrt(75))\/sqrt(5))\/sqrt(5)*-5.\nAnswer: -15*sqrt(3) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*u*v - 1247806*b*u - 2843374*b*v**2 + 2*b wrt v?\nAnswer: b*u - 5686748*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:38 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 44\/124077?\nAnswer: 44\/124077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48 + 24)\/((-3)\/(-4)). Let u = -76 + b. What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 5*u**2 + 5*u + 5. Let v(c) = c**2. Let i(k) = g(k) + 4*v(k). Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8128505 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 2*g**4 + 0*g**4 + (-2*g**2 - g**3 + 2*g**2)*(3*g + 0*g - 4*g) - 3*g + 3*g - 9*g**4 + (g - 2 + 2)*(2 - 2 - 2*g**3) + g**4 + 3*g**4 - 3*g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19*d - 4 - 4 + d**2 + 8. Let g be x(8). Calculate the common denominator of -2 + ((-84)\/g)\/1 and -13\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26b (base 12) to base 16\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:20 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqoq when four letters picked without replacement from {q: 2, o: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 630*t**2 + t + 2. Let y(m) = m**2 + m. Let w(o) = p(o) - 2*y(o). Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26512\/11 - 2413. What is the common denominator of f and 11\/205?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyyymymymyskmyy. Give prob of sequence mm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/13 and 0.146997 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + -1)*1 - (2*sqrt(76)*6)**2.\nAnswer: -10949 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h + 30. Let u(a) = -4*a - 6. Let z be u(-4). Let s = h + z. Calculate the highest common factor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 10*h**2 - h + 12. Let y be s(10). Suppose 0 = r - 3*k - 14, -2*r + 7*k - y*k = -26. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24488, -49045, -73602, -98159, -122716?\nAnswer: -147273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/11 + 5636*d**4\/11 - 96880*d**3\/11 - 1390500*d**2\/11 - 3827250*d\/11 = 0. What is d?\nAnswer: -2835, -5, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -3) + (-2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -427\/18, 18 in ascending order.\nAnswer: -427\/18, 2\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29703, -7, 0.102 in descending order.\nAnswer: 0.102, -7, -29703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 6. Let d(s) = 0 - s - 1 - 3 + 3. Let x(n) = 2*b(n) + 10*d(n). Let z be x(16). Which is bigger: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/120 - u**4\/24 - u**3\/3 + 2*u**2 + 171*u + 1. Let l(b) be the second derivative of m(b). Let x(p) = -3*p. Give x(l(c)).\nAnswer: -9*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 - 4650*p**4 + 1047765*p**3 + 15665680*p**2 - 16708800*p = 0 for p.\nAnswer: -15, 0, 1, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.1 - -21.1. Let m = -3\/29 + -49\/87. Let i = -15\/38 - 2\/19. Put h, m, i in descending order.\nAnswer: h, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*m**2 + 1058*m**2 + 1016*m**2 - 414*m**2.\nAnswer: 1919*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w + 0*w)*((3*w**2 - 2*w**2 - 4*w**2)*(0 - 1 + 2) - w - 2*w**2 + w + (5 - 2*w - 5)*(w - 2*w + 0*w)).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -0.4. Let j = -0.03 + -3.97. Let u = d - j. Which is the nearest to u? (a) 2\/5 (b) -3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1014\/65 + -15)\/((-1)\/(-730)).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 + 1. Let j(u) = -20*u + 7*u + 8*u + 6*u**2 - 5 - u**3. Let x be j(5). Calculate p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*o)*(5*o - 2*o - 2*o) + 9 - 9 + 2*o**2 + (2*o - 4*o + o)*(12*o - 9*o + 3*o) to the form y*o**2 + d + a*o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -19. Let g = -1474 - -3791. Suppose -7*o + w*o = g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36280 and 2264060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -114?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 6765*u**2 + 1718*u**2 + 1 - 7 in the form a + y*u + v*u**2 and give v.\nAnswer: 8483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)**(-3\/10)\/((f*f\/((f\/((f\/f**6)\/f*f)*f)\/f*f))\/((f\/f**(1\/2))\/f)))\/(f\/(f*f\/(f**(-2)*f))*f**3)**(3\/22) assuming f is positive.\nAnswer: f**(2631\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (4 + sqrt(448)*1)) + 5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3194 - 3144. What is the remainder when 207 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least -486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375425297 and 10166?\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 - (-19 - -40 - 25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -2 in increasing order.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19716 and 318000.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/(-80) + 42\/(-336))\/(2\/2290). Which is smaller: -911 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 87450033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*i**2 + 62*b*i - 1908014*b + 18856*i**2 + 2*i wrt i?\nAnswer: 2*b*i + 62*b + 37712*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(57)\/sqrt(3) + sqrt(19))**2)*5 - (sqrt(171) + sqrt(171) + sqrt(171) + -1)**2) + sqrt(209)\/(-2*sqrt(275)).\nAnswer: -1160 + 229*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 11 + 9*n - 10*n - 2 + n**2. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -558*n + 180236. Give x(323).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*l**3 - 97*l**3 - 5*l**2 - 91*l**3 + 6 + 0*l**2 as b*l**2 + t*l + d*l**3 + g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s + 2. Let a(i) = -19*i - 13. Suppose -2*y = 3*d - 20, 2*y - 3*d + 5*d - 16 = 0. Let q be -4*1 + -6 + y. Determine q*a(h) - 39*x(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 - (5 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and 0.6738650819442.\nAnswer: 0.6638650819442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 + 232*l**2 + 2852*l - 15376 = 0.\nAnswer: -31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*b = 12037, -2*r + 24096 = 5*b - 6*b. Suppose -6*p - 4830 = -2*t - 2*p, -5*t + 3*p + r = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -111011011?\nAnswer: -111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470500717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5208952 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2*1\/2)\/(5\/455)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3 + -9*(-17 - 1). Suppose 0*b - 4*j - 165 = -3*b, j + s = 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1890 and 43960?\nAnswer: 1186920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 156. Solve 18 = -53*d + c*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 0*m**3 + m**4 + (m**4 - 4*m**4 + 5*m**4)*(-4 + 1 + 4) - 9*m - 3*m + 8*m - 2*m**3 - m**4.\nAnswer: 2*m**4 - 2*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 0.98361.\nAnswer: 5.01639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1267, -10623, -36031, -85519, -167115, -288847, -458743, -684831?\n\"Answer: -1338*b**3 + 2*b**2 + 4*b + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229864\/25 at most 9196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1706? (a) -0.5 (b) 0.3 (c) 4 (d) 262 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49611924.\nAnswer: 2, 3, 29, 47521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7. Let z(r) = 281*r**3 + 21. What is 12*l(i) - 4*z(i)?\nAnswer: -1112*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1498 and 1284.\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000513 rounded to five dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrcbrbtebrtr. What is prob of sequence cr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 21690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - 1 - v**3 + 3 as s*v**2 + z*v + d + j*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -445*w**2 - 15*w + 116. Let b(z) = -2*z**2 - 5*z. Let l(f) = -3*b(f) + q(f). Differentiate l(y) wrt y.\nAnswer: -878*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4876*l + 7387*l - 175069 + 624562 = -5970*l for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42 - 17*h + 56*h + 250*h - 111 wrt h?\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m - 3. Suppose 9*z - 107 = 415. Let g(b) = -121*b + z*b + 60*b. Calculate a(g(v)).\nAnswer: -60*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 439 - 436. Let h(p) = p**3 + 13*p**2 + 24*p + 24. Let n be h(-11). Factor 0 - 4\/3*k + 10*k**i + 26\/3*k**n.\nAnswer: 2*k*(k + 1)*(15*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13108, -28721, -46838, -67459, -90584, -116213?\n\"Answer: -1252*f**2 - 11857*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = 34. Solve -4*n = -1 + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 + 21083*l**2 + 109320288*l - 19082107044 = 0. What is l?\nAnswer: -10626, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 143549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -14*u - 18. Let c(a) = 26*a + 29. Let y(b) = 3*c(b) + 5*k(b). Determine y(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60810 and 48648.\nAnswer: 243240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16872 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(34)\/sqrt(2))*3.\nAnswer: -6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.45 in 0.3, -0.2, -5, 2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-2574)\/(-55)))\/(70\/56)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3) + sqrt(3) + 3)*3 + 5) + -4*(sqrt(147) - (sqrt(147)*-5*-2)**2).\nAnswer: -22*sqrt(3) + 58814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 0 (c) 3 (d) -2\/5 (e) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63.82 and 254712.8701.\nAnswer: 254649.0501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10)\/(o*o*o**(-6\/11)*o))**(1\/65)*(o*(o\/(o*o\/(o*o*o*o*o**2)))\/o)**(2\/21)*o*o**(1\/7)*o**(-6) assuming o is positive.\nAnswer: o**(-68657\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001331872 rounded to seven dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1009 - -1010. What is the closest to g in 1\/23, 5, -5?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1522299.8 to the nearest 1000.\nAnswer: -1522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9214919 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f - 1. Let r(k) = 4*k**2 - 25*k - 153. Let a(t) = -5*l(t) - r(t). Is a(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 4. Let y be i(-3). Suppose 12*v - y = 13*v. Let g = v - -116. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1786)\/(-94)*-4*(-2)\/(-8)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021113 (base 4) in base 10?\nAnswer: 8791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w - 40 = 0. 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 o = -79 + 79.5. What is the nearest to 0.1 in 0, o, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - n**2 - 6*n**3 - 2 - 11*n**3 - 2*n + 3*n**2 in the form g + u*n + h*n**3 + c*n**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) -3 (d) 12\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivq when three letters picked without replacement from {v: 1, q: 1, i: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loolwoollwlwwlwll. Give prob of picking 1 l and 2 o.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2001 - -9269?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:37 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -16. Let r be ((-6)\/9)\/((-2)\/i). Find the third derivative of 8*c**4 - r*c**2 - 3*c**2 + 0*c**2 wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -248574, -497146, -745714, -994278?\n\"Answer: 2*a**2 - 248578*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 41 (b) -12 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 + 2982\/(-5680)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 51. Let t = i + 25. Let g be (2 + -77)*t\/(-6). What is g rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/15*(-1870)\/44?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -62*p - p**2 + 157*p - 56*p - 52*p = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:56 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/(sqrt(21)\/sqrt(3) + sqrt(7))*2)\/(sqrt(1728) + -2*sqrt(1728)) + 5)**2 + -3.\nAnswer: -5*sqrt(11)\/12 + 12683\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -25. Calculate the smallest common multiple of y and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(7\/(-21) + (-20)\/(-6)). Let m = -12 - 72. Let l be m\/(-21) - v*-1. Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10 + 16 + 11)*(k - 6*k + 3*k) + k - k - 2*k)*(-6 + 1 - 1).