diff --git "a/data/dm_maths/full_data_1/2523_11255.jsonl" "b/data/dm_maths/full_data_1/2523_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2523_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the smallest value? (a) 5 (b) -1349 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**7\/1260 + m**6\/720 + 9*m**2. Determine y so that l(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 19549605*n**2 - 39099225*n - 19549615.\nAnswer: 5*(n - 3909923)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*w - 36, 0*w + 30 = 2*h + 2*w. Solve -2*l = -5*b - 0*b + 19, -2*l = 2*b - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(336\/(-72))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/64)\/(11\/286)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183962119.\nAnswer: 11, 23, 727123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14315\/12 + -1199. Calculate the common denominator of -21\/5 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2189, 2183, 2161, 2117, 2045, 1939?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*d + 46*d - 16086 = -41*d + 87*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (-5*(-3*sqrt(121) - sqrt(121)) + sqrt(121))) + 4*sqrt(121)*-1)\/((sqrt(110)*2*6)\/(sqrt(40)\/sqrt(4)*3 + sqrt(10))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = 17. Sort d, -15, 2.\nAnswer: -15, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001 - -101001000?\nAnswer: 1001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p + 4. Let f be l(-6). Let t(k) = k + f + 2 + 0*k - 2. Determine t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (866\/(-3464)*(12 - -1))\/((-1)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by 65.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/568 and 37\/40.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/7 - 808*b**2\/7 + 481*b\/7 + 46.\nAnswer: (b - 161)*(b - 1)*(5*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose -5*s = -2*c - 19, -5*c + 19 = a*s - 16. Determine l, given that -103*l - 7*l**c - 45*l**4 - 8*l**3 + 98*l + 25*l**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130307\/210 - -4355\/7. Let f(g) be the second derivative of -1\/3*g**4 + z*g**6 + 0*g**3 + 0*g**5 + 0*g**2 + g + 0. Solve f(v) = 0 for v.\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -133. Is n a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*x)*(0 + 0 + 2) + 178*x - 709*x - 235*x - 40*x - 885*x.\nAnswer: -1695*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52359318 divided by -5817702?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:36 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 9*o + 237*o**4 - o**2 - 6 - 239*o**4 + 67*o**3 - 69*o**3 as h*o**2 + v*o**4 + g*o + z*o**3 + k and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 441*o - 433*o + 12*o**2 - 20*o**2 + 9*o**2 + 7. What is t(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 = -21. Suppose -5*x = o + 10. Suppose 32 = -2*j + 4*m, 36 + 16 = -4*j + 5*m. Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdodqodooqoosq. Give prob of picking 2 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*712\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113 and 4?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644130, 644118, 644100, 644076?\nAnswer: 644046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) - (sqrt(315)*1 - sqrt(315))) + sqrt(315))\/sqrt(7) - ((4*sqrt(180) + sqrt(180))\/sqrt(4) - sqrt(45)))*-5*-4.\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2951b + -65?\nAnswer: 29486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {u: 1, l: 1, x: 3, e: 2, a: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7) + -5)**2 + sqrt(57)\/(sqrt(18)\/sqrt(6)) + sqrt(19).\nAnswer: -8*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 2823*x**8\/56 + 375*x**4\/4 + 1136*x. Find the third derivative of u(v) wrt v.\nAnswer: 338760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 - 24*h - 11. Let v = 218 - 210. Calculate the remainder when l(v) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -214, -776, -1876, -3694?\nAnswer: -6410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/((s*(s\/(s\/(s\/(s\/((s**6*s)\/s)))))\/s)\/s*s*s*s)*s*s**(-4\/9)*s\/s**(2\/3))\/((s\/s**5)\/((s**(-2\/3)\/s)\/s))**(-5) assuming s is positive.\nAnswer: s**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 193629725?\nAnswer: -193629725.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139933, 279830, 419727?\n\"Answer: 139897*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 60 = 4*n. Let m = n + -11. Solve 0*a + a = -g + 4, 4*g = m*a - 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -136, -143, -114, -37?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 25*y + 655. What is p(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (-198)\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 434549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23514962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13704 + -13704.09. Which is greater: z or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33 = 99. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -18. Let h be 4\/l + 144\/14. Let v be (-84)\/(-12)*(-3 - 96\/(-28)). Solve 2*k - 4*j - 14 = 0, 5*k - 2*j = v*j + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*f + h, 64 = 5*f + 2*h - 5*h. Let s(v) = v + 3. Let u be s(-7). Is (-114)\/u*f\/21 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -3\/8 (c) -14\/355 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 1. Let x(q) = -q - 8. Determine 4*b(f) + 2*x(f).\nAnswer: 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 200 = -245. Suppose 7 = -88*m + j*m. Suppose -m*n = -20*n + 195. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 5*f**3 + f**3)*(0 + 6 - 3 + (-4 + 4 - 2)*(-4 + 2 + 1)).\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3194760*r - 3194760*r - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 604440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7782937812 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Suppose -2*b - 6*p + 263 = -3*p, -m*b = 2*p - 514. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -17. Let f be q + (0\/(-3))\/(-4). Solve -f*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 47 = 2*f + 132, -5*v + 832 = -f. Calculate the remainder when 1145 is divided by v.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*x - 340 = 0, -3*x + 1019 = 3*s - 25. Suppose 5*h = -0*h + s. Round h to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (132 + 53 + 401)*(-3*k - k + 5*k) in the form p*k + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3160 - 1886. Suppose -5*c = 3*l - j, -l + 204 = c - 52. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/4 - 2*u**3\/3 - 3*u**2\/2 + 5*u + 3. Let y be c(3). Round y to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-6)*2\/3. Sort -1, -0.5, u in ascending order.\nAnswer: u, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15602 and 10730.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539348598 divided by 2.\nAnswer: 269674299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -18*2716\/8 + (20 - 4)\/(-8). Which is smaller: w or -6114?\nAnswer: -6114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485720 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4804188, -0.1 in ascending order.\nAnswer: -0.1, 4, 4804188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 597283909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guaau. What is prob of sequence uaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 + -14 - -18) - (0 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 531 and 17.\nAnswer: 9027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/3 - 368*n**2\/3 + 743*n\/3 + 370 = 0. What is n?\nAnswer: -370, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 10. Let l(i) = i**3 - 7*i**2 + 12*i - 7. Calculate the smallest common multiple of j(-6) and l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/13 in 1\/4, -0.06, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -39290?\nAnswer: -29\/19645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5419, 10840, 16261?\nAnswer: 21682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*-296.97\nAnswer: -2969.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o - 136*o + 38 = -73*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277305 is divided by 276293.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 2*d - 6. Let m be n(3). Let k = m + -1. Let l = 123 + 28. Calculate the remainder when l is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3306 and 13794?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3016700 by -6220.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 4, p: 2, t: 2, f: 4, i: 1}. What is prob of picking 1 i and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 168, 373, 658?\n\"Answer: 40*j**2 + 5*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**4)\/i**(-5\/3))\/(i**4*i**10*i) assuming i is positive.\nAnswer: i**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by ((-6)\/15)\/((-2)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5. Let n(i) = 2. Let c(d) = 3*b(d) + 7*n(d). Let o(z) = 17*z**2 - 8. Let m(v) = -5*c(v) - o(v). Differentiate m(j) wrt j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p**2 - 64*p**2 + 22*p**2 - 6*p + 24*p**2 - 4.\nAnswer: -2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 205 = 181. Solve -9 + 33 = -k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -189, -4?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-9)\/(-18) + 1 + -230. Let o = -201 - q. Calculate the remainder when 161 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4459765849.\nAnswer: 7, 11, 23, 228929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 16. Which is the nearest to u? (a) 5\/2 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001405084 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/k*k*k**(1\/3)\/k*k)\/(k\/k**0*k**(-2\/3)) assuming k is positive.\nAnswer: k**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 10*w**2 + 8*w - 6. Let i be z(-9). Let j = 7 + -5. Suppose -i*o = q - 107, -j*o + 4*o - 78 = q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 135. Let r(q) = 5*q**2 - q**3 + 2*q**3 - 4*q**2. Let i(h) be the third derivative of h**6\/30 + 2*h**5\/15 + h**2. Give z*r(g) - i(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/95)\/((-9)\/(-300)). Solve -g*x - x = 42 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 (base 14) in base 11?\nAnswer: 5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338 - 339.39. Let d = 595.32 + -596.709612. Let y = d - p. What is y rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065107 rounded to 6 dps?\nAnswer: 0.000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101100?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2003330 + -5120?\nAnswer: -2012450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.98 + 25. What is o rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 divided by 6\nAnswer: -111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + -121031444?\nAnswer: -121031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262\/11 greater than or equal to 206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -7 (b) 0.06 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from vvkkvvvvvkvvvvkk.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.08, 0.2 in descending order.\nAnswer: 10, 0.2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 + 7*b**2 - 10*b**2 + 3*b**2 in the form i*b + v*b**2 + s and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -2*m, 4 = 4*k - 0. Suppose 6 = w + m*x - 2*x, 4*x = w - 6. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 2*z**2 + 0*z + 3*z**2 - 16*z.\nAnswer: z**2 - 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o - 5*o + 2*o + 5*o**4 + 7*o**2. Let u(f) = -3*f**4 - 5*f**2 - 6*f. Let v(j) = 5*i(j) + 7*u(j). Find the second derivative of v(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 893, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -18. Suppose h = 3*j + 29. Does 6 divide -1*j*(-3)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452119 divided by -1049.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 2.59999787. What is r rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 912.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 21, 0.01, 1\/8, 120 in descending order.\nAnswer: 120, 21, 0.5, 1\/8, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-6) - 515\/103\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 143563?\nAnswer: 143563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -418 - -422. Solve -2*y - c*y + 30 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*c**3 + 149*c**3 + 3*c**2 + 302*c**3 - 3*c**2 - 717*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - q**3 - 2*q**2 + 6*q**2 - 8*q**2 + 1. Suppose -5 = u - 3. Let y be 84\/(-16) - u\/8. What is n(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 1501 (c) 2 (d) 3 (e) 3\/17 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -777 + 6283\/8. Calculate the common denominator of (-706)\/(-60) + 1\/3 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*-2*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/30*10 - (-162)\/(-54). Let o = -49 + 80. Calculate the highest common factor of o and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 4463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4) + 0 - -30. Suppose 3*t = -4*i + z, -5*i - 3 = t - 23. What is the common denominator of 2\/((-66)\/141) + i and -35\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/6, -174\/19?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19*f**2 + 79*f - 97. Determine c(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(0\/5 + 3). Solve -2*q - 5*j + 3*j + b = 0, 35 = 5*q + 3*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -338385, -676745, -1015105, -1353465, -1691825, -2030185?\n\"Answer: -338360*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2105000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 2397445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*9927\/6618\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4107 * -0.3\nAnswer: -1232.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*r + 14587 = 5*z + 14599, -15 = 3*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-12)\/(-198))\/((-6)\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 1. Let q be t(1). Let l be 6\/(-15) + q\/5. Solve 4*y = d - 2 + 11, l = -d - 4*y + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 - 823*z + 1078. What is the hundreds digit of a(-118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/29, 5\/12, -0.3 in descending order.\nAnswer: 5\/12, 3\/29, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774534046 a multiple of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37731202 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 90 = -0*g. Suppose 7*z + p = 5*z + g, -5*z + 23 = -p. Let y = -5 + 23. Solve -4*k = k - 25, -2*c + z*k - y = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25277274343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(468) - (-4*(-2 + sqrt(468)))**2 - 3*sqrt(468)*-3) + -2.\nAnswer: -7557 + 444*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*sqrt(3)*2 - (sqrt(3) + (sqrt(6)\/sqrt(2) + -2)**2 + 0).\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 364.99 - 365. Let h = -7.99 + g. What is the smallest value in h, 0.2, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 8. Let d be b(-8). Let s = -9 - d. Let c = -3 + s. Solve 4*q + 0 = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30490.088509 to the nearest 10.\nAnswer: 30490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = 14 - 94. Suppose x*g - 27 = l, -g + 8*l - 5*l = -15. 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: b\"What is the hth term of -49, -72, -111, -166?\n\"Answer: -8*h**2 + h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -103.7\nAnswer: -15.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -11 + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b - 0 + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 9*b - 29 + 27 to the form o + n*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/48 + k**4\/24 + k**3\/24 - 6*k**2. Let n(i) = 0. What is i?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z - 15 = 32*z + 9*p, -4*p = 5*z + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1937 + -d?\nAnswer: 192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-2))\/((-6)\/(-48)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 2, q: 8, y: 4}. What is prob of picking 3 y?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2313 + -2323. Let d be (-154)\/(-35) + l + 6. Suppose -1\/5*p**4 + 0 - d*p**3 + 2\/5*p + 1\/5*p**2 = 0. What is p?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3253 = -389. Let p be 1\/((-4)\/12) + 2*l. Suppose 2*g + 227 = o - 2*g, -5*o + g + p = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.366 (b) 5\/2 (c) -0.2 (d) 1\/6 (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100 + 101101221201?\nAnswer: 101101202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.028 (c) -0.05 (d) -20 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(2) - sqrt(3872)) + -3 + -5 + 1*sqrt(2) + sqrt(2) + 4.\nAnswer: -41*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 2*d. Let r be n(2). What is the tens digit of (-748)\/(-36) - (-8)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:28 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 3*b + b)*(-3 - 2 + 6) - 2*b + 3*b - 5*b + (4 - 1 - 2)*(b + 2*b - 2*b))*(-3*b + 2*b + 4*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(((k**(-8\/7)*k)\/k*k)\/k*k))*k*k)\/(k*k**(-17)*k)*(k**(4\/5)\/k)**(-40) assuming k is positive.\nAnswer: k**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**2 + 61825325 + 61825323 - 123650648.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -133, -297, -517, -787, -1101, -1453?\n\"Answer: i**3 - 37*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 3348016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3036 + 3075. What is the remainder when 67 is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 858*z - 858*z - 14 + 24*z**4 wrt z.\nAnswer: 96*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 257*q. Let v(n) = n. Give u(v(b)).\nAnswer: 257*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l**3 - 9*l**2 + 6 - 12*l**3 + 37*l**3 - 11*l**3 + 18 to the form h + u*l + s*l**2 + f*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*n - 13, 2*n - 35 = 4*r + 17. Let x(z) = 18 + 24 - 80 + 4*z - z + 27 - 4*z. What is x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*t**6 + 29*t**5 - 42*t**4 - 362*t**2 - 4*t wrt t?\nAnswer: 600*t**3 + 1740*t**2 - 1008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.2 + -27. Let k = n - 1.9. Let s = 35 + -30. Which is the nearest to 0? (a) k (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 6532*j**2 - 129184*j - 232272 = 0.\nAnswer: -1613, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 475\/1018 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064179163 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1740)\/4350)\/(12\/25).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/24 and (-20)\/((-60)\/6) - 86\/(-72).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-198)\/(-1452))*1\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 868 and 1300.\nAnswer: 282100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -3.08. Let t = -0.868 - -1.591. Let z = 0.823 - t. Which is the fourth biggest value? (a) 0.3 (b) -5 (c) z (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = a - 36, i - 4*a - 38 = 3*i. Is -16 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/9633 + -231962\/3708705. What is the common denominator of -19\/28 and a?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -750329.\nAnswer: -750329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2078073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*(-1 + 3). Suppose n + 8 = 3*x. Is (5 - 7) + x*4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 9 - 9 + 0 - 1 - 6*c + 4*c**2. Let b be w(-5). Suppose 0 = -b*y - 4*g - g + 2, -2*y + 5*g = -16. Solve -10 = y*u - 2*f, f = -u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32712265.\nAnswer: 5, 6542453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 14 = -4*j, 3*j - 587019 = 2*d - 587012 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2 + -2 + (sqrt(162) - (-2 + sqrt(162) + 5)) + 5)**2.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d + 16*d**4 + 10*d - 18*d - 21*d**2 wrt d?\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 21 = o - z*n, -n - 1 - 2 = 0. Let k = 25 + o. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 26. Let h = -3.034 - -0.034. Which is the closest to t? (a) 5 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -61*z - 2. Let l(g) = 87*g**2. Determine k(l(s)).\nAnswer: -5307*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -2222\nAnswer: -19\/2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5324 is divided by 203.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -52*w - 1165. Calculate c(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - -9. Suppose -3*f = -2*r - 225, 4*f + 3*r - 359 + p = 0. Let h = f + -43. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - b + 64218 = 64192, 2*b - 27 = 7*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*g - 335 = 0, 0*g = b + 3*g - 84. Suppose 4*l + 3*a + 219 = 4*a, -5*a = -l - b. Let k = 108 + l. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*u - 31 = 0, 334*u = -c + 345*u - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/116 and -43\/5.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3 - 5267572*i**2 - 10535147*i - 5267574 = 0. What is i?\nAnswer: -1, 5267574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-8))\/((-1)\/198166). Let p = 24463 - k. Let x = p + 13649\/44. Calculate the common denominator of 55\/3 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 421 + 3185. What are the prime factors of u?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122634877 is divided by 721?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:13 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2234077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591800507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111100110 (base 2) in base 11?\nAnswer: -19a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1\/((-68)\/881) - (4 - 16))?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307816.\nAnswer: 2, 163477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(504))\/sqrt(2) - 5*(((sqrt(189)\/sqrt(3))\/sqrt(9))**2 + sqrt(7))) + 2.\nAnswer: -33 + 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l**2 + 27*l**3 - 24*l**2 - l**2 + (-4*l**3 + 5*l**3 + l**3)*(-4 + 3 + 0) as a + g*l**2 + b*l**3 + q*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 7*c**3\/3 - 13*c**2\/2 + 18*c - 84. Differentiate l(q) with respect to q.\nAnswer: 14*q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1937835 and 387567.\nAnswer: 1937835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 6\/17, 1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278613642 + -1081056.\nAnswer: 277532586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + 2*sqrt(768))\/(-6*(sqrt(6) - sqrt(54)))*5.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.026 (b) -1012\/843 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 511 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - q**3\/2 - 19*q**2 - 1971*q. Determine m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 42. Calculate the highest common factor of 98 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*h + 53. Let y be (h\/(-5))\/((-2)\/(-22)). Let o = 73 - y. Which is smaller: 1\/7 or o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 192, 442, 802, 1278, 1876, 2602?\n\"Answer: i**3 + 46*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 25*h**4\/4 - 2*h**3\/3 - 5*h**2 - 61*h. Find the second derivative of l(u) wrt u.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b - 340. What is the least common multiple of 84 and m(20)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3668 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 936 + -938. Which is the second smallest value? (a) 0.5 (b) t (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3499 is divided by 134?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5))**(3\/4))**(-16\/5) assuming c is positive.\nAnswer: c**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + (-18)\/14. Let d be 1 + ((-247)\/3)\/g. Let k = d + -82. What is the nearest to -0.1 in k, 3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 15*f = 6. What is the highest common divisor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 + 132 = 10*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:33 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/(6\/(-24)). Let b(q) = 2*q**3 - 3*q + 3. What is the lowest common multiple of b(d) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m - 7*m - 14*m)*(2*m + 2*m - 7*m)*(3*m**2 - 2*m**2 - 2*m**2) as t*m**4 + o*m**3 + h + b*m**2 + u*m and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/5)*o*o)\/o)**(2\/75)\/(o\/o**(4\/5)*((o*o*o**(2\/15))\/o)\/o) assuming o is positive.\nAnswer: o**(-103\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -113\/3. Suppose -j - 6 = 2*j. Let z be -1 + 2 - (j + 3). Is r at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) 1\/3 (c) 0.007 (d) 34458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 59*s**2 - 19*s**2 + 163*s**2 - 32*s**2.\nAnswer: 53*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010 - -1011001010101?\nAnswer: 1011011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 17 + -9 + -27 + (-9 - 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 1 + 1)*((n + 3*n - 2*n)*(5 + 0 - 3) + 0 + 0 - 2*n - 104*n + 53*n + 55*n).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725285964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 8*c = -10*b + 48, 12 = 4*c + 4*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230432331 - -1?\nAnswer: -230432330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4591 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2\/5 (b) -53.3 (c) -0.1 (d) -3 (e) -17 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*j**3*x + 2*j*x + 718*j + 133206*x with respect to j.\nAnswer: -39*j**2*x + 2*x + 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 30 = 5*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(15) + sqrt(135))*3 + (sqrt(60)*2 - sqrt(15))))\/((sqrt(200)*-1)\/(1*sqrt(1440))))**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.1 - 18. Which is the second biggest value? (a) r (b) -0.3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:56 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*u - u - 24, -5*u + 60 = -q. Let s be 15\/4 + u\/(-16). Factor 1\/4*r - 1\/2*r**2 + 0 + 1\/4*r**s.\nAnswer: r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 16*t - 45. Let n be l(-11). Is n < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1219 - 460. Is 760 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 105 = -7*k. Let i = -107 + 111. Let p be (k\/(-6))\/(-2 - (-10)\/i). Calculate the highest common factor of p and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x - 751*x + 3 - 947*x.\nAnswer: -1663*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(19)*-1 + sqrt(228)\/(-2*sqrt(12)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14478 divided by -19.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -258\/7, 1 in decreasing order.\nAnswer: 4, 1, -258\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -13*y + 80 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -9, 2, 17, 36?\n\"Answer: 2*t**2 + t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1865)\/1119*(-612)\/(-15).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (11 - (-3 + 5))) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5206658187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421211424 + 2?\nAnswer: 421211431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkkkklwwkkkwkkwuwaa. Give prob of sequence kk.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5, b: 1, r: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 2*z + 1. Let j(u) = -5*u**2 - 6*u + 3. Let p(v) = 3*j(v) - 8*q(v). Determine w, given that p(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dd (base 16) in base 12?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*y = -385*y + 3072 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -987b5 + 7?\nAnswer: -987ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3 + 3*n**2\/2 + 3*n + 236. Let d(a) = a + 1. Give 2*d(m) - q(m).\nAnswer: -3*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639.97 plus 3741?\nAnswer: 101.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 34*q - 3. Let u be o(3). Suppose -10*n + 14 = -8*n. Let s = 16 - n. Calculate the greatest common factor of u and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 35915.\nAnswer: 323235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105178066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30d2 + -2?\nAnswer: 30d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -23. Solve 3*u - 4*r = -b, 4*r = -3*u - r - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.96 - -0.04. Suppose 9 - 25 = -2*p. Let x = 6 - p. What is the nearest to 1\/5 in 1, m, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798495514?\nAnswer: 2, 3, 23, 683, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170080 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1135 - 370 - 396 + 958 + 522)*(2*t - 2*t**2 - 2*t) to the form k + h*t**2 + y*t and give h.\nAnswer: -3698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*p = -151*p. Suppose -518 = -5*b + f - 5*f, p = -3*b - 5*f + 303. What is the remainder when b is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13 + 17*h**2 - 3*h + 8*h + 4*h - 18*h**2. Let m be u(10). Solve 0 = -3*q + q - 4*i + 14, m*q = i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.054773 - 231.464773. Let p = 6 + -236. Let x = v - p. Round x to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998800.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -38, 1, 8184, -4.\nAnswer: -38, -4, -2, 1, 3, 8184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 2. Let y = 8 - 6. Suppose y*h - 9 = -h. Let i(x) = -x - 2. Calculate h*i(o) + 2*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.41 - -6.29. Let f = 54 - v. Let d = f - 1.3. Which is the nearest to 1\/3? (a) 4 (b) 8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p = -37*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w. Suppose w = -5*i + 34 + 1. What is the remainder when 5 is divided by i - (-1 - 3)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-6)*(-227)\/((-103285)\/(-420))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34403856 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 7*c - 18. Calculate t(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 993 or -561.2?\nAnswer: -561.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let l(j) = 21*j - 15*j - 23*j. What is l(z(d))?\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-12)*(-1474)\/18. Let f = y + -245. What is the closest to -0.1 in 4\/5, f, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147 times -15.9?\nAnswer: -2.3373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.3084 and -1700548.\nAnswer: -1700533.6916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4826 - 14691 - 40415 = 5053*s + 167453 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 9*t. Let x(y) = -y**3 - 2*y**2 - y + 199. What is the hundreds digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173785243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -7*c**5\/30 + 5*c**2. Let b(g) be the third derivative of g**4\/24 + 327*g**2. Give m(b(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4.2 (c) 1\/23339 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-5 + 2))\/(-1). Suppose -l*y + 7*y - 2*k = 4, y = k. Which is the closest to y? (a) -2 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 + 2854555*h + 2854550 = 0. Calculate h.\nAnswer: -570910, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*h = -12, 4*o + 5*h = 3 + 4. Let r be (-3)\/(0 + (-2)\/(-2)). Let w be (-6)\/(-7)*84\/18. Sort r, w, o in decreasing order.\nAnswer: w, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-three fifths of a second?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 - 3)) + 35 + -36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g - 12 = p, 2*g + 12 = 5*p. Suppose 0 = z + 3*z + p*r + 48, 2*r = 0. Which is the second smallest value? (a) z (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 5*h - 23, 2*t - 12 = 2*h. Suppose -12*q = -t*q + 15, 226 = 5*f - 2*q. Calculate the greatest common factor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -85.66. Let g = x + 14. Let y = 1.3473 + g. What is y rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10292835 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/307632 and 71\/76908.\nAnswer: 307632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7670 and 55\/177?\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1679 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = -5*f - 0*f. Let n = -61 + f. Let l(j) = 2*j**2 - 3*j - 3. Let t be l(-3). Calculate the highest common factor of t and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12403 and 32185.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/16)\/(6\/9))\/(1*(-13)\/104)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p - 143*p + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 7:43 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 - 2*f**3 + 2*f**3 + (-22*f + 10*f**2 + 22*f)*(-2 + 2 + f))*(114 + 116 - 172 + 367) as a*f**3 + y*f + k + l*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -252461.5 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 214. Let m = -29\/78 + 1\/26. Which is the third biggest value? (a) f (b) -3\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -2) + -5 + 4. Suppose 0 = 4*t - p*t - 3. What is the second derivative of -2*v**3 - 10*v**3 + 0*v**3 + 28*v - 3*v**t wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 183.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 477a (base 11) to base 6\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197.209 centuries in years?\nAnswer: 119720.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4 + 3*m**3 - 2000 + 2000 - 4*m = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -3.92. Let d = -4.024 - m. Round d to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978235.\nAnswer: 3, 5, 13, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23620, 23634, 23656, 23692, 23748, 23830, 23944?\nAnswer: 24096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10000110101111111000100?\nAnswer: -10000110101111110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (54 + (-36384)\/672)*-539\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -635, -11, 38, 8 in increasing order.\nAnswer: -635, -11, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b\/(b*b*b\/(b**2*b)*b*b*b*b)*(b\/((b\/b**(1\/4))\/b)*b)\/(b*b*b**0*b) assuming b is positive.\nAnswer: b**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 5*l**2 + 2*l - 3. Let t be a(-3). List the prime factors of ((-21)\/(-2))\/(t\/(-24)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 149 = 5*u, 4*v + 0*u - 331 = u. Let n = -4809 - -4844. Let z = v - n. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-2)*((-33)\/30 - 21\/(-35)). Solve c*l = 77*k - 73*k - 22, -4*l = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181067 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -204*y**2 - 8*y. Let t(r) = -2*r**2 - 2*r + 37. Let v(p) = -64*p**2 + p - 74. Let u(h) = 2*t(h) + v(h). Give -3*j(w) + 8*u(w).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -111. Suppose -i*w = g - 31*w - 557, 3*g - 1691 = -4*w. List the prime factors of g.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 5. Let g(v) = -4*v - 16. Let x(m) = -2*g(m) + 7*s(m). What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 48*h**2 - 8. Suppose 0 = 50*g + 950 - 240 + 490. Determine c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/((f**(-10\/9)*f)\/f*f)*f**5*f**(3\/8)*f assuming f is positive.\nAnswer: f**(323\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3. Suppose 5*h = 2*w - 29, -w + 50*h = 49*h - 10. Give z(w).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21648, -43296, -64944, -86592?\nAnswer: -108240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (5 - (18 - 4) - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 25*a + 4 = -2*o, -3*a + 3 = -4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 5*a - 5*a + 2*a + (-2*a + 2*a - 2*a)*(-441640*a - 927*a**2 + 441640*a).\nAnswer: 1850*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*r = -12 + 28 - 28, 4*m = -5*r - 27 + 7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*o + o, -2*o = 2*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 + 5*h - 107)*(-2*h + 0*h + 3*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -34, 2\/3, 2, 1.4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-168)*-3*(-24)\/1044.\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = -2*n + 7*x + 8458025, 2*x + 4228990 = n. Round n to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 63\/1385?\nAnswer: 63\/1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -5127.1.\nAnswer: -5127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002069 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:24 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94.45 - 1.32.\nAnswer: 93.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*a + 3*a + 0*a + (-1 + 4 - 2)*(4*a - 5*a + 3*a) - 3*a - a - a + (-4*a - 2*a + 4*a)*(4 - 4 - 2).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 227*g - 218*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -44*y**2. Let t(h) = -8*h - 3. Give x(t(l)).\nAnswer: -2816*l**2 - 2112*l - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4335771.6 microseconds to hours.\nAnswer: 0.001204381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*j - 105*j + 4*j**2 - j**2 - 94*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 14*v - 58. Calculate h(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -0.2, 0, -0.6 in descending order.\nAnswer: 5, 0.1, 0, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 29 - (1 - (-2 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1023720039 to the nearest one hundred thousand.\nAnswer: -1023700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*y + 3, 2*y = -5*o - 0 - 9. Suppose -22 = -3*i - 16. Let h(x) = 2*x**2 - x - 1. Let r be h(i). Put y, r, 0 in increasing order.\nAnswer: 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2495 less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.06. Let k = -0.16 - b. Let t = k - -0.2199982. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20582159 is divided by 310.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from bjjbbbbbjej?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134036, 267810, 401334, 534614, 667656, 800466, 933050?\nAnswer: 1065414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*o = 0, 3*u + 6 = 8*u - 3*o. What is the first derivative of 569*x**2 + 4 - 569*x**2 + 2 - 11*x**u wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**3 + 4*y**2 + 4. Let g(z) = 17*z**3 + 5*z**2 + 5. Let f(d) = 4*d**2 - 27*d - 26. Let m be f(-1). What is m*c(o) - 4*g(o)?\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -557*b + 418. What are the prime factors of z(-14)?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3c7?\nAnswer: -3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/32*(-506)\/(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2409\/7 and -345 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1753349440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 129*q**2 + 2*q + 1. Let a be b(-1). Let y = 35 + -19. Calculate the greatest common divisor of a and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + q = -8, -2*a = -6*q + 4*q + 2. Suppose 0 = -n - 3*n - 5*v + 31, 0 = a*n - 5*v + 3. Sort -1, -11, n.\nAnswer: -11, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -18, 10 in descending order.\nAnswer: 10, 7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 6759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043 (base 8) to base 6.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8461 - 8461.0064387. Round c to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4968, 9928, 14888, 19848, 24808?\nAnswer: 29768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - -19) + -21 + -5 + 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.10905, -1.\nAnswer: -2, -1, -0.10905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = y + 5*a - 15, -4*y + 2*a = -66. Let q(w) = w**2 - 14*w - 2. Let r(g) = -3*g**2 + 42*g + 6. Calculate y*q(i) + 6*r(i).\nAnswer: -i**2 + 14*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 290, 274, 250, 218, 178?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocpp when four letters picked without replacement from oocopppoopc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**5\/20 + q**4\/3 + 2*q**3\/3 + 2*q**2 - q - 5. Let t(w) be the first derivative of x(w). What is the tens digit of t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203122 (base 5) to base 12.\nAnswer: 3a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 4, 1, 2, 10 in increasing order.\nAnswer: 1, 2, 4, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 106417*c**2 + 2831410496*c - 14154392180.\nAnswer: (c - 53206)**2*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -444668 (base 13) in base 2?\nAnswer: -110001000111001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -229997487 divided by 76665829\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116513 and 2?\nAnswer: 116515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93\/914 + 115485\/1175404. Let x = 14318\/3215 + w. Let o = 414\/41 - 89\/492. Calculate the common denominator of x and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p - 44. Let n be k(14). Suppose -652 = -4*f + 4*r, f + 3*r - 178 = -r. Suppose 5*x - n = f. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -394611*j + 10226 wrt j?\nAnswer: -394611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*63\/1800*195\/(-546)*(-12)\/15\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -5\/12*v**2 - 12 - 1\/15*v**5 - 1\/2*v + 5\/18*v**3 + 5\/24*v**4. Find p, given that s(p) = 0.\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 10) to base 3\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11065126?\nAnswer: 2, 5532563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i**3 - 34*i**3 - 161*i**3 - 35*i**2 - 175*i**2.\nAnswer: -145*i**3 - 210*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2727 and 218665.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 13*m**3\/6 + 7*m**2\/2 - 3*m. Let d(u) = 7*u + 4. Let v(x) = -11*d(x) + 6*y(x). Determine v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 18689?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2105 divide 44477243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -42, 2 in descending order.\nAnswer: 2, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-210))\/((-4428)\/(-1722))*12\/2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**2 + 25*v**2 - 53*v**2 - 60*v**2 to the form p*v**2 + h*v + n and give p.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 4*y**2 - 238*y + 5*y**2 - 6*y**2 + 17*y.\nAnswer: -2*y**2 - 221*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -810160 divided by -62320?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17643410 is divided by 172.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2*r**2 - 4*r**3 + (1 - 1 - r)*(r**2 + 3*r - 3*r) + 17*r**3 - 18*r**3 - 19*r**3 + r**3 - r**3 + r**3.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-21624)\/272 - -82)*(98\/5 - (-3 + 1))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j + 4 - 3*j**3 - 4*j - 6*j**2 + 5*j**3. Determine z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-2)\/(-3)*(-624)\/(-416)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*-2 - (sqrt(1053) + 0 - sqrt(13)))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128286 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81758105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - g**2 + 0*g**2 + (1 + 2*g - 1)*(-g + 0*g + 3*g) - 2*g**2 - 2*g**2 + 6*g**2 - 2*g**2 + 4*g**2 + 3*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3994 - -11969. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/19 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23250, 23476, 23700, 23922, 24142, 24360?\n\"Answer: -r**2 + 229*r + 23022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*r + 5*r = 58, -5*r + 116 = -4*u. Suppose -2*q + 113 = -11. Let w = u + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -25 (c) 5 (d) 0.2 (e) 2\/73 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 925, 1981, 3143, 4405, 5761, 7205, 8731, 10333?\n\"Answer: -d**3 + 59*d**2 + 886*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - -123) + (2 + (-4 - -2) - 3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(8\/5))\/s**(-6\/7))\/(s\/(s*s**(2\/45))*s\/(s*s*s*s**(-10\/9)\/s)))**(-1\/29) assuming s is positive.\nAnswer: s**(-25\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12*r - 25. Let m(v) = v**2 - 9*v + 3. Let f = -2 + 8. Let w be m(f). Is q(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -362, -1477, -3360, -6029, -9502, -13797, -18932?\n\"Answer: -3*l**3 - 366*l**2 + 4*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*d**2 - 839*d**2 + 1545*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783170753.\nAnswer: 5783170753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -8. Let g = n + -2. Let h be (-4 + -1)\/(3 + 3 + -5). Put g, -0.2, h in descending order.\nAnswer: -0.2, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -2989 (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25935 and 259605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1)\/sqrt(11)*4 + 5.\nAnswer: -8*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 66*y**3 - 6*y**2 + 7. Let f(c) = -c + 3. Let h be f(9). Let x(l) = -133*l**3 + 13*l**2 - 15. Let w(a) = h*x(a) - 13*r(a). Does 30 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 5. Let n be c - (-2 + (2 - -1)). Let j(s) = -s**3 + 7*s**2 + s + 3. Is j(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 126.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -4, -230, 19 in ascending order.\nAnswer: -230, -35, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 22359\/221?\nAnswer: 22359\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179427 is divided by 83?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 25*o**2 - o + 40. Let n be a(25). Let r = -43 + 46. Factor -3*f**3 + n*f**2 + 5*f**4 + 5*f + 13*f**3 + 5*f**r.\nAnswer: 5*f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1869\/29 - 60449\/870. What is the common denominator of -149\/150 and v?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 1, e: 2, j: 2, r: 2, p: 4}. Give prob of picking 1 p and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -116598 = -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 22. Suppose 0 = 5*c - 4*g - 136, c - g - r - 14 = 0. Let d(l) = -l**2 + 1. Let k be d(-1). Solve -2*j - 4*z = 6, -5*j + 3*z + k*z + c = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -22*r**2 - 3*r - 1. Let t be c(2). Let w = -43 - t. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 100136*s**4 - 200260*s**3 + 100128*s**2.\nAnswer: -4*s**2*(s - 25032)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13715376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-36 + 23)) + -50.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*o = -i - 36, -3*i + 180 = -3*o. Let l = -3 + 7. Suppose -l*g = 2 - 30. Calculate the greatest common divisor of i and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - 2346\/33) + (-1)\/11*-1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 102 = -2*y, -9*g - 3*y + 99 = -5*g. Suppose 122 = a + 4*b, -6 = -3*b + 6. Calculate the remainder when a is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 2 - 1\/1. Let c be 2*(k + (-33)\/(-6)). What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*f**3 + 137*f**2.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1453.425692 to 0 decimal places.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-608)\/(-190))\/((-5)\/25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3395, -3385, -3375?\nAnswer: -3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (20\/30)\/(2\/228)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 14*y = -4665. Suppose 59 - y = -s + h, -10 = -5*h. List the prime factors of s.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*f**4 - 9556*f**3 + 120113*f**2?\nAnswer: -432*f - 57336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1101191803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -13. Let l = d + 13. Suppose 0 = -g - 2*j + 4, 95 = 5*g - l*j + 15. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q + 55. Let x be a(0). Suppose -2*z + x = 3*m, 4*z = 3*m - 0*z - 25. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnn. Give prob of picking 2 n and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, o: 7, a: 1, k: 1}. What is prob of sequence okww?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 = 4*b + 2, -3*b = 4*g - 24. Suppose 5*a = 6 + b. Let m be 2 - 2 - (-1 - 0). Solve a*r = -11 + m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/26 (b) -4 (c) 5\/6 (d) 1 (e) -0.2 (f) 572\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-180 + 19 - 135)*(-23*n**3 - n + 11*n**2 - 11*n**2) as q*n**2 + v*n**3 + f + w*n and give v.\nAnswer: 6808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 - 2*w. Let t(o) = 4*o**3 - o. Suppose 18 = k - 4*k. Let l be -2*(-3 - 27\/k). What is l*x(i) + 4*t(i)?\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -3 - (-2 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*z, -10 + 4 = 3*z. Calculate the lowest common multiple of 18 and (8\/(-3))\/b*-12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-1320) - (-33)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30647 = 25*m - 16253. Calculate the greatest common divisor of m and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 19 = -a + 19, -4*a + 3*u + 95 = 0. What is the remainder when 94 is divided by a\/(-156) + (-2 - (-597)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, o: 1, x: 2, h: 1}. What is prob of picking 1 h and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93 and 2284.27354.\nAnswer: 2191.27354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -218862 less than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7531, -7473, -7415, -7357?\n\"Answer: 58*c - 7589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125562873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431 - -20?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2. Let x(v) be the third derivative of 22*v**4\/3 + 3*v**2 + 4*v + 65. Determine g(x(m)).\nAnswer: 123904*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484*i**2*n + 2*i**2 + 8*i + 3*n - 5 wrt i?\nAnswer: 968*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 76059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2191660 = 5*h, -26*y - 5*h - 1314990 = -23*y. Let t = 172935 + y. What is t rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 7972590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12150, -48419, -108810, -193323, -301958, -434715, -591594?\n\"Answer: -12061*l**2 - 86*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 650.29 - 653. Let a = -2.81 - i. Is -80.1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(6\/5)\/n*n)**44)**(-12))**46)**(-1\/11) assuming n is positive.\nAnswer: n**(13248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w = -47*w - 744. Factor 34*i**2 + 35*i**2 - 5*i - 2*i - i**3 - 108*i**2 + w*i**2.\nAnswer: -i*(i + 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.8, -3\/7.\nAnswer: -0.8, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 711625240 a multiple of 3401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 122, 286, 516?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 6. Let g(l) = -l - 1. Let d(k) = a(k) - 3*g(k). Suppose 4*h - 7 - 5 = 0. Let p be d(h). Solve p*v + 12 = 4*v - 4*z, 3*v - 5*z = 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100000111010001101111 (base 2) in base 14?\nAnswer: -252b1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 2*q + 7. Suppose -663*r = -667*r + 4*n - 24, -4*r + 5*n - 28 = 0. Let j(g) = -g**3 + g + 3. Determine r*p(m) + 5*j(m).\nAnswer: -m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 - 3*u - 6. Let h(s) = -s**3 - 5*s**2 - 2*s + 7. Let g be h(-3). Determine m(g).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 42993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40246560 and 7378536.\nAnswer: 442712160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4997369.\nAnswer: -2\/4997369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34502.57 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 + -189. Suppose u*g + 3*t + 895 = 0, 2*g - 2*t = 5*g + 672. Round g to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*x - 6, -2*x = 2*w - x - 12. What is the remainder when 15 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**2. Let u(t) be the first derivative of -t**2 - 57*t - 2237. Give u(p(c)).\nAnswer: -24*c**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-28)\/35*(-2)\/20?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183749424 - 12*u - 367498839 + 183749415.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**5 - 2721*v**4 + 27465*v**3 - 41295*v**2 - 27462*v + 44016 = 0.\nAnswer: -917, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11\/10 (b) 0 (c) -8 (d) -3\/10 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*c - 3. Let f = 31.3 + -30. Let s = -3.7 - f. Sort c, s, -1.\nAnswer: s, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 a when three letters picked without replacement from {b: 1, m: 1, a: 1, k: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 72121 - 698 = 0. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-120)*3*2\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 767 and 531?\nAnswer: 6903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8*40\/45. Suppose 0 = -4*t + t + 6. Let -w - 2\/3*x**3 - 2*x**t - 2*x = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 8*m - 6. Let k be j(-9). Suppose 0 = -3*v - 4*n + 70, v - 5*n = 1 - k. Let g = 8 - v. Are g and -10 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 + -7 - (0 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2*4)*(20 + 136\/17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1444035 and 192538?\nAnswer: 2888070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2126 - -2666. List the prime factors of h.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 5) in base 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 + 1076 = 10*y. What is the highest common divisor of y and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-6)*(-3 - 0\/9). Suppose -3*k - 850 = -i*k. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 8*p - 7. Suppose 4*a - 5*v - 30 = 0, 0 = 5*a - v - 59 + 11. What is the tens digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*p + 30, 3*u + 2*p + 3*p = -10. Solve u*g = 3*o - 8*o, -o + 3*g = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35617512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x - 18 = -41*x. Suppose -11*y + 120 = -x*y. What is the lowest common multiple of 9 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -269.5 - -270.9. What is the nearest to 1\/4 in 2, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/18)*370\/111.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92966*h + 185927*h - 44*h**3 - 92961*h.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064*d = 1071*d - 23296. What is the remainder when d is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399699.02652 plus 0.706?\nAnswer: -2399698.32052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 558221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - k + 25 = 0, 61849*t - 2*k + 5 = 61852*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 2, e: 1, g: 3, a: 1, p: 1, h: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -2416, 0, -2\/3, 5\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = -2*j + 115. Does 20 divide j\/(-14) - (-21)\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5248 (base 10) to base 15\nAnswer: 184d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16450184 bigger than 131601469\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + 0.22. Let p = -48 - -20. Let l = 28 + p. Which is the closest to q? (a) -1\/3 (b) -1\/10 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:31 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1881?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23 - 7*o + 2 + 4*o + o. Let p be x(-12). What is the third derivative of 2*u**3 - 2*u**2 - 2*u**3 - 9*u**p wrt u?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 26895 = 3*z + 26967, 5*k - 16*k + 165 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35412984, -70825967, -106238950, -141651933, -177064916, -212477899?\nAnswer: -247890882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7029744 divided by 8552.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8 and -181\/570.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 5. Let n be i(9). Let t = n - 6. Let r be 4\/t - 80\/(-36). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 + 3302.6679638\nAnswer: 3071.6679638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37413 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2999023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(2736) + 0 - 1*(1 + sqrt(2736)))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-15*v - 14*v + 2*v) to y + w*v and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 121. Let y be (3\/2)\/(3\/(-6)) - q. Which is the fourth biggest value? (a) -4 (b) -2\/9 (c) y (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*y - 2 = 13, -3*y = u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 34, -102, -344, -692, -1146?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1019 - -59913?\nAnswer: 60932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1228?\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -22*s + 112. Let i be o(5). Let x(q) = 13*q - 129. Let g be x(12). Factor -3\/4*c**i - 9*c - g.\nAnswer: -3*(c + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4280?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 - -303. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.4 + 8.3. Let g = 37.1 - 35. Let x = g + t. Put 3, x, 0.3 in descending order.\nAnswer: 3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483, -0.045, -149.2 in ascending order.\nAnswer: -483, -149.2, -0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22358523*d - 22358523*d + 2*d**3 + 44717046*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 66\/14. Let s(t) = 7*t**2 - 3*t. Let l(p) = -p - 6. Let z be l(-7). Let y be (-2 + z)*12\/6. Let a(q) = -3*q**2 + q. Give c*a(o) + y*s(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263 is divided by 743?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 12*q**2 + 12*q + 20. Let b be f(13). Solve 5*y - 2 = -b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 34.6. Let z = g - -4. Suppose 0 = 2*k + 3*h - 30, 0 = 2*k + 4*h - 19 - 15. Which is the third biggest value? (a) z (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 7 = l, 6*l - 2*a + 23 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2338, -2339, -2340?\n\"Answer: -p - 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 4 - (14 - 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 63, 103, 153, 213, 283?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*s - 4*u, -5813*s - 5 = -5808*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dxfxfkdxxb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + m = 4*t - 12, 4*t - 6 = 2*m. Find the second derivative of f**t + 5 - f - 5 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l + 39. Is w(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3701 by -429.\nAnswer: -3701\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (278\/(-6116))\/((-1)\/(-12)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:23 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 4. Put 1\/2, 0.2, c in increasing order.\nAnswer: c, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.67001km in meters?\nAnswer: 19670.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621.1123 millennia to decades.\nAnswer: 62111.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-135)\/20))\/((-1682)\/(-261))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 731 and 33963593.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 7.8 (d) 139408 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/612*(-1)\/(-5)*3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54485.65nm?\nAnswer: 0.00005448565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 6*r - 20)*(2*r + 3*r + r)*(3*r - 2*r**2 - 2*r - 2*r).\nAnswer: 72*r**4 + 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:32 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:48 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + -2?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 21*w = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15360\/208 + 2\/13. Let g = 20 - 5. Suppose g = k + 2*h, 4*k = -h + 21 + v. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53184 and 352.\nAnswer: 585024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 2*x - x)*(x + 3*x - 3*x) + 2*x**2 + 3*x**2 - 6*x**2)*(x + x - 3*x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, 8, -0.1, 4\/7, -5\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3703.786\nAnswer: 7407.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/28)\/((-6)\/(-8)). Suppose 4*x - 2*l = -2 - 4, 5*l = -4*x + 29. Let m be -2 + x - (-2)\/(-2). Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*l - 474*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 1913*d**2 - 42*d - 4935. Let s(o) = 6*o**3 + 3826*o**2 + 91*o + 9869. Let i(b) = -13*a(b) - 6*s(b). Differentiate i(z) with respect to z.\nAnswer: 9*z**2 + 3826*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 11*f**3 - 5*f**2 + 12652*f?\nAnswer: -24*f**2 - 66*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11749 less than 50?\nAnswer: 51.11749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 7 = 0. Solve -s*l + 8 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e27 + d002?\nAnswer: 10e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11444189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123 is divided by 262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.48 + -3.7. Let p = 0.18 - k. Which is the second biggest value? (a) -0.2 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9\/(-10))\/(204\/(-782)) and 127\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1071, -4100, -9155, -16230, -25319, -36416?\n\"Answer: n**3 - 1019*n**2 + 21*n - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11155 or 11160?\nAnswer: 11160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Calculate the highest common divisor of 20 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/10)*k\/(k*k*k\/(k\/(k*k*k**(1\/3)*k)))*k*k*k**(-3)*k**1\/k*k)**2)**18 assuming k is positive.\nAnswer: k**(-762\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77300 - -4?\nAnswer: -772a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 0*j**3 + 2*j**2 - 2*j**4 - 6*j**3 to the form t*j**4 + i*j**2 + g + y*j**3 + a*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -53c87b?\nAnswer: -53c877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4023 - -4033. What is the remainder when 558 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4723 - 4810. Let u = 73 - -16. Let i = u + b. Solve 6*t = i*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2820, -2821, -2822, -2823, -2824?\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from bzb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, -1, 80, 0, -101 in descending order.\nAnswer: 80, 6, 5, 3, 0, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 15141834?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0 + 0 + (g**2 - g**2 - g**2)*(-1 + 0 - 2).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in 18.7, 4, 2, 4\/3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 5*a - 7. Let g be p(2). Suppose 0 = g*s - 5*s. Which is bigger: s or -1\/46?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9192 and 492?\nAnswer: 376872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 - 336 = -147*i + 4128. What is the remainder when 271 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -16. Suppose h*j = 3*j. Solve j*l**2 + 0*l + 0 + 0*l**3 + 2\/11*l**4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*n + 180*n - 407*n - 59020 = 0 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/24)\/(167\/1503)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j - 2*p, -2*j - 10 = 4*p - 4. Suppose 2*h = j*h - 2. Suppose 4 + 2 = -h*q. Put -2, -1, q in increasing order.\nAnswer: q, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 221832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130291868 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1426 + 1430. Let v = -43 - -63. Solve -l*d + 0 = -v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 666.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -16544224?\nAnswer: -16544234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (13 + -2) - -2 - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let u = 1245 - 1243.999975. Let m = d - u. Round m to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**3\/3 + 2*m**2 + 8*m - 72. Let h(i) = -i**2 - i - 1. Determine -4*h(k) - x(k).\nAnswer: 2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/(-180)*16\/30\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 = 4*b - 40*c, -2*c - c = -1430*b + 1431*b - 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092224 (base 10) in base 5?\nAnswer: 1013422344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -408 + -116. Let d = 524.0219 + s. Round d to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -28. What is the greatest common factor of m and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(405).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.538299 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3891*u*w**2 + 2*u*w + 257*u + 6 wrt w?\nAnswer: 7782*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j. Let y(o) = 9*o. Let a be (-8)\/6*3\/(-1). Suppose 0 = -0*c + c - a*f + 4, -4*f = 5*c - 52. Determine c*g(x) + 5*y(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 68\/3 of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 280*b*p**3*u**2 + b*p**3*u - 3*b*p*u + 11*b*p - 2*b*u**2 + 2*p**3*u wrt u.\nAnswer: 560*b*p**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10523033411 - -1?\nAnswer: -10523033410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 0.1, -37 in descending order.\nAnswer: 10, 0.1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(9\/(-6))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 15*y = -47*y + 220. Sort 4, -923, y in decreasing order.\nAnswer: y, 4, -923","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-816)\/(-15) - (-4)\/(-10). Let k be ((-1)\/((-2)\/(-27)))\/((-9)\/12). Calculate the greatest common divisor of h and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = 28. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968108 to the power of 1\/2, to the nearest integer?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -808*i - 11. What are the prime factors of n(-1)?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*y - 11 = 0, 0 = -4*j + j - y - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let z be (0\/2)\/(0 + 2). Solve -j = 4*j - 3*l - 23, 4*j + x*l - 11 = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 699, 3211, 7397, 13257?\n\"Answer: 837*l**2 + l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*j - 33. Let q(s) = 57*s**3 - 4*s**2 - 5*s - 3. Is q(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200 (base 3) in base 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*p + 28*v, -2*p + 22 = 3*p - 646*v + 644*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9585578 hours to microseconds.\nAnswer: 3450808080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2785.7 - 2799.043. Round b to one decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33400 (base 12) to base 9.\nAnswer: -113210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 19 = -3*u + 39, 4*t - 2 = -u + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 20620, 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000772163 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3648150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/2 - -25\/6. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m\/(m**10\/m)))**(-48)\/(((m**1\/m*m)\/m*m)**(7\/3)*m*(m*m**(-1\/6)\/m)\/m*m*m*m**(-5)) assuming m is positive.\nAnswer: m**(-4891\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7 + 5 - w**2 - 11 + 5*w + 4*w. Suppose 3*d + 3*c = 39, -2*c + 42 = 935*d - 931*d. What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i**(6\/11)\/i))\/i)\/(i\/(i\/(((i**(-41)\/i)\/i)\/i*i)*i*i*i))*(i*i\/(i\/i**(-17)))**(-23) assuming i is positive.\nAnswer: i**(4581\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.95 - 2.05. Sort c, 0, 2\/17.\nAnswer: c, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6716 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 21*s + 116*s.\nAnswer: 127*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -1\/4 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -800 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3592 (c) -5 (d) -3 (e) -0.2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -194 + -93?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15257, -15207, -15157?\nAnswer: -15107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 13, h: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-153)*(-1 + 3\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.625874 days to hours.\nAnswer: 231.020976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*f + 82*f - 155*f.\nAnswer: -230*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let q(p) = p**2 + p - 1. What is the remainder when 43 is divided by q(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (85\/(-51))\/((-15)\/162). Let j(z) = -z**2 + 3*z + 2. Let x be j(3). Suppose -x*u + a = -u. 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: In base 7, what is -416632 + -2046?\nAnswer: -422011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w + 3*w)*(-221*w**2 - 242*w**2 - 9*w + 460*w**2 + 9).\nAnswer: -6*w**3 - 18*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -5, 0 = 5*p + s - 5. Suppose 0 = 5*l + 25, 4*j - 3*j - 4*l - 5457 = p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 878 - 779. Let x(w) = 12*w**3 - 3*w**2 - 2*w - 1. Let y be x(2). Let q = y - 59. Calculate the remainder when d is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 64, 96, 128, 160, 192?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 1\/8 (c) 12524.9 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 5*u + 95, -5*i + 446 = 4*u. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + 21*w + 24. Let p(h) = 2*h**2 + 4*h + 5. Let v(a) = 5*c(a) - 24*p(a). Factor v(b).\nAnswer: -3*b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, -2, -36, -1\/3 in decreasing order.\nAnswer: -1\/3, -7\/6, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 266*m - 1529. Give d(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909109536.\nAnswer: 2, 89, 1021457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254540*j**3 - j**2*v - 4*j*v + v + 5700 wrt j?\nAnswer: 1527240*j - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -0. Let m be ((-2)\/5)\/(1\/(-10)). What is the highest common divisor of s and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6600\/(-1540)*112\/40.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 8) in base 4?\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -20, -33, -3749, 2\/5, 5, 2\/13?\nAnswer: -3749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 163*k**2 + 2*k + 1. Let r be v(2). Is (-6)\/21 + r\/21 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 8 - 4 = 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoooyyyyyoyoy. Give prob of picking 1 y and 1 o.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4539, -5, 5, -3, -17 in decreasing order.\nAnswer: 4539, 5, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137138070 is divided by 9085.\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 352486, 352508, 352544, 352594, 352658, 352736, 352828?\n\"Answer: 7*i**2 + i + 352478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -3\/7 (c) 25 (d) -0.042 (e) -1\/5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18341*k**3 - 5122*k wrt k.