\nAnswer: 216*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l)*(-416 + 526 + 1146)*(l - 2*l - 2*l)*(-l + 0*l + 2*l).\nAnswer: -3768*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -23*u**2 - 10*u + 211. Let w(o) = -28*o**2 - 9*o + 210. What is 6*a(b) - 5*w(b)?\nAnswer: 2*b**2 - 15*b + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t**2 + 13*t**2 + 52*t**2 to the form x + z*t**2 + k*t and give z.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8268 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 94 - 52 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -9. What are the prime factors of 2 + c + 4\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 260. Give r(26).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 245 and 5761?\nAnswer: 201635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 456\/55409 or 0?\nAnswer: 456\/55409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4694398 kilometers in meters?\nAnswer: 469.4398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7486 is divided by 1247.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5226*u + 1 + 0 + 0 + 5232*u. Let g(q) = -7*q - 1. What is -2*g(n) - 3*o(n)?\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(11\/((-22)\/(-6))). Let n be 12\/3 + (5 - (t - 8)). Which is smaller: 35\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwxwwwqxqxwxwqq. What is prob of picking 3 x?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*c - 4, 0 = 4*c - 2*q - 3 + 11. Let n be (34\/1105)\/(c\/(-50)). Are n and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 152 = 4*l, -3*p - 2*l = p + 124. Let u = -7 - p. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 + 65*s + 248. Give q(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/960 - 28\/210?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1359525730 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 3\/8, -7\/25, -11?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/12 - j**3\/3 - 6*j**2 - 532*j. What is a(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(k - 4*k + k) + 25*k - 2*k - 9*k + (18 - 10 - 9)*(k - k - k) to w + f*k and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-30)\/(-4))\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k - 8*k + 22*k.\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 258 = 5*i, 4*i = g + g + 210. What is the remainder when 251 is divided by i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1724572*w**4 + 1732484*w**2.\nAnswer: -41389728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*4*1*(3 + (-2 + sqrt(272))**2 + ((sqrt(272) + -2 - sqrt(272))*5 - sqrt(272))).\nAnswer: -16140 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 2:20 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 + w**2\/2 - 5*w - 23. Let g be k(0). Let c be -4 - (9\/(-3))\/3. Sort c, 1, g in ascending order.\nAnswer: g, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101111111 - -11?\nAnswer: 110110110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1679*h + 6321 = -3159*h + 86323 + 19158 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225611?\nAnswer: 225611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3506028775 - 47976\nAnswer: -3506076751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, l: 2, z: 9}. What is prob of sequence zz?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-6)*(-4)\/30*-6. Suppose -2662 = -w*o + 1880. List the prime factors of o.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 122100?\nAnswer: -122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-31)*c)\/c*c*c*c**(-6\/13)\/c)\/(c**(-31)*c\/c**(-1\/6)*c))**(-45) assuming c is positive.\nAnswer: c**(-71805\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62546485 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1124.5353 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*g**2 + 39*g**4 + 3*g**3 - 21*g**4 - 61*g**2 to x*g**4 + i*g**2 + a*g**3 + r + f*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 325 (c) -1\/9 (d) 0.2 (e) 10 (f) 1\/4 (g) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(55) + (sqrt(55) - (sqrt(55) - sqrt(165)\/sqrt(3)) - sqrt(55))))\/sqrt(180).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1426.7? (a) -1\/23 (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -3*n - 13, -2*z = -5*n - 17. Let k(f) = f**3 - 7*f**2 - 3*f + 5. Let m be k(z). What is the units digit of (-3)\/(-7) + (-420)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 - -1.2. Let u = q - 6. What is the second smallest value in 1\/4, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + d - 4 = 0, 3*z + 3*d + 0*d = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1863, 6520, 11177, 15834, 20491?\nAnswer: 25148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhp when three letters picked without replacement from hxhbbpqbjqjq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4504 and 1126?\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/67732896 and -155\/29028384.\nAnswer: 203198688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3) - -2 - (-208)\/6. Let z = h - 10. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 332645872 - -2?\nAnswer: 332645874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3c36 (base 14) to base 8\nAnswer: -24610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 19}. Give prob of sequence nn.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897006 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*p - 153*p - 142*p - 144*p - 151*p - 154*p - 149*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, -2, 4, 0.\nAnswer: -2, 0, 4, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxawwaww. Give prob of sequence aw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 1. Let i be f(2). Let g(o) = -o**2 - o + 5. Let b be g(2). Sort i, b, 2 in ascending order.\nAnswer: b, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*s - 4*g, 0 = -3*s + 4*g - 2 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*-3*(2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23, 5, -231 in increasing order.\nAnswer: -231, -4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-2 + -4 + 1*sqrt(2057)*-1))**2.\nAnswer: 3520*sqrt(17) + 52449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.378 and -0.2?\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + (33 + 4 - 30 - (-2 - -12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -0.7. Let s = 0.8 - n. Let c = 47\/6 - 137\/18. Is c greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 4. Give a(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/4 - 7*x**3\/6 + x**2\/2 + 2*x. Let h be 0\/(-1) - 42\/(-7). Is l(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.6 - -41. Which is the nearest to -2? (a) 5 (b) 816 (c) 1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72965, -73075, -73355, -73889, -74761, -76055, -77855, -80245?\nAnswer: -83309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317867?\nAnswer: 3, 439289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q - 7. Let z(o) = 23*o + 12. Calculate -5*p(j) - 3*z(j).\nAnswer: -9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*d**5 + 7*d**4 + 54*d**2 + 813*d + 187.\nAnswer: 1200*d**3 + 84*d**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6585.861 + -6765.2. Let j = q - -178. What is j rounded to 2 dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h + n - 7, 3*h - n - 3 = 0. Calculate the remainder when 7 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4731 at most 4731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 2*i + 7. Let g be b(3). Suppose u + 6 = g*u. Factor 3*z**4 + 8*z + 6*z**3 - 2*z**2 - z**u - 14*z.\nAnswer: 3*z*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22211 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 1 = -5*u, -3*u + 11 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -17*j - 355. Determine s(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 3*g - g + (1 - 1 - 1)*(-1 + 1 + 2*g) + (-48 + 41*g + 48)*(6 - 8 - 9) - 26*g - 16*g + 14*g as q + k*g and give k.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2.14, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4224 and 45848.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4\/5 - 15946*l**3\/5 + 15942*l**2\/5 = 0. Calculate l.\nAnswer: 0, 1, 7971\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40112*2968.\nAnswer: -119052416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 6. Let a = -2 - y. Suppose 0 = 5*c + 4*n - 14, -5*c - n + a + 8 = 0. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238447932 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: Express u**3 + 474 - 3*u**3 - 3941 - 884 in the form l*u**3 + g*u**2 + a*u + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, -6, -1, 2, -1856, 1.\nAnswer: -1856, -6, -1, 1, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 447, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**3 + 145*u**3 - 30*u**3 - 32*u**3.\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/(z\/(z\/(z*z**(-2\/15)*z*z)*z))*z**(-2)\/(z\/(z**(-1\/10)\/z)))\/((z**(-3\/10)*z*z*z\/z**(-6\/5))\/((z**(2\/15)\/z)\/z*z**(-2))) assuming z is positive.\nAnswer: z**(-296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(968) + -1 + -4 - (4 + 1*(0 + sqrt(392)))) + -3)**2*-3.\nAnswer: -972 + 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4279.\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/819520 and 57\/117412.\nAnswer: 122108480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 6*p**2 - 9*p + 8. What is k(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5746.\nAnswer: 5\/5746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(54)\/sqrt(9))\/(sqrt(27)*-1 - sqrt(3)))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 231890 and 59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (892\/(-6) + 0)\/((-51)\/153). Suppose -m = -12*h + 418. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-7)\/o)*o)\/o**(-13))\/(o**(-4)\/o)**21 assuming o is positive.\nAnswer: o**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -109*l**3 - 3*l**2 + 9*l + 6. Let v(m) = 110*m**3 + 4*m**2 - 10*m - 8. Calculate -4*a(h) - 3*v(h).\nAnswer: 106*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*w - 1254*w - 675*w - 2503*w + 124*w.\nAnswer: -4482*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3896 divide 1193449992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8045 + 8044.7. What is the nearest to 2 in a, -3\/4, -131?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719644627 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24 - -9 - -12)*-1. Solve 5*n - 26 = 10*n - 4*u, -5*n - f*u + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -74, -128 in decreasing order.\nAnswer: -1, -74, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 35*c**2 - c - 17*c**2.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424953 is divided by 47134?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 58 = 4*y - 53, -4*x = -3*y + 60. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 130*u - 1419. Calculate z(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/972016 and -61\/1215020.\nAnswer: 4860080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 347175 and 5625.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5558*j**2*o**3 - 6669*j**2*o**2 + 11*j**2*o - 6*j*o**3 + o**2 wrt o.\nAnswer: 33348*j**2 - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 - (-6)\/(-4))\/((-10)\/(-60)). Solve b - 3*m = 2*b + 4, 0 = 3*b - t*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (102\/136)\/(66\/22864). Let x = l + -260. What is the biggest value in x, 0.5, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/50958 and 41\/42.\nAnswer: 356706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Suppose -x*o + 2*p = -10, 0*o + 2*p - 14 = -4*o. Solve o*l = -l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/11)\/((-7680)\/2304)*10.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130052.\nAnswer: 2, 13, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 41238675?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k. Let s be x(2). Suppose 3*v - b = -3*b - 5, 0 = 2*v - 4*b + 14. Let c be (-439)\/(-4) + v\/(-12). What is the highest common factor of s and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/(-3) + ((-6)\/(-2) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, a: 6, q: 7, h: 1}. Give prob of sequence ho.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = y - 4*y - 8, 2*y - 2 = -3*h. Suppose 0*f + f = h. Which is the second smallest value? (a) 3 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161604415.\nAnswer: 5, 7, 4617269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/((-1)\/(-21)). Let x = -84 - -103. Suppose -x*n = -20*n + 63. Calculate the greatest common divisor of n and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8*j - 6. Which is the nearest to -1\/4? (a) -1\/5 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/11)\/u)**34 assuming u is positive.\nAnswer: u**(-340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320*d - 762*d + 92*d - 812*d + (-2 + 5 - 2)*(d - 2*d - 6*d) to the form o*d + g and give o.\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*y - 19, -72*y + 3*l = -73*y - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/343 and -58\/49?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226829221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 7524 = 29*f. List the prime factors of f.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 0\/(-8 + 4 + 2). Suppose -19*a = -j*a - 7570. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1354 and 42?\nAnswer: 28434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2. Let f be 2\/(6 - 902184\/150366). Let y(m) = -f + 66*m**2 + 25061. What is y(n(q))?\nAnswer: 264*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-93 + 50)*(1 - (-608)\/(-4)) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 + 3*o + 11. Give u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1\/4, -1\/6, 1\/5, -1\/5.\nAnswer: -1\/4, -1\/5, -1\/6, 1\/5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 13 - (9 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 3*r**3 + 4*r**3 + 3*r**3 + 0*r**3 - 2*r**3 + (4 - 4 + 2)*(-r**3 - 4*r + 4*r) + 0*r**3 - 4*r**3 + r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-54)*(-3)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -27, -3, 45 in decreasing order.\nAnswer: 45, 5, 2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y - 17. Let k be a(-4). Suppose -k*n + 186 - 54 = 0. What is the least common multiple of n and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {h: 6, m: 1, l: 11}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7712.869 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -110886 (base 9) in base 2?\nAnswer: -10000001100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -19 + 11*u + 4 - 6 + 4*u**2 - 9*u**3. Let o(j) = 10*j**3 - 4*j**2 - 10*j + 22. Let s(h) = -5*o(h) - 6*x(h). Let s(b) = 0. What is b?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 8*l + 11. What are the prime factors of s(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - t - 25. Let k be q(6). Let h be (-2 - 6) + k + -809997. What is h rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 66 = 2*g + 4*y, 5*g = -5*y + 170. Let b = 8 + -4. Suppose -g = -v - b*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*x**4\/5 - 7371*x**3 - 86358*x**2\/5 + 13404*x\/5 - 504\/5 = 0 for x.\nAnswer: -14, -3, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -800, -2639, -6222, -12131, -20948, -33255?\nAnswer: -49634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -102, 113, 800, 2181, 4478, 7913, 12708?\nAnswer: 19085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 81*b\/4.\nAnswer: 3*b*(b - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (179 - 11) + (-57 - 36)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 716340, 1432677, 2149014, 2865351, 3581688, 4298025?\n\"Answer: 716337*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(80))**2 + sqrt(40)\/sqrt(8)*3 + 0.\nAnswer: 3*sqrt(5) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32255 + -3474. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.399 minus 465264?\nAnswer: -465265.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 37 = -333. Let p(n) = 5*n + 12. Let j be p(6). Let b = z + j. Solve b*k - 3 = -13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798964 is divided by 153.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-11) + (415372\/22 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9272, -8299, -6674, -4397, -1468?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = -15089*z + 7555*z + 7559*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 22, 10, 16, 46, 106, 202?\n\"Answer: w**3 - 31*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2995 + -1105. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20047 and 4.8?\nAnswer: 96225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 0.01673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-7 - -10)) + 5 - (-7 - -16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.3 (b) -1 (c) 0.15 (d) 47 (e) 65 (f) -5 (g) -261\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451123 is divided by 150371.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -3 + 6 + (18 + -32 + 20 - -33).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 528 - 348. Suppose 26*l + f = 31*l. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-8))\/((-1)\/(-2)). Suppose 15*a = 14*a + 5. Sort 0, a, j in decreasing order.\nAnswer: a, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191449\/24 + 7979. What is the common denominator of j and -68\/57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34641480.\nAnswer: 2, 3, 5, 288679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/2520 + i**6\/80 + 7*i**5\/120 + 35*i**4\/24 + 143*i**2. Let b(g) be the second derivative of p(g). Determine b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9611824648?\nAnswer: 2, 137, 8769913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61785 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1550 + -534. What is the smallest common multiple of z and 6?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2722.26 to the nearest 10.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.16 (c) -4 (d) 2 (e) 3 (f) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3522944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2761*t + 327752 = -1058*t - 2365*t for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324883353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l\/l**(1\/15))*(l*l\/((l**(4\/9)*l)\/l*l*l*l))\/l*l assuming l is positive.\nAnswer: l**(-62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761080619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5923 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 + -146. Solve 0*o + 12 = -f - 3*o, -6 = h*f - 2*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000211308 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 5*sqrt(44)\/sqrt(4))*5 + 5 + sqrt(176)*-4)**2.\nAnswer: -360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -2\/3 (c) 3 (d) -111\/2 (e) 54\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let q(s) be the first derivative of -s**4\/2 - s**3 + s**2\/2 - 16. Let n(d) = -2*d**2 - 2*d**3 + 0*d**2 + 0*d**3. What is j*q(i) - 3*n(i)?\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28953888 by 2412824.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-4*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 = -k, 3*k + 8*m = 10*m + 8. Let s be (-3)\/(-3) + -2 + -2. Let o = 1 - s. Put -3, o, k in descending order.\nAnswer: o, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20971, 1\/5, -1\/2, 4\/11 in decreasing order.\nAnswer: 4\/11, 1\/5, -1\/2, -20971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300474 is divided by 1971.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1682237743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 83 - 83.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 + 35 = 0. Let n be 5\/(-10) - 462\/(-4). Suppose i = 6*i - n. Calculate the remainder when i is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 34 = -28*a + 17, 5*n + 5*a = 70 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 = 5. Suppose k - o = c, 0 = -2*k - 6*o + 2*o - 20. Suppose k*v + 2*v = 6. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**2\/2 + f + 240. Suppose 5*y = -25 + 35. Let t(i) = 2*i - 4. Determine y*g(l) + t(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178037?\nAnswer: 178037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1952 or 1744?\nAnswer: 1952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42230*f**5 - 39*f**4 + f**2 - 56868190*f.\nAnswer: 844600*f**3 - 468*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*d - 7, -2*r - 3*d + 4 = -8. Let a(z) = 13*z + 10 - r - 7. Let s(v) = v. What is s(a(k))?\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 - (-3 + (-8 - -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + g + 6, -5*d + 4*g = 8*g + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 277?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1038 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/127? (a) -25 (b) 0.05 (c) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:00 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -38. Suppose q = -6*i - 98. Let t = -21 - i. Is t smaller than -18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1866, -6472, -14150, -24900, -38722, -55616?\nAnswer: -75582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 7) in base 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/96)\/(7\/(-70))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9504 divided by 432?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11414400 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)**31)**44 assuming l is positive.\nAnswer: l**1705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 17*u - 10*u + 37 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Let h(s) = s**3 + 25*s**2 + 26*s + 71. Let j be 4 - (6 + -3) - (27 - 2). Let v be h(j). Solve -24 = 5*u - z*b - 4, -2*u - v = -5*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o - 308 - 1001 - 1968 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a4 (base 15) in base 3?\nAnswer: -12110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*(-139 + 4)\/(-9). Solve -2*z - 20 = j*o, 2*o - 2*z - 2*z = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 4*y + 6. Let o be p(5). Let v(a) = -6*a**3 - 35*a**2 - 46*a - 12. Let l be v(-1). Put 23, -4, o, l in decreasing order.\nAnswer: 23, l, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 13*y**2 - y + 34. Let q be j(-6). Which is the closest to -0.4? (a) 1 (b) q (c) 2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:24 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -13*m**6\/120 + 11*m**3\/6 + 8*m**2. Differentiate z(t) with respect to t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 4 = 20*f. Suppose -3*n = f*n - 10. Solve 3*q + 2*w = -4, 5*w + 27 = -n*q + 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7493861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 - r**4\/12 + r**3\/6 + 21*r**2\/2 + 106*r + 1. Let m(v) = 2*v - 28. Let p be m(14). Calculate k(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u + 2*m, 2*u = -182*m + 177*m - 3. Let s be -2 + 12\/3 - 5. Let a = s - -7. Solve -u - a = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnblnjmmbbbwl. What is prob of picking 2 b and 1 j?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -15*(-3)\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -3. Suppose 0 = u - x - 13. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, 68, 297, 618?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-2)\/(-4))\/(3\/18). Factor 3\/2*m - 3*m**2 + 3\/2*m**3 + n.\nAnswer: 3*m*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o - 20 = -5*f - 74*o, 4*f = 2*o - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y**2 - 2*y + 3 - 3 - 2*y**2 + (-2*y + 0*y + y)*(-4 + 4 - y) - y**2 - 1 + 3 - 1)*(y - 14*y - 2*y).\nAnswer: 45*y**3 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/708 + -1163\/1770. Suppose 385 = 5*q - 4*q. Find the common denominator of (2\/5)\/(168\/q) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = h. Is (4 + h)\/((-6)\/(-256)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*u = 0, 4*y + 0*u - 15 = -u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, -62, -288, -616, -1052, -1602?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032 divided by 4.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217637 - 5*d**2 + 2*d**2 + 5*d**2.\nAnswer: 2*d**2 - 217637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 15*l = 2*r - 27756, -2*l - 6 = 0. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(31\/434 - ((-9)\/(-21))\/3). Let d(u) be the third derivative of -1\/8*u**4 + 0 + 0*u + 38*u**2 + m*u**3. Give d(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124046, -124774, -125504, -126236, -126970, -127706?\nAnswer: -128444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**3*p + 11*l**3 - 7773772*l*p + 4575334*l wrt p.\nAnswer: 3*l**3 - 7773772*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/26 and 77\/62?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13666 + 13666.1. Which is the third smallest value? (a) -3 (b) 21 (c) -4\/3 (d) -0.3 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6b - -29?\nAnswer: b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 5*g. Let a = -38 + 57. Suppose -3*q = -0*q - 5*o + 7, -o - a = -4*q. Let w(f) = -q + f**2 + 2*f + 6. Calculate -5*w(t) - 2*z(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -113, 6, 0.2, 4, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35\/8 - 29\/8. Let g = 48.9 - 49. Which is the closest to g? (a) -4 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111 - -212221222010?