\nAnswer: -110046*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -13 (c) 1\/5 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvml when four letters picked without replacement from mjvjjmmmlvj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 o, and 1 s when four letters picked without replacement from {s: 1, o: 2, g: 1, q: 1, t: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2251113 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.1 (c) 831 (d) 5\/3 (e) -12 (f) -0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119374, -119405, -119444, -119497, -119570, -119669, -119800, -119969?\n\"Answer: -z**3 + 2*z**2 - 30*z - 119345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**3 - 21*c**2 + 3*c + 4. Let n(w) = -5*w**3 - 11*w**2 + 2*w + 2. Let h(z) = 6*i(z) - 11*n(z). Let k(b) = b**2 + b - 1. Determine h(j) + 4*k(j).\nAnswer: j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147681\/5 + -29536. Factor -6\/5 + j - m*j**2.\nAnswer: -(j - 3)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.29723.\nAnswer: 0.059446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 34*a**2 + 18*a + 644. What is w(-34)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)\/(j**(-2\/7)*j))**(9\/8) assuming j is positive.\nAnswer: j**(-81\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwv when three letters picked without replacement from ccvcvvcvwv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1940\/8730 + (-278)\/36\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 428*f**2\/5 - 2*f\/5 - 428\/5.\nAnswer: 2*(f - 1)*(f + 1)*(f + 214)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sviq when four letters picked without replacement from {s: 4, q: 3, i: 10, v: 1}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -630 + 950. Is 40 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 + 14.03. Let f = 1.3 + 3.2. Let x = h - f. What is x rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/246 and -95\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 + 427559*r**2 - 427558*r = 0.\nAnswer: 0, 1, 427558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 + 461. Factor 3\/4*r - 3\/4*r**g + 0 - 9\/4*r**2 + 9\/4*r**3.\nAnswer: -3*r*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -23 in descending order.\nAnswer: -0.1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(48))**2)*1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1732 + 1737. Let k = 0.3 - 2.3. Let i = k - -1.8. Sort u, 1, 32, i in ascending order.\nAnswer: i, 1, u, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19830288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3961*x - 3965*x + 88 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.03, 0.9, -3, 0, 1\/4, 2\/3 in increasing order.\nAnswer: -4, -3, 0, 0.03, 1\/4, 2\/3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(3) + sqrt(15))*-2*-2)\/(sqrt(45)\/(sqrt(18)\/sqrt(2)) - sqrt(480)\/sqrt(6)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2766 - -3215.2766. Let l = -3156.72 + a. Let q = l + -63. What is q rounded to 1 decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20686.5 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/120 + 7*o**5\/60 + o**4\/3 + 3*o**3 - 8*o**2. Let w be j(8). What is the greatest common divisor of 162 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + 1 + -1. Let q = 125 - 89. Suppose 0 = -5*m - 26 + q. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -654*p + 2055. Calculate q(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 99*t + 732. Give k(8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250555419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 19*o - 19. Calculate s(-7).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3356 + 88\nAnswer: -3268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 23*z - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74.31 - -74.71. What is the biggest value in -0.9, g, -0.5, 1, -1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -1842.\nAnswer: -5\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -17, -32, -51, -74, -101?\n\"Answer: -2*q**2 - 5*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/5 - 16226*t**2\/5 - 709688*t\/5 + 3098496\/5 = 0?\nAnswer: -8069, -48, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 2. Let w be d(-1). Let o be 1\/1*(0 + w + -3). Sort -2, o, -4, 2 in ascending order.\nAnswer: o, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 13) to base 4.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1838843, -1838841, -1838839?\n\"Answer: 2*n - 1838845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 28, -119, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3072, -6736, -10404, -14082, -17776, -21492, -25236?\nAnswer: -29014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4088411.159 to the nearest 1000.\nAnswer: 4088000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1591291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -598264427\/1224 - -488778. Calculate the common denominator of -43\/56 and f.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -62.006?\nAnswer: 62.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = 2*d, 3 = d - 2*g - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400563371 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4379 - -9?\nAnswer: -4370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216.7057 rounded to the nearest one hundred?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 32*z**5 + 16016*z**4 + 884418*z**3 + 3690920*z**2 + 1680632*z + 203232 = 0?\nAnswer: -438, -58, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9280 = -2*g - q + 9257, 5*g - 85 = 5*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11463 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 20*c - 24*c - 20, -u - 4*c + 28 = 0. What is the greatest common divisor of 1744 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 1. Let l(h) = 5*h**3 + 6*h**3 - 3*h + 4*h - 10*h**2 + 10 - 12. Let x(z) = l(z) + 5*m(z). What is the second derivative of x(n) wrt n?\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 171. Factor a**2 + d + 14 - 35 + 24 - 8*a.\nAnswer: (a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.3 - 7.3. Let q = -39.26 + v. Is q less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -367 - -369. Suppose -1184 = -5*t + 2*g, 4*t - h*g - 561 = 385. What are the prime factors of t?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:16 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.506765ng to tonnes.\nAnswer: 0.000000000000009506765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnueuunnuneuu. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60228222 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwllllwqlqonqlwlll. What is prob of picking 1 l and 1 o?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(8\/3)*((t*t\/(t*t**0*t*t))\/t*t)**(-14))\/(t*t\/t**(-5\/4)*t*t**6*t*(t\/t**5*t)\/t**8) assuming t is positive.\nAnswer: t**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 + 52942*z\/7 + 7563.\nAnswer: (z + 1)*(z + 52941)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16856 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6128, 2\/3 in descending order.\nAnswer: 8, 2\/3, -6128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.8793319498 - -3.5\nAnswer: 5.3793319498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 3\/5 (c) -0.5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8473381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 89 * -8.2\nAnswer: -729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l**2 - 2)*(6*l**2 + 0*l + 3*l - 5*l).\nAnswer: -12*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123521341?\nAnswer: 131, 641, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcwfzfcwwfmwczzww. What is prob of picking 1 m, 1 w, 1 f, and 1 z?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**4 + 7 - 6 - 12)*(-2 - 2 + 6)*(0 - 2 - 1 + (-4 - 1 + 3)*(3 - 1 + 0) - 4 + 6 + 0) to q*n**3 + i*n**4 + z + f*n + a*n**2 and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let u be (5 + -2)*12\/(-9). Let o = u + 7. Let a(i) = i - 2*i + o*i. Calculate a(g(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(1792)*-2 - (1 + sqrt(1792))*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18748, 15687, 12628, 9571, 6516, 3463?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 994*r**2 - 16*r - 76563 wrt r.\nAnswer: 1988*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*q + 439 = -1176, -g + 536 = -4*q. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(3\/(-27)). Let o = j - -8. Calculate the remainder when o is divided by (-6)\/4*8\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/353, -1, -1282 in decreasing order.\nAnswer: 3\/353, -1, -5, -1282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*b - 3, 5*c - 3*b + 2*b = 9. What is the second smallest value in -2, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/196093238 and 25\/98046619.\nAnswer: 196093238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-15) + (-974)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/3*i**3 - 28\/3*i**2 + 0 - 4\/3*i.\nAnswer: -i*(7*i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-6)\/9)\/(2\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/6)\/(3\/(-9)). Let t be ((-24)\/c)\/(54\/(-28)). Suppose t*d**3 + 0 - 2\/9*d**2 + 2\/9*d**4 + 0*d - 4\/9*d**5 = 0. What is d?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Suppose -h + 1 = -w. Let z(j) = -5*j**2 - 6*j + 11. Let l(v) = -v**2 - v + 2. Let q(s) = 11*l(s) - 2*z(s). Give q(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*x + 88*x. Solve -u + 4*g + 13 + 5 = 0, -u - 2*g - 12 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -130a964?\nAnswer: 130a963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 286*p**2 + 3*p. Let z(t) = -1430*t**2 - 14*t. Calculate 14*s(g) + 3*z(g).\nAnswer: -286*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 + 2*j**2)*(9*j - 8*j - 2*j**2 + 3*j).\nAnswer: 4*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3207222 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12754 is divided by 118.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2)*1 + -242 + 253\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 11}. Give prob of picking 3 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 - 68 = 0. Let o be ((-8)\/3)\/((-24)\/w). Suppose 2*n - 349 = 2*i + 171, o*i - 538 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 7*q**2 + 2*q + 10. What is n(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/80 in -0.5, -4, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) 0.4 (c) 6\/11 (d) 2\/2613 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -540, -1071, -1798, -2715, -3816, -5095, -6546?\nAnswer: -8163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {j: 4, h: 4, d: 9, a: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3781 and -0.24?\nAnswer: 907.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1. Let j = t + -4. Put 2\/7, 1, j in ascending order.\nAnswer: 2\/7, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 277*r**2 + 518*r**2 + 42 - 80 + 275 + 679*r**2 wrt r?\nAnswer: 2948*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2774*s**2 - 2767*s**2 - 102 + 106. Let q(z) = 3*z**2. Calculate q(j(y)).\nAnswer: 147*y**4 + 168*y**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2664 + -2662. Which is the closest to -0.9? (a) 0.1 (b) 4 (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -21*o**5 - 13677*o**4 + 121275*o**3 + 327057*o**2 + 235686*o + 43560 = 0?\nAnswer: -660, -1, -2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p + 9. Let v(n) = n + 1. Suppose -s - 2*o = -3*o - 4, -5*s + 17 = -4*o. Calculate s*t(b) - 2*v(b).\nAnswer: 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.5309 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaalvvivtataaasa. What is prob of sequence vstl?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 245, 0.1, -0.4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 5. Determine q(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4043.124 + -4043.4. Sort 0.3, s, 2\/31 in ascending order.\nAnswer: s, 2\/31, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3898 - -3910. Solve 21*a = -33 + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 1*(2 + -1). Let u(p) = -4*p - h - 3*p + 8*p - 1. Does 5 divide u(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = 2, 5*w - 5*s = 40. Let x be 555\/20 - w\/12. What is the highest common factor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.7. Let z = o + 0.7. Let g = -3 + 5. What is the second smallest value in -5, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + 12. Let q = v + -213. Let z(t) = -t**3 - 20*t**2 + 6*t + 2. Let n be z(-20). Do n and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-74)\/1221 + (-201238)\/(-66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let p(f) = f**2 - 45*f - 12. Let g(n) = 3*n**2 - 93*n - 30. Let q(a) = -2*g(a) + 5*p(a). Calculate q(d(r)).\nAnswer: -r**4 + 39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 119*m**2 + 256*m + 66. What is the tens digit of o(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 19*d**3\/4 + 10*d**2 - 19*d\/4 - 10 = 0?\nAnswer: -40\/19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 29 + 14)*((3*m + 0*m - m)*(-4 + 2 - 1) - 2*m - m + 4*m)*(m + 6*m - 3*m).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 4, -14, -5 in ascending order.\nAnswer: -195, -14, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 189 = -2*x, i - 33 = -0*i + 2*x. Suppose 2*h = 2*d - 3*d + 7, -2*h + 5*d = -i. Let z = h + -12. Let p(l) = l**2 + 6*l - 8. Calculate p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 3}. What is prob of sequence mf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7))\/r*r*r)**13*r\/(r*r*r**(1\/13))*r*(r**(5\/4)\/r)\/r assuming r is positive.\nAnswer: r**(-3423\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:55 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = -27. Solve -3*f + o = -6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(1\/5)\/w))**(-35)*w**3*w*w**(-9\/7)*w assuming w is positive.\nAnswer: w**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173, -814, -1875, -3350, -5233, -7518?\n\"Answer: c**3 - 216*c**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = -43*m - 54*m - 560 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/9 + 302*r**3\/3 + 4486*r**2\/9 + 890*r\/3 - 896 = 0.\nAnswer: -448, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/33*(4 - 4). Let k(i) be the second derivative of l + 41\/6*i**3 - 37\/2*i**2 - 6*i. Find the first derivative of k(n) wrt n.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 14*p**2 - 165*p - 1477. Calculate t(-10).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 0.1 (c) 0.034 (d) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 133, 305, 547, 859, 1241?\n\"Answer: 35*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Suppose 0 = n*c - 4*c + 20. Suppose 5*h - 18 = -4*o, -5*h = -o + 2 - c. Let g(s) = 3*s + 1. Give g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + s - s - 11 + 0 to the form w + y*s**2 + f*s**3 + a*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254 and 129413?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5475 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -211, -448, -791, -1246?\n\"Answer: -a**3 - 44*a**2 + 2*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Let o be -1*(-7)\/((-14)\/(-24)). Suppose 8 = 4*j - o. What is the remainder when j is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 12, 101, 276, 567, 1004?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510 (base 7) to base 3.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 5, f: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - 8*s**2 - 29*s**2)*(-7 - 8 - 5 + (4 - 4 - 1)*(-2 - 1 + 5)).\nAnswer: 682*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 - -1125032048?\nAnswer: 1125032043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 - 21 = 0, 2*h - 4*x = -4. Suppose -80 = -h*c - 4*w, -c - 29 = -2*c - 4*w. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2*x - 3 + 3. Let i(a) = 3*a + 2*a - 2*a. Give i(p(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 2. Let m(n) = 2*n**2 + 4*n + 4. Suppose p + 4*d + 8 = -3*p, 0 = -4*p - d - 5. Let q be m(p). Determine g(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 5:51 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.2 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2970*m**3 + 363*m**2 - 3573287*m.\nAnswer: -17820*m + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -70*f - 37. Let m(g) = 10 + 35*g + 9 + 0. Let l(v) = 9*m(v) + 4*w(v). Differentiate l(d) wrt d.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/4)\/((-21)\/4900*1). What is the greatest common factor of v and 1225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**4\/24 + 8*y**2 - 85. Let f(w) = 90*w. Calculate f(u(l)).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - 3. Let s = 175 + t. What is the remainder when 34 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -76, -0.06, -22\/3, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4646 times -4?\nAnswer: -18584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u, 1040*c + 3*u - 728 = 2096*c - 1028*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-241.3.\nAnswer: 120.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*d + 28*d + 46*d.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let j(l) = 7*l. Let h(y) = -y. Let d(t) = 2*h(t) - j(t). Calculate d(r(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -18*f - 16*f + 36*f - b - 50, 0 = -b - 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751, -754, -757?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56866825 by 2274673.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 3*p**3 + p**3 + (-7*p**2 - 12*p**2 - 2*p**2)*(-p - 2 + 0*p + 3).\nAnswer: 19*p**3 - 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*i - a**3*w**2 + 24937*a**3*w + 2*a**3 - 3*a**2*i*w**2 - 5*a**2*i*w - 5*a**2*w**2 - 13*a**2 + 4*a*i wrt a?\nAnswer: -12*i - 6*w**2 + 149622*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 522, 523, 524, 525, 526?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*n - 10 = -2, -5*y = -3*n - 9. Suppose 3*u = -2*u - 10. Let d be (u\/4)\/(10\/(-180)). Solve -y = -3*v - d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 less than 9682\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 3. Let i(k) = -3. Let s(l) = 3*b(l) + 3*i(l). Let z(f) = -6*f**2 + 5 + 3 - 8. Determine z(s(p)).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 + 2*n + 2. Let x be g(-2). Suppose -3*h - 51 = -4*u, -h = 4*u - 2*u - 13. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -0.1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 709800?\nAnswer: 709800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28))\/(13\/((-182)\/(-12))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, 33, 4, 1, 2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j + 418 = -5*a, -2*j + 208 = -2*a. Let h = 105 - j. Let r be (-5 + h)\/4 - 5\/(-10). Solve 0*t - 3*t - 15 = r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 68.1. Let f be 2\/6 + 4\/6. Which is the nearest to 0.1? (a) -5 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910 a factor of 6470762638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -12, -15?\n\"Answer: -3*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + sqrt(112) + -4 + -3 + 4.\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 440498.\nAnswer: 15417430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 814, 1824, 3236, 5050?\nAnswer: 7266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = n, 3*b + 2*n + 1 = -0*n. Let z(j) = 3*j**2 + 5*j - 4. Let o be z(b). Solve -o*c + 3 = f - 1, -20 = 4*c - 5*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -351*w**3 + 2*w**2 - 6*w - 3. Let b be v(-3). What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 7. Let p = a - 3. Sort 3, 0, p in descending order.\nAnswer: p, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62, 125, 176, 209, 218, 197, 140?\n\"Answer: -b**3 + 70*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-38)*r**5\/(r**(-5)\/r))\/(((r\/(r**(-4)\/r))\/r)\/(r*r\/(r*r*r**3*r*r)))**(-2\/35) assuming r is positive.\nAnswer: r**(-185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 60*i = 20. What is the second derivative of 45*a - 2*a**4 + 67608 + a + i*a**2 - 67608 wrt a?\nAnswer: -24*a**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-4)\/((-80)\/3)). Suppose 4*m = -0 + b. Let k = 451 - 447. Solve -k*d + 2 = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 - 129*p - 50. Give f(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - 3*z**2)*(-z**3 - z**3 + 0*z**3) + 3*z**5 - z**5 + 6*z**5 - z**5 - 2*z**5 + z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1972 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13. Let t(r) = -16*r + 32*r - 40 - 17*r. Let w(c) = 7*h(c) - 2*t(c). What is w(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149, 155, 159, 161, 161, 159, 155?\n\"Answer: -o**2 + 9*o + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) -0.2 (c) 125 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110020\/4749 + 1\/3166. Let j = d - -23. Sort 4, -7, 0.3, j in ascending order.\nAnswer: -7, j, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -653670 * -0.015.\nAnswer: 9805.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/92563 and -87\/4175756.\nAnswer: 630539156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-16)\/72). Let z(h) = -5*h**3 - 6*h**2 + 3*h + 3. Let p(t) = -t**3 - t**2 + t + 1. Determine r*p(g) + z(g).\nAnswer: -2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104455872?\nAnswer: 2, 3, 60449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h - 4. Let z be d(0). Let r = z - -4. Solve 5*i + 0*i + 2 = 2*u, r = -5*i - 4*u + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -9, -4 in decreasing order.\nAnswer: 1, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5248 + -5038. Calculate the smallest common multiple of v and 588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 - 5*g + 2. Let y = -45 + 40. Let l(d) = 7*d**3 + 6*d - 1. Determine y*l(z) - 6*h(z).\nAnswer: z**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020440 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/3, -1535, -0.5, 3\/16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*b + 105, 3*n + 34 + 29 = -5*b. Let q(m) = -9*m**3 + 21*m**2. Let y(i) = -i**3 + 2*i**2. Calculate n*y(w) + 2*q(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43482874 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - 6*g - 1. Let x be v(-6). Suppose -2 = 5*w - 7. Put x, -3, w in descending order.\nAnswer: w, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 5 - -2) + 14 + (26 - 15) + -16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - ((3 - 8) + 15)) + 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -74 + 677. Let r = 69 - o. Calculate the lowest common multiple of 26 and 4*r*5\/2.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h + 71. Let m(c) = -3*c - 18. What is -9*m(v) - 2*w(v)?\nAnswer: -3*v + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c + 0*c - c)*(2 - 3 + 3) + 2 - c - 2 - 2*c - 1 + 1)*((c - 4 + 4)*(0 - 3 + 1) + 0*c - 2*c + 3*c - 3*c + 2*c - c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6460022657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z + 359. Calculate l(7).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26*w - 990. What is u(-38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 43*v + 3284. Give g(-74).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*t + 20, m + t = -3*m + 16. Suppose -m*u + 102 = -62. Suppose -3*p + u = -28. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -37, -60, -89, -124, -165?\n\"Answer: -3*r**2 - 8*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 - 28611*j\/5 - 18043746\/5.\nAnswer: -3*(j + 679)*(j + 8858)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-35))\/((-2)\/14). Factor 2\/9*h - 2\/9*h**z + 2\/9*h**2 - 2\/9.\nAnswer: -2*(h - 1)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527796251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 6928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 - -24?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, a: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 636 divide 7675248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + a + 31 = 0, 3891*k - 95 = 3894*k + 5*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 110*w - 112.\nAnswer: 2*(w - 56)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337 take away 0.4?\nAnswer: -2337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3109 - 96 = 281*u + 130*u - 16304 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 + -162. Suppose -189 = 2*t - 2*d + 51, 3*t + 355 = 4*d. Let f = c + t. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 6*f - 1976. Suppose -2*q - 4*g + 9 = 39, 5*q - 2*g + 135 = 0. Let i = q + f. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let a(l) = 8 + 2*l - 3 + 1 - 5. What is the remainder when a(h) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17779487647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30915616*m**3 + 64171596*m**2.\nAnswer: -185493696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 58, 152, 294, 490, 746, 1068, 1462?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365298 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/44453?\nAnswer: 6\/44453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145 - -180) + -18 + -2 - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496975658 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r - 9. Let m be w(6). Suppose -5*k + m = -0*k. Let u = 56694 - 56687. What is the remainder when k is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -37834?\nAnswer: -1\/18917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 97 + 20. Suppose 0 = i + 3*j - 59, -455*i + 460*i = -3*j + 223. Do i and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (67 - (-18120)\/(-288))*9\/21\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.976388 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**25*z\/z**(-1\/30))**(22\/9))**(-48) assuming z is positive.\nAnswer: z**(-137456\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(1\/28))**(-2\/29)\/((w\/(w\/(w\/w**0)))**(-36)*w**(-1)*w*w**(2\/9)\/w) assuming w is positive.\nAnswer: w**(331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188.31 + 188. Let y = j - -0.310000259. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 50*c - 1. Let n(y) = -3*y**2 + 3. Give n(u(t)).\nAnswer: -7500*t**2 + 300*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291621*o**3*w**2 + o**3 - o**2*w + 15*o**2 + w + 5466 wrt w.\nAnswer: 583242*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -704 - -974. Let c = g - 119. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q + 1. Let v(i) = 2*i**3 + 10*i**2 - 20*i - 6. Let g be v(-6). Calculate the remainder when 3 + 3\/3 + g is divided by a(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 72. Suppose -b*g = -4*d + 96, d + g = 5*g + 21. Suppose 0 = -d*m + 26*m - 156. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18531, -74134, -166811, -296562, -463387, -667286, -908259?\n\"Answer: -18537*z**2 + 8*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33813 - 31157 = 16*a. Calculate the remainder when 667 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 30*b + 116*b - 29*b + 1836 = 0 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80.99 - -80.79. Which is the smallest value? (a) -1\/6 (b) f (c) 0.176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894354?\nAnswer: 2, 3, 149059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084460 is divided by 22591.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-36)\/8 + 1. Which is the smallest value? (a) 5 (b) d (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d**2 + 1)*(-5*d - d + 2*d)*(-3 + 1 + 0)*(-1 + 0 + 0).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + 5 - (6 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0 + 8. Solve 1 = a - 2, -a = -j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4316 - 274136743?\nAnswer: -274136740.5684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 663, 4\/7, -4.859?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 22*n + 24. Let y(t) = 114*t + 126. Let u(q) = 21*m(q) - 4*y(q). Let v(g) = g. Let p(r) = 2*r + 0 + 2 - 2. Let i(k) = p(k) + 5*v(k). Give u(i(j)).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23 and 98.6324.\nAnswer: 121.6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let n(k) = -k + 5. Let f be n(3). Let w be (-21)\/9 - f\/3. Which is the biggest value? (a) p (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71419.48mg in kilograms?\nAnswer: 0.07141948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/180)\/(2*(-1)\/10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21533298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - 5*(sqrt(425) + -2 - sqrt(425)))**2.\nAnswer: 100*sqrt(17) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*j + 5985 - 5880 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -4.97. Suppose 8 = -p + w, 13 + 7 = 5*w. What is the third smallest value in 1\/7, i, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -23. Let h = n - 5. What is the nearest to 2\/3 in -0.5, -3, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 77. Let w be b(12). Let r(l) = -l**3 - 2*l**2 + 15*l. Let g be r(w). Suppose -5*x + 12*x - 539 = g. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 1. Suppose -2*r + 10 = -i*f, 2*f - f = -3*r + 7. Solve r*a = 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959738.\nAnswer: 2, 13, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1 - 16 - k + 2. Let q be n(-15). Let u = -24.288 + 0.288. Are u and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 + 7 = 4*v, 2*r - 8 = 0. Let i(q) = q**3 - 4*q**2 + 3*q - 3. Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*c + 109*c - 621282 = -5*r, -2*c = -4. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 42. Suppose 3*a = 5*x - 8, -3*x + 32 = -a + 6*a. What is the smallest common multiple of a and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - 4.91. Which is the second smallest value? (a) d (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-27) - 6\/(-27). Let h(c) be the third derivative of -c**6\/120 - c**5\/60 - c**4\/24 + c**3\/3 + c**2. Give h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*f + 59638 - 59713, -3*f + 36 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18309 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 0*x**5 + 0*x**4 + 1\/6*x**3 + 0*x**6 + x + 0*x**2 + 1\/14*x**7. What is the second derivative of i(v) wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 5. Let y be w(4). Suppose y*j - 4*b = -2*j + 3, 24 = 3*j + 5*b. Solve 2*l + j = 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -617323313*o**4 - 951733394 wrt o.\nAnswer: -2469293252*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 + 18*h + 65. What are the prime factors of b(-8)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*v - 29, 17 = -l + 3*l - v. Let x be (1\/l)\/((-2)\/2). Which is the biggest value? (a) 4 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:46 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 80 - 182 + 86. Let g be v(-6). Suppose -2\/5*i + 4\/5*i**3 - 4\/5*i**g + 2\/5 - 2\/5*i**5 + 2\/5*i**4 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/105 + (680\/357)\/(-20). Which is the nearest to 0.01? (a) w (b) -2\/9 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2, -5, 175 in ascending order.\nAnswer: -5, -2\/15, 2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -6. Let x = z - 90. Does x = -0.013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9293 * 2\nAnswer: 18586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -71, -86, -91, -86, -71, -46?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - ab3ad8?\nAnswer: -ab3ad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*n**2 + 3\/7*n + 2\/7 = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.78220956 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-47)\/(987\/9))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 11*b - 76. Let y be r(4). Find g, given that 2\/11*g**3 + 2\/11*g - 4\/11*g**2 + y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125750 is divided by 12574.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {c: 2, d: 4, n: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2634431 and 0.22.\nAnswer: -579574.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 435952?\nAnswer: -435948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + g = 9, -4*q + g = -2*g + 34. Let h(b) = -b + 1. What is the units digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4)\/6) + 1 + 32\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4*x**2 + 2*x**2 + 2*x**2 + 4*x**2 - 3*x**2 + (-4 + 0 + 2)*(x**2 - 4*x**2 - x**2).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*k - 37, 0*k + 2*y - 95 = 5*k. Let m be (0 - k) + 1 + -1. Suppose q = -5*b + m, -2*b + 27 = 4*q - b. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -763*j**5\/20 + 2195*j**3\/6 - 327*j**2 + 4*j. Find the first derivative of v(z) wrt z.\nAnswer: -4578*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 14*k = -3*w + 6, -4*w = k - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 3. Determine s(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003333873699 rounded to seven decimal places?\nAnswer: -0.0003334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - (-2 + sqrt(1053) - sqrt(13)))) + 0.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140188 is divided by 603?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11816 is divided by 540.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35618983?\nAnswer: 35618983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(666 - 666 - 40*o) as q + y*o and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/18*20\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -2*c + 0 = z. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1368 - 2735\/2. Let i(j) be the third derivative of 1\/8*j**4 + 4*j**2 + 0 - z*j**3 + 0*j. Let b(t) = 5*t - 5. Give 5*b(a) - 8*i(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6, -3*y + 3*w + 3 + 9 = 0. Let c = y - 8. Calculate the lowest common multiple of c\/1*(0 - 3) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjllgwfnngnngggfg. Give prob of picking 1 l and 1 j.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4, -2\/987, -199, 1.3?\nAnswer: -2\/987","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4683, -18672, -41995, -74658, -116667?\n\"Answer: -p**3 - 4661*p**2 + p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 derivative of 18*s**4 - 8*s**4 + 2*s**5 - 13*s**5 + 117*s**2 - 6*s**4 + 115*s**2 - 8*s**3 wrt s?\nAnswer: -660*s**2 + 96*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - z = 8*p - 43, 33 = 3*p + 3*z. Solve p*f - 1 = 3*f + 4*g, 2*f - 5*g = 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -7. Let u(p) = p**2 + 26*p + 27. Let y be u(-25). Suppose y*z - 6 - 2 = 0. Put g, z, 5, 2 in increasing order.\nAnswer: 2, z, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922.53ml in litres?\nAnswer: 2.92253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 15) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = j, -5*j + 1 = q. Calculate the remainder when 6*((-75)\/q + -3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23696145.\nAnswer: 3, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 39. Suppose 5*c + 5 - u = 0. Solve -n - 2*n - l - 17 = c, 4*n + 24 = -2*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 83.3975 nanometers?\nAnswer: 0.0833975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 4 + -5 + 5 + (sqrt(13)*2*-5)**2 + -3 + 0 + sqrt(1053) + (sqrt(1053) + 3 + -1 + sqrt(1053))**2 + sqrt(1053).\nAnswer: 92*sqrt(13) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-244)\/6. Suppose -6*b = -b - 20. Suppose -30 - 2 = -3*t + 2*x, b*t - a = x. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*i - 4)*(31 - 3 + 4 + 0).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18453782929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*2\/(-5))\/(158\/(-790))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -526 equal to -524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*q - 222 = 0, -l = -4*l + 3*q + 153. Let v(w) = -15*w - 12. Let z be v(-2). Calculate the highest common divisor of l and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -220, -222, -224, -226, -228, -230?\n\"Answer: -2*z - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-14880)\/(-1240) - (-23860 + 0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 590, 1186, 1768, 2330, 2866, 3370, 3836?\n\"Answer: -t**3 - t**2 + 606*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2488097218 - 0.248781. What is v rounded to seven decimal places?\nAnswer: 0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2640 divided by 48?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*r = 37, -4*j - r - 59 = -7*j. Calculate the greatest common factor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or -40735038?\nAnswer: -40735038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/12 + 21*q**3\/2 - q**2\/2 - 3*q + 4. What is the derivative of i(h) wrt h?\nAnswer: 2*h + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 9 + 117. Suppose -3*s - 97 + 286 = 0. Calculate the greatest common divisor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.8, 25\/2, -6\/7, 2, -3, 0.8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - n = 46576, -2*l + 19564 = n + 935. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 351918086 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4519*m - 5254*m - 45188 = 6085*m + 234432 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3 - 9*c - 108.\nAnswer: -6*c**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2\/2 + 25. Let m(c) = 8*c. Calculate m(b(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1711\/2 + -4921\/6. Let y = 31 - c. Let p = y - -4. Sort -2, 0, p in increasing order.\nAnswer: -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 + -237. Are -485 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**2 - 45*g - 21. Let z be h(-4). Suppose 0 = -2*r - 6 + 10. Sort z, 5, 0, r in increasing order.\nAnswer: z, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*k**4 - k**3 + 7*k**2 + 93134*k.\nAnswer: 1752*k**2 - 6*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(42)\/sqrt(96)) - (-2 + sqrt(612) + -4))**2.\nAnswer: -24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2798.4834 to the nearest ten.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 6, u: 6}. Give prob of sequence nhun.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:25 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71627996 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106707, 106494, 106137, 105630, 104967, 104142, 103149, 101982?\n\"Answer: -m**3 - 66*m**2 - 8*m + 106782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 49457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/1104*18\/12.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -137 - (-42 + -75) - (2 - 90) - (-4 - 0)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(-2)\/w))\/w)\/((w*w*w**(-15))\/w))\/((w**(-2\/31)\/w)\/w)**(-31) assuming w is positive.\nAnswer: w**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdiduiuuduiucddddudi. What is prob of picking 1 u and 1 i?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:37 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94815 and 136860.\nAnswer: 865092060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4207.292 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -46, -88, -152, -244, -370?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + (-1830)\/105 - 440\/(-14). Solve -2*m - 3*i = -4, 4*m - h*i + 34*i - 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/5 + 111*l**2\/5 + 1224*l\/5 - 23120 = 0?\nAnswer: -68, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 33. Let r(k) = k**3 + 10*k**2 + k + 2. Let s be r(-10). What is the tens digit of p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:59 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2\/13 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13 - 4 + 2 - 8*m + 0 - 9. What is j(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/465 and -113\/174.\nAnswer: 26970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-5)\/(-15)*-21. Solve o*a = a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230 (base 6) to base 8.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067859752 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/84*8)\/((-1)\/(-303)). Let k = -165 + f. Are 37 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5977 or 30\/37?\nAnswer: 30\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 16*w**2 - 2*w**2 - 12*w + 14*w - 11 to c*w + n*w**2 + h and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 + 8*j**2 + 17*j + 5. What is h(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/122 and 9\/40?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6798*l**2*w + 735*l**2 - 2753*l*w - 2*l + 1368 wrt l?\nAnswer: 13596*w + 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12847.999993751 - -12848. Round w to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88422563 take away 7595?\nAnswer: -7595.88422563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 20875?\nAnswer: -2713.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/9, 0, -22?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*h + 270*h - 78819 = -548*h - 309*h for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 1 + 1 + (o + 3*o - o)*(-21 + 14 + 4))*(2*o + 3*o - 4*o) as w*o**2 + l*o + k and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**0\/l*l))\/l*l))**13*l**(-5)\/((l*l**3)\/l) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/6)\/((-1)\/3). Suppose -d*m + 2*m = 180. List the prime factors of (5\/3 - 2)*m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 4. Let w be q(-7). Suppose w*z + 30 = z. What is the units digit of (5\/z)\/(3\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let b(k) = -4*k - 3. Suppose 0 = -33*x + 36*x + 9. Let t(q) = q + 1. Let r(o) = x*t(o) - b(o). Calculate r(n(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 4. Let c be m(-5). Let l be 2\/c - 72\/(-33). Suppose 3*x + l*s - 15 = -0*s, -2*s + 22 = 4*x. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from smvvvrmmsv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 7 + 57)*(-2*k + 3*k - 3*k)*(10 - 2 + 2) to r*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-19 - -13) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Suppose -r*m + m = 0. Factor -u**3 + m*u - 1\/2*u**4 - 1\/2*u**2 + 0.\nAnswer: -u**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 2*d + 130. Let f = -239 - d. Solve 3*u - f = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.642463 kilometers in micrometers?\nAnswer: 6642463000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:59 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 12*w + 44. Suppose w*f + 11*a - 6*a = 1380, -f + 336 = -a. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 0 (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -4 + -3 + -1. Let t be i\/24 - 43\/(-180). Let l = -67\/45 + t. Calculate the common denominator of -77\/8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 31*f - 56. Is 28 a factor of x(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0*v**2 - 4*v**2 - 4*v**2 + 10 + v + 7*v**2. What are the prime factors of u(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 21. Is (-2)\/5 + 74\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let l(w) = -1. Let h(o) = -12*o**2 + 11. Let p(z) = -11*z**2 + 10. Let c(y) = 5*h(y) - 6*p(y). Let q(t) = -c(t) + 5*l(t). Give f(q(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 69, 98, 160 in ascending order.\nAnswer: -3, 69, 98, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2628.63*-0.03.\nAnswer: -78.8589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 72\/5 of a millisecond?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*y**5 - 4*y**2 + 2?\nAnswer: 11460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (12 - (10 + (-7 - -5))) - 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 1902 in decreasing order.\nAnswer: 1902, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:28 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -49*t**2 + 1371*t + 17. Determine n(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -664*l - 61953. What is h(-93)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 3*k - 15. Differentiate 4 - 4*u**4 - 11 + u**k - u**3 wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 3.3. Let n = 1.3 - w. Which is the second biggest value? (a) n (b) 5\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5605.845 milligrams?\nAnswer: 5605845000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 - -2)\/1. Suppose 0 = -y - 2 + 3. Let k = 1.3 + -4.3. Put r, k, y in increasing order.\nAnswer: k, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 0.39. Put -5, h, -2\/5 in decreasing order.\nAnswer: h, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3255.287m to millimeters.\nAnswer: 3255287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = -4*u, -4 = -4*d - 3*u + 5*u. Let m = 7 + -13. Let l be m\/(-8) - (-37)\/4. Solve -3*c = d*w, c = 4*w - 0*c - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010001011 (base 2) in base 12?\nAnswer: 3b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000329261392 rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -202*q**4 - 2968*q**3 + 43614*q**2 + 584820*q - 831600 = 0.\nAnswer: -15, 132\/101, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:51 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0107975 days to milliseconds.\nAnswer: 932904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 6*d**2 + d - 3. Let f be l(6). Let i be ((-2)\/f)\/((-2)\/9). What is the third derivative of 2*q**3 - 4*q**i - q**2 + 0*q**3 wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 47952639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -12*r + 11*r. Suppose -2*v + r = 5. Let l(k) = -5*k + 1. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 8*j**2 - 7*j**2 - 230297*j**3 + 230287*j**3 + 32*j**2 - 10*j**2.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190*12\/225*(-15)\/25 - -6?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 4*k**2 + 4*k**2)*(3*k + 2*k - 4*k) - 3*k**4 + 6*k**4 + 0*k**4 + (-9 - 4*k**3 + 9)*(-k + 0*k + 2*k) + 2*k**2 + 2*k**4 - 2*k**2.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 0.15. Sort -1\/4, -1, y in increasing order.\nAnswer: -1, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17883 divided by 8\nAnswer: -17883\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -399.9 + 345. Let i = 55 + v. Let c be ((-28)\/(-6))\/(4\/(-6)). What is the closest to c in -0.4, i, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*z + 90 = 0, i - 4*i - 3*z + 96 = 0. Let d be i\/14 + (-2)\/4. Suppose -2*c - 3 = -5*c. Solve -k - d = c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 8 - 66. Let d = 304 + -251. Let x = w - d. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 341 - 46. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*k - 5*w, -5*k - w = 3*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (0 + 19 - 5) + 29 + 27.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 6*o**2 + 26*o - 11. Let y be n(-9). Let q = -0.69 - 0.11. Let p = q - -0.5. Put p, 0.1, y in increasing order.\nAnswer: y, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + t - 10, -182*o = -183*o + 2*t + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4784486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2*d + 57. List the prime factors of p(0).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 735454490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/3)*v)\/(v*v**8))\/(((v\/v**(-1))\/v)\/(v*v**(-6\/5))) assuming v is positive.\nAnswer: v**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/9))\/u*u**14*(u**(-1\/8)\/u)**(-49))**20 assuming u is positive.\nAnswer: u**(24965\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75692940 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3699 and -14.695.\nAnswer: 3684.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4773 * -3\nAnswer: -1.4319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = v. Let y(f) = f**2 + 4*f + 3. Let j be y(-3). Let l(z) = v*z + 0*z**2 - 2*z**2 + j*z. Let b(i) = -8*i. Determine l(b(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -292, -457, -960, -1975, -3676?\n\"Answer: -29*b**3 + 5*b**2 + 23*b - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -497.14 less than -0.1806?\nAnswer: 496.9594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39396997*g**3*q**2 + 6440*g**3*q - 2*g**3 + 23*g**2*q - 10*g*q wrt q.\nAnswer: 78793994*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201274 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17564326 is divided by 659.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*v = -138, 3*v - 2*v = 0. Let h = -88 - l. Suppose 5*u - 15*u - h = 0. Which is the second biggest value? (a) -1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520762766 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 4*t**2 + t - 3. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8669, 8671, 8673, 8675?\n\"Answer: 2*j + 8667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3 - d**2 - d. Let w be 52\/14 + 6\/21. Let f(g) = -7*g - 2. Give w*f(n) - 5*u(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 48*l**2 + 4*l + 3. Let o = 0 - 2. Let x be q(o). Let b = x + -134. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/9416 and -29\/7265728.\nAnswer: 79923008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-556)\/(-2919))\/((-24)\/(-14)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - 41*j + 396. What are the prime factors of d(-93)?\nAnswer: 2, 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 0, 10, 28, 54, 88?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 18*k - 1. Let b be q(18). Let n(p) = 16*p + 5. Let y(x) = -1. Let m(i) = b*n(i) - 2*y(i). Is 19 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 9521, 9, -1, -1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:06 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*l - 3*d + 39, 4*l - 60 = -4*d. Let b = l + -16. Suppose 0 = -2*c + 2*o + 60, 20 = -b*c - o + 71. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214504 (base 8) in base 3?\nAnswer: -10122202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 22840752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70990593 less than 70990581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*c + 11, 5*b - c = 3 + 2. Suppose 13 = 3*k + z, b*k - 5*z + 14 = -0*z. Suppose 126 = k*d - j - 3*j, 5*j = 0. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22482 divided by -6?\nAnswer: -3747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 223.98, 11, 0.06, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34, 18, -10, -56, -126?\n\"Answer: -f**3 - 9*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6405041?\nAnswer: 1289, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7 - 26 - 4*l**2 + 31*l + 7 + 7. Let v be z(7). Suppose -f + 2*s + 9 = s, 0 = 4*f - 2*s - 28. Solve q = f*q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (2*(2*sqrt(175) + sqrt(175)) - sqrt(175))))**2.\nAnswer: -3200*sqrt(7) + 70256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysubwwyu. Give prob of picking 1 s and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5 - 7708*t**4 - 3701448*t**3 + 11737000*t**2 + 269485900*t - 1173343500 = 0.\nAnswer: -965, -9, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h**2 - 1\/4*h**4 + 1\/3*h**3 - 136 + h. Let f(y) = -8*y**3 + 7*y**2 - y + 6. Calculate 2*f(j) - 14*k(j).\nAnswer: -2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from ppwwpqpqpspp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (8 + (-15 - 4))) + (14 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -433020231.22 from -0.92.\nAnswer: 433020230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6223703465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 43. Suppose 0 = -7*z + 2*z + 15. Let q be z\/(-1*(-9)\/24). Solve 2*b = -0*u - 2*u - s, 2*b + q = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/9 - 17*z**2\/9 - 7*z + 9 = 0. What is z?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 868\/3 - 289. Suppose -c**3 - 2\/3 + 1\/3*c**4 + c + b*c**2 = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/13, -2, -498.54, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003131112 (base 4) to base 6.\nAnswer: -5531114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9517303\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + -3 + 1 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167909 is divided by 167872?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - 6. Suppose 4*t - 69 = -2*k + 29, -5*t = 12*k - 189. What is the lowest common multiple of t and q(6)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 124, 84, -112, -518, -1188, -2176?\n\"Answer: -9*j**3 + 3*j**2 + 116*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 91*b**2 - 173*b**2 - 47*b**2.\nAnswer: -304*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 1. Suppose 5*w = -r - 15, w + 7 + 2 = r. What is the remainder when b is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -56.3 and 0.0502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 696*b**6 - 211*b**2 + 4*b. Let p(l) = -698*l**6 + 211*l**2 - 6*l. Let n(h) = 3*d(h) + 2*p(h). Find the third derivative of n(t) wrt t.\nAnswer: 83040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 32.\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/16 - (-2)\/(-10)*-2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -22. Let f = -6 + y. Suppose 120 = 7*s - f*s. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -10 (c) -4 (d) -2\/15 (e) -166\/23 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 823 - 761. Calculate the highest common divisor of t and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s + 82. What is o(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 120\/11 (c) -2\/3 (d) 3.7 (e) 0.7 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649592.\nAnswer: 2, 81199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:50 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/64 and 35\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 24 = -2*r - o, -45*r - 182*o + 349*o = 168*o + 221 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 84*n**3 - 2*n**2 - 2*n. Let q be v(-1). Let p be 2\/3 + 32\/q. Let f = -2.1 - -2. Which is the nearest to f? (a) p (b) 0.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28010532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42371 - -136110. Let l = v - 178356.597. Let u = l + -123.9. Round u to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.79 - -2.69. What is the nearest to 0 in x, 3, 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -56*k**3 + k**2 + 3*k + 2. Let i be f(-1). Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -12\/27899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f - 5. Let k(v) = -v - 118859. Give l(k(r)).\nAnswer: -4*r - 475441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 - 42*r + 3. Let t be o(-7). Let -79 - 150 + 81 + 4*q**t - 156*q**2 + 300*q = 0. What is q?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12675 + 14147. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhqzwwqwqzqww. Give prob of picking 3 w and 1 q.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (-4 + 3*sqrt(343) - sqrt(343))))**2.\nAnswer: -4032*sqrt(7) + 49968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttdn when four letters picked without replacement from {d: 4, t: 4, u: 3, n: 7}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, -4, -1721, 4, 18, -2 in decreasing order.\nAnswer: 18, 4, 2, -2, -4, -20, -1721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -144, -150, -160?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1260)\/50 + (-2)\/(-10). Suppose -f + 34 + 91 = 0. Is (-10)\/b*10 + f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**8\/8400 + j**6\/1800 + 5*j**3\/6 - 4*j**2. Let s(p) be the first derivative of d(p). Let s(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/75026 and 25\/12154212?\nAnswer: 12154212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022010020110020 - -12?\nAnswer: -22022010020110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o + 6. Let q(u) = 16*u - 7. Give 5*q(x) + 6*t(x).\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47600 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.4878 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456 + 648. Suppose -5*o - p = 3*p - x, -5*o + 190 = 5*p. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 138. Let q be (-5)\/((-140)\/3072) + f\/28. Which is greater: q or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 16. Let n = -12 + b. Calculate the common denominator of n and -58\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 63097950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 200564\/28756 + 6\/237\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3474, 6951, 10432, 13917, 17406, 20899, 24396?\nAnswer: 27897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, k: 4}. Give prob of sequence mkk.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksf when three letters picked without replacement from fsssfssfsssffssks.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 73. Let a(r) = r**3 + 3*r**2 - 2*r - 3. Let v be a(l). Let y(q) = q**2 + 12*q + 4. Let n be y(-9). Sort 1, v, n in ascending order.\nAnswer: n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58578032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + 11023030?\nAnswer: 11023323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 + 9 = 0. Let d = p + 1. Let g(s) = -s. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002240.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3272 - 1528 = 0. Suppose -2*p + 198 = m - 38, -5*p - 5*m = -h. Let q = 183 - p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 4, -2\/15, 5, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 2*o - 59 + 86.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7*x = -39. Solve 4*a + 8 = a - 4*q, -x*a + q + 17 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.653 + 12.653. What is the smallest value in -2, -1\/3, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 27, -13, -79, -177, -313, -493?\n\"Answer: -l**3 - 4*l**2 - l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2698 + 2699. Is 44\/35 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145631 (base 7) in base 9?\nAnswer: -43012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (-5 - 6 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-8 - 20) - (-51 - -49)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 1565550?\nAnswer: 1565550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*v**4 - 3023*v**3 + 158140*v**2.\nAnswer: -3048*v - 18138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16990 - 8348. What are the prime factors of g?\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196447 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21000 + 42003\/2. Which is the second smallest value? (a) -1\/2 (b) -0.19 (c) f (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, 4.4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 + 23\/(-24 + 70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352 - 235307*w + 235308*w + 1352.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/49 and 5\/1337?\nAnswer: 9359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-20)*(-25)\/(-50))\/((-18)\/2880).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25 + 57 + 29 - 34*x + 63*x. Let r be m(-2). Solve -2*g = r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -3*d + 5*p, -d = p - 10. Suppose -d*r + 3 = -4*z, 2*r + 4 = z + 7. Calculate the lowest common multiple of (-4 + 1)\/(27\/(-18)) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5080 + 5152. Calculate the greatest common divisor of 944 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -922, 58, 1694, 3992, 6958?\n\"Answer: i**3 + 322*i**2 + 7*i - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -131.2 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232108801*h**2 - 402128009 with respect to h.\nAnswer: 464217602*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89\/57 - -5\/3. Suppose c = -3, -4*u + 3*u - c - 3 = 0. Let a = 1 - u. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 - 71217*f**5 - 4*f**4 + 68516*f**2 - 11?\nAnswer: 120*f**3 - 4273020*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s\/(s**3*s))*s)**11\/((s*s**(-1))\/(s*s**6\/s)))**23)**(2\/7) assuming s is positive.\nAnswer: s**(2806\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106813.96 - -106814. Let r = 3.4 + -3. What is the closest to -1 in r, -1.3, g?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let o(i) = -i**3 + b*i**2 - 6 + 0 - 1 + 1. Let n(p) = 2*p**3 - 3*p**2 + 7. Let c(y) = 6*n(y) + 7*o(y). Find the third derivative of c(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15541 - 224241?\nAnswer: -204300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -393*v**2 + 3*v + 1. Calculate q(-1).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {e: 2, k: 3, o: 2, r: 3, t: 1, j: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 68 = 60. Solve 4 - k = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:12 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*a + 1213 - 1202 = 0, -4*a - 12 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 18327.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 31. Let t(p) = -472*p + 9433. Let v be t(20). Give f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llmlmmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 3\/4 (c) -11 (d) 0.25 (e) -0.5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -592*j + 296*j - 17 - 14*j**2 - 125 + 299*j wrt j.\nAnswer: -28*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, -1, 17.\nAnswer: -29, -4, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let a(i) = -498272*i. Calculate t(a(j)).\nAnswer: 496549971968*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 57*x + 29 = 60*x, -g - x = -5. Determine c so that -85*c + 4*c - g*c + 180*c + 2*c**2 = 0.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 19 + (-2)\/(-1). Let z be y + -15 + (-2)\/6 + -1. Let k be ((-5)\/2 + 2)*-2. What is the closest to k in z, -3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -884 + 914. Let t = -207 - -206. Which is the second biggest value? (a) t (b) -35 (c) o (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:29 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, u: 2, j: 2, g: 1, z: 2}. What is prob of sequence wz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18336623707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 649*b + 1046. Let r(t) = 4*t + 1. Let j(d) = g(d) - r(d). What is the first derivative of j(s) wrt s?\nAnswer: 645","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54a (base 11) in base 6?\nAnswer: -3015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {o: 1, a: 7, g: 5}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 13826961?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 33*l - 99. Let r be i(11). Let u be (2 + r\/18)*6. What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2701, -10683, -23987, -42613, -66561, -95831, -130423?\n\"Answer: -2661*k**2 + k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*l - 13, 3 - 8 = -5*y - 5*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*o + 140892 = 1170*o + 1416*o for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.36 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39116d (base 14) to base 10\nAnswer: -1962253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/2)*x*(x\/(x\/((x*x\/(x*x**(2\/5)))\/x)))\/x*x\/(x\/(x*x**6))*x**(3\/17))**12)**(-1\/26) assuming x is positive.\nAnswer: x**(-207\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -87, 2, 3, -5, -2\/95 in decreasing order.\nAnswer: 3, 2, 2\/7, -2\/95, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*w + 55. Suppose 4*a = -2*h - 60, 3*h + 4*a = 9*a - 46. What are the prime factors of w\/(-25)*(3 - h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/20 + (-6)\/(-15))*-122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-1)\/(-8)). Let g(s) = -s**2 + 12*s - 8. Let o be g(11). Let j = o + 9. What is the greatest common divisor of j and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 - -213. What is the smallest common multiple of 106 and a?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (21 + -30 + 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -156\nAnswer: -11\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255605848.\nAnswer: 2, 31950731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-21)\/(-15))*-5. Suppose 3*n - 4*l + 14 = 0, 15 = 7*n - f*n + l. Solve 0 = -3*t + 4*i + 13, t + 7*i = n*i - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3)*(-102)\/(-340))\/(10\/360).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 16, 29, 46, 67, 92, 121?\n\"Answer: 2*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u - 2*u - 3*u + 57 - 2 + 12 + (1 + u - 1)*(-6 + 1 + 3) + (0 + 1 + 4)*(-3*u + 0*u + 0*u).\nAnswer: -21*u + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -18. Let z = 229589.4 + -229589. What is the third biggest value in 0.5, 4, z, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 13, 3.\nAnswer: -5, -1\/3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44461 and 619686.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v + 815. Let c be b(28). Solve 3*s - 5 = s - 3*a, -a = c*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-204)\/1955)\/(-4 + (-28)\/20*-3). Sort -5, -3, -1, r, 5 in ascending order.\nAnswer: -5, -3, -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3174*-13195\nAnswer: 41880930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-3)*-1)\/(-5 - -7). Suppose 2*g + 8 = -4*z, -2*z + 0 = -5*g + 4. Put z, -5, q, 7 in decreasing order.\nAnswer: 7, q, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 3397*q - 63 + 172 - 62 to x + l*q and give l.\nAnswer: -3397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37349950 rounded to the nearest one hundred thousand?\nAnswer: 37300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495*w - 2415 = 1488*w. What is the lowest common multiple of 9 and w?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10926, 10920, 10926, 10950, 10998, 11076, 11190, 11346?\nAnswer: 11550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 + 52 + 8 - 2*l)*(0 - l + 0)*(2*l - 3*l + 2*l) as u*l**3 + p*l + b + i*l**2 and give i.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -0*m + 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176252881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k)*(2 + 2 - 3) + 169 - 169 + 12*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 - -314. Let o be 20\/u + 2\/(-13). Solve -4*q - 12 = -o*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 12*i**2 + 2*i - 14. Let b be s(12). Solve 2*k - b = -5*z - k, k = z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 5*q + 9*q + 16, -14*s + 11*s - 10*q = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47055562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -4 (b) -1\/5 (c) 0.4 (d) -3 (e) -11\/3273 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**5\/7 + 22*i**4\/7 + 2*i**3 + 2*i**2\/7.\nAnswer: 2*i**2*(i + 1)**2*(5*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1482 divided by -4.\nAnswer: 741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3 - 6 - 6*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n. Suppose 16 = -4*c, -5*f - c + 21 = -n*c. Suppose 15 = 5*l + f. Solve -l*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 5*k = 504. What is the remainder when 2042 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 17. Suppose 10*u - 5*u = 15. Suppose -u*h + 2*h = 4*h. Solve h*i + 2*i - 2 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 149 - 5*n - 5\/2*n**2 + 3\/2*n**4 + 0*n**3. Let i(t) = -t**3 + t + 1. Give -d(b) - 5*i(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d - 19*d - d**3)*(64 + 49 + 37).\nAnswer: -150*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99128885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 739944417 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2185 + -859. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*b)**(-3\/7)*(b**(2\/3)*b)**(-5\/4) assuming b is positive.\nAnswer: b**(-319\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 631 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.05986 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7874?\nAnswer: 7874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/2, 92, -2\/3, -3 in descending order.\nAnswer: 92, 3\/2, 0.5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j - 2. Let y be p(-3). Solve a - 2*a = -y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19308 and 3.\nAnswer: 19308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2069, 8122, 17911, 31190, 47713?\n\"Answer: -41*r**3 + 2114*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 6\/7 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 52. Suppose -9*w - w = -y. Suppose -q = w*q - 16. Solve -2*s - 20 = -q*u, u - 25 = -4*s - 4*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1873\/6? (a) 0.2 (b) 1 (c) -0.3 (d) -0.4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -31*z + 2*s + 38, z + 5*s - 3 = 0. Solve -m - z = 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 12}. Give prob of sequence vhhh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*r - 2*w - 8, -r + 2*w - 8 = 0. Suppose -2*j - 2*j = r. Let k be (j\/3)\/(1*-2). Sort 3, k, -3 in descending order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -165 + 0*x - 15*x + 189*x**2 + 82*x**3 - 19*x**3. Let l(z) = -13*z**3 - 38*z**2 + 3*z + 33. Let d(h) = -24*l(h) - 5*n(h). Factor d(t).\nAnswer: -3*(t - 1)*(t + 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = y, -4*k - 2*y + 26 + 2 = 0. Let r be 6*((-10)\/(-4) + -1). Suppose -r = -3*i + 6, -3*g = 2*i - 40. Solve 2*j + g = k*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9280)\/45)\/(-32) + -6.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.508 decades to months.\nAnswer: 104100.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.037 + 1.037. Let c be (-21)\/14 - (-1)\/((-12)\/258). Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112899048 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -2*m, -9 = -3*g + m + 35. What is the remainder when 27 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3333 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.38287 to the nearest integer.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56725754 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*x + 1. Let b(j) = -3*j - 9. Let u(n) = 2*n + 5. Let l(p) = -3*b(p) - 5*u(p). Determine l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33699, 31115, 28531, 25947, 23363, 20779?\n\"Answer: -2584*n + 36283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 25*v + 45*v - 1393. Calculate the lowest common multiple of 240 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301893122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46101.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 5*sqrt(1300))*-1 + -2*sqrt(1300)*3 + 5)**2*-2.\nAnswer: -374450 + 2400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42 and 3.67076.\nAnswer: 1.5417192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.03 + -0.03. Suppose 5 - 1 = 4*u. Let y be (-4)\/(-8)*(-4)\/u. What is the nearest to 0 in -1\/4, y, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 = -21, -5*v - 176 = -t. Suppose 5*b - t - 154 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21895, -43166, -64435, -85702, -106967, -128230?\n\"Answer: m**2 - 21274*m - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/208 (b) 0.1 (c) -34\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + -99 - (1 + 16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3089914 and 18.\nAnswer: 27809226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -14)*2\/(-6). Let m = 132 + t. Let n be (-135)\/(-8) + 3\/24. Calculate the highest common divisor of m and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57064 is divided by 57020?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -219, -216, -213, -210, -207?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -457*v**4 + 499 wrt v.\nAnswer: -1828*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 413 = -5*t + 2*z, -5*t + 2*z + 412 = 0. Let j(n) = 82 - t + n. Let y(q) = q**2. Calculate y(j(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -984928044.1.\nAnswer: -984928045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-12))\/(3*245\/(-84))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t**2 + 0*t**2 + 0*t**2)*(3*t**2 + 0*t**2 - 5*t**2) + 7*t**4 + 0*t**4 - t**4)*(2 - 2 + 2*t).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561 + -561. Which is the closest to 1\/3? (a) 2\/11 (b) k (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by 97?\nAnswer: 354\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -37. Solve 4*r = g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((152064\/810)\/44)\/(2\/15))\/(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -1. Suppose 0 = -0*n + 2*n - x. Suppose 0*c = -c - n*i - 1, -3*c - 5*i = 3. Which is bigger: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 113, -0.4 in decreasing order.\nAnswer: 113, 0.4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-5 + 2 - -4). Does 18 divide -159*(2 - (3 - r))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/(-21) + 2 + 0. Let c = -0.09 + 10.09. Let p = c - 16. Put t, p, 0.1 in increasing order.\nAnswer: p, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:08 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 641 = -639 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - -0.07. Which is the biggest value? (a) 1.7 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuze when four letters picked without replacement from {i: 1, u: 3, a: 1, e: 2, z: 5, q: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 12660*x - 12692*x - 2438 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.436 + -0.064. Let u = 4 + 27. Let t = o + u. Which is the biggest value? (a) t (b) 2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-210)\/48 - -5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Suppose 2*x + 5*c = 3*x - 47, m = -5*x - c + 313. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255 divided by -2?\nAnswer: 5255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3545*x + 1869*x - 113575 = 2867*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 46. Suppose -17 = -a - 3*v, -14 = -a + m*a - 4*v. Suppose 2*k = 5*k - i - 11, -a*k + 7 = -i. Solve -k*c = -9*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -67.4. Which is the nearest to 2\/3? (a) 1 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:07 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 - 75*o**3\/4 + 147*o**2\/4 - 73*o\/4.\nAnswer: o*(o - 73)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9629?\nAnswer: 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 9*c - 8. Let l(k) = k**2 - 21*k - 98. Let a be l(-4). Let q be 10 - 13 - (6 + (-1 - a)). Calculate z(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2.7, 2\/5 in descending order.\nAnswer: 42, 2.7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 44*p - 2360. Let j = p + -943\/4. Which is the closest to -2? (a) -0.5 (b) -1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1384\/3 + -461. Which is the closest to 1\/27? (a) q (b) 0.3 (c) 0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 - 10 = 0. Solve -a*r - 4*h = 4, 11 = -3*r - 0*r + h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/(-36))\/(2\/4))\/(17\/17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 33, 46?\n\"Answer: 13*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377 + 476. Calculate the least common multiple of 21 and h.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 11*j**2 + j + 13. Let k be n(-11). Suppose -3*o = -u + k + 2, 2*u - 8 = 3*o. Which is the nearest to 0.2? (a) -5 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0 + 3*s - 1\/3*s**3 + 0*s**2 + 1\/4*s**4. Find the second derivative of q(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248710271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1732461 or 1732435?\nAnswer: 1732461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 417318 less than 417201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -766, -699, -510, -139, 474?\n\"Answer: 10*h**3 + h**2 - 6*h - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j + 10. Suppose 0 = 5*d - 5*h - 365, -d = -6*h + 2*h - 88. Let m = -39 + d. Calculate the remainder when m is divided by b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 848\/85 - 156\/17. Let g*p**2 + 0*p - 16\/5 = 0. What is p?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -48*j - 8 + 8 + 73*j. Let c(h) = -h. Give c(s(z)).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 4, e: 2, c: 8, z: 4}. Give prob of sequence ezme.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1183 + -969. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*j - 212*j + 813*j - 1 - 250*j - 2 to the form g*j + a and give g.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48466378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 + -252. What is the closest to -10 in g, 0.13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbluzcu. Give prob of sequence ucud.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5874 - -11761. What are the prime factors of t?\nAnswer: 5, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 7. Determine d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(-1) + 1792\/(-5120)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 425 + 428 - 40*m. Let d(h) = -77*h + 5. What is 3*d(c) - 5*s(c)?\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1*24\/(-42)*-7. Let g(c) = c**3 + c**2 + 19. Let y be g(0). Is w less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 107358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 583.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 23. What is the first derivative of -5*n**4 + c*n**3 + 57 + 7*n - 7*n**3 - 4 wrt n?\nAnswer: -20*n**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6644.992 millilitres?\nAnswer: 6.644992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 228\/84 - (-2)\/7. Does 7 divide -40*(38\/(-10) + n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 74 - 163 + 47 + 59*s**3 + 28*s**3.\nAnswer: 87*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a2 (base 12) to base 8.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24248*a**2 - 12*a + 2990?\nAnswer: 48496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-20))\/((-3)\/(-4)). Which is the nearest to 1? (a) -1\/3 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 78 = 20*m. Suppose 0 = -9*x + 4*x + 3*v + 42, -5*v = -x + m. What is the least common multiple of x and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 21272664*k - 28282889603556 = 0. What is k?\nAnswer: 2659083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1148, 1112, 1074, 1034, 992?\n\"Answer: -k**2 - 33*k + 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 3 - 1 + 8*x + 2 - 13*x. Let y be s(-4). Let r(v) = v**2 + 2*v - 6. Let a be r(y). Solve -a = -2*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*2)\/(100\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9*z = -5*d, -z - 2*d + 15 = 0. Let o = -14 + 21. Calculate the remainder when o is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1330)\/304*5\/35.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Let l = 0.1536 + -0.2536. Which is the smallest value? (a) 4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 - 384.1881?\nAnswer: -942.1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1405 or 9\/20?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {x: 5, o: 5, h: 4, g: 1, f: 3, b: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*j**3 - 1 - 3*j**4 - 212*j**3 + 415*j**3 to the form m*j**2 + a + q*j**4 + z*j + c*j**3 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/4 + 4*k**3\/3 - 3*k**2\/2 + k - 21. Give o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1629 by -7.\nAnswer: -1629\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyz when three letters picked without replacement from {z: 4, c: 2, y: 3, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 0*q - 2*q - 20, -16 = -5*g - 2*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 + 118*d**3\/3 - 464*d**2 - 1654*d. Factor q(p).\nAnswer: -(p - 232)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 + 210. Let p be -482*3*4\/24. Let o = i - p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421787811 by 140595937.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3*x*y**2 + 5377*t**3*x + 2*t**3*y**2 + 3*t**2*x*y**2 - 1085*t**2*y**2 + 8*x*y**2 wrt t?\nAnswer: -6*x*y**2 + 32262*x + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -382. Let x = w - 237.818. What is x rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4 + 2)*2075. Suppose -65*b + y = -40*b. What are the prime factors of b?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*r - 81 = 0, 118 - 6 = 5*p + r. Let y = p - 15. Solve 2*u + y = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/4 - 4099*l**3\/4 + 16371*l**2\/4 + 36891*l\/4 - 36855 = 0?\nAnswer: -3, 3, 4, 4095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -3*p**2 - 18*p + 19. Differentiate d(c) with respect to c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.77 in 50, 2\/7, -1, 0.2, 0.11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 28. Let c be a(-12). Suppose -4*s - 2*q + 56 = 0, q - 2*q = -c. Let h(u) = u**3 + 6 + s*u**2 - 37*u**2 + u + 19*u**2. Calculate h(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 22*x**5\/7 + 39532*x**4\/7 - 122466*x**3\/7 - 118640*x**2\/7 + 288136*x\/7 + 244800\/7 = 0.\nAnswer: -1800, -1, 2, 34\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 104, 3 in ascending order.\nAnswer: -2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 1. What is the remainder when 6 is divided by -1 + (-3 - 1)*y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:42 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5246.4 - 120.1087067.\nAnswer: 5126.2912933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/h*h**(-12)*h*(h*h*h*h**6*h)\/h**(-3) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1284 and 2675?\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 36 = -3*b, -3*r + 2*b - b = -16. Let q = -203303\/16 - -12701. Find the common denominator of q and -2 + (-254)\/(-6)*1\/r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1216) - (sqrt(1539) + 1 + sqrt(19)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sykkgsskssgwkgywygsy. What is prob of picking 1 w and 2 s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amomoib. What is prob of picking 1 m and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 42*a**2 - 291*a - 125. Determine n(-48).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 3.9.\nAnswer: 0.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l - 1. Let d = 4 + -6. Let n be w(d). Let f(b) = -2*b + 1. What is f(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1)*(-9 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(216*s - 95*s - 82*s) + 2*s - s + 4*s + (-3*s + 2*s + 3*s)*(0 - 1 + 0) to v + c*s and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15743750413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 + -4)) + (-18 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*o + 3 = 0, 0 = -f + 5*o - 12 + 17 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1\/(-3)*-9. What is the remainder when (-204)\/(-10) - m\/(-30) is divided by 2\/(-8) + (-90)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46314 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f442e0 + -3?\nAnswer: f442dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 + -100. Let m be 0 - 2*2\/(-12). Is p at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120085 is divided by 1847?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 92 in increasing order.\nAnswer: -5, 1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/6 + 7*k**2\/2 - 3*k. Let p be r(-8). Let l = 250\/279 - 14\/31. Is l > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 94*d + 4706. Calculate u(-50).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3209)\/(-51) - 157626\/2502.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + -3*(2*sqrt(2448))**2 + 4 + 4.\nAnswer: -29374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(-1)*-46. What is the units digit of (o - -1)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 20 (c) -80 (d) 3 (e) 2\/13 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-7) - (11 + (-826)\/49). Let g = -1 + 4. Let d be (-4)\/g*36\/(-8). Solve h*j - 2*j = -d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33866 + -34047. Suppose -4*w - 540 = -w. Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -63, -94, -123, -150, -175?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 + 405. Let o = 51 - 76. Let g be o\/(-3) + (-6)\/(-9). Solve c*s - g = 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 14 = -34*r + 31*r, 2*m = -10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 16006*a.\nAnswer: -a*(a - 16006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 + 4*j + 6. Let r(f) = -2*f**3 + 6*f**2 - 3*f - 5. Calculate -6*r(m) - 5*t(m).\nAnswer: 7*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 3. Let r(h) = -2*h**2 + 3. Let u(y) = 22*y - 84. Let o be u(4). Give o*j(m) + 3*r(m).\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120850436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33126 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80221662 by 6.\nAnswer: -13370277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 60*q**2 - 118*q - 4. Let n(i) = 2*i**3 + 130*i**2 + 235*i + 7. Let c(x) = 5*f(x) + 3*n(x). Find the second derivative of c(r) wrt r.\nAnswer: 6*r + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3 + (sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2))**2)*-2 - (sqrt(32) - (1 + sqrt(2592)) - (-1 + sqrt(32))*5)**2) + -5.\nAnswer: -5481 + 416*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -55, -75, -113, -175, -267, -395, -565?\n\"Answer: -v**3 - v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 856, -12, 21 in ascending order.\nAnswer: -12, 5, 21, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + (-2272)\/(-14). Let w be (-2 - 117\/13) + 94. Let n = a - w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.00009 + -15. Round o to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 - 4. Let u = l + 0. Which is the nearest to -1\/4? (a) u (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - -12317?\nAnswer: 12257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 188 = 19*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7246 - -7244.5. What is the closest to c in 63, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (125\/(-9))\/5 - (-75)\/25. Suppose -4\/9*a**3 + 2\/9 + 2\/9*a - 4\/9*a**2 + s*a**4 + 2\/9*a**5 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {c: 1, e: 2, i: 5, y: 1, w: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 70*p**2 + 85*p. Let d(z) = -5*z**2 - 6*z. Suppose -t + 5*m + 6 = -0*t, 2*t - 3*m = 12. Give t*j(f) + 85*d(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 - (-9 - (-160)\/(10 + 0)) is divided by 62?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010111010011111010110 (base 2) to base 14\nAnswer: 546902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11269888*n - 11548510?\nAnswer: -11269888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1410 = 2*r, 3*t - 13*r - 1410 = -16*r. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-10)*390\/(-165)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.868215 days?\nAnswer: 507013776000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 + 3156*x**2 - 636480*x + 5475600 = 0.\nAnswer: 9, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40504995.\nAnswer: 3, 5, 151, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 (base 16) in base 10?\nAnswer: -917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2488 divide 23382224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*6)\/sqrt(11).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 467511?\nAnswer: 467511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-28)\/z**(-33) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140556 + -4?\nAnswer: -140563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-2420)\/2178*30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n - 3*b - 11, 3*b + 3 = 3*n. Let o(x) = -x**3 - 3*x**2 + 2. Let y be o(n). What is the units digit of 12\/((-5)\/y + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9) - 0 - 44\/(-12). Solve 5*a - 11 = a - 3*v, c*a - 4*v = -25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 != -1397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 198. Calculate the least common multiple of 120 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449 + 153. Suppose -7*l = 147 - t. Suppose -2*q + 59 = -l. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 4*f**2 + 5*f**2 - 2*f**3 + 2*f**4 + 2*f to the form o*f**2 + s*f + v + p*f**4 + j*f**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 26*l + 6. Calculate d(-11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**2. Let k(g) = g**3 - g + 1 - 2 + 0. Let z be k(-1). Is m(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103258 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 569815535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3*a**4\/2 + a**2 - 60*a + 11. What is the first derivative of m(l) wrt l?\nAnswer: -18*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(44))**2 + 2.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*d - 14, -3 = -2*z - 5*d - 30. Is 7 a factor of z - (2 + -84 - 6\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 5. Let i be n(9). Solve 0 = 5*r + 5*j - 25, -i = 6*r - 11*r + 2*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let h = 20 + -18. Let r be h\/9 + (-24)\/(-54). What is the closest to a in r, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415\/6 - 70. Let d be ((1496\/(-102))\/11)\/(((-2)\/3)\/(-1)). Put 5, -5, d, s in increasing order.\nAnswer: -5, d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41218, -329405, -1111630, -2634913, -5146274, -8892733?\n\"Answer: -41170*p**3 + p**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1087\/44 - -34943\/1540. Find the common denominator of b and -37\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 576 + -576. Suppose -12 = -7*l + 4*l. Solve 0*v = v - 5, -l*c + 3*v - 11 = b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(13\/5)\/(q\/(q*q*q**(2\/17)*q))*(q**1*q)**(-23) assuming q is positive.\nAnswer: q**(-3509\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 7*v - 6. Calculate k(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1615 divide 6235232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -42*p**2 + 84*p**2 - 41*p**2 + 10. Let x be f(0). Let t = 14 - x. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k**4*x + 2*k**3*v**2*x - 4*k**2*x - 5*k*v**2*x - k*v**2 + x wrt k.\nAnswer: 180*k**2*x + 12*k*v**2*x - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:43 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99051 by -241.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 3, a: 2, i: 8, d: 1, p: 3}. What is prob of sequence oic?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z**2 + z**2 - z**2 + z**2 + (0*z + 3*z - 5*z)*(1 - 1 - z) + 78 - 78 + 17*z**2)*(2*z**2 - z**2 + z**2 + (z - z**2 - z)*(1 - 2 - 1)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*p - 1061 + 357 = 0, 4*m - 562 = -2*p. What is the remainder when m is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161168553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35856 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/17 + 41\/102. Let q = 41 + -41. What is the closest to 0 in 1\/4, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let s(y) be the second derivative of -3\/2*y**2 - 1\/6*y**3 - 3*y + 0. Give 2*h(k) - s(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9911605?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3613055*u**4 + 3612304*u**4 - u**3 - u + u)*(3 + 0 - 5).\nAnswer: 1502*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 2 g when four letters picked without replacement from ggugufzrffgggkzgugz.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31810 and 13905?\nAnswer: 88463610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-4 - (5 + (-10 - -12) - 3) - -6).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.299 + -0.423. Let t = -0.8 + l. Round t to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(12) - sqrt(120)\/sqrt(90) - sqrt(12)) + sqrt(12))*-2 + 1 + 2 + 0)**2.\nAnswer: -16*sqrt(3) + 91\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:22 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35715556, 35715567, 35715578?\nAnswer: 35715589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1, -4, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x + 729 = 46*x. What is the greatest common divisor of x and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*((sqrt(160)\/sqrt(4))\/sqrt(8) + sqrt(245)*3))**2.\nAnswer: 1320*sqrt(5) + 87145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 30. Let i be a(-8). Calculate the remainder when (-12)\/(-54) + (2 - (-2516)\/i) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let m(o) be the second derivative of -11*o**3\/2 - 99*o**2\/2 - 13*o. Let c(a) = -99*f(a) - m(a). Let y(v) = -v**2. Calculate c(y(r)).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112120320 + 101130?\nAnswer: 112222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 2193884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)\/h**0)\/(h\/h**1*h)**(13\/2)*h\/(h*h**(3\/8))*h**(-3\/7)*(h\/(h**(-2\/7)\/h))**18 assuming h is positive.\nAnswer: h**(2063\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17231434 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9860.6 + 9861. Which is the biggest value? (a) -2\/37 (b) 0.5 (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 0*k + 0*k - 45*k**3 + 35*k**3 to l*k**2 + x + t*k + z*k**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313 - -318. Suppose -46 = -5*o + i, 0 = -0*o + z*o - 2*i - 42. What is the least common multiple of o and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j - 0*j, 3*g - 4*j - 60 = 0. What is the remainder when 97 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*b**2*t**5 + 104*b**2*t - 3*b*t**2 - b*t wrt t?\nAnswer: -12300*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.459 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 + -158?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:45 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:36 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124890 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3 - 13. Let i(v) = v**2 - 10*v + 3. Let g be i(10). Solve -g*w = -l - 8, 14 = 2*w + 3*l - d*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d = 8. Suppose 4*u + 760 = 4*l, 5*l - 974 = -d*u - u. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5881 = 14*v - 2113. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 11. Let h be q(3). Let y be -2*(-2 + 12)\/5 + 2. Let w(b) = -b**2 - 4*b + 14. Let o be w(-6). Put y, o, h in ascending order.\nAnswer: y, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4994.03ml to litres.\nAnswer: 4.99403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 16*k**2 - k - 4. Suppose y + 4*y - 100 = 4*b, 2*b = 0. Calculate the remainder when y is divided by i(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19248 - 385073\/20. Let w(s) = -s**3 - 9*s**2 + 3*s + 7. Let i be w(-9). Find the common denominator of q and 2\/i*1010\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-50)*207\/(365148\/(-120)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = -36*l + 201 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 7*y + 4. Let m be z(6). Let w(r) = -4*r**3 - 3*r**2. Let u be w(m). Let f = -36848 + 36863. What is the greatest common divisor of u and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 2457.\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 8502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g**2 + g**2 - g**2)*(8*g + 44 - 6*g - g).\nAnswer: g**3 + 44*g**2 + g + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/19 - 18*j\/19 - 20\/19.\nAnswer: 2*(j - 10)*(j + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 - 7*b**3 + 7*b**3 + 16*b**3.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 10*x. Let m be p(6). Suppose m = d - 7. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 0.011649615?\nAnswer: 39.988350385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -8 - 20) + (-39 - (-2 - -8)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 14 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 16, 37, 56, 67?\n\"Answer: -z**3 + 8*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -1\/108*a**5 + 0 + 0*a**6 + 2\/27*a**3 + 0*a**4 + 59*a**2 + 1\/1890*a**7 - a. Find j, given that x(j) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -144. Find the second derivative of 2*o**4 + 67*o**2 + f*o + 0*o**4 - 231*o - o**4 wrt o.\nAnswer: 12*o**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 239.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2611 + 188*z**2 + 53*z**2 + 2613 to the form y*z + t + a*z**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**2. Suppose 0 = -2*r + 40 - 24. Let f be ((-2)\/(-4))\/(r\/48). Let b(l) = f*l**2 - 26*l + 26*l. Determine j(b(c)).\nAnswer: -99*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101001111 (base 2) in base 10?\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9788037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24 - 19 - (-2)\/(-22)*56. What is the nearest to 66 in 1, 0, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20296228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -67.2. Let w = v + 7.4. Which is the closest to w? (a) -0.1 (b) 0.2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1541.7 + 122.2\nAnswer: -1419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15329.\nAnswer: 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -62.5*156315\nAnswer: -9769687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 440 + 62 + 15*x - 16*x + 14*x + 5*x. What is f(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*l**2 + 177*l - 177*l to the form m*l**2 + n*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*f - 16786 = 166*f - 72*f for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 59 = -5*n - 38, 3*n + 6 = 0. Let o = -24 - v. Suppose 5*k = -d + 48, -o*d + 3*d + 44 = -3*k. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.25 (c) 0.8 (d) 643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:33 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27*t**2 - 629*t - 358. Give j(24).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-45) + 329\/(-35) + 9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 8 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 3723250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = -5*h + 223. Let n be (-184)\/(-24) + (-2)\/(-6). Solve -h*b = -y - n, -2*y - b + 2 - 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 21*k - 40. What is the units digit of x(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f + 1. Let n(c) = 12*c - 1. Let q(k) = 4*m(k) + 3*n(k). Let g be q(-1). What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 6*g - 5 + 2*g. Let m = -203 + 197. Let b be f(m). Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 2\/25, 2\/7, 3\/235?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((982 - 964) + (-9 - 0))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -24*h + 48 + 29*h - 31. Give n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.82943 millilitres in litres?\nAnswer: 0.00882943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -b - 5*l, -2*l = -5*b - 37. Let h = -1 - b. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69445.8 rounded to the nearest one hundred?\nAnswer: -69400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-1)\/9). Let w = -2 + m. Suppose w*z - 3*z - 3 = 0. Let k(g) = g + 1. Determine k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -55*j - 16. Let b(z) = -28*z - 8. Give -13*b(v) + 6*i(v).\nAnswer: 34*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 21*t**6\/40 + 11*t**5\/60 + t**3\/6 - 50*t**2. Find the third derivative of j(s) wrt s.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 + 5*q + 3. Let l be x(5). Suppose 0*m + 4*r = l*m - 16, -5*r - 13 = -2*m. What is the remainder when 7 is divided by -8*(-2)\/(0 + m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44075229 is divided by 556.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21226659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 33, 27, 5, -39?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*h - 3 = 5, -2*h - 2 = 0. Let a(y) = y**2 + 3*y + 2. Let f be a(-6). Let l = f + -12. Calculate the lowest common multiple of l and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*p + 46*p + 4*p)*(-2*p + 2*p - 2*p)*(9*p**2 - 13*p + 13*p).\nAnswer: -1908*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 26880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004880153391 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-2*2)\/(sqrt(100)*-5))**2.\nAnswer: 153\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233583 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 2600181805*h - 2600181920*h + 0*h**2.\nAnswer: 2*h**2 - 115*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065887256 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xljqbbl. What is prob of picking 2 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-15))\/(3\/(-135)). Let b be (-9)\/6 - o\/(-8). Suppose -a + 4*m - 14 = -m, -5*a = -b*m - 18. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + -2 - sqrt(21)\/(sqrt(112) - sqrt(7)))**2 - (-3 + (4*sqrt(300))**2).\nAnswer: -14375\/3 - 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334839559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55605157 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*f - 18*f - 22*f - 14*f**2 - 1 - 11*f - 23*f to x + p*f**2 + v*f and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1615 - 1062. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30937?\nAnswer: 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835, 3142, 7011, 12436, 19411?\nAnswer: 27930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.04 - 7. Let x = 35.108 + -35.118. Sort 3\/8, 2, j, x in increasing order.\nAnswer: x, j, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - 8\/(-3). Let h(c) = c + 11. Let n be h(-5). Find the third derivative of 5*b**2 + b**n - 3*b**2 - d*b**2 wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = q. Suppose q*w - 2862 = -3*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = r - 6*r - 8, 8 = -2*r. Suppose 8*o = -x*y + 5*o - 97, -y - 5*o - 3 = 0. Let z be (-1)\/(-1)*(y - 3\/(-1)). Sort z, -2, 0 in increasing order.\nAnswer: z, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18104998 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (-3 + sqrt(432))*-2 - sqrt(432))**2 - ((sqrt(432) - (2*sqrt(432))**2) + 3) - -1*(sqrt(432) - (-1 + sqrt(432) + sqrt(432))*-5)**2*-1.\nAnswer: -48808 + 1020*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1393 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 106.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8, -4*s + 2*s = 25*l - 129. Determine z so that 0*z**2 + 1\/3*z**l + 2\/3*z**3 + 0 + 0*z + z**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 1495*b**2 + 111000*b - 112500.\nAnswer: 5*(b - 1)*(b + 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let h(s) be the third derivative of 0*s**3 + 16*s + s**2 - 1\/8*s**4 + 0. Give u(h(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9382, -9379, -9376?\n\"Answer: 3*x - 9385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 7.2 (c) 126\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -846275 divided by -846275\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - (-14)\/44. Let v = 21.3 - 20. Let x = 0.3 - v. Which is the closest to x? (a) p (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10248457480 to the nearest 1000000.\nAnswer: -10248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(210\/189)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2 - 6 + 8 - 16 - 11*b. Let l(z) = -6*z**2 + 4*z + 5. Let g(f) = -4*a(f) - 11*l(f). Calculate g(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 9921290.\nAnswer: -1\/4960645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b - 1. Let m(t) = t**3 + 3*t**2 - 8*t - 2. Calculate m(j) - 2*o(j).\nAnswer: j**3 + j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456016 (base 7) in base 6?\nAnswer: 4133025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -29 + (1 - -8) - (1 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (2 - -47 - 10 - 15 - 3) - -54.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 - 32 = -3*k, 2*a = -k. Suppose 0 = 2*x - k. Solve -l = -0*l - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1)\/((-15)\/(-50)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g + 5\/2*g**3 + 9*g**2 - 4.\nAnswer: (g + 2)**2*(5*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 9. Let z be i(5). Let b(w) = -w - 1. Let x(c) = -12 - 12*c + 17 - 15. Let l(j) = z*x(j) - 10*b(j). Let q(a) = -5*a. Calculate l(q(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5\/4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*c - 7. What is the units digit of 2 + -1*2\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -665*c + 678*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 7:40 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42081 is divided by 296.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 14. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/7029 and -19\/3487.\nAnswer: 2228193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 19 = -d. What is the remainder when (-258)\/(-9) - (-2)\/(-3) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/1176 - u**7\/147 + u**6\/105 - 373*u**2. Factor x(v).\nAnswer: 2*v**3*(v - 4)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 18*r + 33. Let j be w(19). Suppose 5*q = 2*l - 18 - 9, j = 4*l - 2*q. Is ((-635)\/(-1) - l) + (-12)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15 = -2*k, 2*a + 171 = 2*k + 195 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 505 - 504.98. Let x = -4.3 - -4.68. Let r = x + y. Which is the closest to 2\/3? (a) r (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 22, -261531 in ascending order.\nAnswer: -261531, -16, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1601238 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 46 = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1565 (base 8) to base 14.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 55. Let d(y) = -4*y + 165. Determine -2*d(v) + 7*z(v).\nAnswer: v + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468078679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19026, 19015, 18998, 18975?\n\"Answer: -3*y**2 - 2*y + 19031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40366, 38696, 37026, 35356, 33686?\n\"Answer: -1670*q + 42036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 25. Let f be h(-13). Let r be 7\/(-7)*(f + -5). Suppose -5*v = -3*g - 2599, -4*g = r*v - 0*v - 2092. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -4.1?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -612 + 179 + 433 + t + 3*t**2 to the form c + j*t + a*t**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(-71 + 292980\/4275).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 + -0.46. Let k = x - -1.95. Let j = k - 1.724. What is j rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5949868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522930 and 2010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4459, -4462, -4465, -4468, -4471?\nAnswer: -4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -14, 5*f - 2*g - 13 - 76 = 0. Calculate the greatest common divisor of f and 2265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away -259.7?\nAnswer: 259.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**3\/3 - 27*z**2\/2 - 13*z + 2575. Factor w(m).\nAnswer: -(m + 13)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, -13, -46, -2 in descending order.\nAnswer: 0, -1, -2, -3, -13, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 200212220 (base 3) in base 2?\nAnswer: 11010111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*w - 28, 4*y + 22 = -w + 3*w. Let s be ((-12)\/(-9))\/(y\/(-6)). Suppose -3*o - 2*q = 0, -3*o = -o + s*q + 2. Is o greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 8*d**2 + 10*d - 1. Let u(i) = i**3 - 7*i**2 - 16*i - 9. Let j be u(9). Give n(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8957 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*r = 6, 3*p = r - 9 + 2. Let n = -4 - p. Suppose 3*w - 9*y + 4*y = 3, 2*y = -6. Sort n, w, -2 in decreasing order.\nAnswer: n, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23722209 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/((-10)\/(-60)). Suppose -8 = -t*v - 0. Solve -6 = 3*h, h + v = -z - 2*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/819 - -470\/819. Which is the nearest to -1? (a) -4\/7 (b) r (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 101023?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096224 rounded to 3 decimal places?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -278, -232, -102, 154, 578, 1212, 2098?\n\"Answer: 7*f**3 - 3*f - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43403 = -3*n, 4*n - 98 = -o + 10729. Suppose -6*y = -8719 - o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52\/19 - -3829\/1406. What is the smallest value in 3, 10, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-11 + 11 + -8)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, -24, -0.1, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414420 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5b293 + -1?\nAnswer: -a5b294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 158.87?\nAnswer: 159.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**2*u**4 - 3*t**2*u - 50*u**4 - 6*u**3 - u**2 + 119*u wrt u?\nAnswer: -24*t**2*u - 1200*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5716215 + 0.751638. Let f = -0.18 + g. What is f rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 925 = v, -5*l - v + 1385 = -2*l. Let h = l + -456. Solve 0 = -9*o + 6*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from qfcttchfcft.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o + 4*o. Suppose 2*p - 2*d + 130 = o*p, -4*d = -5*p + 182. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 90. Let r be x\/14 - (-1 + -2 + 3). Which is the closest to r? (a) 4\/5 (b) 0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43, 431, 413 in increasing order.\nAnswer: -43, 3, 413, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90519 and 8229.\nAnswer: 90519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15367 + 1?\nAnswer: -15366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9735041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*u**2*v**3 - 1221955*u**2*v + 28459*u*v**5 wrt v.\nAnswer: 156*u**2*v + 569180*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175684 is divided by 12777.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**3 - 7*v**2 + 6*v - 2. Let i(b) = 5*b**3 + 7*b**2 - 5*b + 3. Let q(l) = 6*g(l) + 7*i(l). What is the least common multiple of 18 and q(7)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 1. Let x be ((-15)\/20)\/((-6)\/16). Let j be x\/((-1)\/2*-1). Suppose j - 10 = n. Calculate r(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11101111?\nAnswer: 11110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-526*o**2 - 12*o + 9*o + 3*o)*(26 - 30*o**2 - 26) to the form i*o**3 + b*o + y*o**4 + k + q*o**2 and give y.\nAnswer: 15780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11\/88*-1*5*-2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 2. Let h = 0 + 6. Suppose n + h = 12. Determine g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*j + 13, 2*j + 5*t - 3*t = 18. Let f be (-43)\/((-602)\/84) + (-2)\/(-2)*-6. Solve 3*s = -3*k - 12, -6 = -f*s - s + j*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39537 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -77?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 6. Calculate x(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 7, g = 5*n - 11. Let k(i) = -n - 443*i + 444*i - 1. What is k(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 53*j + 5. Let l(b) = 3*b + 1. Give -6*l(g) + m(g).\nAnswer: 35*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4851 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Let k(g) = 0 - 8*g + 0 + 16 + 3. Let x be k(2). Solve -2*n - d = 2*a - 0, x*a = -2*n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 66, 211, 498, 975?\n\"Answer: 8*b**3 - b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 1. Let j(v) = 6*v**2 + 5. Let n be 4\/(-6)*(-3)\/(-2). Suppose -5*l + 2*s + 19 = 0, 2*l - 2*s + 0*s - 4 = 0. What is l*i(m) + n*j(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 22*w + 99. Suppose 5*g - 5*r = -12 - 18, 0 = -5*g - 4*r - 21. Let i be a(g). Let f(v) = v + 4. Calculate f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54366317 or 54366320?\nAnswer: 54366320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9637.\nAnswer: 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1175 and 105631325?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -107, -222, -367, -542, -747, -982?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341369597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 147*o - 5301. What is p(58)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 3, y: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1819 + 1819.5. What is the second smallest value in 0, 7\/24, g?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b + 1 = 0, 2*n + 2*b = -40. Sort n, -3, 18 in ascending order.\nAnswer: n, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 8 + 4. Suppose o*c + 0 - 12 = 0. Suppose 4*j - c*j = 12. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -2.4. Let c = -26 + 71. Let w = 44.96 - c. What is the biggest value in b, w, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*n - 28*n - 65 - 919*n**2 + 2*n**3 - 24*n + 144 wrt n.\nAnswer: 12*n - 1838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 + 12*q - 16. Let w be r(-7). Let y(f) = 14*f**2 + 2*f. What is the tens digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b9c - 2b91?\nAnswer: -ba60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let s(f) = 2*f + 214. Determine s(c(k)).\nAnswer: 4*k**2 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 17*c**2 + 5*c + 24. Let l be x(10). Let b = 1762 + l. List the prime factors of b.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 92612*y. Let g(v) = -v. Give b(g(o)).\nAnswer: -2*o**2 + 92612*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112415839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + 4 - (-3 + sqrt(12)).\nAnswer: -sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3116*-8879\nAnswer: 27666964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121211230 (base 4) in base 15?\nAnswer: 73adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from jjzpjgjppzgpzzj?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 10}. Give prob of picking 1 b and 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let j = 187 - -25. Suppose f*y - 136 = j. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9777 + 57 = 0. Suppose -3*n + c = -g - 227, -5765 = -5*n + 5*c. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -8 - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.9, 3, -0.05647?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271199 = -616*z + 556*z + 144121. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 8 + 0 - 5)*(16 - 5 - 2) in the form i*p + o and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -366 + 789*w**2 + 366 - 54*w**2 as x*w**2 + y*w + d and give x.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 + 1 = 0. Let m(o) = -6*o**2 + 1. Let n be m(c). What is the units digit of 2\/(-5) + (-7)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * 2636.\nAnswer: 371676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -294, -449, -604, -759?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(1*sqrt(11)) - (-5 + sqrt(19) + 1)**2) + sqrt(114)\/(sqrt(96)*1 + sqrt(6)).\nAnswer: -35 + 46*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x**2 - 11*x**4 + x + x**3 - 2*x**4 - 2*x**4 + 6*x**4 + 7*x**4 in the form y*x**2 + s*x + v*x**3 + z*x**4 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137966699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*474\/(-3). Suppose -t + m = -42. Suppose -5*p - 4*i = -83, t - 30 = 4*p - 5*i. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.9718697 to one decimal place.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.173 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4132 + -367. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -0.2, 0.1919?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.833164 hours?\nAnswer: 589.98984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*f**2 + 50*f**2 - 1 - 36*f**2 + 6.\nAnswer: 109*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 - 6*f + 2. What is u(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(sqrt(448) + sqrt(448)*2)*2 - (-5 + sqrt(448) + -2*sqrt(448) + 3)))**2.\nAnswer: 8928*sqrt(7) + 3874788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - c**2 - 2*c**2 + (-4 + 2*c**2 + 4)*(-3 - 4 + 1) - 2*c**2 + 2*c**2 + c**2 in the form o*c**2 + j*c + z and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 127064 and 1.\nAnswer: 127064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:11 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-162)\/(-30) - (-4)\/(-10). Suppose k - 41 - o = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-5))\/2)\/(52\/312).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1 (b) 0.6 (c) -0.8 (d) 1\/72 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81a8 (base 12) to base 6.\nAnswer: 145132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.106\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 533, 1131, 1947, 2975, 4209, 5643, 7271?\nAnswer: 9087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 6. Let j(g) = -4*g + 7. Let y = -1 + 7. Determine y*b(c) - 5*j(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 - (-2)\/5. Which is the biggest value? (a) -5 (b) -4\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 - 29 = j, 0 = -2*c + 2*j + 8. Solve -3*l = c*g - 3, 3*l + 5 + 4 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.3 and -0.049?\nAnswer: 33.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n**2 - 48*n + 357*n**4 + 112*n**5 + 12 + 35*n**5 - 94*n**2 + 95*n**3 + 106*n**3 = 0. What is n?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14160000 = 6*i + 6*i. What is i rounded to the nearest ten thousand?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) + (sqrt(95) - (1*sqrt(95) - sqrt(95)))) - (sqrt(95) + -6*(sqrt(95) + sqrt(95)*-1 - sqrt(95)) + sqrt(95)))\/(2*sqrt(15)\/sqrt(3)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 + 11*f - 16. Calculate g(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 8402 = 8192 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-90)\/(-24)))\/(6\/(-117)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 68663 = 3*d, -2*n = 3*d + 2*n - 68668. List the prime factors of d.\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 90*d - 98*d + 186*d - 76 - 82 + 235.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/5)\/k*k)\/((k*k**(-8))\/k)*k\/(k**(-2\/71)*k)*k*k**(-27)\/k*k*k assuming k is positive.\nAnswer: k**(-6096\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 135051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3694204869, -3694204872, -3694204877, -3694204884, -3694204893?\nAnswer: -3694204904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -655 + 662. Suppose -n*a = 31 - 115. Solve 3*p - 7*p = a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 9 - 11)*(-1 + 1 + 2*l)*(-5 + 3 + 3).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 19*b**2 + 19*b - 15. Let r be v(-20). Solve 5*y - 5*q = 25, -2*y = y + q + r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2152\/64 + -109 + 75.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -34. Factor 0 - 2\/5*c**3 + 7\/5*c**2 - 7\/5*c**i + 2\/5*c.\nAnswer: -c*(c - 1)*(c + 1)*(7*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -137, -180, -223, -266?\n\"Answer: -43*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(47 + 5)*64\/(-12). Put u, -37, -3\/2, 3, -0.1 in increasing order.\nAnswer: -37, -3\/2, u, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 5) to base 15.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101760 and 4007040?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85850530*a - 206000?\nAnswer: 85850530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 9:07 AM?\nAnswer: 261","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(-24)\/475)\/(3420\/194600). Let n = i + -3\/361. Find the common denominator of n and 46\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.229, 0.1, 2\/5, 25, -9 in descending order.\nAnswer: 25, 8.229, 2\/5, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/11 - 328*l\/11 - 648\/11 = 0 for l.\nAnswer: -162, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-7)\/(-14) - 2\/12). Solve n - 5*i = 0, 2*i = -n - z*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -185*y + 2. Let r(t) = 4*t. What is r(z(g))?\nAnswer: -740*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (283101\/43860)\/13 - 24\/516\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/18*3\/(-2). Let n(z) = -z**3 - 11*z**2 + 11*z - 10. Let o be n(-12). Sort 8, o, u in increasing order.\nAnswer: u, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*g - 2, 4*g = -4*y - 12 - 12. Sort 2, y, 5 in ascending order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8872762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. Let r(x) = 9*x - 5. Let j be r(3). Let p be j\/6 - (4 + (-40)\/12). Solve -d = n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(1\/36)*i**(-1\/19)*(i**(-6)*i)\/i assuming i is positive.\nAnswer: i**(-4159\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7\/3. Let l = -12.1 + 12. Which is the nearest to l? (a) -1\/7 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3461 - -13845\/4. Find n, given that y*n**2 + 3\/4 + n = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209320?\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/24)\/((1\/(-42))\/(2282\/(-1467))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5856 divided by -7\nAnswer: -5856\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4503457 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -16534.85?\nAnswer: 16535.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 0, 3, -19, 55, -3.\nAnswer: -19, -3, 0, 1, 3, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 7*p**3 + 3*p**2 + 4*p**3 - 2*p**4 + 3*p**3 as b*p + u*p**2 + q*p**3 + s + d*p**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**10*c)*c)\/c*c)\/(c*c**(4\/3)\/c))\/(c**(3\/11)*c**(-2\/13)))**20 assuming c is positive.\nAnswer: c**(-89680\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79484 - 15636 = -592*f + 3368*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4760 + -2962. Suppose 0 = -35*i + 33*i + y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:45 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)*x\/x**(2\/11))\/(x**(-1\/3)*x)**(-14\/3) assuming x is positive.\nAnswer: x**(371\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -48. Differentiate -16 - 3*n**2 - 9*n**2 + r wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(2 + 17\/(-9)). Suppose 8 = 2*i + 3*c - 3, -b*i + 4*c = 26. Is i at most as big as -7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -201?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 - (5 + -3). Suppose o - 24 + 4 = -c, -o - 70 = -5*c. Let f = -9 + c. Sort 0, w, f in descending order.\nAnswer: f, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)\/((-2)\/1 - -3). Suppose 3*m - 2*m = 5*v + 189, m = -3*v + 165. Does 23 divide ((-1)\/2)\/(h - (-171)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o - 63 = 145*o - 21*v, 3 = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**14\/x)\/x)\/x)**50*(x**(5\/7))**3 assuming x is positive.\nAnswer: x**(3865\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -164*r - j + 93, -4*j - 4*j = 5*r - 5*j - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14. Let d(w) = -18*w + 15*w + m*w. Let u(g) = -g + 34*g**2 - 33*g**2 + g. What is d(u(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (0 - 3) - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 129\/6 - 6\/(-12). Let r = -14 + x. What is the highest common factor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.088 + 0.088. Which is the nearest to x? (a) 2 (b) 1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 9 = -5*y, -6*l - 4 = 2*y - l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(156)\/sqrt(192) - (5 + (sqrt(26) - sqrt(104))\/sqrt(2))))**2.\nAnswer: -20*sqrt(13) + 1349\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = -37. Let o be (-1 + 2)\/((-5)\/d). Let -26*s**2 + s + 15*s**3 + 18*s**2 + 16*s**2 - 16*s**o + 0*s - 8*s**4 = 0. Calculate s.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100214 divided by -3?\nAnswer: 3100214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 6. Let s(j) = -6. Let t(z) = 3*p(z) - 4*s(z). Let n be t(-2). Suppose n*w + 5*w = 10*w. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62848232 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25267 + 13267. Let w be y\/(((-27)\/300)\/(-3)). Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ryygyrgggygggg?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 8*c - 7. Let h be v(9). Let l = h + 23. Calculate the greatest common divisor of l and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7.05. Let v = -0.05 - i. Let o(g) = -g**2 - 2*g + 3. Let h be o(-3). What is the closest to v in h, 3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 79*a - 640. Give z(-9).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than -59277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.32, 0.4, 1\/2 in ascending order.\nAnswer: -16.32, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Let s be (42\/(-12))\/((-1)\/v). Let o(f) = -13*f + 2. Let t(n) = -9*n + 1. Calculate s*t(j) - 5*o(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 8*c. Let d be t(8). Suppose d = -x + 3. Which is smaller: x or 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -265 and 5.\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 3*n + 0*n)*(-3*n - n - 5*n)*(6 + 10 - 4) in the form w*n**2 + y*n + r and give w.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2) - (0 - 2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 4. Let t be j(-2). Suppose -4*y - 8 = -t*y. Suppose 12 = 2*c + c, -3*h - y*c + 82 = 0. Solve 0 = 2*b + 4*s - h, 2*b - 18 = -5*s + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 7*i - 7. Let f = 35 - 42. Let z be m(f). Is z < -23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -4 (b) -1\/7 (c) -2\/9 (d) 1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = 4*p. Let l(i) = 2*i**2 + 37*i + 22. Let d be l(-18). Solve -p*o = -5*o - d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 2124, 2860, 3378, 3678, 3760, 3624?\nAnswer: 3270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 85. Solve -5*v - 18 = -d*b, -v + 0*v + b - 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -146. Suppose a = 6*a - i. Let w = 75 - 75. Solve -2*c = 9 - 1, w = 4*j + 5*c + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 20 = 2*l. Let w be 15\/l - -3 - -3. Which is the third biggest value? (a) -1 (b) 0.1 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 16*i**2 + 2 - 7 + 5.\nAnswer: -16*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (35 - -2 - 13 - 37) + (15 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f + 143. Let g be l(-7). Let i = -2 + 2. Let v(j) = j**2 + j + 1. Let x be v(-1). Solve -g*a - x + 4 = i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -28. Let g(b) = -4 - 16*b - p + 17*b + 1. Let t be g(12). Solve 4*q - 7 - 1 = 4*r, 0 = 4*q - t*r - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrpkpkooerorpkrrper. What is prob of sequence rrpo?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*o + 14, 2089 = -4*o - 5*x - 2090 + 4176 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63048315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/4 (b) -1\/8 (c) 0.1 (d) -1\/293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*u - 70*u + 21*u + 5*u - 78*u as a*u + k and give a.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539) + 2*sqrt(539) + sqrt(539) + sqrt(539))*5)**2.\nAnswer: 310464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {g: 1, o: 1, w: 2, y: 1, i: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 33. Let m = 88\/7 + o. Do -1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435009614 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q**2)*(2 + 0 - 1) - q**2 + 3*q**2 - 6*q**2 - 4*q**2 + q**2 + 2*q**2 - q - q**2 + q + (q - q - 2*q)*(-q + 2*q - 3*q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38891729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -33*w**2 + 6*w - 9. Let n(j) = 5*j**2 - j + 1. Determine i(t) + 7*n(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/60 and -37\/2472?\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**3 + 5*x**2 + 5*x - 1. Let h(b) = -4*b**3 - 2*b**2 - 2*b + 1. Calculate 5*h(p) + 2*m(p).\nAnswer: -4*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -39. Solve 0*a = u*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 22 = -v - 1, 2*s + 18 = 4*v. Let o = s - -14. Solve h = 5*k + 2, -k + o = -4*h + 2*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 11\/6*v - 1\/2*v**2 + 1\/2*v**3 + 1\/6*v**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -234, -2\/7, -62, 3 in increasing order.\nAnswer: -234, -62, -2\/7, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/29)\/n)\/n)\/n*n*n\/(n**(-3)\/n)*n*(n**(1\/2)\/n)**(-2\/95) assuming n is positive.\nAnswer: n**(10859\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -20*o. Suppose -4*n + 5*f + 143 = o, -n + f = -3*n + 61. Calculate the smallest common multiple of n and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1, 329453?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 25 + 25.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 + 7*l**2\/2 + 3*l - 13. Suppose -28 = 16*m - 20*m. Determine s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9010872 and 2304.\nAnswer: 288347904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -4. Let n = d - -64. Let i = n - 39. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -551*i + 544*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11*o**2 + 55*o - 161. Let f be t(14). Solve f = n + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i. Let r be j(-2). Suppose d = q - 1, 2*d + 14 = r*q - 3*q. Solve 23 = q*k + 23 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 630 in decreasing order.\nAnswer: 630, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let r(b) = -6*b**2 + 9*b. Let t = 43 + -44. Let x(f) = t*r(f) + 9*n(f). Let c(m) = 2*m. Determine x(c(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-46.7\nAnswer: -3.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0385 from 206.\nAnswer: 205.9615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9205859 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 963553 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -40, 74, 242, 470?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1460.5 * -0.2.\nAnswer: -292.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12327 - -12327. What is the closest to -7 in 3\/4, n, 3\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g - 3*g. Solve 18*c + 1 - 10*c**2 - 6*c**4 + 15*c**3 + 7*c**3 - 20*c**g - 5 = 0 for c.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515.581 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206.9222 + -207. Round r to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -4 (b) -613 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 3648 + 377. What is the remainder when r is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let l(s) = s**2 + 9*s + r*s**2 + 4 + 4. Let y be l(-9). Solve 2*b - y = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 9) + 14 + (-2 - 6 - -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + u**2 - 2*u - 36. What is a(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 + 5*i**3\/2 + 22*i**2 + 225*i. Factor r(c).\nAnswer: (c + 4)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 6)\/3*22\/(-20). Put 0.1, -0.3, q, 3 in descending order.\nAnswer: 3, 0.1, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329893.\nAnswer: 47, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(-619 + 621)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 9*w + 10. Let t be i(5). Suppose r = -3*v - 3, v + 0 = r + t. Let p(h) = h**2 + 10*h - 12. Let y be p(r). Solve -4*n - y - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -106.23. Round s to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187946083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2\/15 (b) 5\/2 (c) 4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -2, -2734\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 90. Let k(w) = 24*w**2. Give c(k(f)).\nAnswer: -1152*f**4 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7))**(8\/11) assuming r is positive.\nAnswer: r**(24\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 + 3*y**3 + 27*y**5 - 29*y**5 + (2*y**3 + 3*y**3 - 3*y**3)*(-4*y + 4*y + 2*y**2) - 3*y**5 + 2*y**5 + 3*y**5.\nAnswer: 4*y**5 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80462*d**3 + 80465*d**3 + d**2 - d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4 = 4*q + 24, 3*q + 32 = -5*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 65\/7. Sort -5, o, -2\/15, 5 in increasing order.\nAnswer: -5, o, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 198*b - 165. Let t be q(6). Let k = t - 458. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 16*z**2 - 3*z**2 + (2*z - 2 + 2)*(-3*z + 3*z - 2*z))*((2 - 2 - z)*(4*z + 6*z - 28*z) - 2*z**2 - 2*z**2 + 5*z**2).\nAnswer: 57*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.0385nm to kilometers.\nAnswer: 0.0000000003510385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -22?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 9*w - 16. What is the remainder when 79 is divided by c(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32819067 by 3.\nAnswer: -10939689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 1965348*q + 321882730092.\nAnswer: 3*(q + 327558)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 7*m**3 - 19*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2 (c) 0.06 (d) -30 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27752902 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 61641334.\nAnswer: 184924002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1296600 and 60.\nAnswer: 1296600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.3. Suppose -15 = -k - 5*z, -2*k + 3*z - 26 = -z. What is the nearest to n in k, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.144 + 0.044. Let o = s - -2.10177. What is o rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156 = 5*n - 3*n. Suppose -n = -17*a + 15*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l*l*l*l\/l**(-1)*l)\/(l\/l**6*(l*l**(2\/3))\/l))\/(l**(-8)*l**(3\/10)*(l\/(l\/l**0)*l)**(-2\/87)) assuming l is positive.\nAnswer: l**(16579\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 7. Let r be l(-8). Let c(z) = z**3 + 16*z**2 + 14*z - 3. Is c(r) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.52 + -10.52. Suppose -3*g + 3*l + 2 = 11, 2*l + 6 = -4*g. Which is the third biggest value? (a) g (b) 0 (c) w (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13611946 is divided by 824.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182751.\nAnswer: 3, 60917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1770\/(-1)*1. Suppose d + q = -2*d. What is d rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 10.37, 1, -5, -0.3487, 0.07, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-15)\/5 - 5\/(-5)*3. Let v(x) = -8*x**3 + 23*x. Let f(n) = -15*n**3 + 47*n. Give w*f(r) - 11*v(r).\nAnswer: -2*r**3 + 29*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 2)*(2 - 6*g + 3*g - g) - g + 3*g + 0*g in the form f*g + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 = 1. Solve r*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a - 78*a = -36. Suppose 0*s = s - 108. Calculate the greatest common divisor of a and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3\/7 (b) 1\/4 (c) -4\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, u: 3}. What is prob of sequence muum?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 18*j - 33. Let v(s) = 3*s**2 - 53*s - 98. Let a(d) = 8*c(d) - 3*v(d). Let y be a(21). Let q = 173 + y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*k - 122*k + 15 + 238*k)*(3 + k - 2*k - 1)*(1 + 5 - 4).\nAnswer: 8*k**2 - 46*k + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 389521 and 1947601\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 994609072*l + 919667511 with respect to l.\nAnswer: 994609072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l + 12, 558 = i + 5*l. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5 = 4*p + 7 + 13, -4*p + 5*v + 51 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-20 + 1)\/((-33)\/47751)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:17 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1429*n - 4 - 2*n**3 + 2*n**2 + 4*n**4 + 1441*n + 4 to f + r*n + v*n**4 + w*n**3 + j*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453871351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -1 + sqrt(5) + 0 + ((-4 + (1*sqrt(5) - sqrt(5)))**2 - sqrt(5))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 16 = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50984.088663 take away 2?\nAnswer: 50982.088663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -809? (a) -0.5 (b) -2 (c) 2\/61 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.46?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*f + 42 = 0, -9179*o - 2*f + 3*f = -9189*o - 3*f + 116 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -350, -351, -352?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:11 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzjjkkzjjjjjjjkjqjj. Give prob of sequence zq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 181081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 12 = -4 - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/2)\/(51\/(-68)). Factor 14*r - y*r**2 - 5*r**3 + 21*r**3 - 19*r**2 + 47*r**4 - 48*r**4.\nAnswer: -r*(r - 14)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 66*u - 30. Suppose -5*s + 5*b + 58 = b, 0 = 3*b + u. Calculate the greatest common factor of 160 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 76 = -4*i, c + 142 = 4*c - i. What is the highest common divisor of c and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-4 - (-2 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 5)\/(2 - 0). Suppose k*a - 8 = 0, 166 = 2*l + 3*a - 6*a. Let y = -89 + l. Put 1, y, -3, -6 in decreasing order.\nAnswer: 1, y, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*y + 2*w + 22, 3*y - 4*w = -17. Let t = -339 - -350. Let n be 5 + (-2 - -2) - (t + -1). Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960172643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 8) to base 10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786*k = 783*k + 69. Solve -i - 3 = 3*i + 3*g, 4*g + k = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23334 and 492.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and -85\/3894.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 33*n**2 + 6*n + 16. Let o(r) = r**3 - 36*r**2 - 7*r - 17. Give -6*k(s) - 5*o(s).\nAnswer: s**3 - 18*s**2 - s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.9 + -45. Let l be 5\/((-25)\/8) + 12\/6. Which is the nearest to -1? (a) 0.2 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13711*y**3 - 7*y**2 + 30*y - 7. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n - 15. Let u(h) = -h**2 + 11*h - h**2 + 1 - h**n - 3*h**2 + 8. What is the units digit of u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477630555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2 + 2)*74\/37. What is the closest to 0 in 2, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/3)*a)*a)\/(a*a*a**(-3))*(a**(-1))**(-50)*(a**(1\/4))**(-7\/3)\/(((a**(2\/11)\/a)\/a)\/(a\/((a*a*a**6)\/a)*a)) assuming a is positive.\nAnswer: a**(2093\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(13) - (sqrt(117))**2) + -5)*5.\nAnswer: -5*sqrt(13) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -31880 bigger than -6521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 13*b - 232799 = 0. Suppose 17*n + 906 = b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 99 = -b. Let c = b + -999\/7. Factor 4\/7*o**2 - c*o + 6\/7*o**3 + 0.\nAnswer: 2*o*(o + 1)*(3*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-6)*8907\/(-273148)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 312, 1, -17, 7991 in increasing order.\nAnswer: -17, 1, 312, 7991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2142 - 414?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -26183\nAnswer: 3\/26183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 3*x, -2 = -2*i - 2*x - 0*x. Let f be -28 - 0 - (i - 7). Let a = f - -60. Calculate the greatest common divisor of 33 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - h - 111 = 0, 244*h = -0*n + 2*n + 246*h + 38 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003117 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 858876a + -4?\nAnswer: 8588766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371211.\nAnswer: 3, 123737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 23*v**2 + 14*v - 8. Does 38 divide u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -449*u**2 + 1351*u**2 - 301*u**4 - 457*u**2 - 451*u**2 + 2*u**3 to z*u**2 + v*u + k*u**3 + o + w*u**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -32. Calculate the remainder when t\/21 - (-215)\/7 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 9. Let r = -52 + 65. Let u = r - 17. Let n(h) = 3*h - 8. Let x(d) = u*z(d) - 5*n(d). Give x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10917762407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/12*876\/730.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + (72 - 41) + -8.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 34 = 24. Let t be 2\/5 - 48\/(-5). Suppose r + r - t = o, 0 = 3*r + 2*o - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 16 - (4 - (2 + -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18587 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3)\/((-2)\/(-6)). Suppose -49*h = 27 + 22. Sort h, k, 1, -8 in descending order.\nAnswer: k, 1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gva. What is prob of picking 1 g and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/((-540)\/(-35)))\/((-5)\/(-90)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 1. Let x be l*(-4 - -3) - 6. Put -1\/4, x, -0.3 in descending order.\nAnswer: -1\/4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c - 3*c + (-c + 0*c + 0*c)*(0 - 2 + 1))*(-2 - 6 - 6)*(-2 + 2 - 1) to m*c + l and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = -5*q + 504. Solve v + 1 = -n, 2*v = 3*n - 0*n + q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(-2*u**2 + 273*u - 548*u + 169*u**3 + 274*u) in the form l*u**2 + p*u + s*u**3 + a and give s.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -1\/3*q**3 + 1\/4*q**4 - 60 + 0*q**5 + 0*q + 21\/2*q**2 + 1\/3*q**6. What is the third derivative of i(z) wrt z?\nAnswer: 120*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/595*10\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359321727 to the nearest integer?\nAnswer: 18956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 2)*-1 + -6*sqrt(931)*3 + 4.\nAnswer: -133*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 3)*(-41*u + 6*u - 2*u)*(31 - 2 - 5).\nAnswer: -4440*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.67139 months to years.\nAnswer: 3.3892825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19373291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 12. Let j be w(-7). Let d be 1 + (4 - j) - -11. Suppose 16*y - 5045 = d*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqaququuqqk. Give prob of sequence qkua.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 28*d**3 + 492*d**2 + 10*d. Let r(f) = -2*f**3 - 2*f**2 - f. Calculate 10*r(b) + t(b).\nAnswer: 8*b**3 + 472*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167504?\nAnswer: 2, 3, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 7*g**2 - g - 10. Let l be x(-7). Let q be (7 - -2)\/(l\/3). Find the common denominator of 26\/(-5) - q\/(-15) and 51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (159\/(-12) + 4)*-8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001150572 to 6 decimal places.\nAnswer: -0.001151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 17*t + 13*t + 2*t - 1 to h*t**2 + j + p*t**3 + d*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from viiijejvjjjieiivjje?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 837709837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from ussusus?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - -62?