\nAnswer: 212222101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 58*m + 307 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 - 350. Suppose f + 4*g - k*g - 332 = 0, 3*f + 3*g - 1014 = 0. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7. Let k(x) = -x - 1. Let n(u) = 2*k(u) + w(u). Let g = 2730 + -2724. What is n(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -57, -82, -111, -144, -181?\n\"Answer: -2*x**2 - 15*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-6 + 2))\/(-2). Let u(v) = v + 4. Determine u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h**2 + h - 44. Give i(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25358912?\nAnswer: 2, 37, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 17. Suppose -y*n + t = -4*n - 50, 4*n - t = 65. Suppose 2*g = 43 + 71. What is the remainder when g is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from ffififfffffff.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160174.\nAnswer: 2, 7, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + a**4 + 7*a**4 - 3*a**4 - 2*a**4 + 0*a**4 + 2*a**4 + 0*a**4 + (0*a**3 + 3*a**3 - 2*a**3)*(3*a - a - a) - 79*a**2 + 79*a**2 - 22*a**4.\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2019, -2072, -2161, -2286, -2447, -2644?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62462 - -144919. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:21 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 501*a**3 + 2064*a**2 - 2004*a - 8208 = 0 for a.\nAnswer: -4, -2, 2, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*4 + sqrt(448)*3 + -2.\nAnswer: -2 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 14*l**2 + 10*l + 6. What are the prime factors of a(-5)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 8253*d - 8250*d + 4*u, -4*u + 21 = 17*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73685\/2 - -36842. Sort 2\/9, -56, -37, 2\/15, t in ascending order.\nAnswer: -56, -37, t, 2\/15, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = -69*w - 98*w - 98*w. Let t be ((-1)\/((-2)\/(-10)))\/(-1). Solve w = p, d + 4*d = -t*p - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1543719673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.9 (b) 4 (c) 0.3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 10*b + 141. What is the units digit of n(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 8632, 3, -1\/3 in increasing order.\nAnswer: -3\/5, -1\/3, 3, 8632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49898459 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 286*q - 282*q - 1 - 6 + 411*q**3 + 2 - q**2. What is the hundreds digit of d(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 9}. What is prob of picking 1 j and 1 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + q**3 + 0*q**3 + (0*q - q + 3*q)*(4*q**2 - 3*q**2 - 3*q**2) + 0*q**3 + 9*q**3 - 3*q**3 + (2 + 1 - 2)*(q**3 - 2*q + 2*q) - 4*q**3 - 4*q**3 - q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*6 - sqrt(170))\/(sqrt(1440)*-1))**2.\nAnswer: 2873\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89753 + 89752. Let x = 1 - 0.5. Which is the nearest to 2? (a) 0 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1745 minus 226.02723887?\nAnswer: -226.20173887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 61 + -63 - (-423)\/(-7). Suppose 2*z = -61 - 63. Let a = z - i. Sort 0.1, a, -0.3.\nAnswer: -0.3, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*h - 7*h + 46604, -7*j + 81557 = 4*h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 275*j - 724*j + 374*j.\nAnswer: j**2 - 75*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18066*v**2*x**2 + 9*v**2 - 550*v*x wrt x?\nAnswer: -36132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 87. Suppose -x*l = 3*l + 5832000. Round l to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i**(-11\/4))**(-39) assuming i is positive.\nAnswer: i**(195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:24 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-3)\/(-9) + 4. Suppose 7*k = r*k + 9. Solve 0 = 4*b - 8, c + 31 = -4*c + k*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -62*h - 991. Let l be q(-16). Let u(b) = -32*b**2 + b - 1. Determine u(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8616916 and 23\/3916780.\nAnswer: 43084580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, -24, -102, -182?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 12*o - 15. Let f be y(-10). Let g(v) = -v**2 + 15*v - 12. Let w be g(14). Suppose -2 - 2 = -w*l. Sort l, 3, f in decreasing order.\nAnswer: f, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*s + 14*s - 10*s + 23*s in the form q + l*s and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 121?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 + 109. Let v = u - -46.945. Let m = 0.023 - v. Round m to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -5. Let h = c + 13. What is the nearest to h in -2, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 256, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/30 - 16*v**4\/3 + 124*v**3\/3 - 3*v**2 - 50. Solve u(l) = 0 for l.\nAnswer: 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*z - 52 = 0, d - 4*d = -4*z - 32. Suppose -4*q + d = -q. Let t = 7 + -4. Are q and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250147.\nAnswer: 1250147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, g: 5}. What is prob of picking 1 g and 3 a?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:14 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f + 2*f. Solve 4 = f*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 2. Let q = 0 - 2. What is the units digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3 - 19*d - 2*d**2 + 38*d - 2. Let p be k(9). Solve -p*m - 11 = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/5 in 0.539, 2\/3, -3, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95, -150, -207, -266, -327, -390?\n\"Answer: -d**2 - 52*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 - 0.06. Let p = 501 + -498. What is the third smallest value in 1\/6, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9725, 9685, 9609, 9497, 9349, 9165, 8945?\n\"Answer: -18*j**2 + 14*j + 9729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 5.4, -16, 107, -3, -0.1, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*x**3 + 174 - 174 + (-x - 4*x + 7*x)*(-12*x + 12*x - x**2) - x**3 + 0*x + 2*x - 3*x + 4*x**3 - x**3 - 2*x**3.\nAnswer: 15*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.4 + 33. Let p = y + -6. Which is the third biggest value? (a) -4 (b) 0 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 60*y - 12 = 5*f, 0 = 4*f + 8. Solve 0 = -y*a + 2*l + 3*l - 13, 5*a = -3*l - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27575 divided by -1095.\nAnswer: -5515\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -169642058?\nAnswer: -50892617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 + 13*p + 115. Calculate t(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -24*z. What is y(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.18*1.3707\nAnswer: -5.729526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.188 - -15.186804. Round t to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -12*g - 3*g**2 + 1\/30*g**5 + 0 + 0*g**3 + 0*g**4 - 1\/60*g**6. Let n(i) be the first derivative of p(i). Factor n(q).\nAnswer: -2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 1. Suppose 9*d = m*d + 225. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5129, 5153, 5195, 5261, 5357, 5489, 5663?\nAnswer: 5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21122102101021 (base 3) to base 14.\nAnswer: -77a97c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-20))\/(22\/715) - (-34)\/(-153)*18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqfu when four letters picked without replacement from {f: 2, a: 3, q: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146185 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 180 = -3*a. Suppose 0*r + 610 = 2*r. Suppose -4*u - 5*h + r = 0, 4*h + 371 = 2*u + 3*u. What is the greatest common factor of u and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3111 - 2622. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 - 7805*u - 263010 = 0.\nAnswer: -33, 1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -326.2?\nAnswer: 32.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7) + sqrt(28)\/(sqrt(4) - -2*sqrt(4)) + -3 + sqrt(28)\/sqrt(4) + (sqrt(7) - (sqrt(21)\/sqrt(3) + 1)) + 0)**2.\nAnswer: -98*sqrt(7)\/3 + 784\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139958 by -38.\nAnswer: -69979\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -53*z**3\/2 + 32*z**2 - 27*z + 1. Let f(y) = 79*y - 32. Let a(m) = 7*f(m) + 4*h(m). Differentiate a(c) wrt c.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5)*b)\/(b\/(b\/((b**(2\/9)\/b*b)\/b*b))))**(2\/53) assuming b is positive.\nAnswer: b**(-58\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11*g = 96. Solve -4*k + 8*k = -g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(468) + ((sqrt(13) - -3*1*sqrt(13))**2 - 2*sqrt(1872)).\nAnswer: -30*sqrt(13) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 9*k**2 - 1 - 10*k**3 - 4*k**3 - 2*k. Calculate t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/12 - o**3\/3 - 2*o**2 + 11*o. Suppose 4*j + 3 + 13 = 0. Give t(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 7. Let a(x) = x**3 - 9*x**2 - 2*x + 12. Let c be a(9). Let i be h(c). Let f = 41 + i. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66576844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k**2 - 12*k + 18. Let m(r) = 25*r**2 - 9*r + 13. Let u(i) = -3*l(i) + 4*m(i). Let w(x) be the second derivative of -x**4\/12 + x. Give w(u(b)).\nAnswer: -625*b**4 + 100*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3 + 18. Let m(i) = -i + 16. Let x be m(10). Calculate the remainder when 43 is divided by n\/x*(-22)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*z - 6*z**3 + 0*z + 2*z**3 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768624349.\nAnswer: 17, 45213197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1121667 less than or equal to -1120598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 32, 47, 64?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2226 = -5*o - 6*g, -5*g + 1333 = 3*o. Let t = o - 237. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 360 = 5*h, -340 = -5*h - 2*d + 15. Let s = 64 - h. Sort 5, s, -2 in decreasing order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455) - sqrt(4455)*-2) + (sqrt(55) - sqrt(110)\/(sqrt(14)\/sqrt(7))))\/(1*sqrt(15)\/((sqrt(36)\/sqrt(2))\/sqrt(6))).\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -11*r**4\/12 + 7*r**3\/2 + 6*r**2. Let x be m(-10). Let o = 495 - x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 7:38 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l - 4808*l + 127*l.\nAnswer: -4753*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.77 + -57. Let r = k - -0.18. Let n = 0.05 + r. What is the closest to n in 0.5, 4, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(5\/2)*s)*s)\/(s**(1\/5)\/s))\/(s\/((s*s*s**21*s*s)\/s*s)*s**(6\/11)) assuming s is positive.\nAnswer: s**(2503\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5221893361.\nAnswer: 37, 9629, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230.888079498 - 3.\nAnswer: -233.888079498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*b - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 - d**2 - d. Let o be k(-1). Suppose 3*n + 1 = f + 2, -2*f - o*n + 7 = 0. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7086\/(-1776) - -4)\/((-45)\/(-1190)) and -31\/132.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x + 68 = -24*x - 492 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/10*(-440)\/(-44)*(-1)\/(-2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a + 5\/4*a**4 + 10\/3*a**3 + 114 - 15\/2*a**2. Factor c(t).\nAnswer: 5*t*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 113. Calculate the remainder when g is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-1\/5)))**(3\/13))**27 assuming k is positive.\nAnswer: k**(-81\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046.965 decades in millennia?\nAnswer: 20.46965","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/5 + (-3)\/(30\/(-4)). Let m = -47777\/4 - -11882. Let x = m - -62. Is h > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 + 4*n - 4. Suppose z - 15 = 2*z. Let y(u) = -27*u**3 + 15*u - 15. Let d = 10 - 15. Let k = 9 + d. What is k*y(h) + z*p(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1746 and 53\/11232.\nAnswer: 1089504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0204 (b) -2\/3 (c) -2 (d) 0 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, v: 6}. Give prob of sequence aa.