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*s + 3*t, 3*t - 23 = -2*s - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 3*p - 5. Suppose -3*b = 5*m - 1, 4*b - 3 = 3*b + m. Determine v(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20604, -41201, -61796, -82389, -102980?\nAnswer: -123569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 771 = -2*c, -4*g = -4*c - 42 - 558. Calculate the highest common divisor of g and 1547.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/1*28\/98. Solve -300*l**n - 415*l**4 - 155*l**4 - 24*l + 96*l**2 - 570*l**3 + 45*l**4 = 0 for l.\nAnswer: -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 3*v + 180, -529*t + 0*v + 4*v = -561*t - 80 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 5:33 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 19 - 18 = y - 5*b, b - 4 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201426 is divided by 656?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -16 + -11 + 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1301 + 1302. Let i(f) = f**3 - 3*f**2 - 4*f + 3. Let o be i(4). Solve -10 = -o*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 16 - 4)*(5*r - 3*r - r).\nAnswer: 58*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 - 175 + 37)*((-166 + 166 + 20*q)*(5 - 3 - 3) + (-4*q - q + 3*q)*(-1 - 3 + 2)) to t*q + w and give t.\nAnswer: 2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4624.155 centuries to months.\nAnswer: 5548986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -530*d - 67. Let l(g) = -g**3 + 13*g**2 + 14*g - 7. Let c be l(14). Is s(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -19, 5, 22, 4 in descending order.\nAnswer: 22, 10, 5, 4, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j + 1. Let l be b(-4). Let q = l + 23. Find u such that 0*u**2 + 0 - 2\/9*u**5 - 2\/9*u**4 + q*u + 4\/9*u**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let b(j) = j**3 - j**2 - 13*j + 10. Let a be b(4). Let i(g) be the first derivative of 4\/3*g**3 - a + 0*g + 0*g**2. Give k(i(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7))**(9\/2)\/(o**(-3\/5))**(1\/74) assuming o is positive.\nAnswer: o**(6681\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 29 = 2*w, -2*w - 3*u + 23 = 2*w. Suppose -6 = -4*i + w*i. Suppose -i - 10 = -r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1892*o**3 + 64161*o**2 + 809776007.\nAnswer: -5676*o**2 + 128322*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30924 and 8844?\nAnswer: 22790988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u, -5*u + 25 = -4*f + f. Let b be -1*(3 + f)*6. Solve w - 3*q = 4*w, 0 = -w - 4*q + b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 99, 288, 635, 1188, 1995, 3104?\nAnswer: 4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*c + 2 = 0, 5*c = 2*q + 5 - 1. Suppose -4*f + q*j + 358 = 5*j, 5*f = -4*j + 449. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 41 + 5. Suppose 288 + 883 = 9*f - 332. What is the remainder when f is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -5. Let p = 81 - 5. Suppose p - 8 = o. Calculate the highest common divisor of t and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4006 - -4029. What is the remainder when 5839 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/13, 3, 1, -8, 0.1 in decreasing order.\nAnswer: 3, 1, 0.1, -12\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 209942 by 1.\nAnswer: 209942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11280553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636.207 years in months?\nAnswer: 103634.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 9. Let w = -94 + 87. Determine y(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from {a: 3, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -143.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by -1.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 6*b + 2. Let g be f(-6). Suppose 5*v**g + 74 - 3*v**2 + 8*v - 66 = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773187 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269 - 271. Which is the closest to 3? (a) 0.4 (b) w (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (353 - 8*b - 976 + 451 - 3*b)*(3 - 4 + 4).\nAnswer: -33*b - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 48468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/384095 or 0?\nAnswer: -4\/384095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7267\/36 + -807\/4. Suppose p + 2*p = 0. Is d >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(-196)\/(-74970) - 2\/9?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 152*l - 153*l + 233*l**2 - 234*l**2. Let o(s) = -2*s**2 - 2*s + 1. Give 3*o(q) - 4*v(q).\nAnswer: -2*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5120*((-20631)\/65)\/23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38744 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5952363 divided by -3.\nAnswer: 1984121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1, 3\/8, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1\/5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, -10, 0.3, 10, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -157*k**4\/8 - 511*k**3\/6 + 7*k**2 - 25*k. Differentiate f(o) wrt o.\nAnswer: -471","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 9. Which is the second biggest value? (a) -2 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:57 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q + 2. Let y(z) = 602*z**2 - 215*z - 430. Let g(s) = -215*f(s) - y(s). Let m(t) = -t. Determine g(m(a)).\nAnswer: -387*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14164108 less than -14164108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:06 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 310, -3.9, 1\/1014, 1\/7 in decreasing order.\nAnswer: 310, 1\/7, 1\/1014, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20561 = 108*c + 1916*c + 1308*c - 142707 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 1, f: 5, p: 8}. Give prob of picking 1 p, 1 t, 1 b, and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284003965.\nAnswer: 5, 7, 1481, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1430\/169 - 4\/6*36\/3.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q - 156 - 348. Let s be (-1048)\/q + (8\/14)\/2. Suppose 0 = 16*o - s*o. Solve b + 2*z = 6 - 0, o = -b + 4*z - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = s + 2, 4*s - 5 = -0*s - 5*b. Let c be -2*(1 - s)*-2. Let t be 1\/(-2)*1*2. Put t, -4, c in descending order.\nAnswer: c, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.044215 months in years?\nAnswer: 1.67035125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*m**5 + 274*m**5 + 178*m**3 - 554*m**5 + 376*m wrt m?\nAnswer: 40*m**3 + 1068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 u when three letters picked without replacement from uiuixuiiuuuuxiu.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7110.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-25))\/(t\/(t*t**(-34)*t)) assuming t is positive.\nAnswer: t**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 6 + 26. Suppose -a*v = -7*v + 93. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*c + 7, k + 29 = -3*c + 34 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156950, 157745, 159066, 160913, 163286?\nAnswer: 166185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.3 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 1\/603117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/(-2))\/(-13)*4\/3. Suppose -3 = -z*d + 89. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x + 0*x)*(-1 + 1 - 5*x) + 6*x**2 + 0*x**2 - 2*x**2 + (0*x - 5*x + 4*x)*(-1 - 2*x + 1) + 0 + 0 + 2*x**2 as a + i*x + v*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doooedddooddododoooo. Give prob of sequence eod.\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l**5 + 130*l - 131*l - 26*l**5 + (-l**4 + 0*l**4 + 0*l**4)*(2*l - 2*l - l).\nAnswer: -40*l**5 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*(2*-1)\/(12\/(-80)). Suppose -316*v - 4456 = -h*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b + 1. Let y(u) = -182*u - 13. Let d(a) = 13*w(a) + y(a). Let v(h) = -h - 18. What is d(v(z))?\nAnswer: -13*z - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let x(y) = 938*y**2. Calculate o(x(n)).\nAnswer: -1759688*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -13) + -14 + -40 + 109.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(0*y + 3*y - 2*y) + 17 - 29 - 5*y + 8*y.\nAnswer: 4*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i + 1\/5*i**5 + 0*i**3 + 0*i**4 + 1\/2*i**2 + 3. Find the second derivative of q(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/375 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14525*z + 5156388. What is o(355)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57780.6ug in grams?\nAnswer: 0.0577806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h. Let l(p) = p**3 - 5*p**2 - 1. Let j be l(5). Let g be c(j). Let t = -8 - g. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 34*q**3 - 46*q**2 + 8*q - 9. What is n(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25614534*l - 51229072*l + 25614540*l - 2 + 2.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 19*s - 207. What is c(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5 + 680*z**4 + 1975*z**3 - 2720*z**2 - 7980*z = 0.\nAnswer: -133, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5))\/(q**(11\/7)*q)*q**13\/((q*q*q**(-2\/13)*q)\/q) assuming q is positive.\nAnswer: q**(4542\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 + 6*x**2 + 3*x - 2. Does 2 divide i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 4*k + 3*k)*(-785265728 - 1608*k + 156*k + 785265733) as a*k + d + v*k**2 and give v.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 146. Let f be h(21). Let s be (32 - 31)*(20 - (f - -2)). Calculate the highest common factor of s and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*i + 40035 - 5363 = -36436 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 11. Let r(s) = -3*s + 11. Let i(a) = -5*b(a) + 4*r(a). Calculate the remainder when ((-40)\/(-6))\/((-10)\/(-75)) is divided by i(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99371 - 99371.41187. Round d to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and 109\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/5)\/k*k)\/((k*k**(-8)*k)\/k))\/(k**11*k**(-2\/19)) assuming k is positive.\nAnswer: k**(-389\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p + 4. Let m(y) = -23*y + 2555. Determine m(d) + 4*x(d).\nAnswer: d + 2571","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*b**2*i - 15*b**2 + 2*b*i - b + 57029*i wrt b.\nAnswer: 170*b*i - 30*b + 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2277 = 2*y - 11*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1388296182.0511 + 5\nAnswer: 1388296187.0511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/775434 and 17\/2405513.\nAnswer: 447425418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775640.\nAnswer: 2, 5, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 220*q**3 + 2248*q**2 + 6980*q + 4950.\nAnswer: 2*(q + 1)*(q + 5)**2*(q + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1605207180, 1605207182, 1605207184, 1605207186, 1605207188, 1605207190?\n\"Answer: 2*k + 1605207178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1962 + 1343. Let b = o - -609. What is the nearest to -0.3 in -0.5, 2, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9617 - 1.0617. Let m = 0.2 + 0. Which is the fourth smallest value? (a) -0.5 (b) 2 (c) m (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -362? (a) 0.1 (b) -4\/5 (c) 109.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 6 + 2*1. Put 0, q, -0.2 in decreasing order.\nAnswer: 0, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190662 divided by 95331?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-18))\/m*(m*m**(-6\/19))\/m*(m*m**(5\/9))**21)**(-21) assuming m is positive.\nAnswer: m**(-20489\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3753 and -5\/297.\nAnswer: 41283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -524, -646, -878, -1256, -1816, -2594?\nAnswer: -3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*d + d = 130, -3*u + 2*d + 207 = 0. Let j be (-1 - -2)*(u + -5). Suppose 64*i = j*i - 132. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64699540 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*u + 1 = 4*o, -u = 5. Let p(r) = r**2 - 4*r - 7. Let d be p(o). Suppose 22700 = -d*m + 15*m. Round m to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13803861 (base 9) to base 10.\nAnswer: 6852574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19434110, 19434085, 19434062, 19434041?\n\"Answer: c**2 - 28*c + 19434137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/2 + 1616*y**3\/3 - 163216*y**2 - 633. Factor o(x).\nAnswer: -2*x*(x - 404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 3823 - 782 - 2*t + 4*t.\nAnswer: 3*t + 3041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-48)\/((3\/9)\/(5\/(-15))) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45055 divided by 5?\nAnswer: 9011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = 7*h + 3978. Let g = h - 145. Let o(t) = -t**3 + 8*t**2 + 5. Give o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10220, -10099, -9978, -9857?\nAnswer: -9736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000432120282 rounded to 7 dps?\nAnswer: -0.0004321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30304?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 - 2 = 3*v, v - 3*f - 9 = 0. Does 7 divide v + 1 + 8 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 + 12.28. Let w = v + -9.6. Let a = 2.2 - w. Is -0.3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6864\/(-1089))\/(-52)*(2 + 164\/(-88)).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 110 = -5*g. Suppose 5*u - g = 28. Let i be (u - 11)\/((-2)\/(-14)). Is 1 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jejppjjepjjeppej?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. Let n = l - 9. Suppose 0 = 3*k + 2*k + 25. Is k greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/((-9)\/36)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -460, -455, -448, -439, -428?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c3959 (base 13) in base 2?\nAnswer: 1011010000001101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16*4*-5. Solve 3*o = -g + f*o + 13, -5*o = 4*g + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487*w**2 - 8*w + 6?\nAnswer: 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 2, -3\/5, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20338 - 45138. What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177735557\/531 + 334718. Let k = n - -7\/59. Which is the closest to 0? (a) -2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559215751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 691*y - 37. Let b(u) = -689*u + 28. Calculate -4*b(l) - 3*z(l).\nAnswer: 683*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106970654.\nAnswer: 2, 7, 23, 332207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 314 = 1426. Suppose 5*o = 5*x - 15, 5*x = o + 3*o + 16. Let y be 2\/x + s\/(-6). Calculate the highest common factor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23868 divided by 39\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5208 divided by 62\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335877128?\nAnswer: 2, 43, 193, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -578*k. Let l(j) = -76*j**2. Determine o(l(m)).\nAnswer: 43928*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(-2 + (4*sqrt(120)\/sqrt(4) + sqrt(30))\/((sqrt(50)*-2)\/sqrt(5)))*-4 + 1)**2.\nAnswer: 900*sqrt(3) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4962 - 4963. Which is the closest to -27? (a) z (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 556*s**2*v**3 - 223*s**2*v**2 - 2*s**2 wrt v.\nAnswer: 3336*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105574141*h - 196303385?\nAnswer: 105574141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3.80739.\nAnswer: -11.42217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 7*c + 7. Let w be o(8). Let g = w - -12. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 35, 70, 115, 170, 235, 310?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202963 is divided by 5600?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32103200 (base 4) to base 3.\nAnswer: 2222101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*v + 4 = 35, -41 = -5*j - 4*v. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d + 20. Let w = d - -7. Let n = -0.01 + 0.41. Which is the second biggest value? (a) -3 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 12. Let s be (-22)\/(-4) + (-1)\/2. Calculate the least common multiple of (1 - -1)*s*2 and i(-14).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 453.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**(1\/12)*j))*j)\/j)\/j**0*j*j\/j**(-1)*j*j**(-7))**(8\/7) assuming j is positive.\nAnswer: j**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(612)*4*6 + ((-4 + -3*sqrt(612))**2 - sqrt(612)))*-6 + 3.\nAnswer: -33142 - 1692*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -47870 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -14, -3953 in decreasing order.\nAnswer: -14, -175, -3953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1377923831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/(-5)*2*2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78841089\/1993 - 39559. Let c = q + -169441\/35874. Calculate the common denominator of 49\/100 and c.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 98*b - 1495. Let l be p(15). Let h(s) = s**2 + 27*s + 55. Determine h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 5*p + 3. Let b be w(5). Suppose 0 = -i - 0 + b. Calculate the smallest common multiple of 11 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 5*h + 3. Let j(b) = -2*b - 8. Let w be j(-2). What is a(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w - 1. Suppose -2*m = 4*u - 4, 0 = -2*u - m + 3*m - 10. Give s(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (5 - 8 - -12) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -125. Let l = z + 23.51. Let b = -1.510087 + l. What is b rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 9 = -4*b. Let x = b + 3. Suppose 0*w = 5*w - 210. Calculate the highest common divisor of x and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 + 12*v**2 - 30*v**2 + 20*v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 5 + 9 - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 297*j**6 + 29*j**2 - 6 wrt j?\nAnswer: 35640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1723*s**2*v - 1324*s**2 wrt v?\nAnswer: -1723*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655 divided by 485.\nAnswer: 131\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:29 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/7 - -319\/182. Let o = 23\/78 + l. Let t = 66 - 65. Which is greater: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 6*(sqrt(153) + (sqrt(153) - 3*(sqrt(153) + 0))**2 + -5).\nAnswer: 18*sqrt(17) + 3637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8017632 months in decades?\nAnswer: 0.00668136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3471 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-4)\/156 - 1\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1198*j**3 + 5*j**4 - 515*j**2 - 68*j**2 - 1144*j**3 wrt j.\nAnswer: 120*j + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z - 76. Let t(d) = 29*d - 152. Determine 9*g(s) - 4*t(s).\nAnswer: s - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - 92?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278248*i**3 + 170312*i**2 wrt i?\nAnswer: -1669488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45782.1m in micrometers?\nAnswer: 45782100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-27))\/(4\/(-6)). Let z(r) be the third derivative of -1\/12*r**4 - 2*r**2 + 0*r - j*r**3 + 0. Differentiate z(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.00011 - 26. What is h rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (-593 + 619 - (-36 + -1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.041314\nAnswer: 0.0123942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110122112201 + -101?\nAnswer: -1110122120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (43 - (-13 + 28)) - -14\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (0 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - w + 20, -3*c = -4*w + 2 - 0. Let u = -4 - c. Suppose u*l - 16 = -2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.6806?\nAnswer: 5.6806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 17. What is x(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:05 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, t: 9}. Give prob of picking 2 c and 1 t.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let y(q) = q. Let x(o) = -o. Let z be -3*5*(-3)\/(-9). Let a(s) = z*y(s) - 4*x(s). What is a(u(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -407107 - -6?\nAnswer: -407101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278*r + 31274 = 242*r + 5374 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14031.9990407 + 14032. What is i rounded to five dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let l = 1 + -1.4. Let o = 8 - 6. Sort l, m, o.\nAnswer: l, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -35. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Suppose 2*p - 5 = -3*o + 10, 3*p - o - 6 = 0. Suppose 4*k = 2*q + 24, p*k + k + 3*q = 24. What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 401.\nAnswer: -1\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 289918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/2, -40, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27797949 and 0.25.\nAnswer: -6949487.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2 - 3)*(2 - 1 + 1) - 1 - 1 + 0 - 1 - 1 + 4)*(-145*v**2 + 57*v**2 + 49*v**2) to p + t*v + q*v**2 and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18 - 485*y - 9 - 482*y + 960*y. Let b be l(-5). Solve 0 = 2*u + 4*j - b, 0 = -u - 0*j - 3*j + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -82?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 65*f**2 - 39*f - 194. Let r be g(-33). Put -0.2, -1, 6, r, -9\/5 in descending order.\nAnswer: 6, r, -0.2, -1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2\/3*x**4 + 0 - x - 1\/20*x**5 - 5\/2*x**2 - x**3. What is the units digit of v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1974*t**2. Let u(m) = -744*m. Give x(u(o)).\nAnswer: 1092680064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Suppose -f = 5*v + 12. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3213451?\nAnswer: 19, 169129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -54, -110, -188, -288, -410, -554?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703402 and 67347.\nAnswer: 6330618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s - 81*s - 3*s**3 + s**2 - 2 + 58*s in the form j*s**3 + p*s + x*s**2 + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-16 - 0) - (-19 + (-12 - -23))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g\/((g**(-32)\/g)\/g)))\/g)\/((g*(g\/(g**(4\/7)\/g))\/g*g)\/g))\/(g*g**(-12)*g\/(g*g**11)) assuming g is positive.\nAnswer: g**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1048 - 1.8952. Let m be (-2)\/(-8) + 10851\/(-108). Let c = m + 100. Sort c, t, -2\/7 in increasing order.\nAnswer: t, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.18?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -64\/5*y - 58\/5*y**2 - 8\/5 - 14\/5*y**3 = 0. Calculate y.\nAnswer: -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24627.05 millennia to years.\nAnswer: 24627050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2. Let o(w) be the second derivative of 0*w**2 + 4*w + 0*w**3 + 0 - 1\/6*w**4. Calculate o(g(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 325\/44?\nAnswer: 325\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 157, 291, 425, 559?\n\"Answer: 134*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-36) + 20\/(-24). What is the fourth smallest value in w, -3\/5, -52, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 10*t**2 + 7*t - 4. Calculate the remainder when 26 is divided by c(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-3*(-3)\/(-12). Let p = -36 + 107\/3. Which is the third biggest value? (a) p (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 - i - 6. Let b(d) = -d**3 + 5*d - 3. Let s be b(2). Let q be (s + 20\/(-8))*-2. Let g be (-3)\/(-9)*0\/q. Calculate y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32437549237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2\/125 of a second?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307 - 288. Suppose 0 = 13*f - m*f + 18. Solve 0*g + f*g + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15265?\nAnswer: 5, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18308, 72827, 163558, 290495, 453632, 652963, 888482?\nAnswer: 1160183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 + 14 = 0. Let s = 43 + -31. Suppose g*u + 10 = s*u. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -41 - 11\/(-6)*(-60)\/(-18)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 417\/8, -5, 0.3, 15, -3\/2, -3 in descending order.\nAnswer: 417\/8, 15, 0.3, -3\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**4 - 6759*b - 86071 wrt b?\nAnswer: -28*b**3 - 6759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-4)\/(-348)). Suppose -x = 4*k - 37, -k + o = x + 18. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-1 - sqrt(1539))*1 + sqrt(1539) - sqrt(1539))**2 - (-3 + sqrt(76))**2*6.\nAnswer: 72*sqrt(19) + 5646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85121 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**6 - 105*m**4 + 27*m**3 + 175*m**2 + 7*m - 3 wrt m.\nAnswer: -480*m**3 - 2520*m + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*p + 3*t, 9 = 3*t. Solve -z + 4 = -2*h - 2, 0 = p*z - 5*h - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44427*a**4 - 883*a**2 + 180329124*a.\nAnswer: 533124*a**2 - 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234786 and 16350.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106928 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22180 * 4\nAnswer: 88720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 433?\nAnswer: -432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5065888.\nAnswer: 2, 23, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/32*1*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 157*p + 8. Let l(g) = -79*g - 4. Let y(b) = 11*l(b) + 6*s(b). What is the units digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83001, 332041, 747105, 1328187, 2075281?\nAnswer: 2988381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 41, -0.8, 1.6, -24 in ascending order.\nAnswer: -24, -12, -0.8, 1.6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 2. What is k(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 3*w)*(-2 - 1 + 0)*(-4 + 3 - 2) as a*w + k and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/6 + (-3)\/(12\/8). Let n be (-4)\/(-6) - (-40)\/(-69). Put n, f, -0.2 in decreasing order.\nAnswer: n, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*t - z, 4*t + 2*z = -z + 31. Let b = 1 + t. Let i = 10 - b. Solve 3*m = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -597*f**3 + 3*f**2 - 10*f - 17. Is u(-2) 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 12:44 PM and 12:43 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78572 and 145056?\nAnswer: 1885728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*z + 9*z = -12, z + 4 = 2*d. Let o be (6*(0 - d))\/(-1). Suppose -4*y = 0, 1 = w - 3*y - o. Solve b + 4 = w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 17. Suppose -4079*t = -4179*t + 300. Solve -n = -t + k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 - 4*d**2 - 340*d + 692. Calculate g(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3665 * -66\nAnswer: 241890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91242469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*y + o, 5*y - 27 = 2*y - 3*o. What is the smallest common multiple of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 148, 5, 1, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 10*h**2 - h - 10. Let r = -34 + 24. Let g be k(r). Let x be (-1)\/(4\/(-230))*g. What is x rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 40. Suppose 0*p = -5*g - p - 2, -4*g = -4*p - n. Solve g = -0*z + 3*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**4 + 5959*r**3 - 103873*r**2?\nAnswer: -168*r + 35754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.133\nAnswer: 1.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 8:01 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z - 4*s, -4*z + 2*s + 15 = -z. What is the third derivative of -3*p**6 + 4313 - 37*p**2 - 4*p**z - 4313 wrt p?\nAnswer: -360*p**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 36 = -5*m. Let o be 3\/m - (-111)\/6. What is the first derivative of o*p + 1 + 1 - 15*p wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:10 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1481887 and 2979?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 - 2*l**2 - 2*l + 7. Let k be p(4). Let w be 4\/(-14) + (-25742)\/(-84). Let a = w - k. Find the common denominator of -63\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let k(d) = 605*d + 9. What is k(a(c))?\nAnswer: -1210*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 2*h. Let q(n) = 12*n - 16*n + 3*n. Determine q(j(r)).\nAnswer: -5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*n - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -153514, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394748.3100048 + 394748. Let y = -0.31 - c. Round y to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(931) - sqrt(931)*2*-5) - (5 + sqrt(931) + 1)*4)**2.\nAnswer: -2058*sqrt(19) + 46060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -324 + 321. Which is bigger: o or 0.215?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58.321 + -57.8. Let w = r - -29.379. What is w rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 + 7*r**3 - 6*r**3 - 4*r**2 + 2 + 5*r**4 to the form j + s*r**2 + y*r + x*r**3 + m*r**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 10*l**2 - 12*l - 11. Suppose 3 = 2*x - 13. Suppose 0 = 3*p - 2*p + x. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 10, 12 in decreasing order.\nAnswer: 12, 10, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 1.1, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2296 is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**3 + 4*b + 4. Let m(a) = 27*a**3 - 9*a - 9. Determine -9*d(w) - 4*m(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 1 + -5)\/(8 + (-136)\/16). Solve -c + 8 = -2*n, 0 = k*n + 8*c - 12*c + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2 - 10*m + m - 2. What is the remainder when 26 is divided by x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150096.12564 + 6.\nAnswer: -150090.12564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -238 and 32942.\nAnswer: 32704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**4 + 18*p**3 - 10*p**2 + 5*p - 55. Let u(q) = q**4 + 2*q**2 - q. Let o(t) = -k(t) - 5*u(t). Differentiate o(d) with respect to d.\nAnswer: 4*d**3 - 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37834 to three dps.\nAnswer: -0.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51239065, 102478125, 153717185, 204956245, 256195305?\nAnswer: 307434365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56.9 + -14.1. Let r = -0.452 - -0.152. Which is the third biggest value? (a) k (b) -4 (c) r (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1228 * -0.026\nAnswer: -31.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9323498?\nAnswer: 2, 31, 150379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-3) - (0 + -1 - -3). Let y be 1 + (-4 - (s\/(-2) + -6)). What is the units digit of 4 + -4 + 223 + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692532020 to the power of 1\/2, to the nearest integer?\nAnswer: 26316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38365\/23 + -1668. Which is the closest to -1? (a) -0.4 (b) 1\/2 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = s - 324. Calculate the common denominator of s\/(-60) - (-11 - -8) and (-1)\/(-1) + (-315)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6085193941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t + 3*s + 8, -4*s = 16. Suppose -q + 17 = 4*n, 3*q + 5 = -0*q + t*n. Suppose -8 = -4*y - 0*y. Solve -y = -3*u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -16189\nAnswer: -16189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00129 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 132.024973 + 0.1\nAnswer: 132.124973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9215 - -9219. Sort 1, -11, d, -4, -0.2 in decreasing order.\nAnswer: d, 1, -0.2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112168 less than or equal to 2112171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 191.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from oloxxcomoooolmoolox.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 110. Suppose -3*z + 3*g + 7 = 1, z - 4 = 2*g. Sort z, -1, d in descending order.\nAnswer: z, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 23*p**3 + 5*p**2 + 5*p - 5. Let j = -853 - -855. Let h(y) = 12*y**3 + 2*y**2 + 2*y - 2. Determine j*o(u) - 5*h(u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.345845 and 0.2825931.\nAnswer: -0.0632519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 290*c**2 + 11*c. What is the units digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = g + 9, 4*h + 2*g + 12 = 0. Sort 0, -4, h, -6 in ascending order.\nAnswer: -6, -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -22 + 1. Suppose -3*s = -f*s. Suppose s = -5*j + 5*w + 55, -5*w = 2*j - j + 7. What is the remainder when 15 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjtjtttjtt. Give prob of sequence ttt.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 7:59 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57328, 114689, 172038, 229369, 286676, 343953, 401194, 458393?\nAnswer: 515544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 6*m + 8. Suppose 3*l + f - 1 - 20 = 0, 0 = m*l + 2*f - 28. What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 55 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.0146.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (47 - (59 - 33)) - -104\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131271*u**3 - u**2 - 131277*u**3 + u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27 and -53\/9011871.\nAnswer: 9011871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -32.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3422002204 (base 5) to base 6.\nAnswer: -431033555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -74*h - 4. Let w be o(-3). Find the common denominator of (770\/95 - 8) + (-4054)\/(-836) and (2\/(-20))\/((-2)\/w).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 188828.6 and -5.\nAnswer: -944143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 6*(sqrt(18))**2 + (sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) + 2))))*-5).\nAnswer: -303 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 23455*f**3 + 5.\nAnswer: 23455*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 14*s**3 + 8*s**3 - 2*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:57 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2\/9*p**4 + 10\/9*p**2 + 0 + 4\/3*p**3 + 0*p = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3 - 4764*l**2 - 204069*l - 2136930 = 0.\nAnswer: -23, -19, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.7 + -24. Put -1\/5, 0.09, i in ascending order.\nAnswer: i, -1\/5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5672 = 5*i - k, -4*i + k + 4526 = 6*k. Let g = i - 674. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/15 and -61\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 134*u - 125. Let b be l(68). Solve 5*k - 21 + b = 2*v, -k - 6 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*k + 19, -2*j - 5*k + 3 = 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1923416 by -961708.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 25. Suppose 7 = y - f*d, 0*d + 4*d + 14 = 5*y. Let s = -7 - -10. Solve -s*a - y*o = a, -3*o = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 412280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -4)*0\/(-4). Suppose 4*r - 2*w + 5*w - 177 = j, -219 = -5*r - 3*w. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 321*r + 423. What is g(164)?\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:18 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) 14 (c) -3\/4 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 369*z**5\/20 + 59*z**4\/3 - z**2 + 18*z + 3. Find the third derivative of j(o) wrt o.\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2. Let l(w) be the third derivative of -w**5\/15 + 11*w**2. Give l(u(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uffapffpuuufpaf. Give prob of picking 1 a, 2 u, and 1 f.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1410596531428 and -86?\nAnswer: 1410596531514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3871 by -4.\nAnswer: -3871\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*y - 12 = 0, o - 4 = 2*o - 2*y. Let v be ((-2)\/8)\/((-1710)\/684*(-1)\/2). Sort v, o, -18, -4 in increasing order.\nAnswer: -18, -4, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z**2\/9 - 3990662*z\/9 - 162884\/9 = 0.\nAnswer: -40721, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(1 - -3) - 0\/1. Let o(z) = -3*z**2 + 3*z. Let g(u) = 3*u**2 - 2*u. Give c*g(m) - 2*o(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 20, -5 = 5*h + 3*p. Let s(x) = -x**3 - 13*x**2 - 10*x + 27. Let r be s(-12). Suppose c = h*c - r. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6632.7 - -6633. What is the nearest to 2 in -0.2, -7\/3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -59, -63, -67, -71, -75?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8*y = 9. Suppose 0 = t + y*z + 4, -z - 1 + 8 = 2*t. Factor -t*m**2 + 10*m**4 + 19*m**2 - 5*m**5 - 18*m**3 + 2*m - 6*m + 3*m**5.\nAnswer: -2*m*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyb when three letters picked without replacement from ayhbmcbmmbbbbybb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092806 is divided by 499?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 + f + 3. Let k be u(4). Let x(g) = 3*g + 3. Let w be x(0). What is the nearest to -1\/3 in w, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62693851 - 82.37306559. Let u = i - -83. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1118*i - 581*i - 849*i - 1)*(-6 - 1 - 3)*(-6*i**2 + 6*i**2 + 4*i**2) as k*i + l*i**3 + c*i**2 + r and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2352 and 311248?\nAnswer: 933744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 2 + 2 + 9*x**3 + x**2 - 80*x**3 in the form j + y*x + z*x**2 + c*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -100?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (14 + -31 - -11 - (22 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 154709.72 to the nearest one hundred.\nAnswer: 154700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668195, -668213, -668231, -668249?\nAnswer: -668267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y - y - 2*y + y)*(-38*y**3 + 11*y**3 + 0*y**3).\nAnswer: 297*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -400914 from -0.346.\nAnswer: 400913.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 + 2. Suppose 0*j + j = 5. Let y(i) = i**2 - 5*i + 1. Let h be y(j). Sort c, 0, h.\nAnswer: 0, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 4926702.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 2892\/24 + 6\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose 32 = 2*d + 120. Let q be 2 + (3 - (-212)\/d). Which is the biggest value? (a) q (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1346 - 1345.5. Which is the smallest value? (a) -2\/7 (b) -3 (c) -4\/5 (d) n (e) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2 and 2\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.2. Let i = -10471\/4 - -52347\/20. Which is the closest to 2? (a) m (b) i (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7204 divided by 3?\nAnswer: 7204\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 3. Let c be n(4). Suppose j = -4*s - c, 5*j + 5 = 4*s - 7*s. Are 0 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.9 and -20440.\nAnswer: -202356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(-3 + sqrt(11)) + sqrt(11) + sqrt(539) + -1.\nAnswer: 2*sqrt(11) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 12. Suppose -v + 4*n = 11, 15 + 21 = 4*v + i*n. Suppose -45 = -5*g - 2*k - 3*k, 3*g + 2*k = 22. Solve -v*u = -0*p + p + 8, -u + g = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -654957 by -1193.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3586, 3580, 3574, 3568, 3562?\n\"Answer: -6*y + 3592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 4, l: 1}. Give prob of sequence ooo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 3*z - 4*z)*(-1 + 6 - 1)*(7*z - 6*z + 3*z) + (3 - 3*z - 3)*(2*z - 5*z + z) in the form d + c*z + q*z**2 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, 37, 121, 247, 421, 649, 937?\n\"Answer: t**3 + 12*t**2 + 5*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -5*a - 2*c - 34, 3*c + 63 - 12 = -16*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7)\/(h*h**(1\/16)*h))\/(h*h**(-1\/5)*h*h*h)**(17\/3))**(-46) assuming h is positive.\nAnswer: h**(917263\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*j = -j - 32, k + j - 18 = 0. Let h = 96 - 29. Suppose h + 53 = 4*p. Calculate the greatest common divisor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 - 4)*(-4*d**2 + 5*d**2 - 4*d**2)*(-2 + 2 - 3*d).\nAnswer: -99*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1902*t**4 + 11288554*t - 11288554*t + (0*t**3 + t**3 - 2*t**3)*(4*t - 3*t + 0*t) + 2*t**4 - 5*t**4 + 5*t**4 + 2 - 2 - 2*t**4 + 3*t**3 + 2*t**4 - 3*t**3.\nAnswer: -1901*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33664909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/((3\/60)\/((-4)\/(-48)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -16. Let t = -26 + a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3876\/13 - 298. Let s = 59282\/13 + -4560. Let l = 79 - 78.6. Which is the closest to s? (a) j (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 497211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtnt when four letters picked without replacement from {d: 1, t: 3, n: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 7*s - 1. Suppose -268 = -3*w + 3*d + 218, d - 2 = 0. Let o = -171 + w. Let g(u) = 5*u**2 - 6*u - 1. Calculate o*g(a) + 6*q(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*m**3 + 2\/17*m**4 - 56\/17*m - 32\/17 - 24\/17*m**2 = 0. What is m?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134, 2194, 3254, 4314?\nAnswer: 5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(4000\/192)*5\/(-32).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 0.2, -2, 0.85 in descending order.\nAnswer: 0.85, 0.8, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*f - 3*w, -7*f + 3*f = -2*w + 14. Is (-10)\/8*(f - 26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, d: 2, n: 1, g: 1}. What is prob of picking 1 d, 1 g, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/((-1040)\/(-2))*2*3\/12.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3328 - -3328. Sort -13, -2\/5, 2\/3, -3\/7, g in decreasing order.\nAnswer: 2\/3, g, -2\/5, -3\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10370*z - 27861*z = -2326303 for z.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464678 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 47 - 6*w + 2*w + 3*w. What is the units digit of y(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f**2 - f - 1. Let o be b(-3). Solve 2*u + 18 = 2*d + o*d, 0 = d - 2*u - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 1 + 0*m - 2)*(5*m**3 + 2*m**2 - 2*m**2).\nAnswer: -25*m**4 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 36. Let a be b(-22). Let s = -30 - -38. Let w be (2 + a\/(-3))\/(s\/(-24)). Solve -u = -w*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113.6457963 + 123.34579. Let p = -9.7756 - -0.0756. Let r = b + p. Round r to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-28)*(96\/6)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/(-11) + 2\/11. List the prime factors of 2\/(-6) + 76\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 7*i**2 + 7*i - 5. Let u be b(6). Suppose q - 6 = -4*r + u, r + 4*q = 13. Calculate the least common multiple of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 12 = 18*h - 14*h, 3*h = 2*m - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 116?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 16*m - 33. Let s be j(17). Let o be 7\/s - 1\/(-2). Which is the second biggest value? (a) -1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200761 (base 9) in base 6?\nAnswer: -21534001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 91*z - 724. Determine p(-82).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14473?\nAnswer: 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -18 - ((-18 - -19) + 10 + -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 5*s + 2. Let w(y) = -1. Let x(l) = -g(l) - 3*w(l). Suppose 4*r - 3*r = 0. Let u(m) = 8*m**2 - m - 9*m**2 + r*m. What is 9*u(t) - 2*x(t)?\nAnswer: t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 712052384 to the nearest integer?\nAnswer: 26684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 + 100. Let l be ((-150)\/n + 4)*-3. Solve -h + l = -2*m - 2*m, 3*m = -12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a**(-5)\/a*a)\/a)\/a*a*a*a\/(a\/(a\/(a**(1\/2)*a))))**32\/((a**0)**(2\/135))**35 assuming a is positive.\nAnswer: a**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 77 = -34*f - 36*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/sqrt(11))\/sqrt(9) + (sqrt(3) - (4 + -5 + sqrt(3))))*-2.\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k + 1. Let o be p(-2). Let v = -8 - -18. Suppose -3*n = -5*d + v, 3*d - 4*n + 2*n - 6 = 0. Sort d, o, -5.\nAnswer: -5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 i when three letters picked without replacement from {l: 1, i: 1, q: 4, t: 2, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-164 - 132\/(-11))\/(2\/(-134)).\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 17 = -4*g + 32*r, -30 = 5*g + 4*r. Sort -90, -3, g in descending order.\nAnswer: g, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8348\/297 + -310\/11. Calculate the common denominator of l and (-1310)\/12*2\/(-30).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101443.\nAnswer: 61, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-6)*(-180)\/(-126))\/((-9)\/(-6))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = k + 4, -3*l = 2*k - 23. Suppose 0 = -l*c + 573 + 277. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.5. Let n = -0.8 + 3.8. Let l = -2 + 2.5. Which is the nearest to g? (a) n (b) -4\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -5, -41, -123, -269, -497?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 8*c + 12. Let d be v(7). Let b(l) = -l**3 - 13*l**2 - 4*l + 10. Let z(k) = -k**3 - 4*k**2 - k - 1. Let r(h) = -b(h) + 2*z(h). What is r(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -901\/5. Let i = 6 + -7. Which is the third smallest value? (a) 4 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 157*h**2 + h - 5. Let j be m(2). Suppose 0 = -5*u + j + 1845. Suppose 1490 = 6*d + u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 39. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*u + 3, 1 = 3*v - 2*v + 5*u. Suppose 293 = v*j - 457. Suppose 9*l - 4*l - j = 0. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -397 (b) -37 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9808 = 2*s, -8*r = -3*r - 3*s - 12249. Suppose 9*h - r = 1869. What is the highest common factor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, c: 4}. What is prob of picking 2 k and 2 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*j. Let k = j + 0. Let z(a) = -3*a. Let v be z(k). Let r(q) = q**2 + 6*q + 3. Calculate r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s + 1. Let r(b) = -3*b**2 + 5*b - 6. Let c(w) = -2*f(w) - r(w). Suppose 6 - 26 = -4*l. Suppose 0 - 25 = -l*k. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 26*j. Let s(g) be the third derivative of 7*g**6\/360 - g**4\/24 + 26*g**3 - 33*g**2 - g. Let q(w) be the second derivative of s(w). Calculate q(d(l)).\nAnswer: 364*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -37951 > -1556050\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 2*m + 1. Let a be c(-1). Suppose b + b = d - 1, b + 13 = 3*d. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068805 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2822)\/102 + 29 - (-15494392)\/6. What is c rounded to the nearest 10000?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 7 - 6 - 1. Let i(d) = -10*d**2. What is q(i(n))?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8430 + -8294. Calculate the remainder when n is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1065, -2134, -3205, -4278, -5353, -6430, -7509?\nAnswer: -8590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/12 + 14*m. Let a = 10 + -6. Let o(v) = -a*v + 0 + 0 + 2*v. Give d(o(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9758 = -191*x + 491*x + 1058 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:10 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*n - 451, 0 = 4*p + 263*n - 262*n - 431. Calculate the remainder when 386 is divided by p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*m - 79 - 3510 = 2963 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = 37*o + 60*o + 2265 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 23. Sort -2, u, 0.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354438533?\nAnswer: 3, 7, 29, 2224037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(-2*c**3 + c**3 + 2*c**3) - 2*c**3 + 2*c**3 - 3*c**3 + 3*c**2 - 2*c**3 - 3*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2 - i + 1. Let r(l) = 7*l**2 + 2*l - 1. Let w(x) = 6*k(x) + 5*r(x). Let p = -26 + 23. Let n(o) = -2*o**2 + 3*o + 1. Calculate p*w(s) + 4*n(s).\nAnswer: -5*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 - 7*h + 2 - 2 + 7 + 4. Let w be u(-8). What is the second derivative of -11*v**3 + 0*v**3 - 14*v + 0*v**w wrt v?\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3398524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/5 + 17*a**3\/5 - 9*a**2 + 43*a\/5 - 14\/5.\nAnswer: -(a - 14)*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/3 - -2 - (-8)\/(-12). Sort -0.1, d, -0.2 in ascending order.\nAnswer: d, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + o + 5*o**2 - 25627 + 24640 + (0*o**2 - o**2 + 3*o**2)*(4 - 4 - 1) in the form z*o**2 + m + c*o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1066752 + 1066752 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(-6*sqrt(13)*-2 + sqrt(1300) + 0))**2 - 2*(-5*(-1 + sqrt(637)) + sqrt(637) + -2*(sqrt(637) + 0)**2).\nAnswer: -32*sqrt(13) + 27707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/9))**(-2\/109)\/(a*a*a**31*a*a\/(a\/(a\/(a\/a**(1\/8))))))**21 assuming a is positive.\nAnswer: a**(-1875139\/2616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 3*c**2 - 5*c - 2. Let j(a) be the third derivative of -a**6\/60 + a**5\/30 - a**4\/6 - a**3\/3 + 458*a**2 + 1. What is 5*j(l) - 4*o(l)?\nAnswer: 2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose -t*s = 2*s. Find the first derivative of s + 0 + 3 + 2*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*z - 7 + 4 + 445*z + 302*z.\nAnswer: 239*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 + 3*k + 1. Let t be a(-3). Let n = t - 5. Suppose 4*q = n + 11. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000919 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00410114189 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 0*k + 0*k + (-2 + 2 - 3)*(0*k + k + k))*(-2 + 2*k**2 + 2 + (-5 - 10 - 2)*(-3*k + 3*k + k**2)) to n*k + o*k**3 + m*k**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14918 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268 a factor of 163198687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -266974 and 215.\nAnswer: -57399410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*p = -64, 3*p + 20 = 2*x + 6*p. Calculate the highest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*2*(-4)\/8. Let g = -2600 + 39016\/15. Which is greater: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 112?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - m - 2. Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457975699 to the power of 1\/2, to the nearest integer?\nAnswer: 73878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456579 - 37048 = -5747*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/(-1855))\/(8\/(-60))*(-14)\/60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*k = -12 + 9, 5*i + k = 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58557 - 26681. What are the prime factors of n?\nAnswer: 2, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1442 + -1455.31. Let n = -2.01 - k. Round n to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.384668401 and -982.34.\nAnswer: -981.955331599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-14))\/(((-165)\/5)\/(-660))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708\/18 - (-3)\/(-9) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 47836.\nAnswer: 143508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 55. Suppose 2*g + z = 25, 3*g + z - 38 = -0*g. What is the first derivative of -8*j**2 + g*j**b - 6 - 4*j**2 wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (3 + sqrt(11)*-2 + -2)**2.\nAnswer: -4*sqrt(11) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8) - (-10)\/6. Let u = -7\/30 - y. What is the second biggest value in 0, u, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328048642 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1360 + 1365.208. Let f = k - 5. Round f to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 49*q**3 - 6*q**3 - 6*q**3.\nAnswer: -61*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21258, 21560, 21860, 22158?\nAnswer: 22454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 + -350. Let i be 3\/(-5)*(-15)\/3. Solve 4*t = -u - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/3 + t**2 + 4*t. Let c = -316 + 313. Determine p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:12 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z - 42. Let i = -10 - z. Solve 4*y - 36 = 2*v + 3*v, -i*y - 4*v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 20320413?\nAnswer: 20320341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 69*i**2 - 406*i + 5505. Calculate s(64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**5 + 0*i**6 + 0 - 1\/14*i**7 + 0*i**4 + 1\/2*i**3 + i + 0*i**2. What is the second derivative of h(y) wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.17*3\nAnswer: -60.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 329*x - 695 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/9, 2\/9, 42.09?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -5, 1\/5, -32\/17, 0.036?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141591882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10, -10*d + 11*d - 2*r = 0. Let m(a) = -23*a**3 + 11*a**2 + 42. Let o(j) = -8*j**3 + 4*j**2 + 14. Determine d*m(f) - 11*o(f).\nAnswer: -4*f**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37\/2 - 19. Let a be 26\/30 + (-3)\/15. Put -2, a, c in ascending order.\nAnswer: -2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 37*k**2 - 74*k - 143. What is the remainder when 23762 is divided by g(39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 19*r = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -7*o**6\/90 + 4*o**5\/15 + o**4\/12 - 8*o**3\/9 + 2*o**2\/3 - o. Solve a(d) = 0 for d.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 7248.\nAnswer: 50736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) - (sqrt(1764) + sqrt(1764)*-2 + sqrt(1764)))\/((sqrt(14) + 1*sqrt(14))\/sqrt(2)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.88 + -3.4. Let v = 0.22 + p. Which is bigger: v or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24396655.262704 and -5.\nAnswer: -24396660.262704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/90 - 11*g**5\/30 - 5*g**4\/3 + 115*g**3\/6 + g**2 + 56*g. Let r(p) be the first derivative of w(p). Factor r(i).\nAnswer: -4*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(-4) + (-2)\/8. Let h = -13 - x. Let o be (2 - -1)*-1 + 1. Sort 4, o, h in descending order.\nAnswer: 4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*y, 0 = -2*y - 0*n + 5*n - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 16*y**2 - 16*y + 4. Let z be s(15). Let g be 7*1 - (z - -15). Let k be (3 + g*-2)*-1. Solve 2*f = f - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605?\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1034*o**2*t*y - 358*o**2*y - 29*o*y + 2228*t*y + 55*y - 1 wrt t.\nAnswer: -1034*o**2*y + 2228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/25443 and -131\/33462.\nAnswer: 8599734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p. Let s(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 + 3. Let k(f) = -2*d(f) + 2*s(f). Find the second derivative of k(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2. Suppose -4*r - 3 = -7. Let w(h) = 2*h**2. Let a(i) = -i**2. Let l(y) = r*w(y) + a(y). Determine g(l(k)).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.3. Let b = 2.8 + -0.2. Let c = -3 + b. Put x, c, 5 in decreasing order.\nAnswer: 5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-6)\/(-15) + 7\/(-5)). Solve 5*d = -c*h - h - 5, 0 = 4*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-3)\/m))\/m**0*((m\/(m*m**(-8)))\/m)\/m*m*(m\/m**(-2))\/m*(((m\/(m**(-3\/4)\/m))\/m)**(1\/45))**(-12) assuming m is positive.\nAnswer: m**(203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3 in descending order.\nAnswer: 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156283.\nAnswer: 131, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -437*h**7\/30 - 139*h**3\/2 + 1198*h**2 + 2*h. What is the derivative of n(j) wrt j?\nAnswer: -12236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0\/(-9) - (0 + -1). Let x(q) = 316*q - 12. What is the hundreds digit of x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2, 0, 0.1, -5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210897561 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12319 + -12324. Which is the nearest to 0.2? (a) 0.3 (b) -1\/5 (c) l (d) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 8:39 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -10\/6709, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 0*n + 0*n. Let c be m(1). Calculate the remainder when -14*c\/(-6)*-3 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccyyyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 2, q: 2, i: 1, u: 4, z: 1}. What is prob of picking 2 b and 1 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -94637040 divided by 3943210?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 43*i**2 - 46*i + 85. Determine k(44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 18*i - 23*i. Suppose i*m - 865 + 805 = 0. Solve 2*v + m - 22 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 9. Let h = -10 - -13. Let r(a) = -9*a + 9. Let i(n) = h*w(n) + 2*r(n). Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 209041085 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*g + 180*a**2 - 3*a*g - 8071*g**2 + g - 234 wrt g.\nAnswer: 2*a**2 - 3*a - 16142*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68 from 0.6.\nAnswer: -67.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 267, -4, 13 in ascending order.\nAnswer: -93, -4, 13, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*w + 1491 = 279. Solve -2*c + 0*c - 4*f + w = 0, -22 = 2*c - 3*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162625367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*g, -j + 0*g = 4*g - 3. Suppose q - 3*q = -24. Let c = q + j. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5 - 81*s**4 + 789*s**3 - 3423*s**2 + 6408*s - 3696 = 0.\nAnswer: 1, 4, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + 4.5. Let y = c + -5.8. Let w = -101.5 + 102. What is the smallest value in -5, 3, y, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.072 - 30.072. Let g = z - -29. Let s = -3 + 3. Is s greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2954 + -1816. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1485675 and 59\/15975.\nAnswer: 1485675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2 = -2*o. Let b(g) = -36*g + 1. Is b(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.3 (c) 1\/7 (d) 2820 (e) -1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + 133. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1592 divided by -1.\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11712\/(-53680))\/(8\/100*-5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a5 + a38?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -109, -169, -227, -283?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 453\/604*((-2)\/18 - -1). Find r, given that -1\/3*r**5 + 0*r**3 - 2\/3*r**2 + x*r**4 + 1\/3*r + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 - 16 = 0. Let x = -43 - -49. Calculate the least common multiple of u and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3660 (base 10) to base 14\nAnswer: -1496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30744968 - -344\nAnswer: -30744624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96248 + -61831. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v)*(-4 + 4 + 2*v**3) - 2*v**4 + v**4 + 2*v**4 + (v - 2*v**3 - v)*(-2*v - 2*v + 3*v).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2 - 6*v + 9. Let m(d) = -3*d**2 - 3*d + 4. What is -5*m(g) + 2*z(g)?\nAnswer: 5*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.3. Let r be (-255)\/2*(784\/12)\/7. Let h be (-5)\/(-4) - r\/(-408). Which is the third smallest value? (a) h (b) v (c) 1\/10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7452 at most as big as -7451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -157, -314, -523, -778?\n\"Answer: k**3 - 35*k**2 - k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*21\/98)\/(9*-4)*3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12659.37 - 12603. Let j = u + -58. What is j rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816 divided by 102.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 + t**2 + 2*t. Let y(u) = -7*u - 13. Give -39*m(c) - 6*y(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from kkkjkkjkkjj?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 37*i - 36*i = -2, 0 = -q + i - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(19\/5)\/(n**6*n*n)*n**(-1\/9)\/n**(2\/75) assuming n is positive.\nAnswer: n**(-976\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -6*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3762 - 3898 = 1722*l + 8831 + 729 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 divided by -3585?\nAnswer: -463\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-42)\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*x = 388*x - 75 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90677, -362833, -816431, -1451471, -2267953, -3265877, -4445243?\n\"Answer: -90721*q**2 + 7*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 + (2 - 1)). Let m(q) = -q**3 - 4*q - 2*q**2 - 4 + 0*q**3 + o*q. Calculate the least common multiple of 9 and m(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.52 * 381.\nAnswer: -17343.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*c**2*l**3 - c**2 + 23846*c + 251*l**3 with respect to l.\nAnswer: -456*c**2*l**2 + 753*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 - 4. Let h = 24 - 23. Let z(w) = w**2 + 1. What is h*u(p) + 4*z(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50950946.\nAnswer: 2, 41, 621353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**4*y**(-11\/2) assuming y is positive.\nAnswer: 1\/sqrt(y)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -816 + 1219. What is the greatest common divisor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 38. Differentiate -7*d**4 + 3 - 7 + 0 + h*d**4 with respect to d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5758800471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.43 and 362.8991.\nAnswer: 361.4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887225 divided by -5.\nAnswer: -177445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -136835 * 0.4\nAnswer: -54734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278746517 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1681*b**6\/60 + 1187*b**3\/3 - 469*b**2. Differentiate x(z) with respect to z.\nAnswer: 10086*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 6. Let a be (2 - 2) + 4 + -3. Let c(g) = 1. Give a*o(q) - 5*c(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -508*a**3 + a**2 - 6*a - 7. Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -4, -2\/7, -231.\nAnswer: -231, -4, -1, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 31871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1208, 2392, 3576, 4760, 5944, 7128?\nAnswer: 8312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/506052 and -77\/16.\nAnswer: 2024208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-291704)\/(-21) - (238\/(-42))\/17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 641 - 2306 + 1159 - 6*i**2 to o*i**2 + g*i + r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2 + 4 - 27*r - r**2 + 3 + 30*r. Determine m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 3*l - 3. Calculate the remainder when 42 is divided by v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 867*t**3 - 6*t**2 + 6*t. Let d(q) = -2603*q**3 + 17*q**2 - 17*q. What is 17*b(g) + 6*d(g)?\nAnswer: -879*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4994.369 micrograms to nanograms.\nAnswer: 4994369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -2, 25\/13 in increasing order.\nAnswer: -2, 1\/12, 25\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121.2911 - 0.0911. Round o to 0 decimal places.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 2*t + 3. Let r(p) = p**2 - 14*p + 11. What is 2*l(a) + r(a)?\nAnswer: 3*a**2 - 10*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2 - 3 - 1)*(-121 + 112*x + 121)*(0*x**2 + 0*x**2 - x**3).\nAnswer: -112*x**5 + 224*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 508 + -522. What is the second smallest value in 0.1, 0.5, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 34519 = -2*s + 100963, w - 5*s - 33246 = 0. Is (w\/148)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22101 + 131331131?\nAnswer: 131303030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9800857 and 252806?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*l + 528 - 1740, 2*d - 2412 = 2*l. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.57 and -11892.486?\nAnswer: 11886.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*d - 63 + 315, -5*d = t + 236. Let b = d + 94. Suppose 4*r = -3*h + 179, -2*h = -2*r - b - 64. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**2\/2 - 25*d - 5. Let r be f(-11). What is the highest common divisor of r and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 8)*20\/175 - (-3392)\/(-448). Sort 7, 0, 2, m, 5 in increasing order.\nAnswer: m, 0, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.3 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.99 + 0.01. Which is greater: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*y = -22, 33*c = 36*c - 26*y - 89 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000359 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 11) in base 15?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8)*16\/4. Let c be (-14)\/8 + u\/(-12). Is 20\/1*c\/(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let g(y) = -1. Let n(m) = -g(m) - 4*w(m). Let z(o) = -o - 1. Let u(j) = 18*j + 827. Let x be u(-46). Calculate x*n(i) + 2*z(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*10)\/(428\/(-1070)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 5*g + 24. Suppose -j = 1, 0 = -4*k - 3*j + 25 - g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 2013*d**3 + 2011*d**3 + 5*d - d + (-4*d**2 + 2*d**2 + 3*d**2)*(14 + 5*d - 14) in the form g*d + k*d**3 + y*d**2 + w and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:41 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.97 + 11.968004. Let g = q - -0.002. What is g rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = l + 2*l. Let o = 0 + l. Let h = o - -21. Solve y + 3*y - 20 = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*2)*(-186)\/(-2325)*100\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -2342 - -14123\/6. What is the common denominator of (-6)\/(-21) - 316\/448 and a?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 1333*y + 1334*y - 7, 4*y = 3*n - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5562 - 5617 - (-9 + -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1310728 = 1310728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46325*x*z**3 + 4709*z**3 - z**2 - 4 wrt x?\nAnswer: 46325*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11119 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 1 + (sqrt(125) - (2*sqrt(125) + -2)))**2.\nAnswer: -60*sqrt(5) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -102. Let l(j) = 4*j**2 + 3*j + 5. Let h be l(-4). Let w = h - m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d - 36 + 36)*(0 - 2 + 1).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3412740 and 28980?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5830, 21529, 47694, 84325, 131422, 188985, 257014?\nAnswer: 335509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.66381cm in kilometers?\nAnswer: 0.0004766381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 10) in base 8?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/12*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 127, 119, 113, 109, 107, 107?\n\"Answer: k**2 - 11*k + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5 - -11) + (4 - -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i = -473 + 1463. Sort -1, -3, 2, i in decreasing order.\nAnswer: 2, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3634, -7280, -10918, -14542, -18146, -21724, -25270, -28778?\nAnswer: -32242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in 1\/2, -0.05, -345999?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - 7\/((-343)\/308). Suppose -g*l = -114 - 1074. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-25)*(f**(-2\/7)*f)**14 assuming f is positive.\nAnswer: f**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3804 to 1 decimal place.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 + -305. What is the closest to -9 in 3, w, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(6\/(-2))*72\/(-2916)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6733741 millilitres in litres?\nAnswer: 0.0006733741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0947 minus -0.73?\nAnswer: 0.6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038166 to five decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*w - 245 = -213*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2621363*r**4 + 21*r**3 - 369652567*r**2.\nAnswer: -62912712*r + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0 + 6. Suppose 0*j + 2*j + 13 = i, 4*i - n*j = 37. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/12 + (-2)\/4. Suppose -f + r = 3. Suppose f*d + y - 29 = 42, -4*d + 3*y = -73. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*q - 5*q = -26, 4*x - 3*q = -25. What is the common denominator of 2 - ((-2772)\/8)\/x and 143\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2.6 = -118328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(20)\/(sqrt(40)*-1))**2 + 3*(6*(sqrt(288) + 0 + sqrt(288)))**2).\nAnswer: -248827\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 17. Let o be r(-13). What is the biggest value in 1\/6, -0.1, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.061 - 2.761. Let g = -3 - q. Which is the second biggest value? (a) 3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1242*x**3 - 1123*x**4 - 1 - 3 + 2252*x**4 - 1128*x**4 + 2 to q + k*x**3 + n*x + z*x**4 + v*x**2 and give k.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 154759671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(9))\/sqrt(6) + sqrt(2))**2 - ((sqrt(2) + 4)*-1 - sqrt(2)).\nAnswer: 2*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2. Let m(j) = -6682*j. Give d(m(k)).\nAnswer: 267894744*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 944 and 49600?\nAnswer: 2926400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9.9, 43955 in increasing order.\nAnswer: -9.9, 2, 43955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17002914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q**2 - q + (-2*q - q + 2*q)*(q - 4*q + 2*q) + 2*q**2 - 1 + 1 - 2 + 2*q**2 + 2)*((-2*q + 4*q + 0*q)*(-3 + 0 + 1) + 4 - 4 - q).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*a + 101 = -163, -5*p - 5*a + 690 = 0. What is the remainder when p is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315 + -309. Solve 3*v = -3 + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-14))\/(13\/(-91)). Let c(k) = -7*k - 62. Let p be c(i). Solve -2*u - 2*n = -3*u + p, -u = -4*n - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1141*n**2 + 1098 + 27*n + 24*n + 372*n**2 - 50*n wrt n.\nAnswer: -1538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8 - 599*d**2 + 1802*d**2 - d - 4*d**3 - 595*d**2 - 599*d**2. Suppose 2*i + 3 + 15 = 0. Let b(o) = -o**3 + 2*o**2 - 2. Give i*b(u) + 2*l(u).\nAnswer: u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451755017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88 and 0.8.\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -97934 <= -97934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:21 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -77*p**5\/10 + 156*p**2 - 267*p. What is the derivative of n(a) wrt a?\nAnswer: -462*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -86, -155, -224?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -88*w**2 - 34*w + 9770. Let r(z) = -31*z**2 - 12*z + 3257. What is -6*l(y) + 17*r(y)?\nAnswer: y**2 - 3251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166694 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*k - 4. Which is the closest to -5? (a) -2 (b) k (c) -0.3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/24 and -23\/4928?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2 + 1\/8*c**2 + 0*c + 1\/4*c**3 + 1\/8*c**4. Factor z(i).\nAnswer: i*(i + 1)*(2*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 134*q**2 - 95)*(3 + 0 - 2 + 0 - 1 + 3 - 5 + 2 + 1 + (-1 - 2 + 1)*(2 + 4 - 4) - 3 + 1 + 1).\nAnswer: -536*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 262?\nAnswer: -37\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u + 2 - 2*u + 10*u - 112*u.\nAnswer: -52*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.65 - 6.65. Which is the nearest to 9? (a) 0.3 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163007ns in microseconds?\nAnswer: 0.000163007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l + 59*l = 82*l + 5156554. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 2*m**2 + 3*m - 3. Let a be b(-3). What are the prime factors of (-2 - 1)\/a + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let c = a + -1. Let l(n) = -n + 1 + 0 + c*n. Calculate l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let c be -3 + 0\/(-1) + 9. Suppose -4 + c = -2*b. What is the nearest to b in 1\/6, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 19052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x - 36 = 0. Let q = x - -11. Let p be ((-6)\/4 + 1)\/(18\/(-180)). Solve q*g = g - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 1\/3, 0.2, -3.8, 4\/5, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49599770 rounded to the nearest ten thousand?\nAnswer: 49600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 15 = b, -5507*d + 7*b - 263 = -5443*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 9. Give m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d - 22*d + 53*d. Let n(i) = 2*i**2. Determine n(m(z)).\nAnswer: 242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 517 + -3?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73, 141, 207, 271, 333, 393?\n\"Answer: -s**2 + 71*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) 2 (d) 0 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*z - 14, -24 = -5*v - 5*z + 16. Suppose 5*q - 6*s = -2*s + 23, -3*q = 5*s - 36. Sort -5, q, v in increasing order.\nAnswer: -5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 116 - 160 = -7*d + 2*d + 200, 0 = 2*d - 0 - 4 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61024 = -409*s - 5065*s - 272890 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 15 + (15 - 26) + -75 + (10 - 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (7 - 13) + 4 + 4 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6742.\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 103*y**2 - 5*y + 6. Let g(k) = -103*k**2 + 6*k - 7. Give -5*g(o) - 6*s(o).\nAnswer: -103*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -310.25.\nAnswer: -930.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*h - 10, 0*h = 4*c - 2*h - 2. Let m be 6 - 4 - 2\/c. Solve 0 = 3*a - m*r - 15 - 5, a - 5*r - 14 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(1\/2*38\/(-171)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137, 480, 1041, 1814, 2793?\n\"Answer: -b**3 + 115*b**2 + 5*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 41. Let c be s(12). Let a(m) = 26*m - 6. Let b be a(6). Let h = c + b. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1132.98051\nAnswer: -1132.98051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 - 2 = 0. Let v = i + 6. Solve 0 = -5*z - 8 - 2, v*r - 4*z = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*10 - (-567)\/108\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 4*q + 4. Let x be t(3). Let z be 30\/(-12)*(-88)\/x. Let l = z + -12. Solve -4*n + 2*y - l = 0, -n + 32 = -6*n - 4*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z. Suppose 4*g - 2 - 2 = 0. Let b be h(g). Suppose 4*p + 3*o = 12 - 5, -3 = b*p + o. Sort 3, p, 4.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178975020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 222.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 + 10 = 0. Let d be v\/(2 + -1) + 1. Suppose 0 = h + c - 5, -h + 2*c + c - 3 = 0. Solve -d*l + h*w + 16 = -0*l, 5*w + 20 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - 14. Let x be 390\/156*16\/20. Solve -m + 3*u + 17 = -x*m, -5 = 5*m - l*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68051 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/5 + 1298*u**4\/5 + 3912*u**3\/5 = 0 for u.\nAnswer: -3, 0, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(2\/(-20)). Let f(c) = 5*c + 70. Let y be f(-13). Is y at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.342 and 13.191?\nAnswer: -4.511322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*z - 159 = 0, -4*v = 4*z - 5*z - 141. Suppose 2*h + 28 = 3*o + 6*h, -5*h + 39 = 4*o. What is the lowest common multiple of o and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230674534 to the power of 1\/2, to the nearest integer?\nAnswer: 15188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337 - 329.74. Let q = j + -0.26. What is the third biggest value in -0.1, q, -3\/5?\nAnswer: -3\/5","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, -2\/13, 4\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*(2 + (-70)\/(-4)). Let s(n) = n**3 + 13*n**2 + 2*n + 1. Let c be s(d). Let h = c + 168. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -29?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + (328 - 320).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:52 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3063, 2334, 7731?\n\"Answer: 5397*z - 8460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-224)\/104 - 2\/(-13)). Suppose -x*w - 3*d = -5*w - 240, 478 = -2*w + 4*d. Round w to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1654 (base 15) to base 11.\nAnswer: -3678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2 - 78908*u + 1103928 = 0.\nAnswer: 14, 19713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252613306 - 0?\nAnswer: 252613306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 3 (c) 3\/35 (d) -32594\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-4) + (-1970)\/(-20) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23948352 and 16.\nAnswer: -383173632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - (-5)\/10. Let t = p - -5. Suppose 0 = -3*m + t*m - 147. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (156\/(-30))\/(4\/(-10)). Suppose -15*m + 66 = -p*m. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26\/5 of a second?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343525 divided by -68705?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**4 + 27586*r**3 - 137279 wrt r?\nAnswer: -8*r**3 + 82758*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.483 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39178818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 5. Let h be j(-2). Let i be (-12)\/(-8) - h\/10. What is the third derivative of -i*l**2 - 10*l**2 - 24 + 24 + 12*l**3 wrt l?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + 3*y)*((3*y**2 - 3*y**2 + y**3)*(1 + 0 - 3) + 5*y**3 + y**3 - 5*y**3 + 2*y**3 - 42*y**2 + 0*y**3 + 43*y**2).\nAnswer: 4*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -5.1. What is the closest to -0.1 in 4, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + (sqrt(441) - sqrt(441)*-1))\/(sqrt(12)\/(sqrt(12)\/sqrt(3)))*-2)**2 + (sqrt(297) - 1*-1*sqrt(297))\/(sqrt(99)\/(sqrt(9)*-1)).\nAnswer: -6*sqrt(3) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100001 + -10001001101?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 1. Let c = -1 - -3. Suppose 0 = 2*k + 2*r, 0 = -2*k + 7*k + c*r. Let o(i) = -2 - 5*i + 8*i + i + k. What is 3*l(w) - 2*o(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -24. Calculate the common denominator of 1*h + (-1358)\/294 and 103\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:34 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let l be (0 + 0)\/((-4)\/n). Let v = 7 + -3. Solve l*t = -4*t + v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218075556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 449, 419, 359, 269, 149, -1, -181?\n\"Answer: -15*n**2 + 15*n + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*p + 11, p + 5*r + 0 = -1. Suppose -y = -4*j + 12, -p*j = 2*y - y - 20. What is the first derivative of -q**4 - 13 + 2 + 13*q**y wrt q?\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t + 111*t - 158*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11462124 (base 7) in base 15?\nAnswer: -153439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 193\/6?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rocr. Give prob of picking 1 r, 1 o, and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*k = 200, 487 + 489 = -5*x + 4*k. Let d = -176 - x. Solve p - 5*p = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/5 - 96*p**3 + 40128*p**2\/5 - 1293824*p\/5 + 10535424\/5 = 0. What is p?\nAnswer: 12, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (0 - 20) + 40.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 4*r + 22 = 0, -3*r - 27 = 2*i - 0*i - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-195))\/(2\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1819*i**3 + 26*i**2 - 5460*i**3 + 2*i + 1819*i**3 + 1831*i**3 + 1 in the form w*i**3 + k + p*i + f*i**2 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 45, 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 13*q + 7. Let k be z(9). Suppose k = 3*r - r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11*h - h - 7 - 1.\nAnswer: 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 9*j**2 - 13*j - 9. What is the units digit of r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let j be z(-6). Let u be ((-3)\/2)\/((-19)\/38). Let k be (-5)\/u*((-36)\/30 + 0). Solve -j*q - 36 = 4*n, n = -0*q + k*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869567*x + 986 - 5576 = 869482*x for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.015 - -0.073. Let w = k + -0.096. What is w rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 11 = 2*a, 6*a - 20 = 2*g + a. Let x = 19 + g. Sort x, -1, 0.04 in decreasing order.\nAnswer: x, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.7001204 + 0.06?\nAnswer: 127.7601204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (140\/(-40))\/((3\/50)\/(-3))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 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 s = -30 - -30. Let i = -2 - s. Which is the second smallest value? (a) 3\/13 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10446 is divided by 1740.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -23, -44?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -u - 7*f, 0 = 5*u + 4*f - 2. Suppose u*j - 138 = 302. Suppose 0 = -4*b - a - 64 + j, 3*b = -a + 117. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = -3*h, 4*h = 3*h. Let n = 0.05 + -5.05. What is the second biggest value in -2, n, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -114?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 13*i**2 + 19. What is b(14)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44855 - -6749654.\nAnswer: 6794509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 2*m - 26. Suppose 132 = -12*h + m. Let w(j) = -3*j**2 + 8*j + 4. Let f(d) = -7*d**2 + 16*d + 8. Let u(c) = -2*f(c) + 5*w(c). Calculate u(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77466442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = s. Let j = -4 + s. Let h = 10 + j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -1211?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 33. Let i(n) = n**3 + n**2 + 27. Calculate the remainder when i(0) is divided by o(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let i be (-1227)\/(-18) + 3\/(-9). Let u = i + -68. Which is the second biggest value? (a) u (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 890 = -i. Let r = -3120\/7 - i. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 109*n**2 - 1487*n + 41. Is z(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 less than -34712188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -24 (b) -14 (c) 1\/155 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.2, -100?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*63\/(-112)*(-8)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:23 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178\/10843 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (-3*sqrt(7)*-2 - sqrt(7)) - (sqrt(7) + -1*sqrt(343) + (sqrt(700) - ((sqrt(700) + 3 + sqrt(700) - sqrt(700) - sqrt(700)) + sqrt(700)))**2).\nAnswer: -1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 14*a**2 + a. Let r be n(-6). Let w = r - -631. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 2565059499469\nAnswer: -2565059499469.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*a = 508*a - 13. Let f(v) = -v**2 - 2*v - 4. Determine f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2. Let d(m) = -92*m. What is d(b(o))?\nAnswer: -276*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 55*l. Let n(s) = -2420*s**2 + 1056*s - 352. Let z(v) = -41*v**2 + 18*v - 6. Let x(a) = 3*n(a) - 176*z(a). Determine g(x(h)).\nAnswer: -2420*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24847, -24837, -24835, -24847, -24879, -24937, -25027, -25155?\nAnswer: -25327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 753253751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 228. Let r be (p\/(-4))\/(34\/136). What is the highest common divisor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:56 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -40 - -3150 - 4\/2?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14424, -14367, -14306, -14241, -14172?\n\"Answer: 2*r**2 + 51*r - 14477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 103. Suppose -a - 4*t - 5 = 0, -7*a + 4*a + 17 = -4*t. Solve -3*z = -6*z - 4*p + 3, p + a = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497168.5 millennia to decades.\nAnswer: 49716850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 2*w + 2*o, -4*w - 3*o = 2*o - 393. Let c = w - 99. Let x = -1 - -0.5. What is the closest to 1\/2 in 0.3, c, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/8 + 0 + -1 + 7. Which is the nearest to -0.1? (a) 0.4 (b) -9 (c) y (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1\/9, 1434?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 e when three letters picked without replacement from {k: 10, n: 3, j: 4, e: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 87.8. Let v = x + 8. Let a = 0.1 + -0.1. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2.14. Let u = h - 3.16. What is the closest to 0 in u, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (240\/96)\/((-3)\/((-12)\/5)). What is b in -1\/5*b**3 + 1\/5*b + 0 + 0*b**j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179438161?\nAnswer: 7, 73, 351151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgdc when four letters picked without replacement from zdxgpzzccxzdzgxzdz?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*h*j**3*z - 98*b*h*j**2*z**3 - 14*b*j**3 + 2*h*j**3*z**3 - h*j**2 + 2*h*j*z wrt j?\nAnswer: 24*b*h*z - 84*b + 12*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 12. Let d be 5 + -6 - (x - 4). Solve -d*k - 15 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45182 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118 - -2) + (13 - -6) + (23 - 8) + -39.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b + 3*v + 402, -5*b + 649 = 2*v. Let g = -151 - -63. Let s = g - -115. Calculate the remainder when b is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/9 + 31*i**4\/9 + 16*i**3\/3 - 137*i**2 - 179*i. Let r(u) be the first derivative of h(u). Suppose r(f) = 0. What is f?\nAnswer: -12, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20615 and 1330.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1153 divide 4304800818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -138*q**5 + 34*q**5 + 26*q**5 + 0*q**5 - 4*q**5 + 0*q**5 + (2*q**2 - 5*q**2 + q**2)*(4*q**2 + 3*q**3 - 4*q**2).\nAnswer: -88*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 3*n + 6. Let m(x) = 2*x**3 + x**2 + 7*x + 12. Give -2*m(k) + 5*y(k).\nAnswer: k**3 - 2*k**2 + k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 3*m, 2*m = 5*m + 6. What are the prime factors of 41 - 0 - (h + 1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*k**3 + 5*b**2*k + 11*b + 2*k**3 wrt b?\nAnswer: -8*k**3 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 817540.2 millennia in centuries?\nAnswer: 8175402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*r - 92 = 4*p - 515*r, 0 = 5*p + 8*r + 124 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*j - 26 = -j, 2*j = 4*p - 12. Let o = -3 - -7. Suppose 3*g = -v - o, -10 = 2*g - 5*v + 4. Sort p, g, -1 in ascending order.\nAnswer: g, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700823*156.\nAnswer: -109328388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -3*c, -4*y - 6*c - 2 = -c. What is the third biggest value in y, -0.919, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-30))\/(2\/(-90)). Let w be 22\/99 - (-1166)\/r. Let p = w + -36. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1145 and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 + 5 - 0) + 0 - 0) + (-650 - -651)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -84390.\nAnswer: -928290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:48 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let r(s) be the third derivative of s**5\/15 + s**4\/12 - 67*s**2. Give r(x(t)).\nAnswer: 4*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-6)*(54\/(-28))\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8478826 is divided by 2826274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149171*3.3.\nAnswer: 492264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 3*f**2 + 5*f**2 + 2*f**2 + 1 - 2*f**3 to the form u*f + n*f**3 + p*f**2 + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -304.011869 and -1.36?\nAnswer: 302.651869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - -4. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -10) + 4*13. Let a = f - 26. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -9*g**3\/4 + 89322*g**2 - 59547*g = 0.\nAnswer: 0, 2\/3, 39698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*196\/21. Let j be 11\/((-308)\/(-8)) - 52\/p. Let q(t) = -5*t + 1. Let z be q(-7). What is the greatest common factor of z and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044*m**2 - 190*m**2 + 242*m**2.\nAnswer: 1096*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 363*u + 3004. Give p(-8).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - 1 - r)*(18*r**3 - 10*r + 10*r).\nAnswer: -18*r**4 - 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1223.\nAnswer: -6\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:47 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28595 (base 10) to base 5\nAnswer: -1403340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*k = -561*k + 738 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*b + 641 = 13*b + 89 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000102638 rounded to 7 decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.351808 years in millennia?\nAnswer: 0.001351808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m + 0*m)*(3*m - 9*m - 3*m)*(m - m - m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + (31 - 36) - -19) + 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(7\/2))\/c)**(4\/9) assuming c is positive.\nAnswer: c**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(4\/7)*n)))\/n*n**(2\/7))**(-33) assuming n is positive.\nAnswer: n**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5980 divided by -460.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 3*d**7\/14 + 3*d**3 + 12*d. What is the second derivative of o(w) wrt w?\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6951423062 plus 12.54?\nAnswer: 6.8448576938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.025484 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 + 1 + -2. Let m be 1 - (w + -1 + 0). Let v = 3 + m. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**2 - 1. Let f be p(1). Let z(a) = 1 - 4*a + 6*a + a**2 - 5*a. Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 2*a, -24 = 2*a - 5*l - 4. Put -1, 66, -3, a in descending order.\nAnswer: 66, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 11\/35 (c) -169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195\/(-1678)*((-6)\/40)\/(2\/(-48))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) - (-69540)\/23200 - 3. Let l = c + 497\/12760. Find the common denominator of l and 79\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6154 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(4\/(-12)) - (-6)\/2. Suppose 5 = -4*b + 1, p = 3*u + 5*b - 166. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -15*m - 18. Let w(x) = 7*x + 8. Let o(t) = 9*w(t) + 4*z(t). Let b(l) = 12*l**2. Calculate o(b(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4023)\/243 - (-44)\/(-99)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 600*o + 18553. Determine f(-31).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawawaaawaww. What is prob of sequence aw?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-123)\/(-656))\/((-1)\/14*3)*14?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f - 132 = 0. Let o(g) = -20*g**3 + 722*g**2 - 76*g + 148. Let w be o(36). Put -1, -4, w, f in descending order.\nAnswer: w, -1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixxx when four letters picked without replacement from xixixkxiixxskxix?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcwjwcjjzcgcjdcc. What is prob of picking 1 c, 1 d, 1 z, and 1 j?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -1, -0.3, 3\/8, 53252\/5?\nAnswer: 53252\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376*n**2 - 775*n wrt n?\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -5, -3\/29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -80, 27, -90?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6)*(-2 + 3). Let p(w) = 3 - 3*w - 2*w**2 + 1 + 6*w - w**3. Determine p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*o + 35. Let h = o + 25. What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 11 + 4. Let q = z - -6. Let b = q - -5. What is the greatest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637217 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57882187953 and 499.\nAnswer: 57882188452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16815, -33617, -50403, -67167, -83903, -100605, -117267, -133883?\n\"Answer: m**3 + 2*m**2 - 16815*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 436 - 208. Solve -4*o - v = -61*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.59 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9232 > -9231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**2 - 7720*u - 280. Let n(t) = t**2 + 858*t + 32. Let g(w) = -4*b(w) - 35*n(w). Factor g(j).\nAnswer: 5*j*(j + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 13. Let l(p) = -14*p + 2. Let k(t) = t. What is j*l(f) + 12*k(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - n = 0. Solve t + 0 - 2 = n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**2\/2 - 1042. Let b(i) = -i + 2. What is -b(a) - 4*g(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r - 3*d, 8 = -3*r + 13*d - 18*d. Let g(c) = 5*c**2 - 4. Let o(y) be the first derivative of -y + 1. Determine r*o(f) - g(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t**4\/4 - t**3 + 51*t + 3. Let f(z) = -z**2. Give i(f(v)).\nAnswer: 15*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368 - 370. What is the closest to -0.1 in -0.5, 6, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-2*6*1)\/(-3*sqrt(1210)*-1).\nAnswer: -4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-3)\/90*(21 + (-1632)\/80). Suppose 4*z - 12 + 0 = r, -2*z = 3*r - 20. Suppose 0*s = 5*s - 5*f, r*s - 8 = -4*f. Is s greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 46 greater than or equal to 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8036\/3920)\/(2\/16). Let r = -0.7 - -1. Which is the fourth smallest value? (a) w (b) r (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2427, -4822, -7209, -9582, -11935, -14262, -16557?\n\"Answer: a**3 - 2*a**2 - 2396*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -31*t**8\/56 - t**6\/10 - 13*t**5\/10 - t**4\/2 - 5*t**3\/6 - 23*t**2 + 10421*t. What is the third derivative of g(i) wrt i?\nAnswer: -3720*i**3 - 72*i - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 96, 207, 362, 561?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378231039078 - -1?\nAnswer: 378231039079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83811*s + 83811*s + 9153*s**2)*(2*s - 4*s - 1 + 0).\nAnswer: -18306*s**3 - 9153*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34697951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*i - 35, 2*h - 3*i = -3*h + 77. Let f = h - 16. Suppose f*q + 579 = 5*q + y, 246 = 2*q + 4*y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/7 + 6*k**2\/7 - 20*k\/7 = 0. What is k?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -26, -23, -18, -11, -2, 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5*u - 56925945*c**4*u + 73*c**2*u - 43*c**2 - 8255*c*u + 1 wrt c?\nAnswer: -120*c**2*u - 1366222680*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1311\/7 + 187. Let f = 9 + -6. Let l = 0 - f. What is the nearest to -2 in w, l, -2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 691630664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405872 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f*f*(f*f**0)\/f*(f*f**0)\/(f*f\/(f**(-1\/4)\/f)) assuming f is positive.\nAnswer: f**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 560958635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63659, 254727, 573173, 1018997, 1592199?\n\"Answer: 63689*f**2 + f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -32*v + 465. Let a(n) = -48*n + 708. Let b(x) = 15*a(x) - 23*f(x). What is b(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 - h + 15. Let a(t) = 6*t**2 - 15. Let g(c) = -6*a(c) - 5*p(c). Let s be g(7). What is the biggest value in s, -1\/5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 - 5*j - 2. Let u be m(4). Let y be u*((-28)\/10 - 4). Let p = -20 - y. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-240)*4\/3*23)\/1.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (430\/(-387))\/((-8)\/(-216)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 110.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (22 - 135) + -111 + 93?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(2\/21))**(-15)\/(((f*f**(-3)*f)\/f*f*f*f**(-5\/4))\/(f**1)**40) assuming f is positive.\nAnswer: f**(1075\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011110 (base 3) to base 5.\nAnswer: 1414110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z + 29. Give u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + 1524. Suppose 0 = 5*c, -5*p - 46 = 4*c - f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7695297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 3*j + j**3 + 0*j**2 + 3*j to the form n*j**3 + k + s*j**2 + f*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from yyyyyvyyyfvyvyf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i. Let z(t) = -2*t**2 + 8*t. Give d(z(h)).\nAnswer: 28*h**2 - 112*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 116.02. Let p = 0.12 - t. Let k = -1 - p. Which is the nearest to k? (a) 0 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (7 + 66 + 16 + 2 - 23).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(0*d**2 + 0*d**2 + 2*d**3) + 1871*d**3 + 867*d**3 + 2488*d**3 to the form v*d**2 + m*d**3 + o + s*d and give m.\nAnswer: 5222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 166325427*h**4 + 1248781370 wrt h?\nAnswer: 665301708*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 15. Suppose 0 = -v + 3*v - 12. Calculate the remainder when o\/v*(-80)\/6 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 n when four letters picked without replacement from llnlnnllllnjynnllnl?\nAnswer: 315\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 8}. Give prob of sequence ggh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*o**2 - 3*o - 11 + 38*o**3 - 37*o**3 + 3*o + 177*o**2 to the form s*o**3 + m + i*o**2 + d*o and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = -5*h + 5, 5*h - 35 = -2*b. Suppose -k + 4*n + 8 = -2, b*k - 3*n - 33 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from yiiyiiyyiy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlreleeesu. What is prob of sequence eel?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.4 + -1.7. What is n rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/3 - 3. Which is the smallest value? (a) 4\/7 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4185163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4716917.\nAnswer: 131, 36007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 1, i: 4, p: 1, q: 6}. What is prob of sequence qv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*w + 676, -2*a - a = -4*w + 916. Let o = -118 + w. Suppose -28*s = -26*s - o. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24543356 + -1?\nAnswer: 24543355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2. Let g = -62 + 65. Let t(o) = -o - 8*o - g*o. Calculate t(p(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z - 4*u, -2*z - u = -2*u - 6. Solve 3*g + t = -z, -4*g + 2*t - 5*t = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -33, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100925601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 64642*q - 516926. Give a(8).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3\/2 - 4317*w**2 + 72268080*w + 281883307200 = 0. Calculate w.\nAnswer: -5080, 7282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**0*x)\/x)**(-37))**(4\/25)\/((x\/(x\/((x\/(x**(-2\/5)\/x*x)*x*x)\/x)*x))**(3\/4)*x**(-3\/2)\/(x**(-2\/15)\/x)) assuming x is positive.\nAnswer: x**(-1981\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 4*t + 2, 4*a + t = 6. Suppose -3*q = -0*q - 39. Suppose -3*g + 4*z = -q, a*g + 2*z + 2 = 34. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, 1 o, and 1 j when four letters picked without replacement from {d: 6, w: 1, y: 2, j: 4, o: 4}.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -16.97, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 12*v + 40. What is the nearest to -4 in 3\/2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, -0.4, 0.06, 7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509\/3 - 168. Let l(b) be the first derivative of -b**3\/3 - 3*b**2 + 18*b + 7. Let r be l(-8). What is the nearest to -1 in 0.3, k, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2329374 divided by 3342?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q - 177 + q**2 - 50*q + 27*q + (2*q - 3*q + 3*q)*(0 + 0 - q) to the form k*q + t*q**2 + i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2815931, 2815941, 2815961, 2815997, 2816055, 2816141, 2816261?\nAnswer: 2816421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 572\/9, 0.056, 1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60443 is divided by 123.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:37 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 35732780689.\nAnswer: 35732780688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2892, 6382, 9872?\n\"Answer: 3490*x - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6698 divided by 17?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.711\nAnswer: -0.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010298403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:58 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -1\/3, -14, 3524, 6, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -47543 + 46551 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -9*a + 5, 0 = -v + 34715*a - 34711*a - 30 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 5*j + 1811 - 1811 + j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/2 - 8*c**4 - 99*c**3\/2 - 146*c**2 - 200*c - 96.\nAnswer: -(c + 1)*(c + 3)*(c + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 8. Let j be t(9). Let h = j - -31. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Suppose -u*m - 7 = -4*n, 2*m + 2*n + 2*n - 14 = 0. Is m <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 4, 1, -102, 7, -15 in descending order.\nAnswer: 7, 4, 3, 1, -2, -15, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1122220001201 (base 3) to base 12\nAnswer: 36740a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 4*a**3\/3 + 7*a**2 + 15*a + 43. Is t(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 4 + 22. Sort -8, -2, u in decreasing order.\nAnswer: u, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291397?\nAnswer: 3, 73, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7102575*g**3*s**3 + g**3 + 8701*s**3 - 4*s + 1 wrt g?\nAnswer: -21307725*g**2*s**3 + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3940, 3945, 3954, 3967, 3984, 4005?\n\"Answer: 2*a**2 - a + 3939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3222?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34330.92cm in kilometers?\nAnswer: 0.3433092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 - 19*d**2 - 27*d**2 - 20*d**2 - 29*d**2 - 11*d**2 + 120*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 17.19?\nAnswer: 34.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 103*p**2 - 5*p**3 - 103*p**2. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-116) + (-984)\/(-29). Suppose -c = 7*q + 64. Which is smaller: q or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9324 is divided by 145.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - r. Let m be g(0). Solve -5*l - 25 = k - m*l, 3*l + 32 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w**5\/19 - 187756*w**4\/19 - 2753476*w**3\/19 - 1409008*w**2\/19 + 3219978*w\/19 + 1130220\/19 = 0.\nAnswer: -14, -9\/7, -1\/3, 1, 4485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -19, 1912 in ascending order.\nAnswer: -19, 7, 1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 449575*0.5\nAnswer: 224787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:28 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/(f*f**4))**(-10\/3)\/(f**(12\/7)*f\/f**(-2)*f\/(((f**4\/f)\/f)\/f)*f) assuming f is positive.\nAnswer: f**(550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 9.254399mg in micrograms?\nAnswer: 9254.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-3 - (-6 - (-13 + 7 + 1)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76559 divided by -10937\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2848 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 3654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4696 and -1406?\nAnswer: 6602576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, 4, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2235 - 2232. Solve w = -29*v - 55 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-4)\/(-12) - -1)\/(4\/47160)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*l - 1. Let y = 15 + l. Let v be y - (2 - 272\/44). What is the closest to 1 in 4, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 8. Let c be d(12). Let w be 10*((-39)\/15 - (1 + c)). Find the second derivative of -83*m**2 + 39*m**2 + w*m - 24*m + 38*m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619 + 96*a**3 - 94 + 514 - 49*a**3 + a - 49*a**3.\nAnswer: -2*a**3 + a + 1039","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 83 (c) 0.2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 4*c - c)*(-144*c + 149*c - 12*c**2 + 7 - 29*c)*(0*c - 2*c + 4*c) to a*c**4 + v*c**2 + t + h*c + j*c**3 and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose 0*y - 3 = j*y. What is the tens digit of 19\/(0 - y)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3521670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1422074 (base 9) to base 7\nAnswer: 6435466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 6) + (-4 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14651740 is divided by 46366.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 1. Let k(s) = 2*s**2 + 11*s + 8. Let a(m) = k(m) + 6*q(m). Let t be a(-6). Suppose -5*y = -t + 14. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311, 1309, 1307?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 3*v**2 - 1 + v**2 + 4*v - v**5 + (2 + 1 - 2)*(-40 + 40 + 32*v**5).\nAnswer: 31*v**5 - 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169936622 to the nearest integer?\nAnswer: 13036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281.0000188 + -281. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -259.5\nAnswer: -441.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, 4, -10, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4. Suppose 3*i = v*i. Let p(w) = w + 4. Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l + 377*l = 116*l - 1991 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(4\/9))))\/((s*s\/s**(7\/6))\/s))\/(s**5\/(s*s\/s**(-5))) assuming s is positive.\nAnswer: s**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 100 = 49*v. Let x(q) = -17*q**v - q + 18*q**2 - q. Determine x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-214)\/(-10))\/((-77)\/(-8855)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - -5?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 4\/5)*30*38\/(-456) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*(-16)\/(-8). Suppose -2*z - 1 = -v. Sort 4, z, -3.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1620 and 173701260.\nAnswer: 173701260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*i - 1257*i + 126 + 112 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55288215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - g - 42 + 0*g to the form c + l*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 16 = -854. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 5*s**8\/336 - s**7\/14 - 5*s**6\/24 + 5*s**5\/4 + 5*s**4\/6 - 10*s**3 + 4*s**2 - 20*s. Let w(f) = 0. Calculate f.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + -5 - (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*u - 3 = 0, 0 = -17*h + 13*h + 5*u + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + 2))*6*3 + (sqrt(637)*1 + 4 - 2*sqrt(637)*1)**2 + 1.\nAnswer: -56*sqrt(13) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13958 divided by -1043.\nAnswer: 1994\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*y + 5. Let p = y - 15. Let c(a) = -4*a. Let s(i) = -i**2 - 11*i. Let r(b) = p*c(b) + 3*s(b). Find the second derivative of r(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192) + 1 + sqrt(192))**2 + sqrt(192) + -4 + (sqrt(3) - (sqrt(3) + (sqrt(24)*1)\/sqrt(8)))**2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 3, 4, -1897, -0.3, 2\/1107?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.32 - -2.3357. Round o to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144141444 (base 6) to base 7.\nAnswer: -34331260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:23 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -116 + 76 + 30 - 2*y + y. Give f(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 - 10)*(10373*h - 10373*h + 543*h**2) to the form z*h**2 + w + m*h and give z.\nAnswer: -5430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643655 to the power of 1\/2, to the nearest integer?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4484497*t*v**3 + 3041243*t*v**2 wrt v?\nAnswer: -26906982*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006859789 to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 8*t - 4*t**2 + 7*t + t to the form v*t**2 + i + s*t and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4767 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -5036?\nAnswer: -5037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*o - 12 = 0, -2*o - 16 + 8 = 4*n. Solve 3*h = -j + 14, -9*h + 4*h + 3*j + 14 = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from 15946.\nAnswer: 15945.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 20869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10*(-3)\/6 - 0) + 2. Let o(r) = -4*r**3 - 9*r**2 + 1. Let g(d) = -2*d**3 - 4*d**2. Give w*o(p) + 7*g(p).\nAnswer: -2*p**3 - p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -117 (b) 2\/7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87588142.\nAnswer: 2, 43794071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.341050396 to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 919 + -919. Suppose 5*c + h - 1368 + 198 = d, c = 3*h + 250. What is the greatest common factor of 282 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 200 = 8*h. Suppose w + h = -4*w. Let n = w + 14. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 plus 11?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 4:27 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6965 = 3*h - 3490. Let a(i) = 11*i - h*i**2 - 8 + 2*i + 515*i**2 - 2*i. Let q be a(8). Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 212\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**2 + 8*l**2 + 2*l**4 - l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.1 (b) -0.3 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 - -22?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -210, -339, -466, -591, -714, -835?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 - 9*v - 4. Let m(x) = 5*x**3 + 8*x + 3. Let n(a) = -3*h(a) - 4*m(a). What is the second derivative of n(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - 2. Suppose 17*b = -21 - 13. Let z(f) = 5 + 8*f**3 - 14*f**3 + 5*f**3 + 5*f**2. Determine b*z(x) - 5*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o*o*o\/(o**(2\/3)*o)*(o**0)**(10\/7))\/((o*o**(-2\/5))**(-12)\/((o*o*o**(-6\/5))\/((o\/(o\/o**(-2\/3)))\/o))) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - 20\/15. Is 7 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145665 is divided by 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -360 (base 8) to base 15\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -0*h. Suppose -2*z + h - 1 = 0. Let c = 5 + -2. What is the remainder when c is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 29.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 + 11*t + 9. Calculate the remainder when 49 is divided by k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 137 (b) -0.06 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 24. Let l be j(-11). Suppose -15*h = -19*h + l. Suppose -343 = -4*m - h*w, 2*w - 5*w + 77 = m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (121 - (-28 - -12 - -31))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Suppose 0 = 3*n - 4*y - 59, -n - 5*y = -y + a. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*k - 20 - 9, -5*j = -5*k - 40. Solve r + 10 + 0 = 5*s, -25 = -2*r - j*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 81 + -78 - (-1 - -12)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10712.92 centuries?\nAnswer: 1071292","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 5635130 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 173, 199, 221, 239, 253, 263?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14994 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 498646 (base 10) to base 14\nAnswer: cda18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 - 148*q**2 + 4*q - 20. Let a(l) = -l**3 - l**2 - l + 4. Give 10*a(y) + 2*r(y).\nAnswer: 2*y**3 - 306*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 3 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -40. Let q = 0.18 - -83.82. Let n = q - 80. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(4\/(-12) - 0). Let y = s - -21. Let q(k) = -28*k - 1. Calculate the remainder when q(-2) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1923, -3818, -5683, -7518, -9323, -11098?\n\"Answer: 15*a**2 - 1940*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 521 and 140149?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -d7e?\nAnswer: -d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339142.\nAnswer: 2, 37, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*2)\/sqrt(3) + -2 + sqrt(7) + (sqrt(112) + 0)**2.\nAnswer: 21*sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50721\/783 + -65 - (-148)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 + 1235*k**3 - 126894*k**2 - 43260*k + 84872 = 0. What is k?\nAnswer: -1, 2\/3, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*l**2 - 2*g - 121277*l**3 + 306673*l wrt l?\nAnswer: -4*g - 727662*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - (2 + 3\/(-3)). Let n = 1 - v. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + c + 3 = -74, -2*t - 35 = -c. Let q = t + 28. Suppose 4*u - 16 = -2*l - 2*l, l - 13 = -4*u. Solve q = z + u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*r + 144, r + 2*f - 80 = 4*r. Does 3 divide r\/(-3) - 24\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 1\/2, -4, -1, -3\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 36*b**4 + 284*b - 618. Differentiate m(k) with respect to k.\nAnswer: 432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -8, -1, 8, 19, 32?\n\"Answer: i**2 + 2*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*d - 46234, -n - 11*d + 6612 = -10*d. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + -3) - (-41 - -73 - 40)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 218*x + 878. What is the tens digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 4. Let u be y(-4). What is the third derivative of -1 + 1 + k**5 - u*k**2 + 3*k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 21. Let t be 9\/(45\/c) - -50. Suppose -4*v = 44 - t. Solve -2*u = -u + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 17. Let h(w) = -2*w - 11. Let y(k) = 8*h(k) + 5*n(k). Let q be y(-5). Let c = 10 + -10. Solve -a + 14 = -5*b - 7, c = q*b - 3*a - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 6*l - l - 27)*(-l - l + l).\nAnswer: -l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5004639 by -2.\nAnswer: -5004639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v. Let u(g) = -g**3 + g**2 + 3*g + 11. Let i(q) = -2*l(q) + u(q). List the prime factors of i(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/4 greater than -1958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*g**3\/2 - 26*g**2 + 19*g\/2 - 1.\nAnswer: (g - 1)*(5*g - 1)*(7*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -0.5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/122, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1573)*-2)*6*4 - (-2 + sqrt(1573)*1 - sqrt(1573))**2*-4*-2) + 4.\nAnswer: -528*sqrt(13) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (-49 - (-504)\/(-36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28598 - -28613. Solve 0 = 5*i - 2*p + 4 - 3, -5*i - 5*p - s = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86668*h**3 - 86666*h**3 - 122930 - 54682.\nAnswer: 2*h**3 - 177612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -217511?\nAnswer: -217514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73195*a*q**2 - 10*a*q + 3*a + 2*q**2 + 265 wrt q.\nAnswer: 146390*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3172891*y**2. Let i(o) = 25*o. Give x(i(h)).\nAnswer: -1983056875*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233264 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3100255*s**4*x - 2*s**2*x + 7497521*s*x - 10*x + 1 wrt s?\nAnswer: -37203060*s**2*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/5 - 7*p**3\/5 + 3234*p**2\/5 - 8712*p = 0. Calculate p.\nAnswer: -66, 0, 15, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 3*a)*(1 - 2 - 4)*(-1 - 3 + 3)*(-76 + 32 - 281).\nAnswer: 1625*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 1 - 4*h**2 + 22 in the form a + p*h + i*h**2 and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -367098 (base 10) in base 5?\nAnswer: -43221343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {n: 1, p: 3, y: 2, j: 5, x: 8}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/35*784\/(-364)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 7*x + 10. Let h(c) = 11*c**2 + 20*c + 29. Let y(u) = 3*h(u) - 8*t(u). What is the units digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:52 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -850139.\nAnswer: -76512.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 127241*q**2 + 16190272081*q\/2.\nAnswer: q*(q + 127241)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/167 or -23710?\nAnswer: 12\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 347000964?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.4 (c) -84 (d) 4\/3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1169 - 21007\/18. Calculate the common denominator of 285\/(-24) + 0 - 28\/(-7) and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810*x - 673417 = 787*x. Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - (3 + -12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g**2 + 13*g + 14. Calculate s(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 469*v**2 + 5*v - 418*v**2.\nAnswer: -887*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -12.74 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21760 and 20995.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3*j + 1\/3*j**3 + 5\/2*j**2 + 0. What is the derivative of h(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226 - 18*p + 6*p**4 - 223 + 448 to the form n*p**2 + v*p**3 + t*p + z + g*p**4 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4255823146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21374779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjiiirjiijiirj. Give prob of sequence rji.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1807.04 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**3\/6 - o. Let p be 2\/(2 - 10)*(-2 - -6). What is r(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1313.1 or -23?\nAnswer: 1313.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28951 or 28967?\nAnswer: 28967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + -9. Let r be 3\/5 + (-282)\/o. Suppose -d = -3*d + r. Solve -d*y = -3*x - x + 16, -4 = -x - y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 390 = -68*c - 26*c, -3*c + 5 = -4*c for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6257805743 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7*(-28)\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 830, 835, 844, 857?\n\"Answer: 2*b**2 - b + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -10.3, 8, -2831?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g. Suppose -2*s + 8 = -g*s. Let t(p) = 2*p**2 - 5*p - 2. What is the remainder when 19 is divided by t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*h**3\/6 + 3043*h**2\/12 - 8263*h\/4 + 495\/2 = 0. Calculate h.\nAnswer: 9\/74, 11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8805413, -8805396, -8805379, -8805362, -8805345?\n\"Answer: 17*b - 8805430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 894182 take away -31.26?\nAnswer: 894213.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = v - 2*h, 4*v - 3*v - h = 17. Let i(z) = -z**3 + 7*z + 12. Let q be i(-4). What is the highest common divisor of q and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10564 - -10564. Let a(p) be the first derivative of -27\/5*p**5 + 0*p**3 + g*p**2 + 0*p**4 - 15*p + 13. Differentiate a(h) wrt h.\nAnswer: -108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 16. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 960 (base 11) to base 13\nAnswer: 6ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 33*f - 48. Let n be h(-14). Suppose -26*w = n - 10. What is the nearest to -0.1 in 0, 3\/4, -1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s. Let z(r) be the third derivative of s*r**4 - r**2 + 0 + 0*r**3 - 1\/60*r**5 + 1\/120*r**6 + 0*r. Find the third derivative of z(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16886460 divided by 5\nAnswer: -3377292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 5. Suppose -5*z - 18 = -3. What is the third biggest value in z, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 632 and 83582.\nAnswer: 334328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/9640 (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -64*s + 9 - 4\/3*s**3 + 16*s**2. Suppose w(l) = 0. Calculate l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018 - 809 = 225*q + 423 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - 58. Let x be 45\/(-2)*(-5)\/q. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-220)*-3*141\/(16497\/(-195)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 + 1. Let c be l(1). Let p(x) = x**3 + 8*x**2 - 8*x + 14. Let w be p(-9). Let j be (49\/w)\/(1\/5) + c. Are 49 and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -181. Which is the closest to k? (a) 4 (b) -2\/9 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 12*r - 12. Let u be m(13). Let d = u - -27. Calculate the highest common divisor of 16 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.53 (b) -76 (c) -4 (d) -1\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:23 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979638 (base 10) in base 5?\nAnswer: -1001322023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(210\/(-12))*(15 + -10). Let v(a) = a**2 + 4*a + 3. Let j be (-2)\/(-10) + (-32)\/10. Let w be v(j). Solve -z*s + w*s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562559787.\nAnswer: 181, 8632927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, 6, -3\/5, 2\/6851, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.168, -2.1, 2\/5, 0.5, 4?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*d**2 + 106*d wrt d.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31882 is divided by 213?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 20. Let r be -3 + (-1)\/(4\/z). Let p = 60 - 55. Solve -5*a + 4*c - 35 = 0, r = a - p*a + 2*c - 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -557669, 1, 5, 4 in ascending order.\nAnswer: -557669, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -225, -507, -901, -1407?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 10, p: 2}. What is prob of picking 2 v and 2 j?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, 160, 566, 1136, 1870?\n\"Answer: 82*u**2 - 4*u - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 112, 159, 206, 253?\n\"Answer: 47*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 12*h**3 - 24*h**3 + 25 + 28*h**3 - 48.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315077537 to the nearest integer?\nAnswer: 17750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 + -204. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:56 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 540, 792, 1034, 1266?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-79152)\/(-72). Suppose 47*z - b = 54*z. Let h = 101 - z. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12586\/1755 - -10\/351. Factor -3\/5*g**4 - 24\/5*g - 18\/5*g**3 + 0 - c*g**2.\nAnswer: -3*g*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876519.784 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 41*r**4\/4 + 8*r**2 + 201*r. Differentiate k(g) wrt g.\nAnswer: 246*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7139207 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159065 - 1159077 + 2318131 - 2*w.\nAnswer: -2*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2103 + -14717\/7. Solve -4\/7 + 4\/7*h**2 + p*h**3 - 4\/7*h = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 817 + p - 817.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0 - 0) + 2 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q + 55158 = 3*z - 54*q, 5*z + q - 91960 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00838 greater than 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let i(s) = s. Suppose -3*t + 9 = -3*x, 0*x = 4*t + 5*x + 33. Suppose 2*w + 20 = 4*k, 5*w + k + 3 + 3 = 0. What is t*i(j) + w*m(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from ooeoloellol.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.7322 grams in nanograms?\nAnswer: 848732200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/5)\/(2\/5). Suppose -x = -4*n + p, n - 4*n + 22 = 4*x. Suppose -3*h + 0*h = -2*o - 10, 0 = x*h + 4*o. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -20057998.145?\nAnswer: 20057999.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20222 = 5914*s + 67534 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - z. Let c(x) = 1093*x**2 - 558*x**2 - 551*x**2. Calculate c(a(t)).\nAnswer: -144*t**4 + 96*t**3 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89677038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n + 2. Let o be r(-2). Let z be -4 + 1 + o + 3. Let y = 23 + z. Calculate the smallest common multiple of y and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09190455603 rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + (1 - 4) + 3. Suppose -2*k = 3*m - x, 3*k - 2*m - 1 = 2*m. What is the closest to 0 in 1, -1\/8, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 5\/2 (c) 0.43 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 391, 4, 5 in descending order.\nAnswer: 391, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - 122*j + 119*j + 12*j**3 + (4*j + 3 - 3)*(2*j**2 + 3*j**2 - 2*j**2) + 0*j**3 + 3*j**3 - j**3.\nAnswer: 23*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(51)\/(sqrt(135)\/sqrt(5)) + -4.\nAnswer: -4 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 17, -1, -5, 236383, 2 in descending order.\nAnswer: 236383, 17, 2, 0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3727.4253 + 3137.386. Let g = 590 + w. What is g rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:11 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25052425 (base 6) in base 5?\nAnswer: -201101400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 31, 30, 31, 34, 39?\n\"Answer: v**2 - 6*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.37 and 19991481128.\nAnswer: 19991481127.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 0, -5*y = 2*x + 97 - 484. Suppose 3*v - 55 = y. Suppose 3*w - 7*w = -v. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) -0.5 (c) -1\/10 (d) -3 (e) -2\/7 (f) 10797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -646.865 and 0.08.\nAnswer: -51.7492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -29. Suppose z*p - 3*p = 177. Suppose p + 118 = -3*v. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231315\/8 - 28867. Which is bigger: 46 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 18 = -3*t, 0*t - 2 = t + f. Let l(a) = -a. Let w(q) = 5. Let i(y) = t*w(y) + 2*l(y). Give i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33080.\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11441\/35 + 1605\/7. Let b = -98 - s. Sort b, 1\/3, 1 in decreasing order.\nAnswer: 1, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11 + l - 4 - l**3 + 2*l**2 - 7*l**2. Let u be n(-5). Let g(a) = 8*a. Is 6 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -206092235342.2 and 0.2?\nAnswer: 206092235342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)*w\/(w\/w**(-5))*w)\/(w**(-2\/7)*w**(3\/5)) assuming w is positive.\nAnswer: w**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 90 = -2*k. What is the greatest common factor of k and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 75*p**2 + p. Let l be f(-1). Let w = l + -45. Let c = w + -19. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 213623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 155 + 101 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 248 + 248. Let j be k(-1). Suppose -l - 22 = -4*l + v, j*v = -l + 14. Calculate the remainder when 24 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124379 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 11*i - 3. What is the least common multiple of m(6) and 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2125726219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o - 123 = -167 - 212. Let z(t) = t**2 + 2*t + 1. Let m be z(-5). Calculate the highest common factor of m and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1459*s - 14 + 27 - 15 - 1199*s - 6*s + 2*s + 5*s + (1 + 1 - 1)*(5*s - 2*s - 2*s) + 4*s + 3*s - 6*s.\nAnswer: -2655*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 6\/((-9)\/((-27)\/6)). Solve 0*x + 4 = -4*o - x, 5*o - x - 4 = k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3868 + -3874. Let i(l) be the first derivative of -l**2\/2 + 4*l + 1. Let t(o) = 2*o - 5. Give n*i(f) - 4*t(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3*m**5\/160 + 35*m**4\/32 - 67*m**3\/16 + 99*m**2\/16 - 2*m - 407. Let w(k) = 0. Calculate k.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 6 = -4*c, -10 = -l - 2*c. Factor -8 + 0*t - t**2 - 4*t - t**2 + 6*t**l.\nAnswer: 4*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-243)*3)\/(16\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i + 5. Let w be v(8). Let a = -424 - -475. Let g = a - w. What is the closest to g in -0.1, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 506b5?\nAnswer: -506b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 757665463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/4 - 4797*c**3\/4 - 1038057*c**2\/2 - 30914496*c + 63914712 = 0.\nAnswer: -764, -73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(-b - b - b) - 520*b - 2727*b - 392*b)*(-2 - 1 + 5)*(-2*b**3 + 3*b**2 - 3*b**2).\nAnswer: 14544*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, h: 3, m: 5}. What is prob of picking 1 v and 3 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 5*l**2 + 0*l - l**2. Let w(g) = 0*g + 4*g - 4*g**2 + g**2. Let i be (-8)\/8*(-5)\/(-1). Calculate i*w(x) - 4*y(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 6*r**2 + 2*r**2)*(2 + 0 - 3)*(0*r - 3*r**3 + 0*r + (2*r + 2*r - 6*r)*(r**2 - 2*r**2 + 2*r**2) - 2*r**3 + 4*r**3 - r**3).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -15 in descending order.\nAnswer: 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6161137, 6161135, 6161133, 6161131, 6161129?\nAnswer: 6161127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836733774 less than 1884?\nAnswer: -3836731890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/18 - (-2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38312799 to the power of 1\/2, to the nearest integer?\nAnswer: 6190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2716 and 121\/52962.\nAnswer: 105924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 9*y**2 - 13*y - 7. Suppose -6*i - 7*i = -91. What is w(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbybtbyyyybbtbbyy. Give prob of picking 3 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*g = -98 - 15, 0 = 4*c + g - 237. Let x(n) = 252*n - 7517. Let d be x(31). Calculate the highest common factor of d and c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*d**3*p**3 - 3*d**3*p**2 - 20*d**3*p*w + 21*d**2*p**3*w - 46*d**2*p*w wrt d?\nAnswer: 90*p**3 - 18*p**2 - 120*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-13 + 7)) + 55 + 0 + -19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - s**4 - s**4 + (-2*s + 3*s - 3*s)*(0*s**2 - s**3 + 0*s**2) + (2*s**4 + 1071*s + 0*s**4 - 677*s)*(0 - 2 - 1).\nAnswer: -5*s**4 - 1182*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 8*n + 90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 1)*(1 - 8 - 35)*(20*z**4 - 110*z + 110*z).\nAnswer: 6720*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6990655\/309225 - 113\/5.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**7\/7 + 53*i**3\/6 + i - 10. What is the second derivative of q(n) wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = 4*d + 136 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*t + 4, 5*r + 2*t + 2*t = -8. Let i = r - -1. Let z = -2 + i. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*o - 2642, 6*z - 5*o - 5232 = 2*z. Let w = -91 + z. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, w: 7}. Give prob of sequence pwww.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 - 6*y**2 - y. Let i(s) = s + 1. Let o be i(5). Let x(t) = -53 - t**2 + 53. Let b(r) = o*x(r) - m(r). Find the second derivative of b(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.93 + 53. Let n = -5.07 + o. Which is the third biggest value? (a) -0.2 (b) n (c) -9 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 15, o - 2 = -3*f. Let t(m) = m + 2. Let a(y) = 2*y + 3. Let k(w) = 2*a(w) - 3*t(w). Let h(c) = -7*c - 2. What is f*h(v) - 6*k(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -205912526?\nAnswer: 205912526.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + (-105)\/14. Is (7\/w)\/((-2)\/22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 697955746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-28))\/(3\/(-4)). Let l be (701\/(-3))\/((-12824)\/24). Let m = l + -2\/229. Which is the closest to -2\/9? (a) o (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6*n - 270. Suppose 3*x - 5*r + 0 = 5, 4*r = 2*x. Let m = x - 7. Solve -2*v = 5*g - 16, -5*g + m*v + 2*v = -n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = p, 2*y + 5*p + 0 = -12. Let c = -70 - -69.5. What is the third biggest value in c, 1, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 2*n**2 - 2*n**2. Let x(r) be the third derivative of r**6\/24 - 12*r**2. Let m be (2\/4)\/(3\/30). Calculate m*x(o) - 8*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:47 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-15))\/o*o**(1\/17)\/o)**21)**(-15) assuming o is positive.\nAnswer: o**(85365\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 922070434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(1 + 2) + 8. Let l = s + 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6158 - -10383. Suppose -c = -11*v + 35166. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22118 + 22123. Let t(s) be the third derivative of 0*s - 1\/30*s**u + 0*s**4 + 0 - 31*s**2 + 0*s**3. Let p(v) = -26*v**2 - 1. What is p(t(w))?\nAnswer: -104*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*m**3 - 2*m**3 + 2 - m**4 + 2*m in the form t*m**4 + g + j*m**2 + y*m**3 + b*m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-35)*1610\/207*6\/15?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/840 and 97\/154.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -833158 and -8?\nAnswer: 6665264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 250000913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-78)*13)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2103748 (base 9) to base 10\nAnswer: -1124729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308252 = -d - 0*s + 2*s - 308255, 67 = -d + 18*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/10 - -3 - (-7)\/2. Suppose z*o = 2*o + 24. Calculate the lowest common multiple of 30 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**2 + 46*x**2 + 5*x**2 + 77*x**2 to o*x + p*x**2 + b and give p.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 20 in increasing order.\nAnswer: -7, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/12)\/(2\/6). Suppose 0 = q - 2*n + 7*n + 21, 4*n + 14 = 2*q. Let m = 14 - q. Solve 5*y = -5*w - m, 4*y + g = 3*w - 8*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 13*i + 30. Let v be h(-11). Suppose 0 = t + 2*p + 4, 3*p = -2*t + v*p + 10. Let r(u) = u**2 - u - 8. Determine r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 - (32 + 43) - 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46055718 to the power of 1\/2, to the nearest integer?\nAnswer: 6786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3.9 (b) -2\/13 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 9 - 36, -3*d + 83139*n = 83158*n + 5 + 523 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3715)\/(-9) - 1) + (-18)\/(-81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -974 + 1272. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-25))\/(-9) + (-5)\/(2 + 48).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*x = -7*x - 26, v - 3*x - 10 = 0. Let q = -3 + 2. Put v, 3, q in descending order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23132, 46265, 69398?\nAnswer: 92531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12535100.\nAnswer: 2, 5, 103, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2468, 1\/3, 108\/7, 4?\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-2*2\/(-4). Let h(c) = -88*c**3 + 9*c**2 + 2. Let w(v) = 45*v**3 - 4*v**2 - 1. Let k(l) = 6*h(l) + 13*w(l). List the prime factors of k(q).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o*t**2*y**2 - 19*o*t*y - 4*o*y**2 - 2*t**3 - 3*y wrt t?\nAnswer: 8*o*t*y**2 - 19*o*y - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 - 2)*(0 + 0 + 1)*(3*w**5 + w**5 - 3*w**5).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -8*b**2 + 1\/3*b**4 + 0*b**3 - 1 + 0*b. Give d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -43)\/(1 + 0). Let j = x + 55. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.3 + -4. Let o = 6 + -13. Sort o, n, -2 in descending order.\nAnswer: n, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1. Let u(p) = -9*p - 21. Let t(k) = -5*k - 11. Let s(n) = 11*t(n) - 6*u(n). Suppose -1 = 2*r - 3. Let g be 2\/(-6)*-5*-3. Give g*x(o) + r*s(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 8*k**2 - 7*k - 2. Let s be (-279)\/36 + 3\/4. Let l be v(s). Let q = -1 - 0. Sort q, 3\/4, l.\nAnswer: l, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140966459 + 2.3.\nAnswer: -140966456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259.13 - 254. Let p = x + -10.13. Which is the smallest value? (a) -26 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447007?\nAnswer: 11, 40637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -372*l - 69196. What is o(-186)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1509*(-11)\/11 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c**2 - 46927 - 2*c**3 + 7*c + 46927 + 50*c**2 to n*c**2 + w + t*c**3 + v*c and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 533*(-122)\/(-5002) - (50 + -3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439067.\nAnswer: 599, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*o - l + 47, 3*o + 3*l = 36 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/3))\/((s**(-6)*s*s)\/s)*(s**(-1\/3))**(-2\/15)*(((s*s**(-1))\/s)\/s)**(-26)\/(s**6\/s**(1\/4)) assuming s is positive.\nAnswer: s**(9173\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 1 - a - 13*a**3 + 4*a - 2*a. Is 6 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -131. What are the prime factors of 48\/y + 64\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + (-22 - -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*y**5 + 213547005*y**4\/4 + 2124215605*y**3\/2 + 3631719445*y**2\/4 + 37047630*y - 82811500 = 0 for y.\nAnswer: -19, -4\/7, 1\/4, 217925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 15, -3, -12, -0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*o - 4*p, -2*o + 39*p - 3 = 42*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 1 (b) 2\/13 (c) 31 (d) -0.4 (e) -3 (f) 577\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**3 - 163*s**2 - 4*s - 3. Let d(i) = 15*i**3 - 326*i**2 - 7*i - 6. Determine -4*d(j) + 7*n(j).