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/48 and -17\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-550 - 37 - 477 - 922)*(5*l - 2*l - l)*(-1 + 3 - 1).\nAnswer: -3972*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5864279459 to the nearest integer?\nAnswer: 76579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -121464 (base 10) to base 9\nAnswer: -204550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -0.3 (b) -87 (c) 2\/3 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -36 + 19 + 19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-12)\/30) + 9\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247989727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*((sqrt(637) + -1)**2 + 3) - -5*(sqrt(637) + (sqrt(637) - ((sqrt(637) - 1*sqrt(637)) + 4)))).\nAnswer: -70*sqrt(13) + 19130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwb when three letters picked without replacement from kkobwrkwkffwwok?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256082 and 431296?\nAnswer: 8194624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:55 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 17. Suppose 4*j - 4 = 3*g - 18, 0 = j + 5*g + 15. Let l be m(j). Factor 210 - 210 - 10*r**2 + 5*r**l.\nAnswer: 5*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*i = 10, -i + 18 - 8 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28c (base 13) to base 16\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from kkgkggkkkgkbgkkb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 9\/14 (b) 9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 20*c**2 + 22*c + 23. Let t be i(-21). Solve d + 2*g = -t*g - 5, 2*d + 4*g + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1942*f + 1910*f + 0*f**2 + f**2 in the form i*f**2 + g*f + k and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 578*d - 578. Let i(l) = 1. Calculate -578*i(g) - s(g).\nAnswer: -578*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92\/45 + -34\/15. Which is the third biggest value? (a) -0.177 (b) 3 (c) -0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(21\/15). Let w = 304\/153 - 30\/17. Let n = -4249\/2 + 2124. Which is the closest to w? (a) -10 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12463 and 1331?\nAnswer: 137093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)**(2\/37)*(x**(-2\/5))**(-35) assuming x is positive.\nAnswer: x**(515\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l. Let g(o) = 3*o**2 - 4. Let p(q) = 2*q**2 - 2. Let j(z) = 3*g(z) - 5*p(z). Let t(c) = 5*c**2 + 9. Let y(n) = 9*j(n) + 2*t(n). Calculate y(a(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/348277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 14d08?\nAnswer: 14d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2951328*m**3 + 1815638 wrt m?\nAnswer: -8853984*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 0.5, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l - 5. Let h(g) = -g - 1. Let f(u) = -a(u) - 5*h(u). Determine f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 17. Let j be m(-15). Let v(a) = -2*a**2 + 2*a + 5*a**3 + a - 2 - 2*a**3. What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -1\/5*c**5 + 0*c**4 + 0*c**6 + 0*c**3 + 30*c**2 + 0 + 23\/336*c**8 + 0*c + 0*c**7. Find the third derivative of p(t) wrt t.\nAnswer: 1380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -3*j - 9, -5*j = 5*f + 5. Let d be 3 + 6*f\/(-4). Solve -5*b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2. Let d(u) = 4*u + 13. Let r(x) = -3*x - 11. Let f(h) = 5*d(h) + 6*r(h). Give f(j(l)).\nAnswer: 10*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 1 + 7)*10\/5. Solve -c = 4*t - 7, 0 = c - z*t + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 0.0295 (c) 15 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -r - 5*i, 2*r - 2*i = -5*i - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1146.032 + 1146. Sort y, 5, 0.4.\nAnswer: y, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 10*f + 103. Solve -8*l - f = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -609523708 + 609523713.27999679. Let r = 492 + -497.28. Let z = r + c. What is z rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66772894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -872551, -872579, -872657, -872809, -873059, -873431, -873949?\n\"Answer: -4*u**3 - u**2 + 3*u - 872549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 449792140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 70 = -35*g. Calculate the highest common factor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/8, -4, 0.1, 409, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -43*3333\nAnswer: -143319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -30*u - 6. Let d(h) be the second derivative of u + 7\/10*h**5 + 7*h + 0*h**3 + 0*h**2 + 8\/3*h**4. What is the third derivative of d(v) wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + i**2 - 7*i + 3. Let y be g(2). Let z = 53 + y. Solve -z = -8*j + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 13. Let z = f + 6. Let u = 30886\/3 + -10295. What is the third biggest value in u, z, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3753750 greater than -3753741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 654*i**3 + 671*i**3 + 2*i**2 + 60*i - 1327*i**3 + 1 to the form y*i**3 + s + h*i + a*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 110 = -4*w + 164, 0 = -4*r + 5*w + 417. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 74. Let l be j(0). Suppose -2*w + 4*m - 24 - 32 = 0, 3*w = m - l. What is the units digit of (9\/(-12))\/(2\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -0.96. Let u = m - -5.04. Let x = -5.6 + u. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7147 - -12739. Suppose -x = -3*x + q. Suppose l - x = -3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15146300.\nAnswer: 2, 5, 13, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -105419\/12, 0, 8\/29 in decreasing order.\nAnswer: 8\/29, 0, -105419\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 369\/4841 (b) -1 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 163*m + 4431. What is f(-103)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgjgjhb. Give prob of sequence gjjp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 10.5625 grams?\nAnswer: 10562.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 6, -5 in decreasing order.\nAnswer: 6, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58098?\nAnswer: 2, 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 - (1 + -1)). Let w(p) = -3*p**2 - 1451*p + 8824. Let u be w(6). Solve u = -5*n - 5*q, 4*n + o*q + 9 = -3*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/329664 and 59\/309060.\nAnswer: 4944960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - 33. Let m be (24 - 1)\/(-1) + 1. Let p = m - d. Calculate the highest common divisor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14928.5572 to the nearest integer.\nAnswer: -14929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 2*u + 2. Let d(m) = -17*m**2 + 12*m + 12. Let a(i) = d(i) - 6*q(i). Let r(g) be the first derivative of -6*g**3 + 3. Determine r(a(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -90. Let v be 6\/9 + 68\/6. What is the greatest common factor of k and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18253 times 2\nAnswer: 36506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*5)\/sqrt(8) + sqrt(36)\/((sqrt(72)\/sqrt(6) + sqrt(12))*-4).\nAnswer: 79*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 0*b**4 - 2*b**4 + (2*b**3 + b**3 - 5*b**3)*(2*b - 1 + 1) - 8482 + 8485 - 41*b**4 - 18*b**4 + b**3.\nAnswer: -65*b**4 + b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 123 + 118 = 0. Let q = 2.92 - -0.08. Sort v, q, -1\/5, -5 in ascending order.\nAnswer: -5, v, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -664, -1331, -1998, -2665, -3332, -3999?\nAnswer: -4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 8*y**2 - 104*y - 345. Determine s(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -212?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccmmmcccqcccmmmmmcn. What is prob of sequence nmm?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27125 plus 3?\nAnswer: 27128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*o = -149, 2*o = 4*s - 6*s + 96. Suppose 2*u + 144 = 3*r, r - u = 71 - 22. Let w = r - s. Solve -4*h + 2*b = -3*b + 2, w*b = 4*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/2 + 63*b**3\/2 + 33*b**2 - 64*b.\nAnswer: -b*(b - 64)*(b - 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:53 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*t - 172*t - 9 = 5*c, 2*t - c = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16882 + -16384. Solve -22 = -65*d + k for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10698393?\nAnswer: 3, 3566131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:05 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-7\/3)*z*(z\/((z\/z**30)\/z))\/z assuming z is positive.\nAnswer: z**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 200124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1168 = 3*b + 293*z, -5*z + 108 - 217 = 5*b - 99 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 79?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 - 5*a**4\/24 - 5*a**3\/6 + 40*a**2. Let p be t(-4). Put -4, p, 1 in decreasing order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8746 + -0.1254. Which is the fourth biggest value? (a) l (b) -1\/2 (c) -1\/11 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**2\/17 + 146*k\/17 + 18\/17.\nAnswer: 2*(k + 9)*(8*k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5291\/6 - -880. Let j = 4237231\/1032 - 4275\/344. Let f = -4090 + j. Calculate the common denominator of u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z - 3*z + 5*z)*((0 - 4 + 5)*(0 + 0 - 2*z) - 7*z + 5*z + 107*z) + 3*z**2 - z + z + 1 in the form m*z + o + d*z**2 and give d.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**3 + 5 + 3*x + x**3 + 0*x**2 - 5*x**2. Let c(d) = 2*d - 2. Let u(k) = -3*k + 1. Let f(m) = 5*c(m) + 4*u(m). Let l be f(-5). Determine a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/25 (b) 3\/1059104 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 15*i**5\/2 - 15925*i**4\/2 + 10505*i**3\/2 + 111565*i**2\/2 - 84910*i + 31830 = 0?\nAnswer: -3, 2\/3, 1, 2, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135 - 1?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32500 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657470 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -805 - -807. Is 5 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -833 + 835. Let z be (-8)\/4 + (-8)\/(-6). Which is the closest to 1\/2? (a) 3 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 533932, 1066433, 1598934?\n\"Answer: 532501*p + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3 = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose 4*z = -j*d + 22, 3*d + 1 = 7. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -12*w**4 + 2757*w**3 + 411819*w**2 - 4877550*w - 5286600 = 0.\nAnswer: -445\/4, -1, 12, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i + 2*t + 30, -2*i - 5*t + 580 + 660 = 1153 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 116. Let w = t + 42.4. Let g = 18 - 14. Which is the biggest value? (a) -5 (b) g (c) 2\/23 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026274706 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 20. Suppose z + 4*i + 31 = 0, -z + 35 = -6*z + 4*i. Let o be t(z). Let a(u) = -2 + 3 - o + 5 - 6*u. Give a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:48 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Let o(k) = k**2 + k + 3. Is o(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5475 (base 8) in base 10?\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/40)*j**(-21\/8)*j*j**(-25\/4)*j*j**(-11\/6) assuming j is positive.\nAnswer: j**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:32 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 - 26973*g**2\/5 + 60615072*g\/5 + 60642048\/5.\nAnswer: 3*(g - 4496)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 4. Determine k(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 725263 plus -0.4?\nAnswer: 725262.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/60 - z**4\/6 - z**3\/3 - 4*z**2. What is the remainder when w(-3) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 229786, 229784, 229780, 229774, 229766, 229756, 229744?\n\"Answer: -n**2 + n + 229786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 r, and 1 p when four letters picked without replacement from {s: 3, v: 3, p: 1, c: 5, r: 1, a: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 788, 763, 738, 713?