\nAnswer: -4*j**3 + 163*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3 - -5) + 1. Let a = l + 6. Calculate the remainder when 17 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let z be 54\/14 - (-8)\/56. Let x be -1 - (1\/z)\/((-45)\/140). Is x at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 2080*t - 4180.\nAnswer: 5*(t - 418)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 140 = -2*b. Suppose 2 - b = -3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.177+2340\nAnswer: 2366.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 17*g**8\/336 + g**4\/4 - 7*g**2 + 11. Let w(y) be the second derivative of u(y). Find the second derivative of w(j) wrt j.\nAnswer: 340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 7:09 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 29*n**2 + 3*n - 52. Calculate a(15).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8949 in -4, 1\/3, 6\/269?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 4. Let m be w(-3). Let q(h) be the first derivative of 1 + m + h**3 - 2*h + 0*h. Differentiate q(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322516387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzn when three letters picked without replacement from {z: 1, g: 6, h: 1, n: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*d + 115*d = 262 + 276 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3*z**3 - 2*o**3 - 175*o*z**4 - 280*o wrt z.\nAnswer: 6*o**3*z**2 - 700*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1\/9 (c) 4115\/2761 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 75*b + 1486. Determine d(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*-2 + 2. Suppose z - 4*z + 6 = t. Let l be ((-4)\/(-7))\/(z\/7). Solve 4*n = l*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q = -5*u + 8, -2*u = -14*q + 40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.63 - -0.37. Let u = 43.3 - s. What is the closest to 3 in u, 3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 25*p**2 + 118*p + 66. Determine y(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 1\/18*s**3 + 6*s + 0 + 0*s**4 + 0*s**2 - 1\/60*s**5. Factor d(b).\nAnswer: -b*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189\/124 + -24\/31. Which is the second biggest value? (a) g (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/96271 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321, 654, 997, 1356, 1737?\n\"Answer: j**3 - j**2 + 329*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9 and 27\/15947756.\nAnswer: 143529804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128630088*h**2*j - 2*h*j - h + 1258504*j wrt h.\nAnswer: 257260176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541649.4 weeks to minutes.\nAnswer: 5459825952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -107. Let r be 1*15\/(-2)*78\/c. Solve 3 = -3*b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**4 + 15*v - 13*v**4 - 4 - 28*v + 60*v + 9*v in the form o*v + f*v**4 + c*v**3 + h + j*v**2 and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - (-188981)\/6097)*-7.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 8*o**2 + o + 8. Let d be p(-8). Let n = -2.95 - 0.05. Which is the closest to 1? (a) d (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - 6*y + 4. Let m = 4450 + -4448. Calculate c(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = g - 5*x - 0*x, g = 2*x + 30. What is the remainder when 75 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 162223513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*((2*sqrt(110))\/sqrt(5))\/(-1*sqrt(11)*4))**2.\nAnswer: -25*sqrt(2) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q**3)*(-9*q - 10*q + 5*q) + (4 - 4 - 3*q)*(-2*q + 3*q**3 + 2*q).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -s - 21. Solve -5*n - 8 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -9)*77\/(-3). Let n = l + 134. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 110 + (-17 - (-6 - 5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009044401946 rounded to 5 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 2*u + 44. Let l be z(0). Let f = -39 + l. Find the third derivative of 5*j**4 + 9*j**f - 5*j**4 + 6*j**2 + 11*j**2 wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:56 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 4. Let t be w(6). Let d(v) = -2*v**2 + 3*v. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-90)*((-7)\/(-2) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 6:16 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69312)\/14*(-217 + 210). Round i to the nearest one hundred.\nAnswer: 34700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -36*w**4 - 6*w**2 - 15*w + 15. Let s(l) = l**2 + 2*l + 2 + 0*l - 4 + 5*l**4. Let o(b) = 15*s(b) + 2*x(b). Find the third derivative of o(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1362010294 to five dps.\nAnswer: -2.1362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (-22)\/30. Let l = -6911 - -89860\/13. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -p - 121 + 31, 2*w = 5*p + 60. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.192 + 95.808. Let y = -59 + l. Let o = 32 - y. What is the third biggest value in 12, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/16)\/(6\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Let x(r) = 132306951*r. Calculate x(p(i)).\nAnswer: 264613902*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d + 16*d + 92 + 49. Let h(v) = -v**2 + 49*v + 154. Give h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5809, 23119, 51975, 92383, 144349, 207879, 282979?\n\"Answer: z**3 + 5767*z**2 + 2*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84 - 43\/3*c - 1\/3*c**2.\nAnswer: -(c + 7)*(c + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207644534, -207644532, -207644530, -207644528?\nAnswer: -207644526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 105 = -0*o. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 4, 2\/13, 0, -167\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*z - 2428 + 2184 = 4236 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (234 - 245).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -195298312*n**2*u**2 - 192070834*u**2 wrt n?\nAnswer: -390596624*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 49 = 145. Suppose -3*d - 72 = -5*d. Calculate the greatest common divisor of a and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 6.4, -4, 1, 16, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 2\/7, -25\/3, -0.5, 2.98.\nAnswer: -25\/3, -0.5, 2\/7, 2.2, 2.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 9 - 30. Calculate the smallest common multiple of s and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = 2*x. Let v(g) = -5*g - 31. Let o be v(-7). Solve o*c - x = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3441 + -1?\nAnswer: -3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 8*f + 2. Let r be s(8). Solve 12 = -r*x - 2*d, -x - 5*d - 29 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4215 - -23?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (215 - -17)*(-2)\/(-4). Suppose -7*h + 4*h + 2*i = -s, -15 = -3*i. Suppose -h = -7*t + t. Solve 2 = -m + t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.33, 4577, 0.5 in increasing order.\nAnswer: -0.33, 0, 0.5, 4577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.2 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6 + a + 2*a - 2. Let j(o) = -o - 1. Let c be ((-3)\/9)\/(-12*9\/(-648)). Suppose -2*y = 2 - 0. What is c*j(f) + y*d(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, b: 10}. Give prob of sequence sbb.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 9061?\nAnswer: 90610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8509, 17021, 25533?\n\"Answer: 8512*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = 4. Let w(i) = i**3 - 6*i**2 - 8*i + 5. Let f be w(7). Let s be (3\/f)\/((-15)\/(-4)). Which is the second biggest value? (a) s (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-33 - -12) + 32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 1590*f**2 + 6259865*f + 31338450 = 0. Calculate f.\nAnswer: -1287, -5, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30402601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*l - 180 = 183*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30911 is divided by 7721?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-4*l + 4*l - l)*(0 + 3 + 2)*(1 - 3 + 3).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05108 - 0.0510819487. What is u rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213\/247 + -12\/19. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121570 is divided by 17366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazazazaaaauaazdba. What is prob of picking 1 b and 1 a?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 62*q + 5959 = 19*q. What is the remainder when 499 is divided by q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*p*x**4 + 36*p*x**3 - 33*p*x**2 - 3*p*x + 2*x**4 + 25*x**3 + 106*x**2 + 1 wrt x?\nAnswer: -1896*p*x + 216*p + 48*x + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wkaozaakaoaakwwzrwaw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {g: 4, a: 1, v: 3, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46\/1075 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -6.78 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -1.868480021.\nAnswer: -2.068480021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 7. Let r = -75 - -156. Let n = r + -81. Let b be c(n). Put b, -3, -5, -4 in decreasing order.\nAnswer: -3, -4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 21*j**2 + 9*j - 15. What is f(-21)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*108\/135*5\/54?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrgqugiqiqrqjqiqiii. Give prob of picking 1 r and 1 q.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, -1, 3, 2 in descending order.\nAnswer: 186, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1873*h + 2031*h. Solve -5*o - 4*b + 6*b = h, -16 = 3*o + 2*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45266321?\nAnswer: 45266321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424027119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = r. Calculate the common denominator of 155\/(-65) - 12\/r and ((-48)\/(-320))\/((-9)\/(-474)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 709800.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 3, l: 1}. Give prob of picking 1 z, 1 u, and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00151976 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3 + 4*f - 5*f)*(4 - 5 - 1).\nAnswer: -2*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 117 + 27. Let k be (8\/y + 0)\/((-1)\/(-9)). Suppose 2\/7*w**k + 6\/7 - 8\/7*w = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 463\/2. What is the common denominator of q and 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 divided by -242.\nAnswer: 137\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.384 - -6.4. Let u = -0.084 - r. Which is smaller: 72 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23808546 and 6399.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.627616772 rounded to five decimal places?\nAnswer: 0.62762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/11)\/t**(1\/2)*(t*t**(-1\/2))\/(((t*t**(-2\/9))\/t*t)\/t))\/((t**(-2))**(-27))**(-1\/16) assuming t is positive.\nAnswer: t**(2777\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 435, 435, 433, 429, 423, 415?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266 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 3:03 PM and 3:45 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4060 - 4062. Let h(r) = 4*r - 4. Let s(k) = -9*k + 9. Give b*s(d) - 5*h(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 + (10 - 1). Let a = s - -2. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 - -0.44. Put 3, f, -11 in decreasing order.\nAnswer: 3, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -391 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*p - 24 + 136 = 0, 0 = f + 5*p - 68. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -337523*n + 814466?\nAnswer: -337523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4902\/1535 + 2\/307. Factor m*f**2 - 4*f + 8\/5 - 4\/5*f**3.\nAnswer: -4*(f - 2)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, b: 2, v: 4, q: 2}. Give prob of picking 3 v and 1 b.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15333 - 6?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9495800 and 19750?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48024975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*r**3 + 134*r**3 - 470*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/104381386 and -89\/16.\nAnswer: 835051088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, -274, -577, -1116, -1969, -3214, -4929, -7192?\n\"Answer: -13*g**3 - g**2 - 51*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1224a - -3?\nAnswer: 1224d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57780\/(-660) + (-34)\/(4862\/65)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22617377 by 10.\nAnswer: -22617377\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15707 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 - -228. Suppose -121 = -4*m - 3*o, -3*m + r = 3*o - 14. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.5 (c) 110\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 37*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - (4 - (-1775)\/(-10)). Let h = -52 + g. Let b = 126 - h. Solve b*s = -f + 15, s - 3*s = 5*f + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -85, -165, -283, -451?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 3. Let m be -8*3\/6 + -64. Let w = m + 63. Let v(x) = x - 1. Let p(r) = w*v(r) - 2*n(r). Determine p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + 8410\/(-90) - (-24)\/(-1728)*-16.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/77*7*(-2)\/4. Suppose -4*b - b = 2*l + 22, 0 = -2*l - i*b - 16. Let c be 8*(189\/l)\/(-7). What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -101*x + 528 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - -3) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2 - 4) + -12 + 152\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 + 32*v + 317. Let t(q) = -9*q**2 + 31*q + 308. Let u(r) = 4*m(r) - 3*t(r). Let u(l) = 0. What is l?\nAnswer: -8, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*c\/(c\/(c\/c**(-9)*c))*(c\/(c\/c**(-11)))\/c**14 assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27969*a + 204*a**2 - 158126*a - 203*a**2.\nAnswer: a**2 - 186095*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6392418, -6392417, -6392416, -6392415, -6392414, -6392413?\nAnswer: -6392412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13057 >= 13055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2606536 and 104876?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(((-65)\/(-10))\/((-80)\/256*-8)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35881786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80391 is divided by 170.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -118. Which is the closest to -2\/5? (a) 29\/5 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 29*t = -9. Suppose -o + 1 = 3, -t = -u + 2*o. Which is the biggest value? (a) u (b) -3 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 0.6034707 minutes?\nAnswer: 0.000059868125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350775?\nAnswer: 3, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6. Let f(p) = -p**3 + 4*p**2 - 1 - 18*p**2 - p + 0*p**2 - 13. Let j be f(-14). What is a(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = a + 2, 3*j - 886 = 2*a - 887 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499\/4675 - -3\/275. Let l(a) = -2*a**3 - a**2. Let r be l(-1). Which is bigger: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 y when four letters picked without replacement from {s: 8, r: 2, y: 2, j: 1, o: 2, u: 2}?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -1.5. Which is bigger: k or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1091 - 536. Let b = r - 543. Solve 21*u - b = 15*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18786 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 4*q - 2*t + 42, -q = 2*t - 27 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 - 202*m**2 + 41600*m - 320000 = 0. Calculate m.\nAnswer: 8, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:12 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120.02 - -120. What is the closest to 0.1 in z, -0.1, -2, 12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*x**3 - 170*x**3 + 96*x**3.\nAnswer: 29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1508 + 3028 - 1534)*(y**4 - 2*y + 2*y) in the form n*y**4 + x*y**2 + l + s*y**3 + u*y and give n.\nAnswer: 3002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87 - (3 - -55)) + -84.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.77031 centuries in years?\nAnswer: 1077.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246784383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, y: 1, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 3869?\nAnswer: 3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 261149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + (sqrt(605) - (sqrt(605) + 1 + 5))))**2 + (-6*(0 + sqrt(720)) + 4)*6.\nAnswer: -432*sqrt(5) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - (1 - -1) - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbb when three letters picked without replacement from {w: 7, b: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 - 13*s**3 + 17*s**2 + 63787*s + 2 wrt s.\nAnswer: 36*s**2 - 78*s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -91. What is the smallest value in 1\/9, -1\/4, x, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 11:52 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-5)\/20). Let b = 6 - u. Suppose 1 = -3*v - 4*a, -5*v + 0*a + b = a. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 10*t - 20. Let m be y(-12). Solve -2 = m*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 3 + 3)*(-155590*z**2 - 80*z**3 - 8*z**3 - 13*z + 155592*z**2).\nAnswer: 352*z**4 - 8*z**3 + 52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -716525787 + 5.76.\nAnswer: -716525781.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -515 + 1043. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5*f**2 + 31*d**3 - 21*d**2*f**3 + 21406*d*f**3 wrt d?\nAnswer: 20*d**3*f**2 + 186*d - 42*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2952 and -5\/124.\nAnswer: 91512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l + 3. Let f(r) = r**3 - 14*r**2 - 3*r + 43. Let j be f(14). Suppose -3*p + j = -2*h + 15, -2*p = 0. Does 5 divide x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21944*a**3 - 21936*a**3 - 83 + 85.\nAnswer: 8*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -476 - -576. Which is smaller: 302\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v + 65711 + 65708 + 65715 - 262841 + 65712.\nAnswer: 16*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/600 and -73\/18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**2 - 91*f - 313. Let v(r) = -3*r**2 - 26*r - 104. Give -2*i(w) + 7*v(w).\nAnswer: -w**2 - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112 - 36\/(-54)*33\/(-4)*(-96 + 98)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = n + 2*g, 5*n - 4*g = 12. Let w(o) = 2*o + n*o + 0*o. Let b(l) be the third derivative of -3*l**5\/20 - 126*l**2. Calculate b(w(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + -bb6b?\nAnswer: -bb3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 7. Let g be c(-8). Let m = g - 4. Which is smaller: m or 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 21 = -9. Suppose -2 = u, 0*j + j + 4*u + 3 = 0. Suppose -8 = j*p - 53. Calculate the highest common factor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37135 - 1787759*d + 1787730*d - 37135.\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-36)\/4))\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -0*b - 5*k - 22, 0 = k for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/5 - 146*w**3\/5 + 2014*w**2\/5 - 374*w = 0.\nAnswer: 0, 1, 17, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4)*h*h*h)\/((h\/h**(-4\/7))\/h)*h**3*h**(-1\/6)\/h*((h*(h\/(h\/(h\/h**(-7))*h))\/h*h)\/h*h**(2\/21)*h)\/(h\/h**(-1))**(-37) assuming h is positive.\nAnswer: h**(1167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713733.04 times -5?\nAnswer: -8568665.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h**2 + 9*h - 7. Let s(n) = -6*n**2 + n**2 + 3 - 4*n - n**2 + n**2. Let i(w) = w**2 + 6*w + 4. Let z be i(-6). Calculate z*p(a) + 9*s(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 7 - (-5 + 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7749140 and 14?\nAnswer: 7749140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 + 598014*l**4 - 17942229*l**3 + 177633648*l**2 - 645948432*l + 775142784 = 0.\nAnswer: -199368, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -222033?\nAnswer: 222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 13*n**2 + 13*n + 32. Let b(m) = -37*m + 432. Let k be b(12). Let t be a(k). Solve -4*i + 3*c - 10 - 8 = 0, t = -4*i + 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 123*l - 1418. Let c(p) = -54*p - 1. What is the remainder when c(-2) is divided by n(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 14\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hygofyh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70705 >= 70697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1549\/36400 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*s + 3*s - 6 = 0, 5*c + 21 = -2*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2. Let v(q) = 85*q**2 - 29*q**2 - 39*q**2. Calculate g(v(p)).\nAnswer: -867*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.9999864. What is l rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100 - 0?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t, -2*b - 24 = -t + 9. Let m = b - -45. Let r = 66 + m. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 33999?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25245 = -3*q, -435*i + 437*i - 4*q - 10124 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(117))\/(-3*sqrt(324)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-100)\/125)\/(1\/(-1825)). Let k be (-8 - s\/5)*2780. What is k rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 1, q: 3, u: 3, r: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-40)*l\/((l*l*l**(-1\/16))\/l))**(4\/3) assuming l is positive.\nAnswer: l**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njj when three letters picked without replacement from {n: 4, j: 3, a: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -40*q**2 - q**3 - 32*q**2 - 6 - 36*q**2 + 14*q + 103*q**2. Determine n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33280 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -14 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -4) + 31 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/24*-4)\/((-24)\/(-100980))*2 and 850.\nAnswer: 28050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*-4*(-8246)\/(-1736).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 2. Let t be m(-1). Let o be 0\/(-2) - (-6 - -4). Suppose t = -4*v - 3*a + o*a + 23, -13 = -2*v + a. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 24 - -6) + 14 + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -33. List the prime factors of (m + -1)\/((-6)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 - 10*t - 12. Let m be p(-8). Suppose 100 = m*g + 4*d, 0*g + 4*d - 56 = -2*g. Calculate the greatest common divisor of 198 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, e: 2, r: 3, a: 3, w: 1, v: 2}. What is prob of sequence rwer?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 129.408. Let d = i - -1.8. What is d rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 + 23 = 5*s, 0 = 3*s - n - 38. Let g be 0 + (-1)\/(-1) + (6 - s). What is the tens digit of (-287)\/g - 2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = b - 3*s, -2*b - 5*s + 62 = -89. Suppose -4*z - d + 77 = 0, 0*d = 5*z + 4*d - b. Is 3 + z - 2\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14936 + 14941. Solve -2*r + 14 = s, 239 = 5*s - j*r + 244 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23753, -23490, -23083, -22556, -21933, -21238, -20495, -19728?\nAnswer: -18961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20587699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -125115125?\nAnswer: -125115123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3\/3 + 3*c**2\/2 + 5*c - 12. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 6 + 0\/2. Suppose -5*n - 2 - 3 = 5*p, -4*p = n + k. Differentiate -n - 2*j**2 + 0*j**2 + 0 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1.8, -4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-5 + -5*sqrt(80))**2 - (2 + -2 + sqrt(80) - -3*(0 + sqrt(80)))**2) + -2)*-1.\nAnswer: -746 - 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -19 (c) -4\/3 (d) 5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9087 + 9086.1. Let j = 14 + -17.2. Let y = -3 - j. What is the nearest to 0 in 3, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*f - 191*f - 127 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -57, -206, -497, -978, -1697?\nAnswer: -2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6924 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, 0, 1.656?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 4*k + 5*m, 25 = 5*m - 0*m. Let r = k - 27. What is the second derivative of -7*b**5 + 4*b + 8*b**3 + 0*b**r - 8*b**3 wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24171047 to the nearest integer?\nAnswer: 4916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -89*s**6\/120 - 41*s**4\/8 + 6*s**2 + 2. Find the second derivative of p(a) wrt a.\nAnswer: -534*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 4, -3, 6\/589, 1, 6\/11 in increasing order.\nAnswer: -12, -3, 6\/589, 6\/11, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**5\/60 + 2*n**2. Let c(w) = 2*w. Let d(o) = -o. Let x(y) = -2*c(y) - 5*d(y). Give u(x(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1712, 1668, 1612, 1538, 1440, 1312, 1148?\n\"Answer: -q**3 - 37*q + 1750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/11 - 910*i\/11 - 1812\/11 = 0.\nAnswer: -453, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 + -6 + -809 + 700?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.683 - 0.317. What is the closest to n in 3\/4, -7, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7905598.\nAnswer: 2\/3952799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -46 in ascending order.\nAnswer: -46, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11. Is 2\/(6\/(-21)*s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrjccorjcj. What is prob of sequence cjo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 6*l + 1186*l**3 + 5*l - 3*l + 3*l.\nAnswer: 1186*l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38.1, -4, -3\/2, 1?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 + 10\/6. Solve 6*h - 3*h = -j + 14, -5*j - o*h + 31 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**2 + 5*f + 2. Let b(j) = -15*j**2 + 4*j + 2. Let t(g) = -5*b(g) + 4*r(g). Find the first derivative of t(z) wrt z.\nAnswer: 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2589.71 + 2608. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/7 + 7767*a**3\/7 + 5493315*a**2\/7 - 5501079*a\/7 = 0.\nAnswer: -579, 0, 1, 3167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25495 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5553308275 to the power of 1\/3, to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 + 116 - (-34 + 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -74, -79, -64, -17, 74, 221?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 273444737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(23088\/(-6)))\/((-1)\/(-16))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**3 - 8*j - 2. Let w(k) = 17*k**3 - 17*k - 5. Suppose 3*x = 6*x - 6. Let v(r) = x*w(r) - 5*d(r). Find the second derivative of v(a) wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((6 - 9)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:34 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -5*d + 9*r - 20, 20 = d - 5*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 6*l - 260 + 143. Let j be x(0). Let a be (2\/3)\/(26\/j). Let h(s) = -s - 4. Give h(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 7. Let f be g(-12). Let k be (2 - (-3 + 5))\/(-2). Let h be (-1 - 0)\/2*k. Solve -4*s = -h*s + 4*w - 36, -2*s + 30 = f*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -1, -2\/7 in descending order.\nAnswer: 97, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 399 = 2055. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n)**(-34\/9)\/(n\/(n\/n**1))**(-2\/3))\/((((n**(1\/3)*n*n)\/n)\/n)**(1\/10)*(n*n**(2\/5))\/(n*n**3)) assuming n is positive.\nAnswer: n**(533\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -399876 in decreasing order.\nAnswer: -2, -7, -399876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2 - 2*j**4 + 101 + 70*j**3 - 5*j**5 + 38 + 7*j**5 + 122*j**3 - 2*j wrt j.\nAnswer: 120*j**2 - 48*j + 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*n + 16, 4*b + 4*n = 8 + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -47, -76, -109, -146, -187, -232?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 - 2970 + 4751 - 1781.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 618 + -608. Suppose -a*i - 16 = -14*i. Put 5, -2, i, -4 in decreasing order.\nAnswer: 5, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -15210\/5921?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80\/3 + -27. Let d = 901\/7 - 129. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 625944040.\nAnswer: -625944039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 239.2. What is the closest to 0.2 in 2, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -2\/11 (c) -0.1 (d) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let b(d) = 146*d. Calculate s(b(v)).\nAnswer: -42632*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.00908, -2\/5, -108 in decreasing order.\nAnswer: 2, 0.00908, -2\/5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 851?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/2)\/(30\/(-40)). What is the remainder when 38 is divided by (h - -1)*14\/35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1385, 2363, 3361, 4385, 5441, 6535?\nAnswer: 7673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110335 (base 8) in base 9?\nAnswer: 55775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 82671547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -31. Solve x - 3*x = -b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 12. Let t be 132\/(-12)*(-2 - c). Solve -2*u - 2*x + 6*x = -28, 0 = -u - 3*x - t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 41736?\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*g + 84. Calculate the greatest common divisor of 511 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2034 and 3955.\nAnswer: 71190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 0, 4*y - 50 = -m + 124. Suppose 13*z - m + 71 = 0. Solve -2*v - x + z = 0, -2*x = -0*x + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360721?\nAnswer: 137, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3909 - 3908.9. Which is smaller: g or -0.0405?\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 13. Let w be b(3). Suppose 14 = 2*z - w. Suppose z = -2*r + 176. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 11*q**3 + q - 16*q**3 + 33*q**3.\nAnswer: 6*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(96)\/sqrt(3) + 3 + sqrt(2) + sqrt(2) + 0 + 0)**2.\nAnswer: 72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*l - 6, -5 = -2*l + 3*z + 11. Suppose 0 = -l*n + 5*f, 0*f = -4*n + f. Suppose 2 = -n*m + m. Solve -m*b - 2 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*v - 166 + 292 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -489*s + 1. Let i(g) be the second derivative of g**3\/2 - 4261*g. Give q(i(z)).\nAnswer: -1467*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-144)\/(-6)*456. Suppose 6*j - a = -1542. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*d*m**4 - 5*d*m**3 + 6890147*d*m**2 + 14*m**4 + 9*m**3 wrt m.\nAnswer: 2256*d*m - 30*d + 336*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 times -0.4\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2419, -2408, -2397?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:56 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 5*u + 3. Let f be ((-46)\/(-23))\/(-3 + 1)*7. Let z(p) = -6*p**2 + p**3 + 9*p**2 + 16*p - 10 + 4*p**2. Give f*c(r) - 2*z(r).\nAnswer: -2*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 3. Let w(m) = -m**3 + 5*m**2 + 8*m - 5. Let a be w(6). Let g = a - 3. Calculate the least common multiple of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-5)\/8)\/(1980\/(-3696)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 297851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 33*k**2. Let t be s(-2). Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/2 + m**3 + 3*m**2\/2 - 2. Let n be a(-2). Suppose -4*v + n = -26. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x + 6126 = 119*x. What are the prime factors of x?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:18 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f - f**3 + 7*f**2 + 9 - 2 - 5. Let t be c(8). Suppose -t*v + 12 = -30. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1479 and 5568?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:21 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/14)\/((-9)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 0, 34, -202, 102 in ascending order.\nAnswer: -202, -34, 0, 34, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1795833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-132)\/(-110)*(-20)\/6. Let x be (-18)\/8 + 2 - 29\/b. Calculate the least common multiple of 80 and ((-4)\/(-14))\/(x\/196).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/154 and -35\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 100000100?\nAnswer: 100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7526 and 710?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 26*v**2\/5 - 96*v\/5 + 72\/5.\nAnswer: -2*(v - 6)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 434 + -419. Suppose -4 = -2*p, 3*p + 414 = 7*i - 3*i. Calculate the greatest common factor of y and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*j - 70 = 0, -5*v + 4*j + 52 = -310. What is the remainder when v is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*w**4 + 210*l*w**3 + 6740468*l*w**2 - w**4 - 48*w**3 wrt w.\nAnswer: 24*l*w + 1260*l - 24*w - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 not equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-23\/4)\/(q\/(q\/q**0*q))**(-7\/3))\/(q**5*q**(2\/5))**(-1\/9) assuming q is positive.\nAnswer: q**(241\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.025 - -0.025. Let j = -34 + 18. Let g = j + 10. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 - p**3\/3 + 3*p**2 - 11*p - 2337. Give w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from ieyyieeyqeeeqqe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -1, -19, -0.118, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3664909*a**5 + 13*a**4 + 3*a**2 - 680*a - 121573 wrt a?\nAnswer: -73298180*a**3 + 156*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*1*-2*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 16. Let z = 641 - 630. Suppose -j*y + 66 = -5*f, f - 37 = -2*y - z. Calculate the least common multiple of 5 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.25, 23, 80, -15\/2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + (-2 - (-7 - 0)) - ((-22 - -7) + 21).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 + 517*u**2\/2 + u\/2 - 517\/2.\nAnswer: -(u - 517)*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 7, 6, 5?\n\"Answer: -d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010100101000001000010 - 100?\nAnswer: 10000010100101000000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 1\/8 (c) 5 (d) 2324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o + 5*o**2 - 9*o**2 + o**2 + 10*o**2 - o**3 - 1 in the form g + l*o + m*o**3 + q*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130165 is divided by 565059?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 1. Let u be k(0). Let g(q) = 5*q**2. Let o be g(u). Find the third derivative of 5*p**3 - 3*p**2 - 3*p**3 + o*p**2 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.9. Let l = 5 - 3. Let h = l + -2. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(10\/(-20)). Suppose 47 = d*t - 13. Calculate the least common multiple of t and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2410\/31 - 11957\/155. Sort 1\/7, -3, 3\/10, -7, t in decreasing order.\nAnswer: t, 3\/10, 1\/7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 6663?\nAnswer: 6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(364)\/sqrt(7))\/sqrt(4) + sqrt(1872) + -2).\nAnswer: -39*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -41*t. Calculate o(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 13. Let l be o(0). Let v(x) = 3*x**2 - 21*x + 8. Let m be v(6). Which is bigger: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-212)\/(-424) + (-243945)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:01 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3792, -7 in increasing order.\nAnswer: -3792, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919308 is divided by 286.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 8:47 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32091387.\nAnswer: 3, 2297, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 1718485?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71484405*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33826832*t**2 - 26217267.\nAnswer: 67653664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b - 58. Let x be r(7). Solve 7*h = 11*h - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from zzwwzww?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 993\/(-5627) + 3\/17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:21 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*-2*2)\/(1*sqrt(10)*-3))\/((-5*((sqrt(245) - (sqrt(245) - sqrt(245)*1)) + sqrt(245) + sqrt(245)) - sqrt(245))*6).\nAnswer: -sqrt(5)\/504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*i**3 - 3 - 9*i**5 - 2*i**3 + 108*i**3 - 48*i**4 + 3 - 12*i**2 = 0 for i.\nAnswer: -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58314, -116675, -175010, -233307, -291554, -349739, -407850, -465875?\n\"Answer: 2*i**3 + i**2 - 58378*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 12 = 4*k + 3 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 9, 5*n - 44*m + 35548 = -40*m. Is -7109 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 211. Suppose -2*n + s*u = -19, u - 4 + 7 = 0. Solve -5*h + 10 = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 10}. What is prob of sequence yybb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 4, b: 2, k: 3, u: 2}. What is prob of picking 2 k and 1 i?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*r = 389*r - 685. Suppose 0 = -s - n + r, -s + n + 10 + 135 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -43.21 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-15)\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -2, 63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 21*q - 3*v + 5 = 0, 2*v = -2*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 72*s + 70*s - 1 + 1. Let g be m(2). Suppose -o + 0 = 2*r - 8, 3*o - 22 = -5*r. Solve -o*h + 5*h = -2*j - g, 4*h = j - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22219.\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i**2 + 106*i**2 - 35*i**2 - 34*i**2 + 19*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 3*i - 9. Let j be ((-4)\/(-6)*198\/(-44))\/(4\/(-4)). Let n(m) = -m**2 - 2*m + 8. Give j*n(u) + 2*v(u).\nAnswer: -2*u**3 - 3*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-10)*-10 - (46204\/(-7632) - -2) and 49\/5724?\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -2*f, 0 = 3*f - 5*f - 5*u + 4. Solve -f*s + 12 = 6*y - 4*y, -6 = s - 3*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 39eae7?\nAnswer: 39eae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from fzzkkkzkzkfzzzz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -1909, -1, 1.19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - 2. Suppose -s*w = 3*w - 1275. Suppose 3*r = -3*h + 165, -5*r + w = -h + 2*h. Calculate the highest common factor of r and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -1\/24*g**4 + 0*g + g**2 + 1\/3*g**3 - 1. Let c(d) be the second derivative of z(d). Differentiate c(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 16*a - 45*a = 3422. Sort -1, a, -23 in increasing order.\nAnswer: a, -23, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 0*z)*(8 + 1 + 2)*(7 - 1 + 0)*(3*z**2 - 5*z + 5*z + (2*z - 2*z - z)*(-5*z + 3*z + 0*z) + z**2 + 4 - 4).\nAnswer: -792*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 24*b + 503. Is x(124) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 41267726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23793 plus 23?\nAnswer: -23770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 31*r - 7 + r**3 + 25*r + 1. Suppose -2*a - 15 + 7 = 0. Let u be m(a). Solve -3*o + 3*b = u*o - 5, -2*b = -5*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276824 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 - 24285*z - 3991145\/4.\nAnswer: 5*(z - 19469)*(z + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40 - 0\/3)\/(-1). Suppose c = 2*u - 23, 3*c + 4*u - 25 = 4*c. Let d = c - x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 50*j**2 - 19*j - 22. Suppose 7*a - 87 = 3*a - 3*d, -a - d = -22. What is the smallest common multiple of a and c(1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 5fcc2?\nAnswer: -5fcb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 3*u + 6888 - 7056, -4*y = u + 57 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3487 divided by 2.\nAnswer: 3487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p + 15. Let g = -148 - -143. Let n be (3 + 54\/(-15))\/(g\/75). Calculate the highest common divisor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 6*j. Suppose -7 = -j*l + r, -2*l + 3*r = -4 - 3. Suppose 30 = -l*f + 28. Which is greater: f or 4\/61?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/429 + 2\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4590 and 330.\nAnswer: 50490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-576)*-24*-40\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20621240 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -212000?\nAnswer: 212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 44 + -84 - (1 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*(1 - -1). Let z be 1 - o\/(6\/4). Suppose 2*d - 29 = w, -d - 5*w + 17 = -z*w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*p - 250, -4*j + 5*p = j - 335. Let i = 97 + -73. Calculate the remainder when j is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y - 3. Let o be h(-9). Calculate the greatest common divisor of o and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*b = -455, -4*f + 5*b = -9*f + 625. Let l = f + -117. What are the prime factors of 810\/l + 3\/(6\/8)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)*((-36)\/16 - -2). Sort -3, -16, k, 1.\nAnswer: -16, -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:24 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 3. Let o(r) = -11*r - 7. Let u(h) = 5*c(h) - 2*o(h). Let i be u(-7). Find the common denominator of 89\/i - (5 - 4) and -15\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhdvdhdvvvhvd. Give prob of picking 2 v.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8486, 33974, 76478, 136010, 212582?\nAnswer: 306206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/2 - 374*g**3\/7 - 11280*g**2\/7 - 3200*g\/7 + 3728. Factor j(i).\nAnswer: -2*(i + 40)**2*(7*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10716 and 13.3?\nAnswer: -142522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1469*b - 1373. Is q(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-18 + 8 + 19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -362, 0, 1.\nAnswer: -362, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 16 = -4633*b + 4634*b, 2*x + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -32)*6\/4. Let y = 65 + r. Let g(u) = -3*u**3 + 18*u**2 - 20*u - 23. Let s be g(y). Round s to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5735 + -871717\/152. Let z be (-446)\/(-32)*18\/(-285). Let y = r - z. What is the common denominator of -85\/2 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/20 + (-132)\/264\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26382647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:35 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -630\/13 <= -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 860 - 6050\/7. Let i be (53\/(-105))\/(1\/(-3)). Let g = i - k. Which is greater: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.375 less than -0.2?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777*-0.4.\nAnswer: -310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:01 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvgvg. What is prob of sequence vgvg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Suppose -4*m + 4 = -8, 2*n - m = 7. Let v = -857 - -897. Let k(g) = n - v*g + 12*g - 3. What is k(a(u))?\nAnswer: 56*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 26. List the prime factors of p(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 18*a - 9. Is b(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265 or 184?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4485 and -0.123?\nAnswer: -0.0551655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1.734 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5\/6))\/(t**4*t)*(t\/((t*t*t\/(t**(1\/4)\/t))\/t))**39)**(-50) assuming t is positive.\nAnswer: t**(21425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46960 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teetxxkkkkttxkettex. What is prob of sequence ett?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6238, 12479, 18722, 24967?\nAnswer: 31214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 - 1. Let b(d) = 2*d**3 + 5*d**2 + 3*d - 9. Let j(z) = b(z) + s(z). Let j(t) = 0. Calculate t.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105640 + -3?\nAnswer: 105635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0.2, 76245 in ascending order.\nAnswer: 0.2, 25, 76245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 6*x + 8*x. What is the second biggest value in -0.5, x, 0.1, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1. Let t(j) = -9*j**2 - j - 6. Let o(i) = -t(i) + 7*z(i). Let w(u) = u + 1. Let s be w(0). Let d be o(s). Which is greater: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/1 + (3 - 6). What is the remainder when (l - 1)\/(0 - -1) is divided by (-4)\/18 + (-74)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -442, -647, -834, -997, -1130, -1227, -1282?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 1110*n - 35*n - 4*n**2.\nAnswer: -4*n**2 + 1075*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -6286*h**3 + h**2\/2 - 168*h. Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7089864, -7089860, -7089860, -7089864, -7089872, -7089884, -7089900?\n\"Answer: -2*v**2 + 10*v - 7089872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - y**4 - 2*y**4)*(0*y - 5*y + 6*y) + (0*y**3 - 4*y**3 + y**3)*(-10*y**2 + 4*y**2 - 114*y + 5*y**2).\nAnswer: y**5 + 342*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*a + 24 - 23 + 23 - 111 + (2 - 1 + 0)*(-12*a - 2*a + 8*a) in the form k*a + x and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 511 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -1 + -4 + (-503 - -521).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95000 and 95?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 14*o + 101. Suppose -49*j - 54 = -52*j + t, -23 = -2*j + 5*t. Give n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 0*o + o**2 + (o - o + 4*o**2)*(2 - 2 + 1) + o**2 - 4*o + 4*o to i*o + s + d*o**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1281*w - 15. Let j(o) = -2563*o + 34. Give 4*j(m) + 9*x(m).\nAnswer: 1277*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*v + 51873 + 36330 = -1608*v + 34905 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -431022 (base 9) in base 2?\nAnswer: -111110101001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c. Solve c = -2*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 8*p + 12. Let v be a(-6). Let d = -31 + v. Solve -2*c + 2*l = -d*c + 22, -3*c - 4*l + 32 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from rmmmeeroesorommmmeme.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1005, -970, -933, -894?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -610 - -617. What is the second smallest value in 0, -6, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -5907.\nAnswer: -29535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/28)\/((-2)\/8). Let c(o) = o**3 - 7*o**2 - 10*o + 12. Let g = 16 - 8. Let b be c(g). Put -5, u, b in decreasing order.\nAnswer: u, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-368)\/60 + (-2)\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2115724 by -598.\nAnswer: -3538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -958*o. Let n(i) = -2625*i. Determine n(b(g)).\nAnswer: 2514750*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31793*d**4 - 11*d**3 + d**2 - 36960062*d wrt d?\nAnswer: 381516*d**2 - 66*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + 57. Let b = 53122 - 53010. Calculate the highest common divisor of k and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 + 3*t + 1\/4*t**4 - 2*t**3 + 9\/2*t**2. Factor i(n).\nAnswer: 3*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.93, 0.3, 3.5 in descending order.\nAnswer: 3.5, 0.93, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 63\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -12. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678\/9*(-7 - -10)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3)\/(-7))\/((-25)\/((-550)\/(-198))))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 - 8*o**3\/3 + 7*o**2\/2 + 3*o + 2. Let g be z(7). Suppose 2 = u - g. Solve 3*l + 8 = -5*h, 10 = -u*h + 5*l - 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 - (27 + -35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -451.867 - -0.867. Let d = 452 + v. Let z = -0.69 - 33.31. What is the closest to d in 2\/17, -0.3, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100, -82, -52, -10, 44, 110, 188?\n\"Answer: 6*c**2 - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*t + 13 = 0, 26*f + 2 = 24*f + 2*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3018*t**2 + 2*t**3 + t + 0 + 3 - 2 + 25715*t**2 - 4*t**3.\nAnswer: -2*t**3 + 28733*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2. Suppose 0 = -x + 11 + 5. Let w = -4 + x. Let r(l) = -12 + l**2 + w. Determine m(r(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-7)*q*q**(-8))\/(q*q**6\/q*q*q**(-1\/13)\/q) assuming q is positive.\nAnswer: q**(-246\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16700*j*l**3 + 662*j + 3*l**2 wrt l.\nAnswer: 100200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*n - 4*y, -4*n + 2*y = 6*y + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 49*h - 11. Suppose -47*v = -44*v + 48. Let z be b(v). Solve z*i - 24 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996 divided by 39.\nAnswer: 332\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2807\/1455 + -2\/485. Let u = 2100 + -12527\/6. Find the common denominator of u and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -11, -103, -2, 3 in descending order.\nAnswer: 3, -2, -11, -102, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 10602 + 977 = 27*j. What is the greatest common divisor of 1100 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, -2, 2 in descending order.\nAnswer: 2, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 18 - 2 + 49. What are the prime factors of c(0)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15448\/6*53\/(2650\/225)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 - 197. Which is the nearest to 2.4? (a) -0.5 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2803436, -1\/9 in descending order.\nAnswer: -1\/9, -2, -2803436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/7 - 2\/(-7). Let d be 0 - ((3 - 2) + o). Suppose -f - d*f = -39. Calculate the remainder when 37 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 - 5*q - 2. Let b = 10 - 4. Let a(m) = m**2 - m. Let n = -2 + 1. Give b*a(c) + n*j(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13\/6 + -2)*12\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 541*s**2 + 1 + 517*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 0, -3, 0.02, 98\/9?\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5*4\/(-16))\/(1\/4). Suppose -g*k + 24 = -176. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 0*q)*(-3 - 2 + 4) + (2*q - 2*q - 2*q)*(1 + 3 - 5).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*h - 2, 0 = -2*h - 3*t + 5 - 4. Suppose -5*l + 26 = 11. What is the third smallest value in 1\/4, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 5757 + 1626 + 1377 + 1376 + 1378.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38783595*l - 35590822 wrt l.\nAnswer: -38783595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 6\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, z: 8, j: 2}. What is prob of sequence jzp?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -faf (base 16) in base 12?\nAnswer: -23a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -166614 divided by -55538\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8750247350 to the power of 1\/2, to the nearest integer?\nAnswer: 93543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 11*t + 25. Suppose -116 - 101 = 31*j. Let s be x(j). Let q(z) = -3*z - 3. Determine q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5420)\/(-13) + 43\/559. Which is greater: 416 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2352 - -2405. Sort m, -2, 3, -4 in decreasing order.\nAnswer: m, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2. Let s(y) = 16117*y. Determine q(s(d)).\nAnswer: -779273067*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Let p be r(0). Let q(f) = -f - f**p - f + 1 - 4*f**2 + 4*f**2. Determine q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251229 and 324093?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 0*n**2 - 3*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = w - 12, 3*m + 339*w - 46 = 334*w for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -0.4 (c) 0.2 (d) 627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936890 is divided by 444.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27414*c**6 - 45*c**4 + 13386*c**2 - 17 wrt c.\nAnswer: -3289680*c**3 - 1080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93\/49 - 107\/49. Let l = 10 - 6. What is the closest to n in l, -5, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 5*y + 5. Let z be h(-5). Suppose -5*d - 4*q + 36 = 0, d - 5 = z*q + 8. Solve -k - 24 = -5*t, 5*t - 8 - d = -k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 2*x**3 - 2*x + 1 + 2*x**3 + x**3. Let b(u) be the first derivative of -u**4\/4 + 7*u**3\/3 + u**2\/2 - 10*u - 6. Let o be b(7). What is m(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6 (b) -0.58 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {w: 5, n: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 9427?\nAnswer: 9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 172058*b. Let q(r) = -6*r**2. What is p(q(s))?\nAnswer: -1032348*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585849 + 10*j**2 + 1585849 - 171*j.\nAnswer: 10*j**2 - 171*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/504)\/((64\/(-8))\/16)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -3. Suppose -n = -2*i - 0*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305 - 308. Let p be ((-120)\/680)\/(-2 - r). Which is the biggest value? (a) 8 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 1. Suppose 0*j + x*v - 22 = -5*j, 0 = 4*j - 3*v + 4. Find the second derivative of -j*n**5 - n + 3*n**5 - n wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 22040656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 7. Let v be o(-7). Suppose 5*s + 17 = 2*i, 5*s + v = -i - 0*s. What is the nearest to -0.1 in -2, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqtfftfqffttyftet. What is prob of picking 1 t and 1 y?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 20 = -2*q. Let k = 10 - q. Let z be 27\/(-3)*(-2)\/k. Solve 0 = -2*c - z*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116)\/(-2)*(-30343)\/(-38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 75 = 0. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yupap. Give prob of sequence up.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 62825\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-15)*(-5)\/15. Let u = -0.2 + -0.3. Let p = -0.55 - u. Which is the nearest to 0? (a) z (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -343*h + 11 - 418*h + 2*h**2 + 772*h. Let g(v) = -v**2 - 7*v - 7. Determine -5*f(x) - 8*g(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 - l**2 + 9*l - 10. Let p be y(-5). Let a(q) = 4*q**2 + 420*q - p*q. Let j(h) be the first derivative of -h**2 + 1. Determine j(a(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 2*s**2 + 2*s**2 + (-s**2 + s**2 - s**3)*(-4 + 2 + 1) + 4 - 4 - 2*s**3 + (-4*s**2 - 3 + 3)*(-2*s + 2*s - s) + 0*s**3 + 2*s**3 + 11*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 377197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -14.93. Let z = t + 14.9. Let h = -0.2 - 0. What is the third biggest value in -3, h, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13405 (base 8) in base 10?\nAnswer: 5893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/32695 at most as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (475*r + 191*r + 4410*r)*(-3 - 2 + 6).\nAnswer: 5076*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (70 - -7) - 43.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 4ec7?\nAnswer: 4ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 5. Let v(k) = k - 4. Let r(n) = 6*v(n) + 4*y(n). Let a(w) = -3 - 84*w - 1 - 102*w + 188*w. What is -6*a(z) + 5*r(z)?\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 44*u**3 - 15 + 17 - 47*u**3 + u**4 as b*u**2 + m*u**4 + v*u**3 + d + r*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f32 (base 16) to base 6.\nAnswer: 100550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28372 and 2624?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 3626*r + 174802. Calculate j(-47).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121011112 + 10?\nAnswer: 121011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10 and ((-2)\/(-21))\/((-3572)\/(-4617)).\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4076605*p - 4076605*p - 11*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 663 * 451.\nAnswer: 299013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (4 - -1)) + 0. Let r = z - -16. Suppose 5*g - 73 - 110 = -2*s, 302 = 3*s + 2*g. What is the highest common divisor of s and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -83, -5, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2*j**3\/3 - 5*j**2\/2 + 4*j - 1. Let r(y) = y. Let g(n) = 3*r(n) + t(n). Let g(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499444133 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: What is the millions digit of 4493096890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 35, 44?\n\"Answer: 9*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 3*l. Let d be f(2). Let h be d\/(-14) - (-30)\/105. Which is the biggest value? (a) h (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**3 - 5*w**2 - 206. Let o(v) = -5*v**3 + 3*v**2 + 103. What is 5*o(q) + 3*x(q)?\nAnswer: -q**3 - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -921.88 and -2041121.7?\nAnswer: 2040199.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3230 - 12?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6*(-45)\/(-5). Suppose 23*h = 25*h - c. Is 14 a factor of (112\/h)\/((-1)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.046672 and -3712684.\nAnswer: -3712683.953328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7194896*m**4 + 3*m**2 - 58766*m.\nAnswer: -172677504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 - -738. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) 0 (b) -2 (c) 5 (d) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/26 - ((-3990)\/247 - -32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 13353033?\nAnswer: 13353034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 > 2704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25913933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29438 + 64050 + 136577 = 2498*i - 13663 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*y + 5 = -y, 6 = -5*o - y. Let v(g) = 4*g**2 + 3*g - 4. Let u(f) = -f**3 - f**2 - f + 1. Let k(i) = -3*u(i) - v(i). Give k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + (-2 - (1 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6)*((-72240)\/66220)\/(20\/22 - 0). Let -1\/5*r + 2\/5*r**4 + 0 + 1\/5*r**5 + 0*r**3 - z*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334313 is divided by 266861.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 8*z**2 + 473*z - 1910. Calculate r(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*v**4 + 19*v**4 - 9*v + 9*v - 38 with respect to v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 5*p = 245. Let l = p - 45. What is the second biggest value in 6, l, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*q + 70, -3*d + 30 = 2*d + 4*q. Let u(p) = -1 + 2*p**3 + 11*p + 9*p**2 + 2 - 3*p**3. List the prime factors of u(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*l = 7*s - 2*s + 2*l - 25, l = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*q - 10, -5*f + 104 = -4*q. Differentiate -135 - 3 + f - 112*b with respect to b.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, -9.29, 0.245, 4.\nAnswer: -9.29, -2, -1\/4, 0.245, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y - 1. Suppose -77 = 11*u - 11. Let l(t) = 23*t + 3. Let i(m) = u*l(m) - 17*a(m). Give i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*b - 283*b - 678*b.\nAnswer: -365*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7120032 and -41.4.\nAnswer: 7119990.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-22))\/(5\/(-2) - -2). What is the nearest to 1\/3 in b, 0.05, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2376*c - 3442*c**2 + 2376*c - 4004*c**2 to i*c + m*c**2 + r and give m.\nAnswer: -7446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19473 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - h + 4. Let k(i) = 0*i**2 + 13251*i - 13249*i + 5*i**2 + i**3 - 9. Give -5*j(q) - 2*k(q).\nAnswer: -2*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 45 - 23) + (-67 - -9).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/6 - 8*b. Calculate j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-7 + -1 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 190\/15 + -1 + -11\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 397*1\/2*(-11 - -13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1402 (base 7) to base 16.\nAnswer: 21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3003503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 1. Let w(p) = 1. Give -2*a(z) + w(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 35 = 5*s, -4*s = n - 22. Suppose 0 = s*o - 162 - 713. Suppose 165 = 4*l - 2*z - o, 4*l - 344 = 3*z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y. Suppose f = -1 + 5. Sort y, -4, f.\nAnswer: -4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247945100.\nAnswer: 2, 5, 13, 89, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34201 (base 5) in base 6?\nAnswer: -15122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(800) - 5*-2*sqrt(800)) + sqrt(800))*2)\/(6*(3*(sqrt(10) - sqrt(10)*2) + (-2*sqrt(100))\/sqrt(10))).\nAnswer: -16*sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7593 + 0.6593. Sort f, 1\/3, -76\/7 in descending order.\nAnswer: 1\/3, f, -76\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -29*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from simmbfs. Give prob of sequence sf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p - 82. What is h(14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211102 (base 3) in base 8?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228137395105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 300.7.\nAnswer: -2706.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1\/2*n**4 + 2\/55*n**5 + 4\/11*n**2 - 28\/11*n**3 + 43 + 112\/11*n. What is b in f(b) = 0?\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -138. Let n(x) = 2*x. Let z be n(2). What is the second biggest value in 1\/9, a, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03397223 and 30.438?\nAnswer: 30.40402777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -14\/13*p - 8\/13*p**2 + 2\/13*p**3 + 20\/13 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -b + 3*t, -b - 5*t + 25 = 2*b. Suppose -8*c = -12*c - 4*x + 236, c - 4*x - 49 = b. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 13*f + 522. Let u = 280 + f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -45, -2 in decreasing order.\nAnswer: 5, -1, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*w - 55 - 410 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631772 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 2*b - 13*b**3 + 2*b to s*b + h*b**2 + c*b**3 + u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 83*d**2 - 36*d + 190. What are the prime factors of n(6)?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-160)\/(-26) - (-2)\/(-13). Let l(h) = 4*h + 5. Let s(n) be the first derivative of 11*n**2\/2 + 15*n - 3. Let u(t) = m*s(t) - 17*l(t). Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, p: 1, h: 1, x: 2}. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/372 and 35\/2252646?\nAnswer: 4505292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36429756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255 (base 12) to base 13.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 60. Let p(x) = -x**3 + 8*x**2 - x + 10. Let u be p(8). Suppose 6*o - g - 59 = u*o, -2*g = 3*o - 58. What is the remainder when d is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 - 150224*b + 1802112 = 0.\nAnswer: 12, 37544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Let z = 4.406 + -0.406. Let u = -276 + 1936\/7. Which is the closest to 2? (a) u (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(540))\/((sqrt(144)\/sqrt(3))\/sqrt(4)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 14415950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5755760 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1 + q**3 - 3 - 8*q + 6*q**2 - 5. Let r be u(-7). Solve 0*h + 2*h + 4 = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/4 + 4*t**3\/3 + 4*t**2 - 7*t - 7. Let s be u(5). Suppose j = 13 + s. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -16. Calculate the highest common divisor of 27 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 5. Let o be h(1). Let a be o + (-15)\/5 + 9. Suppose -4*c = 5*b + a, -2*b - 5*c - 37 = -6*b. Sort -5, -3, 4, b.\nAnswer: -5, -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579040 and 30027360?\nAnswer: 210191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53704a97 - 3?\nAnswer: -53704a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/60 - h**5\/2 + 21*h**4\/4 - 27*h**3 + 2*h**2 - 326*h. Solve d(u) = 0 for u.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(d**2 - 2*d**2 + 2 - d**2) - 8*d - 4*d**3 + 8*d.\nAnswer: -2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231993*r = 232010*r - 1256079. List the prime factors of r.\nAnswer: 3, 11, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**2 + 45*c**2 - 136*c**2 - 15*c + 46*c**2.\nAnswer: -c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 7*k + 4. Let q(x) = -12*x**2 - 13*x + 11. Let d(w) = -5*w**2 - 5*w + 5. Let p(s) = -7*d(s) + 3*q(s). Determine 3*c(h) + 5*p(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*i**3 - 1174*i**3 + 288*i**3 + 309*i**3 + 291*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 + -82. Let p = b + -23. Factor 98*r**3 - 31*r**2 - 2 - 6 - p*r - 11*r**2.\nAnswer: 2*(r - 1)*(7*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -8*b**2\/21 + 2*b\/3 + 4\/21 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0627 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 410, 1635, 3694, 6605, 10386?\n\"Answer: 3*a**3 + 399*a**2 + 7*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 54. Suppose -11*m + 7 = -4. Let d = m - -15. What is the lowest common multiple of b(d) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 617869.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + s - 2*s)*(-3*s - s**3 + 3*s) + (-188*s + 188*s - 12*s**2)*(-s**2 + 2*s + 3*s**2 - 4*s))*(-1 + 4 - 1).\nAnswer: -46*s**4 + 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 = 1137*i + 2089 + 2119 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*h**3 - 9*h - 2731 wrt h?\nAnswer: -195*h**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 17*p + 15. Suppose -4*v = -3*z - 3*v + 88, -3*z + 2*v + 83 = 0. Let x = 19 - z. List the prime factors of g(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 23. Suppose -i - 7 = 3*f + i, -f - 3*i - o = 0. Let v(h) be the third derivative of h**5\/30 + h**4\/24 + 67*h**2. What is v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10) - (585\/770 + 30\/(-55))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 13*v + 16. Let j be s(-11). Let i = j + 7. Let f be (i - 24385\/(-15))*3750. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/4 - 95175*u**3\/2 + 9058280625*u**2\/4 = 0.\nAnswer: 0, 95175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12132, -24234, -36332, -48420, -60492?\nAnswer: -72542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 - 7. Let b be v(0). Let y be (-3)\/(b + 4)*-25. Let w = 18 - y. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 351.8241 + -352. What is b rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.114, -5, 55, 3\/44, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140 and -5.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 2) + (-25 - (-7 + -12)) + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140060553 and 6096.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 239*h**2\/3 + 17582*h\/3.\nAnswer: -h*(h - 298)*(h + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4*x - x)*(7 - 2 - 3) - 5*x + 2*x - 8*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = f. Suppose -173 = -2*j + c + 150, 165 = j + f*c. Suppose -3*i - 11 = 2*m - 119, 3*m = 3*i + j. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 33 = 20*a. Let v(l) = 31*l**3 - l**2 + 6*l + 1. Is v(a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:51 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -44*f**3 - 5*f - 4. Let g be i(-1). Suppose 5*x + 173 = -4*t, t + g = -5*x - 137. Which is bigger: -39 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 - -0.14. Round q to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**2 + 1636220*j - 133860794420 = 0?\nAnswer: 163622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2271816 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62666092.\nAnswer: 2, 15666523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -311 or -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 73 = -h. Let p = -97 + h. Let 0 - 8\/5*u**2 - 4\/5*u - 4\/5*u**p = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-99))\/((17080\/(-671))\/20)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-5 + (-10 - -31)) - (-3 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28891)\/3633 - (-2 + -5 + -1).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227859400 divided by 57950?\nAnswer: -3932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6843830 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.9531kg to milligrams.