\n\"Answer: -25*i + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209.478 + 209. What is j rounded to 2 decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 86, 73, 4, -139?\n\"Answer: -3*o**3 - o**2 + 49*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 17 + 16 = 0. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Let k = 4 + n. Solve -w = -3*d + 11, 0 = k*w + 3*d + 2*d + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*b - 0*b + 3*v, 2*b - 5*v = -16. Let j(d) = -d**2 - b*d + 3*d + d - 1. Let n be 2*(-1 + (-10)\/(-4)). What is j(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9290 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 22. Let i = 26 + l. Let b be 3 - (i\/2)\/(-4). Solve 4*h + 0 + 2 = 2*o, -5 = b*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 2*i**2)*((-2*i**2 - 3 + 3)*(1 - 1 + 2*i) + 1 - 1 + 2*i**3).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-411)\/548*4\/9. Sort w, 5, 368 in descending order.\nAnswer: 368, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(64))\/sqrt(4))\/(6*-2*sqrt(8)) + -3.\nAnswer: -3 + sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 15020571638059.\nAnswer: 15020571638054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -177666.19\nAnswer: 53299.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 2641057?\nAnswer: -2641106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - u + 5. Determine y(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*h = -3*t + 13, 0 = 5*h - 5. Let f be (-6)\/(-27) + (-29)\/t. Put 4, 9, f in decreasing order.\nAnswer: 9, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.08 + -38. Let i = 0.1 - o. Let l = -1 + i. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -294664*m + 294662*m, -4*m = -2*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 395480?\nAnswer: 395478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - n - 4*n - 2*n**2 - 5*n + 4*n.\nAnswer: -2*n**2 - 6*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12607 + 55116\nAnswer: 67723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t*t\/(t\/t**(-7\/4))*t))\/t)\/(t*t**(-4)))\/(t\/(t**(2\/7)*t))**(-2\/35))**(-2\/29) assuming t is positive.\nAnswer: t**(-1699\/14210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 59?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.236365 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2679 and -16\/33.\nAnswer: 29469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 19*n**2 - 14*n + 4. What is r(18)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {c: 11, q: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6 + 9\/((-9)\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*m - 5 = 0, 5*m = 5*n + m - 45. Suppose 0 = 5*d - n*z + 20, 0 = -2*d - 0*d + 5*z - 14. Let y be d\/(-5) - 112\/(-120). Is 2 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2999965 + -2.3. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8*1629\/(-36) - 9 - 5 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47635747 and -50?\nAnswer: 47635697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3938)\/((-9)\/(72\/16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133608555 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 41\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6706 or 6704?\nAnswer: 6704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2) + 3\/6. Let r = -2 - 4. Let m = -5.9 - r. Which is the closest to m? (a) 2 (b) n (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53305\/12 - 4437. Calculate the common denominator of 97\/22 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 219*r - 5538. What is h(25)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 120 - -15 - -59.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 83*a + 51. Let v(s) = -s**2 - 45*s + 27. Determine -6*t(w) + 11*v(w).\nAnswer: 7*w**2 + 3*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 52462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-35))\/((-2)\/7))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 9 = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212716 + -2440?\nAnswer: 210256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/180*(-42)\/(-49)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3235\nAnswer: 4\/3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 655317 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1321003 + 11?\nAnswer: 1321014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 6:42 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -108 - -106 - (0 - 12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*k**3 + 66*k**2 - 67*k**2 + 3 in the form r + v*k + n*k**3 + t*k**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -48584*x + 48556*x, -v - 56 = 5*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*9636358.\nAnswer: 67454506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 101 - 101)*(-6*j**2 - 8*j**2 + 7 + 9*j**2).\nAnswer: 45*j**3 - 63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242)\/(sqrt(11) + sqrt(33)\/sqrt(3)) + sqrt(88)\/(sqrt(20)\/sqrt(5)))\/(6*(sqrt(72) - -3*sqrt(72))).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718258.\nAnswer: 2, 359129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000061553 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13.2. Let i(k) = 443*k - 3542. Let a be i(8). What is the second smallest value in n, 3, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 0.1, 4, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3945471 and 5\/3.\nAnswer: 3945471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l - 1 + 1 + 11*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u - 145. Let a be l(20). What is the highest common factor of a and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*c + 8856 + 10582 = 0, 0 = 3*c - 6. What are the prime factors of h?\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 385 = -21*h + 5*f, -h + 160 = 4*f. Calculate the remainder when h is divided by 110.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73413350*m + 73413329*m - 146826668*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -56*p**3 + 99*p**2 - 7*p. Let i(d) = 28*d**3 - 50*d**2 + 3*d. Let r(l) = -7*i(l) - 3*u(l). Find the third derivative of r(h) wrt h.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 16 + 2 = o, -4*o = -s + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*c = 2101994, 4*m = 3*c + c - 8408008. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010810253 rounded to five dps?\nAnswer: 0.01081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2258*i - 3715. What are the prime factors of w(-12)?\nAnswer: 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8, -1841.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**7\/70 - n**4\/12 + n**2\/2 - 3. Let u(r) be the second derivative of a(r). Find the second derivative of u(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/6 + 3 + -1 + -1. Find the third derivative of 41*h**2 + 6*h**3 + 13*h**2 + 2*h**3 - 30*h**f wrt h.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40 + -4)*6\/4. Suppose 2*p = y - 4. Calculate the remainder when p is divided by (-1)\/(-1)*(15 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 34*g - 50. Suppose 0 = -2*s - 5*x - 33, -2*x + 7 + 3 = 0. What is the remainder when b(s) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 23*y + 32. Give a(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:51 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-182)*(-21)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20859 and -0.3.\nAnswer: -20859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - g - 5. Let w = 4155 + -4164. Let a(j) = 3*j**3 + 3*j + 9. Calculate w*n(s) - 5*a(s).\nAnswer: 3*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 = 17*w - 1645. What is the remainder when 2542 is divided by w?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 3*r**2 + 0*r**2 + (r - 2*r + 2*r)*(4*r - 4*r - r) + 2*r**2 + 4 - 4 - 2*r**2 - 2*r + 2*r.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/120)\/((-378)\/216)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = 195*q - 1168 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.45 + -6.5. Round f to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184 - 34.03423543?\nAnswer: -1218.03423543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*o + o + 794, 2*o = 3*g - 784. Is (g - 4) + 1 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 159*c - 159 - 33231. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.765297ml to litres.\nAnswer: 0.001765297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a1 + 16?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360557 divided by 24.\nAnswer: -360557\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*c + 1216*c = 55650. Let w = -9 - -13. Calculate the smallest common multiple of w and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - 22*g + 34. Let c(x) = -2*x**2 + 7*x - 11. Let w(q) = 17*c(q) + 6*t(q). What is the units digit of w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -418a?\nAnswer: -4185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*o + 3099 = -3458 + 2663 - 8245 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73142673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*1*0\/317.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 43*o - 55*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-3 + 2)) + (-2 - -118)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 2, z: 6, s: 6, k: 2}. What is prob of sequence hzhz?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 - c**3 + 10*c**2. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715.61 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 405835 - 4?\nAnswer: 405831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3136, -16, -2.\nAnswer: -3136, -16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -4 + 3)**2 - sqrt(190)\/(sqrt(10)*4).\nAnswer: -9*sqrt(19)\/4 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -342183 * 22\nAnswer: -7528026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44649150 by -546.\nAnswer: -81775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 18. Let i be 20\/(-16) - 2\/(-8). Let n(z) = -180*z**3. What is the least common multiple of x(5) and n(i)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a - 2. What is w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k = -44*k + 14. Find the third derivative of 54*w**2 - 124*w**2 - 20*w**k - 144*w**2 + 221*w**4 wrt w.\nAnswer: 5304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 45. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7987*c**3 - 102*c**2 - 18*c + 94. Let y(r) = 3993*r**3 + 50*r**2 + 8*r - 46. Let l(k) = 4*m(k) + 9*y(k). Find the third derivative of l(s) wrt s.\nAnswer: 23934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmllnllllllllnnl. What is prob of picking 2 l and 1 m?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*n - 13*n - 1767. What is the lowest common multiple of 60 and n?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/7 + 34*u**4\/7 + 1166*u**3\/7 + 3230*u**2\/7 + 300*u = 0.\nAnswer: -15, -2, -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 7. What is z(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 215, 515, 1101, 2069, 3515, 5535, 8225?\n\"Answer: 16*q**3 - q**2 + q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2\/11, -4\/3, 1\/3, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 382 = -96. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*q**4 + 7*q**4 - 24*q**4 + q + 25*q**3 + 10*q**4 as z*q**2 + c*q**3 + f*q**4 + t*q + n and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 23. Let f be -2*(y\/6 - 0). What is the derivative of -f + 4 + v**3 + 2*v**3 wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let w be (42\/15)\/(p\/10). Let v = w + -7. Solve v = -m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 53. Let z = -15 + t. Let i = z + -4. Which is the closest to 0? (a) i (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 4*g - 38*g + 7*g in the form q + j*g and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44802976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 9*i - 8. Suppose 22 = 2*f + 3*u, 18 = -2*f + 4*f + u. What is the lowest common multiple of f and k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*n + 0*n**3 - 2 + 65*n + 8*n**3 + 2*n**3 to c*n**2 + m + t*n**3 + d*n and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, -80 = -3*c - 4*b - 0*b. Let z = c - -10. Calculate the greatest common divisor of z and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -1, 5.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-5)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149497600 rounded to the nearest one million?\nAnswer: 1149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 12*z = -148. Calculate the remainder when z is divided by (-112)\/12*6\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*f**3 - 1290*f**2 + 1290*f**2)*(-2 + 2 - 7 - 3) in the form j + d*f**2 + z*f**3 + y*f and give z.