\nAnswer: 29953100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*i - d - 3*d = 83 + 191, 115*i + 33 = 111*i - 5*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7294 - -7841.7. Let h = -547.73311 + n. What is h rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89582981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20 + -17 + 1*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 8, 2*q - u = 4. Calculate the remainder when 22 is divided by 3*q + (-30)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23\/2, -4\/9, -2\/11, 0.1, 0.5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77572*o + 113091 = -76813*o for o.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-33)*-12 + 3\/11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 5*s + 6. Let u be i(4). Suppose 2*v - 4*t = -u, 0 = 5*v - 4*t - 7 - 0. What is the third derivative of -2*a**4 - 5*a - v*a**2 + a + 4*a wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 0, 0 = 5*m + 3*v - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5166 and 145\/24.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + -795 + 816 + (-11 - (-1 + -1))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12749, -12746, -12741, -12734, -12725?\n\"Answer: x**2 - 12750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 - 242*r\/5 - 241\/5 = 0 for r.\nAnswer: -241, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**5*c)\/c)\/c**4)\/(c\/(c\/((c\/(c\/(c**(2\/3)\/c)*c))\/c))*c*(c*c**(1\/3)\/c)\/c) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-3)\/2*4. Suppose 5*b - 2 = t*b. Suppose -3*k + 2*f + 8 = 0, -3*k = -5*k + 3*f + 7. Sort -4, k, b in descending order.\nAnswer: k, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3 + 552*q**2 - 50784*q + 1557376 = 0?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12684 = 37*w - 156688. What are the prime factors of w?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 20 + 57 - 20 - 108*f - 2*f**2 - 18 as j*f + b*f**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 32 = -19*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (13 - (32 - (12 + -18 + 23)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11696 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222212 (base 3) to base 6.\nAnswer: -42552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 392.159 to the nearest integer.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*g + g = 22, 3*b + 3*g = -27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikzivkzzkiiizzzi. What is prob of picking 3 i and 1 z?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -12. Let o = t + -30. Suppose 0*d = -2*d + o. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2792 = -226*u - 1968 - 1794 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 92737081 to the nearest ten thousand.\nAnswer: 92740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(6\/15) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40163 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:54 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 188 = -18*q. Let j = -7 + 11. Let i be -55*j*2\/(-10). Calculate the greatest common factor of q and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) -2\/3 (c) 1\/6 (d) 158 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(3\/3*-2). Let q = u - 4. Is -2 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-588))\/(39\/54) - (-335)\/65*5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 21. Suppose 3*k - 54 = -o. Solve -2*y - 31 = -k*p, 15 = 3*p - 0*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z*z\/(z\/(z\/(z\/z**5)))*(z**(-2\/5))**(-1\/8) assuming z is positive.\nAnswer: z**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000080312 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*-4 + -5 + 0 + sqrt(1694)\/sqrt(2) + (sqrt(336)\/sqrt(6))\/sqrt(8))*-3.\nAnswer: -96*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:10 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.2 (c) -0.5 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 - (-392)\/(-42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/((-1)\/36))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 5:36 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818456 rounded to the nearest 1000?\nAnswer: 1818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(605) + 2*sqrt(605))**2*-6.\nAnswer: 65340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69356.28 milligrams to kilograms.\nAnswer: 0.06935628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 + 7*r + 13. Let j be c(-4). Suppose i = j - 0. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let b be 0\/(-1) + 1 + 1680\/(-1456). Let p = 1.3 - -3.7. What is the nearest to -2 in b, v, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - ((sqrt(68) - (1 + sqrt(68) + sqrt(68) - sqrt(68))) + 5 - sqrt(68))**2.\nAnswer: -84 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 46. Suppose -18 = -0*r - 5*r + 3*j, 0 = 3*j - 12. Let f be u(r). Put -4, -3, f, 0.1 in ascending order.\nAnswer: -4, -3, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658 - -675. What is the remainder when 678 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5357 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002487 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -424 - -423.8. What is the biggest value in b, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*r - 100 = 0, 0 = -t - 3*r - 110 + 125. Calculate the remainder when 2985 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1270 + 1857. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) 2 (c) -6793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let f(o) be the second derivative of o**6\/144 + o**5\/120 + o**4\/3 - 11*o. Let a(t) be the third derivative of f(t). Give a(p) + 4*h(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -453 - -455. Solve -4*z = -7 - 1, 2 = -c*i - 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 134. Let c(p) = -p + 133. Let b(d) = -5*c(d) + 6*g(d). What is the units digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - g + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 254 = -35. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 7*g + 156 - 228 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418\/2717 - (-2694)\/(-26)*(-4 - -1) is divided by 139?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10624054 + 1412?\nAnswer: 10625466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 57 = 2*n, -4*n + 3*o = -2*n - 51. Factor -4*d**4 - 84*d**3 - 36*d**2 + 30*d**3 + n*d**3.\nAnswer: -4*d**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855533201539 + -14?\nAnswer: 1855533201525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 33*q**2 + q - 1. Calculate the remainder when z(1) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75\/4 + 379\/20. Which is the fourth biggest value? (a) g (b) 2\/7 (c) 5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/12*r**4 - 3*r**2 + 0 + 1\/60*r**5 + 0*r + 1\/6*r**3. Factor z(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12) - (-10 - 945\/(-30)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 12*n + 1. What is k(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(498\/(-45)*(-1500)\/1200)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 442184, 884247, 1326190, 1768013, 2209716, 2651299, 3092762?\n\"Answer: -60*f**2 + 442243*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110001100101111110 - -1?\nAnswer: 111110001100101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d**4 + d**2 - 3*d + 6*d**2 + 0*d**4 in the form t*d**3 + j*d**2 + v + k*d + w*d**4 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1653237, 1653300, 1653363?\nAnswer: 1653426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-66))\/((-13)\/(-143))*141\/(-9)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3162 (base 14) to base 6.\nAnswer: 103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - 7*o**4\/24 + o**3\/6 + 43*o**2 - 3*o - 25. Let s(g) = g**2 - 6*g + 6. Let v be s(6). Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 207*n + 542. Give f(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, p: 4, z: 1}. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 199044821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 16 = -25*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/15 + (-5)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860408776 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let m(l) be the third derivative of -61*l**5\/60 + l**3\/6 - 10*l**2 + 44*l. Calculate m(f(v)).\nAnswer: -61*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780583 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 664248522*u**5 - 2629103*u - 28?\nAnswer: 13284970440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 - -148. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105815039*t**3 - 196*t - 719 wrt t?\nAnswer: -634890234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3475, -3470, -3463, -3454?\nAnswer: -3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 48*u**3.\nAnswer: 2*u**3*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -150?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2500950097 and 0.06.\nAnswer: 2500950097.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 350.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -43*t**2 + 2*t. Let q(i) = -2*i**2 - 2*i - 1. Let r(h) = 45*h**2 + 50*h + 25. Let c(g) = -25*q(g) - r(g). Give p(c(a)).\nAnswer: -1075*a**4 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3 - 3195*x**2 + 3192*x = 0.\nAnswer: 0, 1, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*(4 + 5)\/(-1). Differentiate -h*q - 10*q + 8 - 9*q with respect to q.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 259418241 and 276890.\nAnswer: 2594182410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 290932 = -2*w + 2575717, 3*w - 3427177 = o. Suppose 4*y - 6*s + w = -8*s, -2*y - 571208 = -2*s. Round y to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbpbppppbnpppb. What is prob of picking 1 n and 2 b?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddidiiiiidiiii. Give prob of picking 1 d and 3 i.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 0.5 (b) -4 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65497?\nAnswer: 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1058.\nAnswer: 23276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136088 and 37512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886619?\nAnswer: 3, 1628873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4257 + -2702. Suppose 0 = -19*f + r + 7318. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16026 (base 8) to base 10\nAnswer: -7190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2*a**4 - 3*a**4 + 6*a**4) + 3042*a**2 - 3042*a**2 - 21*a**4 - 3*a**4 + 2*a**4 + 3*a**4.\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1188 = l, -2*l - 4*j - 569 = -2927. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, s: 2, h: 1, b: 2, j: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*a + 16, -5*r + 2*a - 22 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 3}. Give prob of sequence kk.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 5. Let f(a) = -a + 2. Suppose -4*m - 2*r + 30 = 0, -109*m + r - 35 = -113*m. Calculate m*f(s) + 4*o(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -645367 * 0.1.\nAnswer: -64536.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 426*k**2 + 100*k**2 + 414*k**2 + 3*k + 15.\nAnswer: 940*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/4? (a) 1 (b) 0.3 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.84 + -0.16. Let q = -37 + 53. Let z = 17 - q. Is z >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*s - 6 = 0, -2*n - n - 14 = -4*s. Let g be (-7)\/(-2) - (4 - n). Let j = 1.29 - 1.09. Which is the second biggest value? (a) 1\/6 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {j: 1, k: 1, b: 1, v: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 1\/6, 4, -7123, 4\/9, 17, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 2, x: 4}. What is prob of picking 3 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4\/7 - 1\/7*z**2 = 0. What is z?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*c. Suppose p = -4*h + 4*p - 3, c = 3*h - 3*p. What is the remainder when 8 + 4\/(-6)*h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 12 = 0. What is the lowest common multiple of (-65)\/(-4) - 6\/24 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n. Suppose -2*a - 3*q = -41, 2*a = -q - n*q + 31. What is the greatest common factor of a and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*l - 4 = 0, 39*t - 43*t + 3*l = 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359894149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((5590150\/20)\/(-23))\/((-35)\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015599069 rounded to four decimal places?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -13*m + 15. What is the nearest to 1 in -5, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-4)\/4*(-42)\/224?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x**3 - x + x + 743*x**3 - 574*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w + 120, -3*o - 4*w + 20 + 69 = 0. Suppose 0 = -o*s + 30*s + 20. Suppose -4*j + s*z - 5*z + 1522 = 0, 5*j - 2*z = 1896. Does 48 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**2 + 4. Let k(c) = -3*c**2 + 1. Let o(m) = -m**2 - 8*m + 4. Let h be o(-8). Give h*d(b) - 14*k(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-42) - 485115\/(-3465). Let h = 140 - s. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 10*f + 4*j - 9 = 0, -5*j = -f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 533260, 534349, 535438?\n\"Answer: 1089*q + 532171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-126) - 8932\/(-99). Calculate the highest common factor of 945 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.78 (b) -15\/11 (c) -31 (d) 0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.5 (b) 1\/5 (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -806*j**4 - 4*j + 2726 wrt j?\nAnswer: -3224*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(13 - 1). Let b(p) = p**3 - 6*p**2 + 8*p - 1. What is the remainder when b(s) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -184.\nAnswer: -5\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 22 = 5*b. Does 5 divide 10 - (b\/(-3) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -39*q + 35*q - 0*s - 188, -16*s = -5*q - 277 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377 divided by -5568.\nAnswer: 13\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3128742267 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 19*r**2 + 3*r**2 + 11*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.9445l?\nAnswer: 45944.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/((sqrt(500) - sqrt(20) - sqrt(5)) + sqrt(5)))\/(2*(sqrt(324) - (sqrt(324) + 2*sqrt(324)))).\nAnswer: -sqrt(11)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/13444 or -1?\nAnswer: -1\/13444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -35. Let n = x + 4. Let y = -5.4 - -1.4. Put y, -1\/3, n in ascending order.\nAnswer: y, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -26. Suppose -s*l = -q + 9, 0*l + 2*l = -3*q + 10. Solve 2*b - 10 = q*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28486.4 litres in millilitres?\nAnswer: 28486400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 9?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89\/4 - -275\/12. Factor 0*i + 0*i**4 + 0 + 0*i**2 - 2\/3*i**3 + x*i**5.\nAnswer: 2*i**3*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.5. Let p be ((-176)\/44)\/(4\/178*-3). Let z = 60 - p. Which is the nearest to z? (a) 1\/3 (b) 1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 3*q - 2. Let l(y) = y**2 - y. Let a(c) = -j(c) + 6*l(c). Calculate the remainder when a(11) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 144 = 31*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 1. Let p = 0 + 5. Let x be a(p). What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4747, -3, -2, -4, -393, -5 in ascending order.\nAnswer: -4747, -393, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5162 in -18, -5, -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*s + 4 - 1, -2*q = s + 1. Suppose 8*g - 40 = -q*g. Calculate the remainder when 34 is divided by 276\/20 + 1\/g - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/12 + 7*q**3\/6 + q**2 - 10*q. What is b(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4282*f + 1315*f - 2897 - 3841*f wrt f.\nAnswer: -6808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/7 + 17*a\/7 - 18\/7 = 0?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 divided by -10?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/1)\/(458\/(-687))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68942902 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + 0 - 460404\/(-145) - (-2)\/(-10) is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2051323, 2051317, 2051307, 2051293, 2051275?\nAnswer: 2051253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = 2*c + 955. Let j be 4\/(-10)*(-6 + 1). Differentiate -2 + c - 2*g - j*g + 11 wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 765935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -63826 (base 9) to base 12\nAnswer: -20529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.4059 centuries in decades?\nAnswer: 4204.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1767 - 864. What are the prime factors of j?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 320*u**3 + 6072*u**2 + 13120*u + 6724.\nAnswer: 4*(u - 41)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*x - 10, -x = 29*q - 31*q - 4. Solve a - 8*a + 14 = x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 0.064205?\nAnswer: 0.164205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 899 and -4.\nAnswer: -3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*a - g, -4*a + 0*a - 5*g = -23. Let v(t) = 2*t**3 - 3*t**2 + 4*t - 2. Calculate v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15930 not equal to -15870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*j + 28. Suppose 0 = -2*y + 3*u + 747, -j*y - u + 3*u = -1895. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7053139 is divided by 390?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 - 7*v**3 - 8*v + 22*v**3.\nAnswer: 4*v**3 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -111*8*10\/240. Sort i, -2, 5, -1 in ascending order.\nAnswer: i, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*c**2 + 1 - 187*c**2 - c**3.\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 9. Let d be v(4). Let y = 121 - d. Solve -y - 6 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71888 is divided by 266.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4342*f + 4625*f + 8773 = 0 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 7. Let k(r) = -r - 8. Let l(s) = 5*k(s) - 6*w(s). Let d be l(0). Solve u = -0 - d, -3*t + 4 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let v(u) = 4*u**2 - 2*u + 1. What is 2*s(t) - v(t)?\nAnswer: -4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -31. Calculate the remainder when j is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3354275092 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26fd (base 16) in base 10?\nAnswer: -9981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6555, -9, -1 in increasing order.\nAnswer: -6555, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -197455 (base 10) in base 3?\nAnswer: -101000212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-3 + 0\/(-3)). Let j(y) = y**2 + 13*y + 20. Let f be j(q). Suppose 2*s - f = s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 9\/5, 2\/17, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -2)*27\/(-27). Suppose -11*i + s*j = -12*i + 763, -3*j - 2229 = -3*i. List the prime factors of i.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1224, -4, 3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {x: 1, k: 1, u: 2, a: 1, b: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(0 + (-1 + sqrt(272) - sqrt(272)) + sqrt(272) - 1*2*sqrt(272) - (-4 + sqrt(272)*-2 - (2 + (sqrt(272) + -1 - sqrt(272)))))**2*4.\nAnswer: -1152 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1340790 divided by -10\nAnswer: 134079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (4 - 5) + 3. Let n(x) = -x**2 - 47*x + 39*x + 42 + f*x**2. Calculate the remainder when n(13) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + p**3 + 0*p**2 + 22*p**3 + 19*p**3 - 35*p**3 + (2*p**2 + 3 - 3)*(-p - p + p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxmxmmxmxmmxxxm. What is prob of picking 2 m and 2 x?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**23*h*h)*h)\/((h\/(h*h**(-3\/16))*h)\/h) assuming h is positive.\nAnswer: h**(-371\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1488875 and 16856?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70335 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 30*w**2 + 1 - 15*w**2 + 1 - 33*w**2. Let c(j) = -j - 23. Let u be c(-22). Give x(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107409, 107408, 107407?\n\"Answer: -q + 107410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -2\/5 (c) 1 (d) 16 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -808, -807, -796, -769, -720, -643, -532?\n\"Answer: x**3 - x**2 - 3*x - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.15. Let f = -152.95 - -153. Let h = n - f. Which is the closest to 0? (a) -1 (b) h (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1286 divided by 6\nAnswer: 643\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 4*b - 1. Let t = -20 + 17. Let i be (0 - (t + 0)) + -8. Let a be m(i). Put 9, a, 2 in descending order.\nAnswer: 9, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 + 20*z**3\/3 - 19*z**2\/2 + 4*z + 12. What is the remainder when 12 is divided by s(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 18*j**3 + 15*j**3 - 25*j**3 - 24*j**2 as o + x*j**3 + q*j + b*j**2 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 58*x**2. Let v(b) = -2328006*b**2. What is v(m(f))?\nAnswer: -7831412184*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -29*d**2 + 7*d + 27. Let s be w(7). What is s rounded to the nearest 10?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 968562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 122 - 120 + 237 = -2*h, -h - 18*q - 90 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (sqrt(480)*4 + sqrt(480)))\/sqrt(12))\/(sqrt(96)\/sqrt(48)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 627.\nAnswer: 4\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.442 meters in millimeters?\nAnswer: 532442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33201998*c**4 + 10*c + 24441 wrt c.\nAnswer: -398423976*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 2*m, 6*u - 3 = u - 3*m. Let x be (-40)\/(-45)*72\/16. Suppose -2 = -o + u, 200 = x*p + 4*o. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*w**4 + 26*w + 13?\nAnswer: 552*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8051386 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -102*k**2 - 3422*k - 12067. Determine r(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 35*c + 6*c + 9*c + 11*c + 2*c.\nAnswer: -7*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 192*u**3 + 4756*u**2 - 23568*u + 32922.\nAnswer: 2*(u - 59)*(u - 31)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 16*k**2 + 16*k + 18. Let w be q(-15). Suppose 137 = t + 2*s - 225, w*t - 1089 = -5*s. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 25. Suppose m*d - 61*d = -2. Solve 3*w - 5 = -d*x, 4*w + 7 = 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 186 = 156. Calculate the least common multiple of j and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - (7 + -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjqojqii. What is prob of sequence joi?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 2*d**4 + d**4 - 3*d**2 + 3*d**2 - 2*d**4 + (3 - 2 + 0)*(0*d**4 - d**4 + 0*d**4) - 2*d**4 + 3*d**4 - 2*d**4 + 3*d**4 - 2*d**4 - 3*d**4.\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 738266.4ml?\nAnswer: 738.2664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 11*d - 237. Let j be g(11). Solve -4*w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*((s\/(((s*s*(s\/(((s*(s**(-2\/15)*s)\/s)\/s)\/s))\/s*s)\/s)\/s))\/s)\/s)))**(-3\/41)*(s\/(((s\/(s**(2\/9)*s*s))\/s)\/s))**(10\/13) assuming s is positive.\nAnswer: s**(81644\/23985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + d**2 - d + 1. Let j(k) = k**3 - 2*k**2 + 4*k - 2. Let n(p) = p - 16. Suppose 8*g + 4*g - 204 = 0. Let b be n(g). Give b*j(r) + 2*u(r).\nAnswer: 3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -98.042\nAnswer: -39.2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52281938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 573000 (base 9) to base 5\nAnswer: 41441414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 923 - 123. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21001484 + -15?\nAnswer: -21001499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - 0.2. Let b = -2 + 5. Let d = 0 - b. Sort 4, u, d.\nAnswer: d, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4\/7 (b) 5 (c) 9\/248 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 165948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(12\/14)\/3. Let k = 0.2 + -0.1. Let z = 5.18 + -0.18. Put c, k, z in ascending order.\nAnswer: c, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 697?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146.8100101803 - -146.81. Round a to seven dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7380 and 11010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -13. Let p = 1 + o. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7715509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64269, 64276, 64289, 64308, 64333?\n\"Answer: 3*b**2 - 2*b + 64268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-72)\/3150)\/(((-4)\/90*-3)\/(-2))\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/56*160\/(-1100)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*a - 4, 0 = -0*b + 3*b - 5*a + 6. Let y be (-2)\/8 + b\/(-8). Is -2 - (2 - y - 91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -20, 1032 in descending order.\nAnswer: 1032, 32, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1054172, -4216877, -9488052, -16867697, -26355812, -37952397?\n\"Answer: -1054235*c**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(68)\/(sqrt(4) + sqrt(16)) + sqrt(51)\/(sqrt(6)\/sqrt(2)))*1)**2.\nAnswer: 16*sqrt(17)\/3 + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/34230 and -77\/489000.\nAnswer: 3423000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 - 65. Let v = 345 + k. Solve 4*w + 19 = 5*n, 4*n = -v*w + 2*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/5*(-1 - 4). Let h(u) = u - 3*u + 3*u - 2. Let n(z) = 4*z + 3 - 3*z - 2*z. Calculate q*n(y) + 6*h(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215004 and 12374.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-138)\/(-33) + (-2)\/11. Suppose 13 = -5*n + v*y, n - 3*y = -0*n - 7. Is -1 + (n - -3) - -35 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19995192 divided by -1666266\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15302362 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*k*t**2 + 5*k*t + 19*k + t**2 + 1846*t - 3 wrt k.\nAnswer: -19*t**2 + 5*t + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-615)\/90 + 7 + (-438)\/36. Let v(p) = -8*p - 105. Calculate v(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 34 = 5*r, -5*r + 4*j = -12 - 1. Suppose 4*l + r*h + 25 = -61, 3*h = 5*l + 126. Let f = l + 41. Calculate the remainder when 100 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -865295*y**2 - 217*y**3 - 800*y**3 + 82 + 865299*y**2 wrt y?\nAnswer: -6102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13116100 to the nearest integer?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l. Let y(m) = -2*m**2 + 3*m. Let i(w) = 8*w**2 - 13*w. Let v(u) = 6*i(u) + 26*y(u). What is d(v(q))?\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 5*m**3\/6 - m**2 + 2*m - 14. Determine z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1\/o)**(4\/31)\/((o*o**(-6))\/(o*(o**2*o)\/o)))**(-46))**(3\/19) assuming o is positive.\nAnswer: o**(-1104\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 15, 42, 79, 126?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 4020 = 22*b. What is the remainder when b is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -1667, -4, -6, 3 in descending order.\nAnswer: 5, 3, 1, -4, -6, -1667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8899*x - 330. Let v(p) = 989*p - 36. Calculate -6*o(t) + 55*v(t).\nAnswer: 1001*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 11) to base 14\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 2112?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3) + 1 + -1))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70379 + -43058. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -97 + 453. Suppose -w*j = -88*j - 10. Solve -j*r = -6*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/3*276\/42. Let g be (u\/(-4))\/(16\/(-32)). Let r = g + -10. Solve -w = -5*h + 24, r = h - 2*w + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 17*t + 73. Let h be x(7). Let q be (-1532)\/(-20) + (24\/10 - h). Calculate the greatest common divisor of 190 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1276 and 5038.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + ((-3)\/(-6))\/(2\/(-8)). Suppose 0 = -f*a - a + 8. Solve -a = 2*g - 0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 7:33 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 + -2 + 1)*1 and -1 + 6 - (-2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 390973.799882 + -390939.8. Let y = -5 + 39. Let p = y - x. What is p rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7411 is divided by 149?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1 - (3 - 2). Let b be (0 - (-7 - -6)) + -3 + 26. Let s = b + i. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 140. Let n be 96\/7 + 6\/21. Calculate the greatest common divisor of l and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11261, 11326, 11383, 11432?\n\"Answer: -4*m**2 + 77*m + 11188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 greater than or equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {k: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -891 (b) -1 (c) 757 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1457 and 12925.\nAnswer: 400675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 7*s + 5*d + 19, 4*d = -12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 2*f**4 + 28 + f + 9*f**2 - 7*f**2 - 44*f**4 to q + m*f**2 + k*f**3 + c*f**4 + g*f and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59.97611 days?\nAnswer: 1439.42664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*t - 17 = 0, 6*t = -2*s + 11*t + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 2002*d - 8865496\/5.\nAnswer: -(d + 982)*(d + 9028)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -21*m**3 - 8*m - 34. Let t(u) = -32*u**3 - 12*u - 52. What is -8*r(w) + 5*t(w)?\nAnswer: 8*w**3 + 4*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjss when four letters picked without replacement from {j: 13, s: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 504090, 1008165, 1512240, 2016315, 2520390, 3024465?\n\"Answer: 504075*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*x**4 + 831*x**3 - 280*x**3 - 275*x**3 - 278*x**3 + 3*x - 2*x to the form l*x**2 + p*x**3 + q + f*x + w*x**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-88))\/(2\/4*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-30)\/i)\/(i*i\/(i\/(i**(-6)*i*i))) assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3017798 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.984262 centuries?\nAnswer: 9.84262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose -g - 1 = -2*d. Let q be 14\/(-1764)*-21*0. Solve q = d*n + n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1962 and -437.34.\nAnswer: 1524.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10242 + -4322121?\nAnswer: -4311324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2459.041 + 2443.4. Round x to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j = 0, g + 0*j = 2*j + 8. Suppose -g*l + 3*l = 2*b - 9, 0 = 4*l - 5*b + 24. Let r(a) = -3*a**2 + 2*a + 1. What is r(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -878*d**2 - 4030 wrt d.\nAnswer: -1756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15326*n + 1287381. Calculate o(84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.824832l?\nAnswer: 5824.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13621775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let c(w) = w**2. Let u be c(i). Solve 0 = -4*b + 4*n - 28, 2*b + 2*b + u*n - 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80586 and 9768?\nAnswer: 322344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1747133 + 13.6315.\nAnswer: -1747119.3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkaemmkkrre. What is prob of sequence rmkk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 - t + 1283. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 253. Suppose -5*u + 4*u = -5*h - 38, y = 4*h + 20. Solve -u = 2*l + 5*j, 0 = 2*l - j + 2 + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(125\/(-30))*2\/8. What is the closest to 3 in -0.4, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2320 divided by 580.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6716 and 20700.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -30*j - 2. Let u(c) = 15*c + 1. What is -4*i(a) - 7*u(a)?\nAnswer: 15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 558?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -14, -2, -2\/7 in ascending order.\nAnswer: -14, -2, -2\/7, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5788.033 centuries?\nAnswer: 578.8033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 961484 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1680 and 348.\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 10010011000111101000100?\nAnswer: 10010011000111100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41545797 divided by -31\nAnswer: -1340187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*4\/(-24)*-6. Let b(y) = 9*y**2 + 0*y + 4*y - 3*y**r - 4 + 0. Calculate the remainder when b(2) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -0.1, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:12 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*3*((1 + sqrt(2299) + 1)**2 - 1*sqrt(2299)*1) + 3.\nAnswer: -27633 - 396*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + 125\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 21*x**2 - 22*x + 4. Give g(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3) + -15 + (-264)\/(-18). Solve -c + 2 = f*d, -5*c - 3 = -5*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f + 586. Let w be q(-45). Is 7\/23 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 331, -23, -1, -3, 1 in increasing order.\nAnswer: -23, -3, -1, 1, 2, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 560\/7*-4*4\/(-200)*75\/15\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*k)*(-1 + 3 - 1)*((-3*k - 3*k + 4*k)*(1 + 2 + 2) + k + 0*k - 3*k) in the form x + q*k + w*k**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:53 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let j(s) = -11 + 5*s**2 + 2*s**2 - 31. Let y(g) = -1. Let r(z) = j(z) - 42*y(z). Determine r(l(p)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*z + 1. Suppose -2*s = -7*s + z. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - z - 802, -7*n + 396 = -5*n + 2*z. Suppose 4*x = 4*k + 172, -x + n = 4*x - 2*k. What is the remainder when 148 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3056 - 3467 - 9373 = -1987*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(8 - 69) - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6575 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*j**2 - 41*j**2 + 14*j**2)*(-1 + 3 - 3) + j**2 + j**2 - 4*j**2 as i + d*j**2 + s*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2230337993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.94 and -72.63.\nAnswer: 68.2722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + -11 + ((-110)\/16)\/(-5). Let l = 1 - -2. What is the closest to 2\/9 in l, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74973 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 3, k: 3, y: 1, f: 1, s: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674 + -671. Solve -x + s + 3 = 4*z, 3*z - 12 = 3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(54\/(-30) + 1). Solve 3*g = 5*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 17 + -20 + -8 + 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a68 (base 15) in base 3?\nAnswer: 110110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-43)*t))**(-1\/5)\/(t**24*t**(-35)))**(-1\/23) assuming t is positive.\nAnswer: t**(-12\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/19 - 14418*m**2\/19 - 3156766*m\/19 - 3142350\/19 = 0.\nAnswer: -6983, -225, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 406686 divided by 9683\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -104*p**5\/7 + 502*p**4\/7 - 220*p**3\/7 - 1000*p**2\/7 - 156*p\/7 + 18\/7 = 0.\nAnswer: -1, -1\/4, 1\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 95. Let b(y) = y**2. Calculate b(m(d)).\nAnswer: 9*d**2 + 570*d + 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -2\/15 (b) -2 (c) 5503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 11 (b) 69\/8 (c) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/6 - 2*i**2 - 2*i. Let l be u(7). Suppose 0 = -l*t + t + 8. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565113599 is divided by 760.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97 and -1860?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -45, -69, -93?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccqc when four letters picked without replacement from zzqczzzczzzczc.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96461690363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.52 + 0.02. Let z = -4.4 + -1.6. Let o = z - -8. What is the closest to -1 in -5, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/24 + 5*j**3\/6 - 3*j**2. Let b be y(0). Solve -5*q - f + 6*f = 0, -4*f = b*q + 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + -1.46. Let f = t - -0.82. Let u = -0.28 - f. Sort u, -3, -2 in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/3) - (-17 + 9). Suppose -10*t + f*t = 190. Let w = t + 50. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -338.76 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*x = 3*i - 164, -12 = 3*x. Let h = i - -26. Suppose -5*g = -6 - h. Calculate the smallest common multiple of 2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3855572634 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 12}. Give prob of picking 3 y and 1 p.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3, -9*i + 7*i = 2*u - 4. What is the smallest common multiple of i and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 131 - 19. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8340 by -7.\nAnswer: 8340\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-120) + (-2 - (-14)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 26. Calculate q(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -1 + -3*(sqrt(833) + 2) + sqrt(833) + 1 + 2.\nAnswer: -14*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17130 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -0*g - 3*g + 3*m, m = -g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -148*a**2 - 3427*a - 55. Determine i(-22).\nAnswer: 3707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, x: 5, d: 1}. Give prob of picking 3 e and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 + -165. Let i(s) = s**2 + 14*s + 14. Is 7 a factor of i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71075657?\nAnswer: 17, 4180921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.4724 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away -12.5?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - (-2 - -1 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22791420 to the power of 1\/2, to the nearest integer?\nAnswer: 4774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 135*l**2 - 8*l + 6. Let z be p(1). What is the greatest common divisor of z and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. Let z be 1\/j + 3\/9. Solve 5*l - 2*l + 9 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6844 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 71*u + 45 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/130*15*10\/30\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (14 - (-459)\/(-34))\/((-3)\/(-5574)) is divided by 300?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 14*h + 86 = 0. Suppose y = -y + h. What is the highest common divisor of 43 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let i(w) = -89690*w**2. Give m(i(h)).\nAnswer: 179380*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -76. What is the highest common factor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**3\/3 + g**2 + g - 5. Let n(k) = -3*k**2 + 4*k + 1. Calculate -3*n(x) + 5*q(x).\nAnswer: -x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/117 and 119\/254826.\nAnswer: 254826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeieeeeeeee. Give prob of sequence ie.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikkkkiftf. Give prob of sequence ikt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g + 6. Let c(b) = -14*b - 13. Let t(d) = 2*c(d) + 5*q(d). Let a(z) = -z**3 - 35*z**2 + 36*z + 6. Let p be a(-36). Does 7 divide t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 250899 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1954*n. Let y(f) = -f**2 + 610*f. Calculate c(y(i)).\nAnswer: -1954*i**2 + 1191940*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92109, -184165, -276185, -368151, -460045?\nAnswer: -551849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 - (-120 - -132).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and -113\/170.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:38 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s*(s*s\/s**(-1\/5))\/s)\/s)**(-3\/16)*(s**(2\/5))**(-45) assuming s is positive.\nAnswer: s**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 5. Let h be m(-6). Suppose 5*a = 2*n + 13, 2*n + 0*a + h = a. Let c = n + 5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14904720 by -15240.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(2\/15)\/p)))\/p*p**(-4)*p)\/(p*p**1)**(1\/5) assuming p is positive.\nAnswer: p**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 45 = -o. Find the second derivative of -o*q**5 + 23*q**4 + 7*q - 23*q**4 wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 2*t + 9 = 0, 0 = -4121*l + 4119*l - 2*t - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 2*w + 7. Let d = 6 + -1. Give o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-2\/101)*((r*r**8*r)\/r)\/r**11 assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -402, -2\/1169, -6?\nAnswer: -2\/1169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5\/6, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -748a (base 11) in base 10?\nAnswer: -9899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102081, -203673, -304779, -405399, -505533, -605181, -704343?\n\"Answer: 243*c**2 - 102321*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 4213, 14219, 33721, 65887, 113885?\nAnswer: 180883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**7*o))\/(o*((o**(-5\/2)\/o)\/o*o)\/o)*(o*o**(-3\/7))\/o**(-6))**20)**(-11) assuming o is positive.\nAnswer: o**(-3190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 3*k. Let n = k - 5. Let i = n + 10. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -54. Suppose -s = -2*n - 0*n + a, 0 = n - 4*s - 13. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(2 - 12). Let n be 10\/(-20) + ((-35)\/2)\/k. Solve -n*z = -7*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(-2\/15)*g)*g**14)**(4\/11))**(-25) assuming g is positive.\nAnswer: g**(-4240\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 15*r - 102 = 0. What is the remainder when 31 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**3*v**2 + 22*c**3*v - 6*c**3 + 172*c**2*v**2 - 448*c**2 wrt c.\nAnswer: 30*v**2 + 132*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118929 divided by -197?\nAnswer: -118929\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26477 + -171156?\nAnswer: -142457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166667\/211 or -791?\nAnswer: -166667\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 61)*(-6 + 1377). Let w be (2\/1078)\/((-6)\/f). Let n = -1452\/49 - w. Calculate the common denominator of 7\/12 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.777 and 22292391.\nAnswer: 22292395.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-3)*18\/42.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -523, -562, -601, -640, -679, -718?\n\"Answer: -39*t - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -14*r - 3. Let y be n(-10). Suppose 4*g + s - y = 0, 85 = 3*g - g - 5*s. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q + 14*q + 36*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7186?\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -498ca - 5d?\nAnswer: -49949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 37*u - 38*u + 21*u. Let z(y) = 21*y. Give 3*m(v) - 4*z(v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 26815 = 22*l + 26001 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17905328*g**6 - 3*g**2 + 214755*g + 56?\nAnswer: -2148639360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:45 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286723424 to the nearest integer?\nAnswer: 16933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 56, 121, 212, 329?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 14 + (-7 - (-17 - -5)) - 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14637 divided by -6?\nAnswer: 4879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 168 - 164 + 15*r**2 to i*r + p*r**2 + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -50. Let l = 20 - s. Let o = l + 1. Which is smaller: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16855696?\nAnswer: 2, 11, 13, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72049536 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 0.4, -314313, -1\/4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 5, 1913 in descending order.\nAnswer: 1913, 153, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4810 + 57*y - 4810 - 235*y + 3201*y.\nAnswer: 3023*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1) + -1 - -2. Let l = 30 + -18. Let u be (4\/6)\/(92\/l). Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19550770 rounded to the nearest ten thousand?\nAnswer: 19550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -810840 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3\/98, -2\/25, 1.8, 0, -2\/7?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385028457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 22. What is the units digit of x(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -144, -291, -440, -591, -744?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209409 and 63075.\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702011*u - 702011*u + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 2.03. Let f = -1298 + 1324. What is the smallest value in f, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 2*q + 3. Let t be x(-5). Let s = t + 32. Suppose 0 = -5*h + 3*n + 52, -2*h + n + 21 = -0*h. Calculate the remainder when s is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301670793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -3 + ((-1 + (-3 + sqrt(5))**2)*-6 - (sqrt(45)*1 + -5))).\nAnswer: -198*sqrt(5) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 1, m: 1, o: 1, j: 2, h: 1}. What is prob of sequence mhhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + d = -21, 2*t - 6*d + d = -27. Let k(x) be the third derivative of -x**4\/8 - x**3 - 95*x**2. Give k(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 4. Let l be k(-8). Solve 8 + l*d + 14*d**2 + 14*d**2 - 24*d**2 = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2875 - 354. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1357 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -4170, -1 in ascending order.\nAnswer: -4170, -29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/102*32*3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -3322\nAnswer: -12\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (6 + -3 - (-3 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 7043 + 207. Suppose -4*d + 9 + 113 = -3*g, 4*d - 108 = -4*g. What is the highest common divisor of j and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 465 + -458. Let n(z) = 23*z**3 - 4*z**2 - 10*z - 2. Is n(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7863542*s**2 - s - 11. Let w be g(4). Let l = w - -168594375199\/1340. Let j = l + -406\/67. What is the common denominator of j and 115\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2124 - 775. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*d**4 + 78843*d**3\/4 - 1200099*d**2\/2 + 2922573*d - 16218 = 0.\nAnswer: 1\/180, 6, 34, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7449 - 7450.90016. Let r = d + 1.9. What is r rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -479, -481, -473, -449, -403?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 6*i + 1. Let y be n(-6). Let s be 10092\/(-480) - -21 - (-2)\/5. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2723, -3, 14, 0, 1, 27 in ascending order.\nAnswer: -3, 0, 1, 14, 27, 2723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 989199354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.5. Let h = 8 - -28. Let u = -34 + h. Which is the closest to 1? (a) -1\/9 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 - -15?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 17*k - 2558. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.97 - 25. Let y = -0.23 - v. Let j be ((-4)\/(-42))\/(4\/6). What is the second biggest value in y, j, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 6. What is the units digit of a(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6363 + -0.34?\nAnswer: 6362.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -45, -34, 10 in decreasing order.\nAnswer: 10, 1, -34, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2\/9, 1\/100, 6\/11, 0.1, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - -8 - (-1 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 2, -0.05.\nAnswer: -46, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -200*h + 202*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = 2*u. What is the common denominator of (-367)\/(-104) - u\/(-117) and -1\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7041 - 35204\/5. What is the closest to 0.1 in 0.124, o, 0.4?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -523 (c) 0.4 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 339 + -333. Suppose -4*g = -578 - 5774. Suppose -2*n - g = -d*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573121*m + 524324*m + 524467*m + 524331*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13074+-290.8\nAnswer: -13364.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/18 - 16\/12. Let b(f) = 4*f**3 - f**2 + 2*f - 2. Let d be b(i). Solve -d = h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-10)\/(-165)). Let d = 32 - w. Let x = -6 + d. Solve -x*i - 2 = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 4*i + 3, -2*k + 24 = -2*i. Let p = -6 - -9. Suppose 204 - 9 = p*n. What is the remainder when n is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9800*c**2 - 5598*c - 405226642 wrt c.\nAnswer: -19600*c - 5598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -5\/3, -0.5463?\nAnswer: -0.5463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3*t**2 - 2*t**2 + (2*t - t + 2*t)*(t - 4*t + t)*(0 - 1 + 2) as k + p*t + l*t**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/(8\/2)*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.459 * 0.002.\nAnswer: 0.000918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3777041\/616 - 42922\/7. Calculate the common denominator of 1\/682 and p.\nAnswer: 19096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0. Let b = -28.934 - 0.066. Let s = b - -26. What is the third biggest value in -4, d, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48 (b) -1\/8 (c) 26 (d) 1.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13.022, -0.64.\nAnswer: -5, -0.64, 13.022","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 39587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/((36 - 10) + -24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181522*t - 2*t**2 - 181522*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jko when three letters picked without replacement from kwwkovj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -2\/115 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -749379, -3 in descending order.\nAnswer: 12, -3, -749379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in 27\/10, 0, 1, -1\/9, 0.07?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**0)**(1\/38)\/(l\/(l**(6\/5)\/l)*l\/(l\/(l*l**(-4\/7)))) assuming l is positive.\nAnswer: l**(-782\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45.2106s?\nAnswer: 45210600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11780 less than or equal to -11795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -891 times -0.16?\nAnswer: 142.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93469 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 33 = -g, 0 = -k + 4*g + 55 - 33. Solve 5*z - 6 = l, -9*l + 4*l + 5*z - k = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125.1 - 152.1. What is the closest to g in 2\/7, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324*k**5 + 979*k wrt k.\nAnswer: -6480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-102)\/(-36) + (1 - -1). Let o be (4\/(-30))\/((-8)\/(-50)). What is the nearest to 1 in o, 6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8536360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 2146.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5268 (b) -1.8 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**4\/7 - 291*g**3\/7 - 135321*g**2\/7 - 933957*g\/7 - 798930\/7 = 0.\nAnswer: -165, -6, -1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7)\/((-8)\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 + t - 3. Let k be r(4). Suppose 0 = -n - 2*p + 15, -1 = -2*p + k. Calculate the highest common divisor of n and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**4 - 8*t**3 - 7*t**2 - 5*t - 5. Let b(o) = -2*o**4 + 4*o**3 + 4*o**2 + 2*o + 2. Let v(x) = -5*b(x) - 2*q(x). What is w in v(w) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743914.\nAnswer: 2, 871957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(7\/3)\/q*q)\/q**10)**(1\/9)*(q\/((q\/(q*((q**2\/q)\/q)\/q))\/q)*q*q\/(q**(-7)*q))**(-1\/3) assuming q is positive.\nAnswer: q**(-104\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -8.5?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151110447.\nAnswer: 3, 50370149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:30 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18)*v*(v**(-11)\/v*v)\/v assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9877971211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153.9 + -149.9. What is the biggest value in b, 0, -0.04, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*374\/68*(2\/9)\/2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-54))\/(70\/(-2610)) - 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -60*k**2 - 5*k + 49. Let b(x) = -59*x**2 - 6*x + 60. Let p(c) = -5*b(c) + 6*l(c). Let h(a) = -2*a. Calculate p(h(u)).\nAnswer: -260*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3780548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5432 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -71. Suppose -h = 2*r - 7*p + 2*p, -3*r - 10 = -4*p. Solve 24 = -2*y - 4*v, 10*y - 5*y - r*v + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142*o - 1116*o + 2 - 16*o**3 + 2258*o.\nAnswer: -16*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -70.8. Let s = 15 + u. Which is the second biggest value? (a) -0.5 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069883 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -28a081?\nAnswer: -28a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6622.0142 rounded to the nearest integer?\nAnswer: -6622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29406 less than -1003?\nAnswer: -30409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -634.4 - -634. Let p = 0.3 - 1.3. What is the closest to p in 3\/2, 3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2159*j + 2099*j + 3360 = 0. Suppose -2*v = -111 - 17. Calculate the highest common divisor of j and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, t: 6, j: 1, b: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8544945 seconds?\nAnswer: 854494500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j + w - 22, -2*j + 2*w + 22 = 0. Let i = 37 - 33. Calculate the smallest common multiple of i and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 2*w**2 - 2*w. Let g be d(2). Suppose o - 2 = -3*c, 5*o + 5*c + 15 = -5. Let t = g - o. Solve u - t*h + 21 = 6*u, -4*u - 3*h + 18 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418834 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 4 - 4 + (-3 + 4 + 0)*(-m**2 + 2*m**2 - 2*m**2) + 5*m**2 - 2*m**2 - 4*m**2 to the form v*m**2 + o + q*m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 19 (c) -1\/4 (d) 1 (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(9)\/(sqrt(3) - 1*sqrt(3)*-1) - (sqrt(48) + (sqrt(432)*-2 + sqrt(432))\/sqrt(9))**2).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41 * 2\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose m*n - 14 = -2*r, 8 = n + 3*n. What is the units digit of (-2)\/r*(0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -688 + 2422. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78657?\nAnswer: 3, 157, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/152 and -101\/12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*z)*(-2 + 3 + 0) + (z + 1 - 1)*(5 - 2 - 1) - 8*z + 3*z + 23*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiaiaiiiiiaii. What is prob of picking 2 i?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 1820 - 1835 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 512959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27656 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6257 or 2?\nAnswer: 6257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922 = 11*b - 860. What is the greatest common factor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 6, q + 4*x = 5*x - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14870817\/154 + -96563. What is the common denominator of j and 9\/176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:19 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**6\/60 - 3*p**5\/20 + p**4\/12 - 2*p**3 + 4*p**2. Let m be y(-5). Which is the second biggest value? (a) -3 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -184.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/((280\/(-8))\/175)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**28*w**(-2\/41)*(w\/(w\/w**(-22)))\/(w*w*(w*w*(w*w**11)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-371\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 6. Let o = -2 - -17. Suppose 5*s = s + 5*t + o, -3*t - 15 = -3*s. Solve -6*i + k*i = w + s, 0 = -4*i + 5*w - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t)\/(t**(-2\/27)\/t*t)*t*t*t*t**6*t*t**(2\/3) assuming t is positive.\nAnswer: t**(101\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*d - 3*d - 4 = 0, 8 = z + d. Suppose -z*j = -11 - 25. Let l(i) = i - 1. Let k(s) = 7*s - 2. Calculate j*l(m) - k(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17135623*o**3 + 8567918*o**3 + 8567732*o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzmm when four letters picked without replacement from {z: 2, w: 3, g: 6, k: 1, m: 2, v: 1}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -94, -82, -68, -52, -34?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 1811682821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*j - 2*j - 5*j + 2)*(-3 + 0 + 4) in the form f*j + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30674*l**3 - 30640*l**3 + 61261*l**3.\nAnswer: -53*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272628?\nAnswer: 2, 3, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:44 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 21 = -2*w. Let y(h) = -3*h**2 + 209*h - 13. Let f(k) = k**2 - 51*k - 1. Let t(i) = -4*f(i) - y(i). What is t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 4, -6\/11, -7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -6. Does 12 divide 7 + j + 27*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*j**2 + (-2 + 3*j - j + j)*(0 + 0 - j))*(4 - 10 + 0) to the form p + c*j**2 + d*j and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/187 and (-153)\/(-6) + 11 - 6?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:15 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 406*m + 20412. Determine n(92).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 2 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 3*k + k - 5*k + 2. Suppose -4*v - 4*w - 12 = -0*v, 2*w = -2. List the prime factors of z(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -0*c. Let a(o) be the third derivative of 1\/60*o**5 + 0*o + 4\/3*o**3 + c - 3*o**2 + 1\/24*o**4 - 1\/120*o**6. What is a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048579.\nAnswer: 13, 37, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 78) + -2371 + 2512?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -204000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -127. What is the first derivative of -x + 3*s + 7*s - 16*s + 7*s**3 wrt s?\nAnswer: 21*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72825*p**3 - 150444*p?\nAnswer: 436950*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 22. Let n(j) = j**2 + 6620*j - 2191352. Let t(x) = -6*h(x) - n(x). Factor t(i).\nAnswer: 5*(i - 662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a meter in centimeters?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((4\/(-12))\/(-1)). Suppose 5*t - 5*c - 30 = 0, 8 = -j*c - 8. Is ((-2)\/(-3))\/((-1)\/(-1173)*t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.8 - 121. Let u = x - -15. Which is the fourth smallest value? (a) u (b) -2 (c) -2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Let s = 32 - 26. What is the lowest common multiple of q and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) - (86\/(-44) - -2). Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*k**2*t - 31*k*t - 1201*t + 2 wrt k?\nAnswer: -58*k*t - 31*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 30. Suppose -47*h = 1060 - 261. Give u(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160541 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -621\/8 - -78. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(1\/27)*(w\/w**(-21))\/w**(-2))**(-44\/7) assuming w is positive.\nAnswer: w**(-28556\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7443 - 7485) + 1 + 116?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 19*u + 51*u**3 + 56*u**3 - 112*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.545067701132 + -1?\nAnswer: -0.454932298868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f - 9\/2*f**2 - 8 - 2\/3*f**3. Find the second derivative of i(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 41, -11, -61 in increasing order.\nAnswer: -61, -11, 41, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/90)\/((29\/((-580)\/480))\/10)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19499, -19476, -19437, -19382, -19311, -19224?\n\"Answer: 8*d**2 - d - 19506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458544 + -26779. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33595 is divided by 1203.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.3 + -49.802. Let c = 0.89 - a. What is c rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5865300*l - 5891898 wrt l?\nAnswer: -5865300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*k**2 - 18764838*g**3 + 14108030*g*k**3 wrt k.\nAnswer: 4*g**3*k + 42324090*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255829 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27016711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 + 691. Calculate the remainder when x is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 18, g: 1, a: 1}. Give prob of picking 1 y and 1 a.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2646174, -5292347, -7938520, -10584693, -13230866, -15877039?\n\"Answer: -2646173*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1100.4 + 1100.405435. What is l rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484578322 a multiple of 1739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*c**3*y + 4936*c**3 + 110*c**2*y**2 wrt y.\nAnswer: -34*c**3 + 220*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 66*b + 29*b + 55.\nAnswer: -37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 1, x: 7, c: 2, r: 3}. Give prob of sequence ix.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 0*w**3 - 1\/8*w**4 + 0*w**5 + 0*w + 1\/8*w**2 - 38 + 1\/24*w**6. Find a such that u(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 30. Let a be i(-16). Suppose 0 = a*r - 18*r + 1756. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 13*l + 174. Let v = 58 + l. Solve v*u = 5*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/11266 + 278823\/39431. Find the common denominator of 2 + -1 + 43\/(-13) and z.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36952 is divided by 18442.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2413*r - 231805. Calculate c(96).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 41 - 84 + 531*t to the form j + v*t and give v.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -8) + 1 + -1. Suppose h*z + 4 = 34. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 3125*p**3 - 2*p + 2*p**2 - 1092*p**3.\nAnswer: -4217*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43123133 - 102?\nAnswer: -43123240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5020*o - 55198. Calculate l(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 2*q - 1974 + 3*q**2 + 5243 - 2*q as u*q + b*q**2 + m and give m.\nAnswer: 3269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.23 + 88.77. Let y = q + -91. Which is the smallest value? (a) -1 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) -0.4 (c) 85 (d) -10 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6314 = 23*y - y. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1\/20*p**5 - 7*p**2 + 0 + 0*p + 0*p**3 + 0*p**4. Factor z(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4042*c**2 - 8256*c - 1. Determine h(-2).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:33 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 80*n**2 + 3221*n - 22205. Give a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1290.2 and -1.\nAnswer: 1290.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3 + 8 - 2*y - 1 + 8. Let g = 26 + -44. What is the units digit of q(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9)*k)\/k**(1\/5)*(k\/(k\/k**(-15)))\/k*k\/(k\/((k*k\/k**(2\/23)*k)\/k)) assuming k is positive.\nAnswer: k**(-13177\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 7d6ce?\nAnswer: -7d6cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.44 - 48.74. Which is the closest to 0.1? (a) 5 (b) w (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*o - 10288 - 16768 = 233*o - 659*o for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 343150457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-116)*(4\/3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-56 - -27)) + 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -187435, -749951, -1687479, -3000019, -4687571, -6750135, -9187711?\n\"Answer: -187506*u**2 + 2*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*j**3 - 600*j**3 + j - j - 683*j**3.\nAnswer: -261*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 4\/(-1))\/4. Suppose 5*j - 4*j = n - 52, -4*j + 16 = g. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + v**3\/6 + 4*v - 3. Let o(d) be the first derivative of x(d). Find the second derivative of o(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43158 (base 12) in base 15?\nAnswer: 1b295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.4 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiihihiihiii. Give prob of sequence iih.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406700376 to the power of 1\/2, to the nearest integer?\nAnswer: 58367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 34*l**2 - 23*l + 37*l.\nAnswer: 34*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = -3*l - 9, 4*l + 3*x = -23. What is the third biggest value in 0.6, 3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5696\nAnswer: -5\/5696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 838303080 divided by -1380.\nAnswer: -607466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10241603 (base 7) in base 2?\nAnswer: 11010011110001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10698798 and 1188?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - 2*u**2 - 10*u - 3. What is the units digit of z(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7199\/390 - -716\/39. Which is the fourth smallest value? (a) 0.2 (b) -7\/15 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.061547ng to grams.\nAnswer: 0.000000008061547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-16) - (1 - 13\/4). Suppose a*j = -3*q + 75, 6*j - 4*j - 32 = 4*q. Suppose 17*l = j*l - 70. Calculate the highest common factor of 98 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*(sqrt(1584) + 2))*-3)**2.\nAnswer: 7776*sqrt(11) + 228825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n. Let m(y) = -4. Let l(x) be the second derivative of x**3\/6 - 2*x**2 + 6*x. Let j(q) = 4*l(q) - 4*m(q). Calculate j(s(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*g = -17, 4*q = -q - 4*g - 21. Let p = -24 + 27. Let t = 1\/3 - 1\/12. Which is the nearest to 1? (a) t (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 14*i - 271 = 2 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3 + 3)*(4 - 3 + 0) - k + 4*k - k + (10*k - 14*k - 16*k)*(0 + 2 - 1).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-305)\/366)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/12 - g**3\/3 - g**2. Let t be 4 + ((-4)\/1 - 4). Let o = -5 - 0. Let r(i) = -3*i + 3. Determine o*a(m) + t*r(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.9. Let h = v + 1. Let p = 23 - 28. Which is the closest to h? (a) -0.3 (b) -2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3 - o + 5 - 3. Let c(k) = -11. Let b(s) = c(s) - 6*r(s). Find the first derivative of b(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.547 - 0.507. Sort -3\/2, -1, z, -0.5 in ascending order.\nAnswer: -3\/2, -1, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109\/2 + 54. Let i = 0.1 + 0. Which is the closest to i? (a) x (b) -5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/(9\/36). Let r(k) = -1. Let v(b) = -b - 1. What is p*r(j) + v(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 153167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1253 and 37.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 6\/7 in decreasing order.\nAnswer: 6\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5231036.\nAnswer: 2, 17, 43, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1\/9, -1, 0.4, 0, 11043?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 966*u**2 + 1. Is d(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848837 (base 9) in base 7?\nAnswer: -11545063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -1. Let z be ((-36)\/15)\/((-6)\/20*44\/22). Calculate the highest common factor of w and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*z**3 + 63*b**3 + b**2 + 2*b*z**3 - 40*b*z**2 wrt b?\nAnswer: 24*z**3 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 516493010 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11018*u - 1720*u + 1 + 1 - 1 - 7352*u.\nAnswer: -20090*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/297 and -38\/243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-13)*(a**(-1\/2)*a)**(-2\/11))\/(((a*a*a*a\/(a*a\/a**(-1)))\/a)\/a**(-4\/3)*(a*a**(-1\/5)*a*a*a)\/(a\/((a\/a**2)\/a))) assuming a is positive.\nAnswer: a**(-2512\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 18. Let j be q(-8). Let i(w) = -j - 5*w**3 - 6*w**3 - 2 + 5. What is the tens digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 24*v - 50. Determine s(-25).