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9\/(-12))\/((-54)\/751176)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8*(-153)\/54)\/(8\/6). What is the highest common factor of 3808 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96187.89ml in litres?\nAnswer: 96.18789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 88*v - 41*v**2 - 243*v - 3 + 2*v**4 + 148*v as g*v**4 + y*v**3 + i*v + h + k*v**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10340*m**2. Let t(f) = -181*f - 2. Determine t(n(p)).\nAnswer: -1871540*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2100 by 1.\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 1.6. Let q = 1.8 + z. Let t = -0.2 - -0.5. Which is the third smallest value? (a) -2 (b) q (c) 5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -55766*b**2. Let v(i) = 399*i. What is a(v(l))?\nAnswer: -8878002966*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54 + 723*a**4 - 286*a**4 + 723*a**4 - 32 wrt a.\nAnswer: 4640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 7 = r. Suppose 3*w + 16 = s, s - 16 = r*w + 8. What is the units digit of 184\/s - (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 - 1 - 34*x. Let q = -84 + 89. Let d(i) = q*i - 4*i + 0*i + i. Determine d(o(w)).\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 0 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10812\/858 + -13 + (-3 - 102\/(-33))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253984, 510948, 767912, 1024876, 1281840?\nAnswer: 1538804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 399827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 741*0.3\nAnswer: 222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5319 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108440712?\nAnswer: 2, 3, 1506121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491918104?\nAnswer: 2, 71, 866053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 1. Let f(v) = v**3 + v**2 - 2*v + 1. Let c be f(0). Solve c = 2*b - g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 15 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 3 = 0. Let t = l - -28. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose -2*j + 2 = -k*j. What is the greatest common factor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z**2 + 25*z**2 + 3*z**3 - z**3 + 17*z**2 - 99 - 58*z**2 to the form m*z**2 + q + y*z + d*z**3 and give q.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/360 - x**5\/40 - x**4\/12 - x**3\/6 + 7*x**2\/2 + x - 10. Let u(j) be the second derivative of n(j). Give u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5923*j + 5921*j + 71 = 0, 5*z - 131 = 3*j for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**8\/336 - k**7\/14 + 17*k**6\/40 - 53*k**5\/60 + 3*k**4\/4 - 3*k**2 + 65. Suppose f(y) = 0. Calculate y.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 1. Let f(u) = -u. Let l(j) = 2*f(j) - k(j). Let x(r) be the second derivative of -r**3\/6 + 2*r. Give l(p) - 4*x(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-1)\/(-8))\/(2223\/228)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**4 - 607618*p**2 - 31*p + 8329570 wrt p?\nAnswer: 4*p**3 - 1215236*p - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*((-2*sqrt(1872)*-3)**2 + sqrt(1872)) + 1)*-6.\nAnswer: 360*sqrt(13) + 2021784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/18)\/((-2)\/(-3)). Are s and 8\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846 smaller than 9227\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 374106404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1803*r + 3. Let f be i(1). What is f rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736.8684 rounded to the nearest 10?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 54360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -2.221916\nAnswer: 1.9997244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372516?\nAnswer: 2, 3, 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 2 + (4 - 7) + 4 + 0 + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(325) + 4) + -5)*4*-5)**2.\nAnswer: -1392000*sqrt(13) + 19056400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259921, -259922, -259921, -259918, -259913?\nAnswer: -259906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7274, -6587, -5900?\nAnswer: -5213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -994 - -988.93. Let p = 5.47 + m. Let y(j) = j. Let z be y(2). Which is the third smallest value? (a) 4 (b) p (c) z (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -152 in 3, -4, -398?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:01 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 51\/6. Let g = l + -10. Let k(h) = h**2 + 5. Let z(s) = s**2 + 4. Let c(b) = -3*k(b) + 4*z(b). What is c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 217, 204, 175, 124, 45, -68?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + c9?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186290*o + 8648 = -186106*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*1*sqrt(21))\/(sqrt(108)*1))**2.\nAnswer: -2*sqrt(7) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqnnqnnqqnqnqqnqnn.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14819 smaller than 14820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 5*a**8\/336 + 119*a**6\/120 + a**5\/60 - 3517*a**4\/24 + 2*a**2 - 556*a - 2. Find the second derivative of w(j) wrt j.\nAnswer: 100*j**3 + 714*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 869757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b + 11. Let k be (0 - 1\/(-1)) + -7. Let m(r) = -2*r**2 + 8*r + 21. Let z(u) = k*m(u) + 11*o(u). What is the units digit of z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1303761, 1303780, 1303833, 1303938, 1304113, 1304376, 1304745, 1305238?\n\"Answer: 3*w**3 - w**2 + w + 1303758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66652 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**4 - 28392955*w**3 + 96192*w**2 - 431*w?\nAnswer: 168*w - 170357730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - -362.\nAnswer: 362.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48012 divided by -8002?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*w - 39 = 0, -24*h - 5*w = -23*h - 31. Let o(v) = -1 + 2*v**2 + 6*v + 0 + h*v - 5*v + 2. What is o(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(48) + sqrt(9)\/sqrt(3)*1.\nAnswer: -23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 9*c**2 - 3*c - 29. Let s be h(-9). What is the hundreds digit of -2 + 2 - ((-234 - s) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t - 2. What is the units digit of j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Suppose 11*l = 7*l + 8. Suppose 0 = 3*o - 7*o + 16. Let v(p) = 6*p - 6*p**l - 2*p - o*p. Calculate i(v(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/2240 - 53*h**5\/30 - 48*h**2. Let y(m) be the third derivative of f(m). Let c(z) = -5*z. Determine c(y(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -5*u + 5*a - 37, 13*u + 5*a = 53 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 18*h + 90. Let a be c(-5). Let k be ((-2)\/(-4))\/((-2)\/(-12)). Suppose -3*p - 3 = 4*l, 2*l - k*l = 2*p + 2. Is l less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17771 divided by 3\nAnswer: -17771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 y when four letters picked without replacement from vyegggevevgvegy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 7*x + 6. Let d be i(-5). Let n(o) = -46 + o + d. Let r(q) = -2*q - 2*q + 6*q. What is n(r(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = 2*l, 4*l = -2*k - 4 - 0. What are the prime factors of k\/5*111\/6*-10?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3789 + 3789 + 5*l - 5*l + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/3 + 3398*r\/3 - 2886601\/3 = 0.\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/21, 234034, -9?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1071 minus 0.48257714?\nAnswer: -0.58967714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325de (base 15) to base 4.\nAnswer: 213003113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 44.37. Let s = -18 + 18.35. Let w = o + s. Round w to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*l - 291*l + 4 = 0. Solve -5*o + 3*a = 34, 2*o - 4*a = -l*o - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 1.7 (c) -1283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316*x + 2040 - 822*x - 438*x - 364 + 376*x wrt x?\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-5*sqrt(637) + -1 - sqrt(637)) + 4)**2 + ((2 + sqrt(637))**2 + 3 - ((sqrt(637) - (sqrt(637) + -2)*3)**2 - sqrt(637)))).\nAnswer: -63003 + 147*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44\/7, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14376 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 13. Let b = 10 - t. Put 0, 5, b in descending order.\nAnswer: 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31382\/4615 + (-224)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239193 = -f + 5*f - s, 4*s = 3*f + 179398. Is 10\/(-35) - (f\/(-14))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in 0, -4\/7, -35, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 13653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -o - 21, -m + 2*o - 8 = 0. Let z = m - -26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.743869 milligrams in nanograms?\nAnswer: 8743869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9922079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/60 and -61\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -24 + 107 + (-80928)\/960.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by -12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1531269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/7 > -0.041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5. Let q be 1 + -1 + (0 - k). Suppose 0 = -7105*p + 7121*p - 110 - 98. Which is the second smallest value? (a) p (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:28 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 852, 1280, 1708?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 84, 92, 100, 108?\n\"Answer: 8*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/873342 and -103\/6?\nAnswer: 873342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/247117 and 68\/741351?\nAnswer: 741351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*p - 64010, 4*n + 0*n + p - 255995 = 0. What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 331*t - 16 + 2 - 332*t. What is z(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.3 (c) -8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {y: 4, j: 2, o: 2, z: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 - 2 - 25*m + 5*m + 11*m + 5*m**2 + 12*m. What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n**2 - 13*n + 2. Let i(j) = 3*j**2 + j. Let w(u) = -6*i(u) - l(u). Determine w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293280167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1. Let h(a) = -4 - 3*a - 1 + a. Let b = 70400 + -70390. What is b*u(r) - 2*h(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Let h(j) = -j**3 + 7*j**2 + 10*j - 5. What is the lowest common multiple of l and h(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 46. Calculate the smallest common multiple of 9 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18200 is divided by 5939?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4 + 60*y - 11*y**2 - 65*y + 6. Let j(r) = -32*r**2 - 14*r + 28. Let n(g) = -14*b(g) + 5*j(g). Let s(q) = 17 - 17 + 2*q**2. Calculate n(s(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - 7) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z**3 - 20*z - 4*z + 1 - 14*z**3 as b + j*z**2 + k*z + t*z**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -427 + 954. Suppose 525*a - 2 = t*a. Are 37 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -1, 8.\nAnswer: -75, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5462*a**5 - 16657*a**4*m + 57*a**2*m + 3*a**2 - 97*a*m + 4*a - m - 9 wrt a.\nAnswer: -327720*a**2 - 399768*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + 1 + sqrt(396))**2*-3 - (sqrt(396) + 4 + sqrt(396)*1 + sqrt(396))**2) + -1.\nAnswer: 1296*sqrt(11) + 50009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.001 (b) 0.5 (c) 435\/7 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*u. Suppose m + 3*v + v = -13, 3*m - u*v = 3. Suppose r - 4 = -3*r. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 14, 47, 104, 191, 314, 479, 692?\n\"Answer: t**3 + 3*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2244 (base 8) to base 14.\nAnswer: -60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 10. Let f be y(-10). Solve f = 4*m - p - 3*p + 16, 0 = -4*m - 5*p + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aadd when four letters picked without replacement from aaaaaaaaadaaaaaaaaad.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6 - 63\/15 - -3\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -72*x**5 - 5016*x**4 - 3242*x**3 + 4880*x**2 + 3450*x = 0.\nAnswer: -69, -5\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 188435bb?\nAnswer: 188435b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 1266, 4238, 10020, 19548, 33758?\n\"Answer: 156*h**3 + h**2 + 3*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhooapafpaaaaoa. What is prob of picking 1 a, 1 f, and 1 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f - 2. Let c be t(2). Let i = -10 - c. Solve 0 = -4*l - l - d - 2, -i = -3*l + 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)*q*q**(3\/2)\/q*q*q*q\/(((q**(-1)*q)\/q*q)\/q*q)*q\/((q**(1\/4)\/q)\/q))**(12\/11) assuming q is positive.\nAnswer: q**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:55 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 2*s**2 - 2*s + 4. Let q = -3516 + 3518. Let w(y) = 15*y**3 - 10*y**2 + 11*y - 21. Determine q*w(z) + 11*k(z).\nAnswer: -3*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 80. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (20 - (-1 + 4)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - -111111110111?\nAnswer: 1000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 122. Suppose 4 = -a*c + 12. Solve o + c - 13 = 3*v, -3*v - 15 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.5, -21070 in descending order.\nAnswer: 0.5, 1\/3, -21070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4985.07 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:58 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 85*o + 861. Let z be n(26). Which is the nearest to 1\/4? (a) -5 (b) 4 (c) -0.04 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8528 and -27\/8528.\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796058 - 1.4.\nAnswer: -796059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694630178 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**7\/525 + o**5\/50 - o**4\/30 + o**2\/2 + 11. Let s(q) be the second derivative of t(q). Determine f, given that s(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/330*(-9)\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 851418137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 7*y**2 + 7*y + 6. Suppose 4*t + 17 = 41. Let b be 17\/(-1) - (-4 + 0). Let g(l) = -4*l**3 + 15*l**2 + 15*l + 13. What is b*d(q) + t*g(q)?\nAnswer: 2*q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 85, 5 in descending order.\nAnswer: 85, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 45*j**2 + 18*j - 120. Suppose 4*m - 28*m - 448 = 104. Calculate i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26)\/234 + 4\/(108\/15015).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**3 - 5*r. Let m(u) = -4*u**3 + 3*u. Suppose 2*a + 0*a + 5*w - 357 = 0, 0 = -4*w + 12. Let z = 166 - a. Determine z*m(p) - 3*i(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*i - 29 + 42, -2*i = -2*q - 2. What is the least common multiple of i and 3542?\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, -48, -5, -25, 1 in decreasing order.\nAnswer: 390, 1, -5, -25, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6002 (base 10) in base 5?\nAnswer: -143002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 0 + 27)*(-2*u**2 + 1 - 1) - 5*u + 3*u**2 + 5*u.\nAnswer: -101*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 3. Let k be l(-7). Is (37\/k)\/(2\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 0) + 10 + -126 + 179.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 6318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - 152?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 888 = s, 3*s - 8*w = -5*w + 2658. What is the remainder when s is divided by 293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1147 - 0.1436. Sort -2, 2, d, -1.\nAnswer: -2, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-42) - (45\/(-63) + 1). Let j = 7 + -9. Which is the nearest to g? (a) 0.5 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1987810300.42.\nAnswer: -1987810300.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = 0, 2 = 5*l - 2*x - 2. Suppose -l*c = -3*o + 9, -3*o + 22 = -o + 4*c. Suppose o*j - 4*j = -100. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/(-20))\/(-4 - (-12)\/8). Which is the third biggest value? (a) 0.2 (b) m (c) 5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42311279?\nAnswer: 269, 157291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/176 and 99\/14?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/174668001 and -33\/407558669.\nAnswer: 1222676007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.874 - 0.874. Let r = 44 - 44.37. Let i = r - -0.07. Which is the closest to k? (a) -3 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*o + 8, -2*g = o - 0*o + 12. Let z = o + 6. Is 2 a factor of z + (4 - (-2 + 5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as -6103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = -5*t, -4*u - 2*t = -2 - 6. Solve u*k + 7 = 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14357524.\nAnswer: 2, 3589381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06882 in -2\/15, -0.7, 1.8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2529 and -15\/85547921.\nAnswer: 769931289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16766 = 4*n, -3*q + 41875 = 2*q - 2*n. Let h = 19873 - q. Suppose x = -0*x - h. Round x to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2 - 6 + 13*m + 6 + m**3 - 14*m**2. Let q be g(13). Let d = 0.1 - -1.9. Which is the third biggest value? (a) d (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2881 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 11) in base 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -19, -4*o - 2*h = -4. Suppose 0 + 9 = o*j. Suppose -j*n = -2*n - y - 9, n - 2*y - 11 = 0. Solve -4*w + 2*a = -10, -2*w - w + a = -n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 43*q**2 + 265*q - 63. Calculate c(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -6) + 8 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/11 - 65*g**3\/11 - 255*g**2\/11 - 295*g\/11 - 102\/11 = 0. What is g?\nAnswer: -17, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o - 9. Let t(y) be the third derivative of -y**4\/8 - 5*y**3\/6 - y**2. Let w be (45\/25)\/(21\/(-70)). Calculate w*q(x) + 11*t(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3, -0.2, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -203 - (-20)\/5. Let f = i - 67. Suppose 5*j + 0*j + 4*l - 682 = 0, -l = -j + f. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 80*g**2 + 95*g - 170.\nAnswer: -5*(g - 17)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h = -12 - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -811*g + 4161. What is the hundreds digit of v(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1655 divided by 6268?\nAnswer: -1655\/6268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 4*i - 36 - 10*i in the form u + w*i and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 125. Suppose i + p = 6*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 8:18 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1527 + 96203\/63. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y**2 + 2*y - 2. Let a be n(2). Suppose 4*k - 276 = -4*g, -g = -k - a + 11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - ((2 - -6) + 37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -28. Suppose b + 3*c = -4*b, -2*b + 11 = -c. What is the smallest common multiple of b and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 47*s + 22. Let j be b(9). Solve 12*q - j*x - 10 = 11*q, 0 = -3*q - 2*x - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35467 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 4, -5\/2 in descending order.\nAnswer: 4, 3, -5\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/330 and 81\/14495074.\nAnswer: 217426110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 - y - 5. Give d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/32157 in -0.5, 2, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 659063.4 millilitres?\nAnswer: 659.0634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -31*w**3\/6 + w**2 + 1165*w. Let t(g) = 24*g. Determine t(q(o)).\nAnswer: -744*o + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3326070 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 0, -1 in decreasing order.\nAnswer: 0, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45009*o**2*z**2 - 23*o**2*z + 3*o**2 + 92323716*o*z**2 wrt o.\nAnswer: -90018*z**2 - 46*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 - -361. Let q = -173 + t. Factor 2\/7*x + q + 2\/7*x**2.\nAnswer: 2*x*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(21\/(-3))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183087125*o**3 - o**2 - 265412607 with respect to o.\nAnswer: -549261375*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/(-20)))\/(3\/((-9)\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4 (c) -5 (d) -193827.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -13*o**7\/7 - 19*o**3\/3 - 1. What is the third derivative of b(s) wrt s?\nAnswer: -1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Let p(m) be the first derivative of -6 - m**2 - m**2 + 1 + z. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 2808191462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 334800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 + 3*u - 19. Let s be l(7). Let g be 42\/(-54) + (-2)\/9. Is (-3 + -3 + s)*g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2112171 divided by 12.\nAnswer: 704057\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -22. Suppose 0 = 3*a - 5*a, 2*d - t*a + 14 = 0. Let f = 19 - d. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let j = -5 + 8. Put 1\/2, j, x in decreasing order.\nAnswer: j, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 + -299.7. Let n = p + -15. Let q = 1.55 - n. Round q to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-20*30\/(-1600))\/(6\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3. Let k(y) = -7*y**3 - 4*y**2 + 13*y + 7. Let n(o) = 6*f(o) - k(o). What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3164680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -32*i**6\/3 + 28*i**5 - 25*i**4 + 65*i**3\/6 - 5*i**2\/2 + 5*i. Factor p(g).\nAnswer: -5*(g - 1)*(4*g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c - 1. Suppose 3*h = c*h. Suppose h = 6*b - 4*b + 2. Is b smaller than -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110020020 (base 3) to base 9.\nAnswer: 13206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u + 3 + 55*u + 4 - 324*u - 5.\nAnswer: -332*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 4*p. Find the third derivative of 0*r**6 - 5*r**6 + 2*r**p + r**2 + 2*r**2 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(14\/4 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -15 - ((22 - 10) + -12)) + -37?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) - ((-1792)\/(-93) - 20)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/2)*x**(-1\/3))**47)**27)**(2\/9) assuming x is positive.\nAnswer: x**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/8 or 10?\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Suppose 0 = 2*b - p, -2*y = -3*y - 2*b. Let r(x) = x**3 + 5*x**2 + 2*x - 5. What is the units digit of r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/8, -11 in ascending order.\nAnswer: -11, -3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*o**3 + 5429595*o**2 + 39365580*o + 9502045 = 0. What is o?\nAnswer: -7, -1\/4, 271487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -113143413.3 - -6\nAnswer: -113143407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2 - 3058\/(-556)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*sqrt(11))**2 + (sqrt(88)*-4)\/sqrt(8) + (-2*-6*sqrt(1331)*2)**2.\nAnswer: -4*sqrt(11) + 767206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*n*y**4 - 436*d**2 - 3*d*n*y + n*y - 198*y**5 wrt y.\nAnswer: -24*d**2*n*y**2 - 3960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 4, a: 5}. Give prob of picking 2 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 570*b**2 - 43*b - 41*b - 106*b**2 + 84*b to the form x*b + y + k*b**2 and give k.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11459031 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -601526457 rounded to the nearest 1000000?\nAnswer: -602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let o(d) = d**2 + 2*d - 1. What is -2*f(g) - 2*o(g)?\nAnswer: -2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 6 + 4, -2*k - 7*r - 12 = 0. Let q = -14 + 17. Calculate the remainder when q is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}