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 8) to base 5\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p)**(-48)*(p**(-6)*p)**0 assuming p is positive.\nAnswer: p**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 5*p**4\/3 - 37*p**3\/6 + 20*p**2. Let j be q(10). Suppose 477 = 8*v - j. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2994323, -2994263, -2994203, -2994143, -2994083?\nAnswer: -2994023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -63.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 281.1422?\nAnswer: -112.45688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-592)\/(-925)))\/(-1)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 632 - 612. Suppose 4*z - 28 - 124 = 0. Calculate the remainder when z is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*j + 8. Let i = 0.2 + -0.2. What is the closest to 0 in j, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:52 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = 9*i + 348. Let x(s) be the first derivative of -i + 0*s**2 - 1\/6*s**4 + 1\/9*s**3 + 1\/15*s**5 + 0*s. Factor x(q).\nAnswer: q**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1517\/3 + -557. Let d = v + 259\/5. Calculate the common denominator of d and 37\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*d + 4*d - 2 = 0, 2 = -4*b + 2*d. Suppose b = 2*s + 2*s - 8. Let a = 53 + -34. Solve n - 11 = s*g + 2*n, -4*g - a = -n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*j**2 + 1197*j**2 - 400*j**2 - 410*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/35, 3, 0 in increasing order.\nAnswer: 0, 6\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b**(1\/4))**(-1\/11)\/((b**1)**(-24))**(2\/5) assuming b is positive.\nAnswer: b**(1977\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 52\/95?\nAnswer: 52\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/672813 and -107\/24?\nAnswer: 5382504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -35*g + 8. Let q(l) be the first derivative of -l**3\/3 + 789. Determine q(v(d)).\nAnswer: -1225*d**2 + 560*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f**2 + 2 + f + 7*f**2 + 4*f**2 - f**2 + 0*f**2 to g + n*f**2 + l*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62243412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -79 - (4 - 8) - (142 - 153)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f, -1 = 2*k - 3*f + 4*f. Put 0, -7, k in descending order.\nAnswer: k, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111447 (base 12) to base 15\nAnswer: -55887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 17*h - 7*h = -47795. What is the highest common divisor of 15 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 136\/(-24))*(-3 - (-6)\/5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.006, -2, 2\/15 in increasing order.\nAnswer: -2, -0.9, 0.006, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/9)*q**(-3)*(q**(2\/5)*q)**(-23) assuming q is positive.\nAnswer: q**(-1604\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -124, -178, -264, -388?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6 + (20\/2 - 9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/9, 18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + s**3 + s**3 - 88299 + 88299 + 101*s**2.\nAnswer: 4*s**3 + 101*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*(2 + -1 + sqrt(1872)) + 5)*-6)**2.\nAnswer: 20736*sqrt(13) + 608832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + d + 1. Let m(b) be the first derivative of 2*b**3\/3 + b**2\/2 + b - 4. Let w(a) = -4*i(a) + 5*m(a). Give w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277599 + 277601. Suppose 24\/13*f - 22\/13 - 2\/13*f**n = 0. Calculate f.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (5*((sqrt(612)*-1 + sqrt(612) + sqrt(612))*4 + sqrt(612)))**2).\nAnswer: -382504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 + -63.78078.\nAnswer: -373.78078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65914919?\nAnswer: 7, 9416417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 427839 and -5?\nAnswer: -2139195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4491 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**2 - 2*j**3)*(j - j**2 - j) + 8*j**5 + 8*j**5 + j**5 - j**5 - 2*j**3 + 2*j**3 + (-2*j**2 + j**2 + 2*j**2)*(j**2 - j**3 - j**2).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + 1 - 4\/(-2). Let h be 3 + (-2)\/((-6)\/z*-1). Suppose 4*k = -5*q + 36, -3*q - q + h = -2*k. Solve q*v + 10 = 4*t - 7*t, 12 = -2*t - 4*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3 + 24*h**2 + 1267762*h - 70681947 wrt h.\nAnswer: 3*h**2 + 48*h + 1267762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367976 = 5173*b + 47969 - 719 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:09 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n - 57*n - 15*n + 9. Let a(o) = -15*o + 2. What is 9*a(c) - 2*x(c)?\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 + 4*z**3 - 1310*z**2 + 11*z**3 + 1310*z**2.\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*f + 2842 + 350 = 0, 5*f = -2*w + 1581. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45635564 and 402836?\nAnswer: 319448948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13402 + 13397. Let o(f) = f**3 + 2*f**2 - 16*f - 8. Give o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61698496344 and -7.\nAnswer: -61698496351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and -0.17?\nAnswer: 31.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 - ((-6)\/2 - -4). Suppose -4*z = -g - 22. Let f be 13 + (-68)\/(-170) + (-2)\/5. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 27. Let d be c\/5 - 4\/10. Suppose 3 = 3*f, 2*k - d*f = -1 + 4. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 0*i + 60919*i**2 - 10*i**4 + 2*i**3 - 60911*i**2 in the form y*i**2 + l*i**4 + v + s*i + a*i**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q. Let i(w) = -w**2. Give x(i(r)).\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 911, 910, 909, 908, 907?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*l**3 + 74*l**3 - 133*l**3)*(l**2 - l**2 + 3*l**2)*(1 - 1 + 4)*(-1 + 3 - 4).\nAnswer: 720*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*j + j, -3*q = -5*j - 112. Suppose -5*x = -15, q = -4*z + 2*x + 2*x. Let s = z + 8. Solve s = d + 3*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*p - 1 - 2 + (0*p + p + p)*(-1 + 4 - 5).\nAnswer: -6*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65899566 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(3\/7)*m)\/m)*m**(-2\/15)*(m*m**(2\/5))**(5\/3))**(-34))**(-2\/3) assuming m is positive.\nAnswer: m**(6596\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8769926 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-54)\/(-7452)). What is the greatest common divisor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 542, 1690, 3910, 7556, 12982, 20542, 30590?\n\"Answer: 59*l**3 + 5*l**2 + 2*l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229\/4 - -57. Let n = -1.4 + 0.2. Let x = -2.2 - n. Which is the nearest to x? (a) f (b) -3\/5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -753*u**3 + 753*u**3 - 41*u**4 + 2*u - 2*u**2 + 0*u to the form m*u**3 + x + b*u**2 + f*u**4 + w*u and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(-3)*(4 + -3 + 97)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -158, -145, -132, -119?\n\"Answer: 13*t - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -20 + 28 - 18 + n**2. What is the remainder when d(-6) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 4*x. Let b be q(3). Suppose -6 = -b*z - 3. List the prime factors of ((-36)\/(-2 + -1))\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/4 - 2*k**3 + 4*k + 79. Calculate j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 13 = 16*l + 11, 8*a - 4*l - 13 = 11 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/12425?\nAnswer: -4\/12425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38983, 155966, 350947, 623932, 974927, 1403938, 1910971, 2496032?\n\"Answer: g**3 + 38993*g**2 - 3*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*m**2*o**2 - 5736*m**2*o + 6*m*o**2 + 790*o**2 wrt m?\nAnswer: 28*o**2 - 11472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4\/13 (c) 95.5 (d) -1\/5 (e) 1\/4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:21 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2079 and 1881.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 107*f**2 - 71*f + 200. What is r(-35)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 614*a**3 + 12*a**2*x**2 - 3*a**2*x - a*x**2 + x**2 + 24635 wrt a.\nAnswer: 3684*a + 24*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (-31 - 3) - -30) + -29?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/((-6)\/3))\/2. Let g be 6\/(-2)*((k - 0) + -3). Sort -2, -5, g.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from feeyeefy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 25*i**2\/2 + 143*i + 935. Calculate q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3161b6 (base 14) in base 9?\nAnswer: -3123030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 53*v - 851. Let d be w(26). What is the greatest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2373 = 3*x, 16*x - 20*x = l - 1203. Does 66 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - z**4 + 75*z**2 - 75*z**2 - 5*z as v*z + j*z**4 + b*z**3 + i*z**2 + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) - 1 - -1. Let n = -1 - -3. What is the third smallest value in b, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -67, -75, -83?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131400 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = -0*p. Let b = -17 + p. Let w be 2\/4 - 54\/b. Solve 0*d = w*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 362576*i + 5800704.\nAnswer: 2*(i + 16)*(i + 181272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692, -722, -2134, -3544, -4952?\nAnswer: -6358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3)*16\/56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 0, 0 = 8*x - 9*x - 5*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*f = 7, -5*r - 3*f = -2*f - 35. Find the third derivative of -25*z - 15*z**4 + z**4 + 25*z - r*z**2 wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104651.43465 to zero dps.\nAnswer: -104651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 1, r: 2, l: 9}. Give prob of sequence qrr.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.3 - 41.3. Let p = -0.08 - 0.12. Sort 4, n, p in decreasing order.\nAnswer: n, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:48 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/10 - -2)\/((-16)\/40). Suppose -x*i + n - 1 = 0, n - 13 = -7*i + 3*i. Differentiate -18*m**2 + 36*m**i + 15 + 2*m - 2*m wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -155*k**2 + 2*k. Let w(u) be the first derivative of 20*u**3\/3 - 3237. What is c(w(a))?\nAnswer: -62000*a**4 + 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*b**2*u**2 + 8*b**2*u - 9*b + 7*u**2 wrt b.\nAnswer: -42*u**2 + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - h - 1. Let x be (-88)\/(-10) + 1\/5. Let f = x - 15. Let z(m) = 3*m - m - 3*m**3 - 450 + 2*m**2 + 452. Determine f*n(p) - 3*z(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0119 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvll. What is prob of picking 1 l and 1 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28450?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 6*n - 9. Let a(k) = 2*k**2 + 6*k - 9. Let r(g) = -3*a(g) + 4*q(g). Let d be r(-5). Suppose -o + 9 = d. Sort 4, -0.1, o in decreasing order.\nAnswer: 4, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1698 + 2390 = 4*f. What are the prime factors of f?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5714, -138, -5, 2, 1, 5, -3 in ascending order.\nAnswer: -138, -5, -3, 1, 2, 5, 5714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -3, 0, 22086, -39 in descending order.\nAnswer: 22086, 0, -3, -4, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 38. Let o(g) = -9*g. Calculate a(o(x)).\nAnswer: -18*x + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8949.1 + 8951. What is the biggest value in -2\/41, 5, h, -2\/23, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.198, 4\/7, 2, 5, -192?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2863*u - 176 = -2862*u - 5*w, -2*u - 64 = -2*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13480280 rounded to the nearest ten thousand?\nAnswer: 13480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/(-4) - (-1)\/(-4). Suppose 2*d = y*d. Let x(r) = -r**3 + r + 3. Let q be x(d). Solve -n = 5 - q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 >= -229066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -82106.9 take away 15?\nAnswer: -82121.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/4 + 79*p\/2 + 6241\/4 = 0.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1487, -41, -3, -5, 1 in descending order.\nAnswer: 1487, 1, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 199667619 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/42 + 4\/(-63). Suppose 2*r - 5 = -5*m + 5, -3*r - 15 = 0. Suppose 0 = m*x - 2*w + 18, 3*x - 4*w + 9 = 4*x. What is the closest to q in -1\/11, -2, x?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 2, k: 3}. What is prob of picking 1 k and 1 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -67. Let s(l) = l**3 + 2*l**2 - l - 1. Let a(j) = 4*j**3 - 2*j**2 - 2*j - 12. Let m(c) = q*a(c) - 3*s(c). Determine m(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286 divided by 3\nAnswer: 286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 358356560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3651*b - 64. Let m(n) = 66. What is m(z) + v(z)?\nAnswer: -3651*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -45ad9a (base 15) to base 4\nAnswer: -30230113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5440 is divided by 5419.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-3)*(-15)\/(-10). Suppose -3*s = -p + 2, 2*p + u*s = 5 - 1. Let d be p\/(-14) - (-58)\/14. Solve -d*n = -0*t + t - 20, -3*t - 5*n + 32 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (73 - (3 + -3)). Is 2 - (m*-1 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, -0.2, 5\/2, 33 in ascending order.\nAnswer: -0.4, -0.2, 2, 5\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = 3*c, 2*l + 4*c = -2*l + 68. Suppose -4*k - 21 = 147. Let x = k + 81. What is the remainder when x is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 411, 894, 1571?\n\"Answer: 97*y**2 - 2*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 7967770\nAnswer: 55774390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10156796*w**2 - 4 + 10157175*w**2 + 3 + 5*w to the form g*w + m + y*w**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/5 - 6471*w**4\/5 - 9068*w**3 - 38868*w**2\/5 = 0.\nAnswer: -6, -1, 0, 6478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 25469*x\/2 - 25467.\nAnswer: -(x - 25467)*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 2750.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)*(-10)\/(-2). Let w be 18\/(-6)*p\/3. Solve -5*i + r + 19 = w*r, 0 = 2*i + 5*r - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(36)\/sqrt(3)*2*2)\/(5*4*sqrt(432)\/sqrt(8)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wijjjnjiijijwjiijw. What is prob of picking 3 i?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 528 = -3*s - 2*u, -2*s + 5*u + 331 = 0. 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 0.4288811l in millilitres?\nAnswer: 428.8811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1884, -4582, -8092, -12420, -17572, -23554?\n\"Answer: -a**3 - 400*a**2 - 1491*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 2. Let a(y) = 5*y + 66. Let h be a(-13). Let n be d(h). Factor 3\/4*l**2 + 0 + 0*l - 3\/4*l**n.\nAnswer: -3*l**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4250 + 4251. Let u(y) = y**2 + 1. Let g be u(-2). Put 8, g, w in descending order.\nAnswer: 8, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 12. Let i(m) = -3*m**2 - 2. Calculate b(h) + 3*i(h).\nAnswer: -6*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*u - 2 + 3*u - 5*u + 0*u + 1 - 2*u - 1 + 3 - u - 3 + (-3 + 3 - 2*u)*(-2 + 5 - 1) - 3*u - 1 + 1 + 2*u + 0*u - 3*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.9352 millennia to centuries.\nAnswer: 339.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/42*4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - ((58 - 52) + (-2 - -3) + 1 + -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116*350\/(-1800) + 22 + -1.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957444710?\nAnswer: 2, 5, 41, 2335231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p - 3*p)*(2*p**2 - 2*p**2 - 3*p**2) + (0 + 0 - p**2)*(-p - 4*p + 3*p) as s*p + h*p**2 + b + w*p**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 63 = -t, -28*g - 2*t + 14 = -27*g. Suppose -g = 4*s, 0*s = -4*a + s - 751. Is -187 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a + a - 4*a + 0*a. Let m(f) = -3 + 5*f**2 + 0 - f**2. Let u(g) = -5*g**2 + 4. Let h(v) = -4*m(v) - 3*u(v). Determine h(s(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*h**3 - f*h**2*y**2 - 9*f*y + 32*h**3 + 8*h**2*y**2 - 2*y with respect to f.\nAnswer: -h**3 - h**2*y**2 - 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112972403 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10936305, 10936303, 10936301, 10936299, 10936297?\nAnswer: 10936295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4779858431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -428884?\nAnswer: -428883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*z - 5597280 = -250*z + 46*z. Is 240 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 4, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -17*y - 35 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 times 0.2\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - 5*p**3\/3 - 132*p**2 + 5*p + 25. Calculate y(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 7. Let c = -937 + 934. Calculate q(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z + 1. Does 12 divide l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-50)*-2)\/((-1)\/(-5)). Solve 0 = 2*x - 6, -4*j + d = 2*x - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 134. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8))\/(((-21310)\/(-93764))\/(10\/99)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8898 + -8900. Put -5, 2, -145, -1\/2, s in decreasing order.\nAnswer: 2, -1\/2, s, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 823715, 1647432, 2471149, 3294866, 4118583?\n\"Answer: 823717*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 105*y - 882 = 0. Calculate y.\nAnswer: -7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:23 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1601456 and 59792?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213153 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -8*n + 20*n. Suppose -2*w + 25 = -7*w. Which is the closest to n? (a) 8\/3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 445*q**2 - 3*q + 51. Let p(u) = 25*u + 1. Give b(p(m)).\nAnswer: 278125*m**2 + 22175*m + 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2108 (c) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2*s**2 - 28*p**2*s + p**2 - 148*p*s**4 - 40*s wrt s?\nAnswer: -6*p**2 - 1776*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 76.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8266*p + 4246*p + 4423*p. Let c(u) = 2*u**2. What is c(a(m))?\nAnswer: 324818*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -160\/31, -2\/5, 0.4, 5\/2 in decreasing order.\nAnswer: 5\/2, 2, 0.4, -2\/5, -160\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let p(a) = 16347*a**2. What is h(p(d))?\nAnswer: -16347*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*6 - sqrt(36) - sqrt(36)) + sqrt(36) + sqrt(36))\/(sqrt(48)\/sqrt(4)*-6) + (sqrt(9)\/sqrt(12) - (-2*sqrt(12))\/sqrt(4))**2 + 3.\nAnswer: -4*sqrt(3) + 87\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 163. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5831 - 5829. Let k = 10 + -6. Solve k = -t + v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - 5*j**2 + j - 13. Let r(x) = 6*x**3 - 6*x**2 + x - 14. Let o(i) = 5*q(i) - 4*r(i). What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34915018 is divided by 112?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -546.000000293 - -546. Round x to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzlmmzbmvmrv. Give prob of picking 1 b and 2 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 - 8. Give c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (52 - (2 - (12 - -4))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 - 7 = 4*h, 4*f - 20 = 5*h. Let o(a) = -a**2 + 2*a + 18. Let c be o(f). Solve -5*v + 4 = c*b, -3 = -v - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -309*q**5\/10 - 22*q**4 - 145*q + 1. Find the third derivative of i(c) wrt c.\nAnswer: -3708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -64 and 1398.31.\nAnswer: 1334.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m, -4*i + 2*m + 34 - 8 = 0. Let d be -2 + 0 + (i - 2). Suppose 10 + d = 7*r. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23*c**3 - 7*c**2 - 127*c - 894. Give d(-6).\nAnswer: 4584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33566 divided by 13.\nAnswer: -2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82154693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 27 + 10 = 3*z, 5*z = -4*i. Sort -5, -4, z, -7 in descending order.\nAnswer: z, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*f*h**3 - 1605*f*h**2 + 366068*f*h - 22*h**3 + 123*h wrt h.\nAnswer: 318*f*h - 3210*f - 132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 19*v**2 + 66*v - 11. Determine r(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 957*0.06\nAnswer: 57.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 10548*s + 189581. What is p(18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31242806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/15)*a)\/a)\/a**(-3\/2))**13 assuming a is positive.\nAnswer: a**(923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h**(4\/3)*h)\/h)*h*h*h**(2\/75))**37 assuming h is positive.\nAnswer: h**(4699\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 696429.2 weeks?\nAnswer: 4875004.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60269059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/24 - 1)*-6. Let b be (-52)\/y*-5 + 2. Solve -22*a = -b*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/41? (a) -2 (b) 22\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/7 + (-2584322)\/(-91). Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.579871 from -4.\nAnswer: 9.579871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -612.6 + 684. Let j = s - 1.4. Let x = j - 68. What is the second biggest value in -2\/21, -0.4, -1\/2, x?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 6 = -6*n. Suppose 0 = 3*f, 5*s - 15 = f + 3*f. What is the greatest common divisor of n and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 at least as big as -589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 + 0*d**2 + d**2 + (2 + 0 + 1)*(2*d**2 - 2*d**2 - 2*d**2) + d**2 + 2*d**2 - 5*d**2 + (-d + 0*d + 2*d)*(4*d - 2*d + 0*d) - 2*d + 2*d + d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, e: 3}. Give prob of sequence ee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17a - -45975?\nAnswer: 457c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3873 = -3*y - 13860, -v - y = -4971. Calculate the greatest common divisor of v and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137.7 + 138. Let h be (-4)\/(-12) + (-2)\/(-2). What is the nearest to 0 in 5, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/(24\/(-9)). Suppose 2*q = -4*q - 18. Let x be ((-90)\/(-7))\/q + 4. Is x less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543296147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(17)*-3 + sqrt(102)\/sqrt(6) + 0 + (sqrt(85) + 4*sqrt(85)*-2 + sqrt(85))\/((sqrt(25)*2 + sqrt(25) + sqrt(25))\/sqrt(5)))*6.\nAnswer: -21*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (20*138\/(-9))\/(3\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -4. Calculate the common denominator of 17\/3 and g + (-452)\/24 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 46*g + 2607. Let x(s) = 28*s + 1303. Let j(q) = -5*x(q) + 3*y(q). Let z(f) = -2*f. Determine z(j(v)).\nAnswer: 4*v - 2612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2716081910 - -257673\nAnswer: -2715824237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*r - 6*r, 3*r - 13 = -5*m. Suppose -15*f**2 + 2*f**5 - 9*f**m + 9*f**4 + 18*f**3 - 5*f**5 = 0. Calculate f.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 3*g + 11. Suppose -165 = 21*y + 12*y. Let o(t) = -t**2 - 4*t - 11. Let p(v) = y*o(v) - 4*n(v). What is p(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417 by 417.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-15) - 5 - (-3)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1817 - -3178. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785767033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18 and 29\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*o - 20*o - 22*o - 18*o - 2*o**3 + 2*o**2 - 1 - o**4 in the form y*o + s*o**3 + d*o**4 + m*o**2 + q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334271 is divided by 1492.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402546.1 decades in millennia?\nAnswer: 4025.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 170, 1396?\nAnswer: 1396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29314 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 j when three letters picked without replacement from jykkyyefyceeykfffkjf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064*h = 1062*h + 2290. Is 74 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.8 - 30.8. What is the biggest value in 0.1, z, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2737, -3971, -6031, -8917, -12629, -17167, -22531?\n\"Answer: -413*j**2 + 5*j - 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -704 * 0.1931\nAnswer: -135.9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 3*i - 6. Give g(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/2 - c**3 + 3*c**2\/2 + 4*c + 2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 329*u - 996*u + 334*u + 336*u + 3*u**2 - 4. Give p(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1047*t + 11967. Give b(-11).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666*v - 53641 = -113*v. What is the nearest to 1 in v, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 218\/3 + (-4)\/(-3). Let t = -51 + u. Solve -11 = 3*y - 2*g, -3 = 5*g - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**6\/10 - o**3\/2 + 3*o + 3. Let i(g) be the first derivative of z(g). What is the second derivative of i(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -1263610.\nAnswer: 26\/631805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5922 plus -1?\nAnswer: -1.5922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:19 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-1)\/2*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 41988?\nAnswer: 461868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2. Let l be f(1). Let x be (1 - (-5)\/(-4))\/(22\/(-44)). Find h, given that -x*h**l - 1\/2 + h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u - 14. Calculate b(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158835416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 - 2782*w\/5 + 1856\/5.\nAnswer: -(w + 928)*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -310, -293, -280, -271, -266?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.14774 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6318 and 8748.\nAnswer: 113724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7755\/7 at most as big as 1109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-four fifths of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -747*q**3 - 2*q**2 - 18*q - 71. Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/111? (a) 4 (b) 0.11 (c) -0.5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1067\/98651 - 2\/829. Let b(t) = -t**3 + 13*t**2 - 9*t + 21. Let h be b(12). Let x = h - 57. Is q != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -38. Let b be o\/((-7)\/(-1))*2\/6. Differentiate 0*t - 41 + 38*t**3 + b*t + 25 wrt t.\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1223100a - 0?\nAnswer: 1223100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3 - -5\/21. Let y(t) = t**2 + 4*t - 3. Let o be y(-5). Which is the second smallest value? (a) -1\/4 (b) 0 (c) f (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((18\/690)\/3)*108\/(-180).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -624 + -373?\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -2*s - 67*a, -10 = s - 26*a + 23*a - 9 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 49*k - 43*k + 144 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(k\/k**16))\/k)\/k*k)*k**(-3))**(-10\/7) assuming k is positive.\nAnswer: k**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659891 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.44 (c) -0.17 (d) -0.4 (e) -1\/7 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-8)*(-2)\/(-18)*6. Solve -7 = -4*t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from dievhm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -839*k + 755*k + 20 = -400. Suppose -2*o + 4 = -6*o. Sort 2, k, o, 33 in ascending order.\nAnswer: o, 2, k, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -12. Let w = z - -24. Let f = 27 - w. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaeeaeaaaeee. Give prob of sequence aaae.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 not equal to 2\/4127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.29 + -5.39. Which is smaller: a or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**3*g**2 - 3*b**3 - 18*b**2*g - 126*b*g**5 - 4*b*g + 78*b wrt g?\nAnswer: -16*b**3 - 2520*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -28, -0.4, -133\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*q - 3, -4*g - 8 = -4*q - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -m - 40. Let x(z) = -8*z - 16. Determine x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 7*x**2 - 24*x + 94. Let f be k(3). Solve -5*d + 36 = -f*p, 9*p - 10*p + 12 = 4*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41002678?\nAnswer: 2, 20501339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -567*f**2 + 567*f**2 + 9 - 10*f**3 wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896 + -32037705.\nAnswer: -32038601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(9\/(-1)) - (-12 + 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 5. Suppose o - y = 5. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413083663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, -2645 in decreasing order.\nAnswer: 11, 8, -2645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172770 is divided by 2696.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275823 is divided by 8357?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + (sqrt(126) - sqrt(126)*-4))*-4)\/sqrt(9))\/(sqrt(896)\/sqrt(7)*3).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-210))\/(1462\/266084)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -3857?\nAnswer: 23\/3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6041000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -110. What is the greatest common factor of 36 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 + -2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*i = 362, -165 = -3*u + i + 193. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((0 - 0) + -1). Suppose 2*o - 9*o = -595. Suppose b*d = 5 + o. 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: Let o = -147 + 152. Let i(h) be the third derivative of 0 + 2*h**2 - 1\/504*h**8 + 1\/180*h**6 + 0*h**4 - 1\/315*h**7 + 0*h + 1\/90*h**o + 0*h**3. Factor i(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -163 (b) -3\/5 (c) 0.7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j + j + (-1 + 1 - 2)*(3*j - 3*j + 2*j))*(2 - 7 - 2).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -835715 + 183\nAnswer: -835532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30409210*u*y**2 - 2*y**2 + 9569505*y wrt u.\nAnswer: 30409210*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -2010?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -265927 (base 10) in base 12?\nAnswer: -109a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 - 2*j**2 + 501*j - 502*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1 (b) -4\/3 (c) 0.8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24707493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 7 = 4*r, 538*x - 532*x - 3*r = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2018.606 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -93, 2\/15, 0, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 174*g + 17 - 11.\nAnswer: 174*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 40*h - 5 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -93*z + 1828. What is the remainder when 2126 is divided by o(19)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = -70 + 35 - 61 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8900, -8901, -8902, -8903, -8904?\n\"Answer: -x - 8899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 2 (b) -0.4 (c) -48 (d) 54\/37 (e) -7 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 28*l - 125. Let z be a(-22). Solve 10 = -3*w - z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.1, -1\/2, -7\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 910768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 76*w + 29*w + 22*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 26 = t, -4*z = 5*t - 7*z + 8. Solve 0 = -4*f - p + t, -2*f + 5*p - 6 = -18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695970 divided by -185?\nAnswer: -3762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhyywwvybhmm. Give prob of sequence vhym.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 847591?\nAnswer: 2542773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - 3*f - 6*f)*(1365 + 986 - 119 + 355) as k*f + c and give k.\nAnswer: -33631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.28968 grams in nanograms?\nAnswer: 39289680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 0, 1\/2.\nAnswer: -1, -0.4, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 16*p**2 + 18*p + 47. Let x be j(-15). What is the nearest to -18 in -2, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -96. Determine k, given that -4*k**2 - t*k + 43*k - k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 20, -17*q + 19*q - 5 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30179 = 18*x - 7117. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244864819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122995*t**6 - 15*t**2 - 1011*t wrt t.\nAnswer: 14759400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57863, -57870, -57883, -57902, -57927, -57958, -57995?\n\"Answer: -3*k**2 + 2*k - 57862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-117)\/9) + (-22)\/4?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -440*b - 10. What is the hundreds digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-2*((-15)\/18 - -1)). Solve -d*q + 16 = -79*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -1053496878578?\nAnswer: 1053496878586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(696\/(-1305)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*f - 48. Is 21 a factor of 123 + (f\/2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 5}. What is prob of sequence ooj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -13*u**9\/126 - 59*u**5\/30 + 7*u**2 - 3*u. What is the third derivative of v(s) wrt s?\nAnswer: -6240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-231))\/(10\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3 + -2 - 1. Let c be (-4 + 2)\/(3\/(-6)). Suppose -2*v + c*s + 0*s - 12 = 0, -2*v - 3*s + 23 = 0. Solve -h + 0*h - v = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 237, 254, 271, 288, 305?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - f - 9*f - f - f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 170?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 31*g**3\/6 + 523*g**2\/2 + 3575*g. Give z(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.1326 kilometers to nanometers.\nAnswer: 788132600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 53, 0.3, -0.071, 0.1, 1, -127?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * -0.045.\nAnswer: 4.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 0.3294635.\nAnswer: 4.3294635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 358.0412?\nAnswer: 358.0412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11013 (base 4) in base 10?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2320672 - 2320672.04999988. Let p = 0.05 + k. Round p to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5472 and -31\/6749256?\nAnswer: 80991072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwidjfws. What is prob of sequence idj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*s + 355. Put s, 2\/7, 5 in ascending order.\nAnswer: s, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 2*r**3 + 3*r**3 + (0*r**2 - 3*r**2 + r**2)*(-8*r - r + 2*r) as f*r + b + s*r**2 + j*r**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 135663 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/12 - 85*s**4\/24 - 11*s**2 - 2*s. Factor z(q).\nAnswer: -5*q*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + k**3 + k + 0 + 0*k**2 + 1 + k**2. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 1 - -464 - 0. Suppose 0*d = -4*d + p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*c - 95*c + 43*c**2 + (-3 + 2*c + 3)*(2*c + 2*c - 5*c) in the form w + d*c + o*c**2 and give o.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 184*u - 2655. What are the prime factors of d(37)?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/(-51))\/((-2)\/(-6)). Suppose -u*w = -11*w + 238. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 12*j - 8. Suppose -p - c + 17 = j*p, -2 = -c. What is the highest common factor of p and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.8283 to 0 decimal places.\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 minus 285?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6295760?\nAnswer: 2, 5, 78697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*d + 3*d - 5*d)*(-d - 2 + 2) + 5*d**2 + d**2 - d**2)*(6 + 147 + 58 - 6) to the form p*d**2 + v + g*d and give p.\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 79*u - 16183 = -75*u, -4*p + 4*u + 21580 = 0. Does 56 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 607604619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/8)\/h**(-8) assuming h is positive.\nAnswer: h**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(2 - 2 + p) + 29 - 286*p - 12 - 17 in the form i*p + c and give i.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.5029l in millilitres?\nAnswer: 208502.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 12)*(2 + (-1628)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 318 in -1.38, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = -4*v, -o - 2*o + 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 163*c - 12*c + 182*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/47754652 and 75\/536.\nAnswer: 95509304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 14654.\nAnswer: -14660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/((-4)\/(-10)). Let o(v) = -v - 1. Let b(n) = 3*n + 3. Give k*o(f) - b(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 35c1291?\nAnswer: -35c129c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*j - 14245, -v + 6739 = 3*j - 387. Which is smaller: 7104 or v?\nAnswer: 7104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 15, 58274 in increasing order.\nAnswer: -1, 4, 15, 58274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b933 + -5?\nAnswer: -4b938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -1\/29 (b) -810 (c) 1\/5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:50 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-4 - -3) - 0. Suppose 5*b = -o*b + 7700. Suppose 2720 = 5*m + 5*f, b + 89 = 3*m + 2*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 0.1, 12, -0.3, 0 in descending order.\nAnswer: 12, 0.1, 2\/21, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**2)))**17*((z\/(z**(1\/3)*z))\/z)**(1\/11))**28 assuming z is positive.\nAnswer: z**(47012\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(147) + -2) + sqrt(147))**2 + ((-1 + sqrt(147)*-3 + sqrt(147))**2 - sqrt(147)))*-5.\nAnswer: -2965 - 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -618 and -38.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 2*h**2 + 1\/2*h**3 - 3*h. Let j be o(-3). Sort -3, 4, j.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.9 + -35.1. Is 8 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135456 (base 7) to base 3.\nAnswer: -21021222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400647 is divided by 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 + 0*u - 1\/24*u**4 + 5*u**2 + 2\/3*u**3. What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5285855041.\nAnswer: 5285855041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.63 - -34.4591.\nAnswer: 31.8291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -4.2938211.\nAnswer: -12.8814633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -23.8919?\nAnswer: -573.4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, p: 5}. What is prob of picking 3 b and 1 p?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-230)*15*(-5)\/(-180)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Let l(c) = 6*c - 14. Calculate the smallest common multiple of 18 and l(g).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 25 + 0*i - 7 + 4*i + (-4*i - i + 7*i)*(-2 - 3 + 4).\nAnswer: 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 11}. Give prob of picking 3 e and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 16.3. Let p = i + 0.8. Let y = p + -1.1. Which is the third smallest value? (a) y (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(176) + sqrt(176)*-4) + -4*sqrt(60)\/(sqrt(96)\/sqrt(8)))**2.\nAnswer: 12005\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let u(x) = 1 - 1 + 0*x**2 + a*x**2. Let q(t) = -t**2. Calculate u(q(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1809, -1035, 0, -2, -5 in decreasing order.\nAnswer: 0, -2\/1809, -2, -5, -1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2074669922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095984 to four dps.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d + 12 - 12)*(-d + 3*d - 5*d).\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2187860.\nAnswer: -1\/437572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or -143308\/1341?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 3*v + 6, -w - 8 = 4*v. Suppose -5*p = d - 104, 2*p + 328 = 2*d + 2*d. What is the highest common divisor of d and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (5 + -41)) + 6 + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225576499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2931611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -971 + 1460. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210138 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/5))\/y*y)**(-16\/5)*((y*y**11)\/y)\/(y*(y**(-1)*y)\/y) assuming y is positive.\nAnswer: y**(83\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/15 - (-2)\/(-5). Let o = 46 + -45. Let l be 5*(u + o - 0). What is the nearest to 0 in l, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 781430.2 micrometers?\nAnswer: 781.4302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*4)\/(sqrt(1200)*2 + sqrt(12)).\nAnswer: 20*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12159*r = -12160*r + 4*b + 11, r + 210*b + 845 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:44 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 126687839\nAnswer: -3\/126687839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -88*f - 704. Let a be h(-8). Let i(y) be the first derivative of -16\/3*y**3 + 1 + 3*y**2 + a*y. Find the second derivative of i(b) wrt b.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-12)\/(-176)). What is the second smallest value in -1\/5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w. Let n(h) be the second derivative of -h**6\/360 - 5*h**3 + 24*h. Let b(a) be the second derivative of n(a). Determine b(k(v)).\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-180)\/(-126)*(-7)\/(-2). Solve s*l - 4*l = -5*c - 2, -2*l = -2*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - 2) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.283um to kilometers.\nAnswer: 0.000000194283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = -0*m - z, -2*m - 10 = z. What is the common denominator of m\/2*261\/(-105) and -19\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33694140 by 16847070.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + (84 - 79 - (7 + -1)) - -7) + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.57, -22, 1\/6, 187, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 11000210?\nAnswer: -10222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2. Give w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, 21, 109, 221, 351, 493, 641, 789?\n\"Answer: -j**3 + 21*j**2 + 2*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*k + 2*v, -5*k = -10*k - v + 23. Let z(j) = -6 - k*j**2 + 4 - 1 - 3*j - j**3. Give z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -11caa?\nAnswer: -11ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-206)\/66)\/((-2)\/(-3)). Which is the closest to 0? (a) -0.2 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10289 - 10142. Calculate the remainder when 4408 is divided by w.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23*l - 58 = -21*l, 3*s - 3*l - 63 = 0. Suppose -4*a = -20, 0 = n + 4*a + 8 - 33. Calculate the smallest common multiple of s and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 3263 - 2663 = 0. Solve 0 = -3*k - 5*w - l, 2*w + 35 = -7*k + 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10158 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 4, o: 1, i: 3, z: 7}. What is prob of sequence iogg?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -28) + -80 + 42 + (-34 - 1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -2*n, -5*q + 15 + 10 = -5*n. What is the second derivative of y**2 - 3*y + y - q*y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-81)\/6 - (-9)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 12*y**3 + 251224*y**2 + 41945940*y - 70607800 = 0.\nAnswer: -20767, -170, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, -19005, 2, -0.8, -3, -2\/3?\nAnswer: -19005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 25, 7, -33 in descending order.\nAnswer: 25, 7, -5, -15, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32508 to three dps.\nAnswer: 1.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 11*d**2 - 11*d + 19. Determine h(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1.505, -4, -3?\nAnswer: 1.505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p = 0. Suppose u - 2*x + 7 = 1, 2*u - x + 3 = p. Let v = -4 + 7. Solve -5*f - n + u = 2, 0 = -2*f + v*n + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from ppzpzpzopzzzzzzzzzzz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/(-30) + 10\/(-75). Find y such that -1\/4*y + 0 - 3\/4*y**n - 3\/4*y**3 - 1\/4*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/10)\/((-164)\/410)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035104 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-40 - -6 - -30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 196, 298, 504, 850, 1372?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/3, 2\/35, -6.3, 1 in increasing order.\nAnswer: -6.3, 2\/35, 0.2, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 5*o - 7 - 1. Let x be b(-9). Let z = 58 + x. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)**(-29\/5))**48 assuming g is positive.\nAnswer: g**(-1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/3 - (-112)\/(-20). Let t = 14 + -13. Suppose i + 3 = t. Which is the nearest to r? (a) -0.2 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -2\/15 (c) 1\/18 (d) -1\/4 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)\/k**(1\/3)*k\/(k\/k**(3\/14))*(k**10*k)\/k)**(-4\/17) assuming k is positive.\nAnswer: k**(-662\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 1.1. Let r = g + -1.5. Suppose -k + v - 7 = 0, -4*k + 6*v = v + 32. Which is the closest to 0.2? (a) r (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2207*h**3 + 1235*h**2 + 56295043*h wrt h?\nAnswer: 13242*h + 2470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-15)\/20 + (-1)\/4. Suppose 2*v - j*x - 4 = -7*x, 4*v = -2*x + 38. What is the lowest common multiple of v and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:26 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*s - 153, -368*i = -359*i + 2*s + 71 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**3 - 4*s**4 + 1 + 716*s**2 + 8*s**4 - 717*s**2 as q + v*s + y*s**2 + i*s**4 + m*s**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.173, -2\/7?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2058\/(-63)*(-8)\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001010110 - 11?\nAnswer: -1011001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-4) + 134 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34313.99781042 - -34314. What is s rounded to five decimal places?\nAnswer: 0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3778*f - 974*f - 951*f - 955*f - 958*f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94, 338, 730, 1270, 1958?\n\"Answer: 74*n**2 + 22*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Let q(o) = -1. Let b(l) = -n(l) + 2*q(l). Suppose 10 = -7*v - 32. Let j be b(v). Solve 0 = 2*s - s + j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:50 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42782, -85539, -128296, -171053, -213810, -256567?\nAnswer: -299324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33159*h**2 - 84*h - 468 wrt h?\nAnswer: 66318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 2087*x**2 + 1087848*x - 1089936.\nAnswer: (x - 1)*(x + 1044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692314467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.49 + 0.77. What is k rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n - 3*n)*(3*n - 3*n + 5*n**4 + (-2*n - 2*n**2 + 2*n)*(-1 + n**2 + 1)).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 - 3*v - 13. Let f be m(-6). Let o = f + -2. What is the third biggest value in 1, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/24264 and 137\/72.\nAnswer: 24264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -182 times 1.5\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 4*w**2 - w. Let t(k) = -k**3 - 2*k**2 + k. Let m(b) = 2*t(b) + z(b). Factor m(g).\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -977276 divided by 41.\nAnswer: -23836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighteen fifths of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v + 20 = 0. Suppose x + 1 = v. Differentiate -4*g + 3 + 3 + 2 - x with respect to g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(4 - 4 - 2) - 2284 + 57*s + 2284 + (2 - 1 - 3)*(-s - 2*s + 6*s).\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/25))\/s)\/(s*(((s\/(s\/s**(-31)))\/s)\/s)\/s))**(16\/5) assuming s is positive.\nAnswer: s**(13168\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000901258302 to seven decimal places.\nAnswer: 0.0000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 60\/150. Solve r = -3*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + (-7 + 8 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -3*u + 1\/20*u**5 + 0 + 1\/3*u**4 + 1\/2*u**2 - u**3. Suppose 0 = o + 2*v - 1, -5*o + 1 = -2*v + 32. What is z(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 99 = 4*k, -2*k - 2*n - 43 - 5 = 0. Let q be (36\/21)\/(-3) - k\/7. Suppose -g = -q, -g + 6*g - 131 = -4*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**3\/3 - 3679. Let g(z) = 436*z + 2. Calculate t(g(x)).\nAnswer: -380192*x**2 - 3488*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*d - 2*z, -6 = 3*d - z + 6. Let y = -6.3 + 6.2. Put d, -1\/2, y in increasing order.\nAnswer: d, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001264071 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/8)*h**3)\/(((h*h\/h**(1\/2)*h*h*h)\/h)\/h)**(-48) assuming h is positive.\nAnswer: h**(991\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Suppose -z*t + 7 - 1 = 0. Let a = 2 - t. Which is smaller: a or 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Let u(k) = k - 3. Let i be u(p). Solve z = 1 - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2432 + -2?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1455993 divided by 121.\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158.245l in millilitres?\nAnswer: 3158245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5412 - 4922. Is 514 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3494447130 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u**(-11)\/u)\/u)))\/u)\/u**(-2\/15)*(u**(-2)\/u*u*u*u*u)\/u*u*u**(1\/22) assuming u is positive.\nAnswer: u**(-4231\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 520*n + 654*n + 21 - 1070*n + 15 + 2*n**2 to the form a*n**2 + q + z*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**5\/180 + 25*t**4\/108 - 11*t**3\/27 - 8*t**2\/3 - 79*t - 2. Find h such that y(h) = 0.\nAnswer: -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11901, -11902, -11903, -11904, -11905, -11906?\nAnswer: -11907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdw. What is prob of sequence wd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24384 + 42041. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -79*q + 41. Calculate the smallest common multiple of 45 and l(-7).\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h. Suppose -6*j = -h*j - 24. Solve -j*y + y + 4*a + 3 = 0, y = a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*sqrt(343)*-1 - (0 + sqrt(343) + -1 - sqrt(343))))**2*4.\nAnswer: 280*sqrt(7) + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 576 = 35*y - 197*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -932.3826 to 0 dps.\nAnswer: -932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -5. Let o = -1 + -4. Sort o, -4, u in decreasing order.\nAnswer: u, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 2*d + 29, -5*d - 10 = 0. Let z be 1 - -2*(8 - 6). Let u(f) = -2*f**3 + 3*f**3 - 11 + z + 4 + 6*f**2 + 3*f. Give u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183165 + 549499\/3. Let j = 5 - 4.1. Let r = 1 - j. What is the nearest to r in 12, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*v**2 - 92*v**2 - 570*v + 284*v + 288*v.\nAnswer: -218*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 + 19 - 43)*(6*x - 4*x + 4*x).\nAnswer: -1014*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 30*v**3 + v**2 + v. Let d = -158 + 159. Let b be k(d). Calculate the greatest common factor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p + 3. Let w be q(5). Suppose 385 = -11*l + 407. Is w at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/12388458 and -59\/2739362.\nAnswer: 830026686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*4 + sqrt(187) + ((sqrt(187) - sqrt(187)*1 - sqrt(187)) + sqrt(187))*-6 + sqrt(187) + sqrt(187))\/((sqrt(44) + sqrt(1100))*-4*4).\nAnswer: -11*sqrt(17)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3. Let o be m(-1). Solve -f - o = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and 0.235.\nAnswer: -9.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let l = s + -2. Sort l, 1, -1\/6 in descending order.\nAnswer: l, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k - 3*w + 25 = 0, 0 = -k + 5*w - 23. Suppose 0 = 2*o - k*b - 12, 0 = -o + 4*o + b + 2. Which is smaller: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 857 + -10 - -3*1. Suppose -4*t + 99 = 2*k - 241, 0 = 5*k - t - v. Suppose 5*z - k = -0*z. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 53*v + 298. What is g(44)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/6 + 46*n**2 - 39. Let v(h) be the second derivative of l(h). Let w(r) = -4*r. Give v(w(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -7. Let r = 14 + g. Solve r = w - 3*w - 2*y, 8 = -w - 5*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229851 divided by -8513.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 8*p**3 - 4*p**3 - 3*p**2 - 3*p**3 in the form v*p**3 + c*p + r + s*p**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -0.1, -0.5, -2\/3, 21 in increasing order.\nAnswer: -58, -2\/3, -0.5, -0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 6*w**2 - w - 4. Calculate the lowest common multiple of k(-6) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*g**3 + 95*d**3*g*s - 2*d**3*g + d**2*g**3*s**2 - 1158*d**2*g wrt s.\nAnswer: 95*d**3*g + 2*d**2*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 - -3.13. Let u = h + -0.1. Let n = -14\/13 + 43\/52. Which is the closest to 0? (a) n (b) u (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -0.2, -2.9, -12, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 784. Let q = x + 1237. Let s = q + -550.4. Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*n + 224065, -187483 = -3*w + 8*n + 36517. List the prime factors of w.\nAnswer: 2, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + 2*z + 6. Let y be r(0). Do y and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 3 - (6774 + -6919).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18317 smaller than -17542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 c when three letters picked without replacement from oocsbcoooostoofssbf?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.118 + -0.018. Let w = -4.91 - 0.09. Sort -2\/15, t, w.\nAnswer: w, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*j + 5*o, 3*j + o - 194 = -41. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(18\/(-66)))\/1. Suppose -h*j = 14 + 19. Sort j, 3, -10 in ascending order.\nAnswer: -10, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**2*y**2 - 805*c**2 - 2*c*y**2 + 9*y with respect to y.\nAnswer: -16*c**2*y - 4*c*y + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164962677 divided by 164962677?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -162748508.482 and -12.3?\nAnswer: 162748496.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/38 and -133\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.3 (c) -3 (d) 0.21 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -112*c + 1685. Let u be n(15). Solve -u*v - 8 = 9*t - 6*t, 0 = v - 3*t - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 - 1. Determine q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179981848157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 481, -9758, 3, -2 in decreasing order.\nAnswer: 481, 5, 3, 2, -2, -9758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 24 - 84 = 0. Solve -a = -2*a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*b - 294*b + 684 = -18*b + 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 208 = -236. Let x(v) be the second derivative of 0*v**3 + 0*v**y + 0*v**6 + 1\/24*v**4 + 0 - 11*v - 3\/80*v**5 + 1\/168*v**7. Factor x(s).\nAnswer: s**2*(s - 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*r = -7016 + 2354 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59472\/(-7920) - -8) + 2\/(-5)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a - a. Let l(i) = i - 8. Let q be l(7). Let d be q + (0\/3 - 3). Put d, 5, a in decreasing order.\nAnswer: 5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + -18 + 16 + -13 + 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/6 or -41?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v + 12. Let r be a(-6). Suppose -7*b + 18 = -r*b. Factor 4*l**3 + 12*l**2 - 2*l**3 + 36*l - b*l.\nAnswer: 2*l*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 2, y: 2, n: 4, s: 8}. Give prob of picking 1 j, 1 s, and 2 n.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -48 + 1 + -27 - (-2 - (7 - 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 2}. Give prob of picking 1 j and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290\/291*-3 + 3. Let t = b + -1463\/776. Calculate the common denominator of t and -19\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*h - 165. Suppose -4*j - 4*z + 56 = 0, j + 3*z - 14 = 8. What is the highest common divisor of h and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-8)\/12 - -3). Suppose -d = 4*f - 23. Solve f + 1 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.00070062\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 100. Suppose -q*n + 26*n = 78. What is the smallest common multiple of 4 and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010000 (base 2) in base 14?\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -3 + 13 + -13. Let l(p) = 9*p + 36. Let f be l(z). Which is greater: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 16750\nAnswer: 100500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:09 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4*s + 1. Suppose 2*c = 20*j - 18*j, 2*c - 3 = -j. Let z(v) = -v**2 + v + 1. What is j*a(k) - z(k)?\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 71*h**2 + 1 - 5 + 2 + 5*h - 49*h**2 - 36*h**2. Let k(s) = 7*s**2 - 2*s + 1. What is 5*k(y) + 2*w(y)?\nAnswer: 7*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 29 = -2*x, -2*x - 2*x = -3*h + 91. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/2)\/(m*(m**(-6)\/m*m)\/m)*(m**0*m)\/m**(-22) assuming m is positive.\nAnswer: m**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)\/t)**(-2\/7))**(4\/15)*((t*t*t\/t**(-2\/15))\/(t*t**(2\/3)))**(-31) assuming t is positive.\nAnswer: t**(-1588\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/7*4\/(-36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 10780.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43.4? (a) 3\/7 (b) -0.041 (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, r: 3}. Give prob of picking 1 a and 3 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/144*(-16)\/(-90). Let z = x + -784\/5265. Suppose -4*f - 16 = -0*f, 0 = 5*j - 3*f - 17. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-9))\/(100\/1950))\/(3\/9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 4*d = 21, 27*o - 4*d = 30*o - 1 + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 12839*k. Let j(l) = -4*l. What is c(j(x))?\nAnswer: -32*x**2 + 51356*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/46599 and -43\/439362?\nAnswer: 3075534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14554*w - 14705*w + 1057 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let u be ((-15)\/(-10))\/(o\/4). Let d be ((-10)\/3)\/((10\/(-7))\/((-1085)\/1519)). What is the third biggest value in u, -0.5, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 1 + 2*r**2 - 3*r**2 - 6*r**2 to the form s + x*r + n*r**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 + 2*m**2 - 5*m + 3. Let g(s) = -9*s + 3*s + 7 + 2*s**2 - 3 + 0 - 3*s**3. Let y be -9*9\/(-6)*(-12)\/(-27). What is y*l(h) - 5*g(h)?\nAnswer: -3*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -48, -101, -188, -315, -488, -713, -996?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 45\/22651 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*l = -5*u + 381*l + 1839, u + 2*l = 363. Suppose 2*w + 2*w = 164. Calculate the highest common divisor of w and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*j)*(1 + 0 - 5) + (-2*j + 0*j + j)*(1 + 1 + 1) - 2 + 2 - j - 3*j + 4*j - 3*j + 21*j - 3*j + 3*j + (j - 2*j + 0*j)*(-1 + 3 - 1) - 39 - 7*j + 39.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3377\/6 or -562?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 2*m**5\/5 - 11*m**4\/12 + 16*m**2. Let k(f) = -f**2 + f. Give -2*g(t) - 44*k(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*q*s**4 - 17*q*s**2 + 1919*q*s - 6*q + 4268036*s**4 - s + 1 wrt s.\nAnswer: -408*q*s + 102432864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41282 and -2035?\nAnswer: 39247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 35 = 5*p + 2*h, 0 = -2*h + 10. What is the derivative of 7 + 20*y - p + 20*y + 6 wrt y?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.2 + 10.2. Let b be 3 + 0 - (-25)\/(-9). Let l be 2\/(-28)*(3 + -7). What is the nearest to b in x, -1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 - -253. Let y = -89 + z. What is the highest common divisor of 198 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 59 = 6*n. Is 27 a factor of -3 - 0\/2 - n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2743 in 4, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n + 13*n - 6*n**2 - 52*n + 18*n + 12*n + 3*n**3 to l*n**2 + w*n**3 + g + p*n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 2\/11, -3, 22.\nAnswer: -8, -3, -1, 2\/11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-5) + -10)*(-2435)\/(-974).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 7 = 0. Suppose -4*t - i - 13 = -y, 3*t = -2*y - 4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 3*t + 151, -3*t = -5*y + 12*t + 13*t - 27*t + 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.629 + 0.831. Let a = 5 + -2.5. Let q = a - g. Is 0.1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from jjjljl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -590 + -2?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 521828 and -0.015.\nAnswer: -7827.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8618, 3, 7 in descending order.\nAnswer: 7, 3, -8618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*2*28*15\/60\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.078307 nanoseconds in days?\nAnswer: 0.0000000000017948878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 710360029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = h + 1, 2*h + 4*b = -3*h - 4. Suppose h = 4*n - n - w - 3, n - 15 = 5*w. Suppose 5*t = -3*k - 27, t - 2*k = -4*k - 11. Sort -4, t, n.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k - 11. Let g(l) be the first derivative of -l**2 + 5*l - 5. Let h = 2 - -12. Suppose -x = -2*b, 5*b = -2*x + 2*b + h. Give x*v(u) + 9*g(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2.2, 0.02, -0.2, 0, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 + 8*x**3\/3 - 11*x**2\/2 - 12*x + 3. Let r be b(-9). Let u(q) = q**3 - 6*q**2 - 4. Determine u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a - 14. Let v(p) = -p**2 + 9*p + 13. Let j(c) = 3*r(c) + 4*v(c). Let x(t) = -3*t**2 + 4*t + 5. Calculate -4*j(h) + 9*x(h).\nAnswer: h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -258*x + 264*x + 2*x**3 - 13*x**3 + 5 + 3 + x**2. Let c be n(-4). Suppose 3*a + c = 7*a + 3*q, -3*a + 3*q = -528. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (27 - 24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -11, -64, -7 in increasing order.\nAnswer: -64, -16, -11, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*136\/(-210) - (-374)\/6545.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 - -1 - -1). Let f be ((-6)\/(-2) - 1)*-2. Sort 0, f, 4, s in descending order.\nAnswer: 4, 0, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202011*j**3*s - 852186*j**3 - 2*j*s - s wrt s.\nAnswer: -202011*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*m + 45. What is the smallest common multiple of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, 0.9, -0.4, 0.162 in decreasing order.\nAnswer: 0.9, 0.162, -0.4, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9774.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352 times 6?\nAnswer: 32112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 26*o + 439. Let j be q(-19). Which is bigger: -62 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 6. Suppose -25 = r + 4*z, 7*z + 108 = -5*r + 4*z. Let a be (r\/(-6))\/((-3)\/(-6)). Calculate the remainder when 58 is divided by d(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63228 - 63285.918. Let g = -58 - a. What is g rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let a = 15181\/6 - 2506. Calculate the common denominator of (4\/f)\/((-16)\/194) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*d - 2, -12*d - 82 = 4*i + 2*d + 16*d + 15*d + 45 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.87 + 18.67. What is the nearest to 10 in 0.1, i, -0.12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u + 0)*(7 + 4 + 0) + 4*u + 1 - u - u + u + u + 2*u + (-2*u + 4*u - 3*u)*(2 - 3 + 0).\nAnswer: 18*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k - 38. What is the remainder when 167 is divided by h(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 < 1063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:32 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y**2 - 35*y - y**3 - 6*y**2 + 9*y**2 - 15. List the prime factors of s(19).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 4 (c) 1\/3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3223985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 5 + sqrt(396) + 1*sqrt(396) + -5)**2*-6.\nAnswer: -21384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 10*o - 85 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 18*d**2 - d + 36. What is the lowest common multiple of l(0) and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - j - 2*j**2 + 1 + 0*j**2 + 3*j**4 + 3*j to g*j**4 + x + v*j + f*j**2 + t*j**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164? (a) -3 (b) -2\/11 (c) -0.4 (d) -130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 49*t - 10. Let w be o(4). Suppose 3*j + 201 = 3*r, -3*j + 5*j - w = -3*r. Let s be 204\/26 + 18\/117. What is the greatest common factor of r and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -263 - 70 + 48*i - 147 - 49*i + 88 in the form t*i + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 80 = -7*h. Let q = 72 - 112. Let f = -14 - q. What is the remainder when f is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45\/8 - -479\/88. Let c = -1\/21 - 9\/7. Sort c, n, -0.4 in descending order.\nAnswer: n, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/576*12*32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f**4\/19 + 234*f**3\/19 - 484*f**2\/19 - 66*f\/19 + 324\/19 = 0. What is f?\nAnswer: -3\/4, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -7) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l. Let y be u(0). Suppose 3*a - 6*a + 6 = y. Let b(q) = 3*q**3 - 3*q**2 + q. What is b(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 5*m**3 + 2*m**3 + m**2 + 12*m**3 - 4*m**2.\nAnswer: 8*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -65. Let s = t - -22. Let b be (s\/(-6) - -1)\/((-3)\/(-9)). Solve -b*l = -l - 4, -3*d + 2*l - 23 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, 2, -0.0461?\nAnswer: -0.0461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, -17\/8, 3, -1\/2 in increasing order.\nAnswer: -17\/8, -1\/2, -1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(68) + ((sqrt(68) + -1)*-3)**2)*-1 - (0 + sqrt(1088) - ((sqrt(68) - (sqrt(68) + sqrt(68)*-4) - sqrt(17)) + sqrt(17) - sqrt(17)))**2).\nAnswer: -34*sqrt(17) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {m: 3, w: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a - 5*q = 8, q = 2*a + 1. Suppose -3*y - 15 = -5*l + 13, -3*l = -15. Let d be 4 + y - (4 - 4). Sort d, 5, a.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4535853 or -1?\nAnswer: -2\/4535853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69636 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46311 or 46616?\nAnswer: 46311","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24 (b) -1 (c) -2 (d) 2\/9 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -341, -1, -2\/75, -1\/5, -3\/4?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*l - 4 + 28, 0 = -l + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 256 - 21)*(-2*q**2 - q**2 - 4*q**2) to the form j + k*q + s*q**2 and give s.\nAnswer: 1897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5534221 by -451.\nAnswer: 12271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 11, -399?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 4532.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31565)\/(-246207))\/(10\/18)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let p be f(6). Let u be (-12)\/4 + p - -26. Let i(x) = -24*x + 54*x - u*x. Let b(s) = 6*s. Give i(b(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (341*r - 271*r + 133*r - 2)*(4*r**3 - 2*r**3 - 5*r**3) in the form s*r**3 + m*r**2 + g*r**4 + f*r + h and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2284*t - 2176*t. Factor t + 3\/8*i**2 + 3\/2*i.\nAnswer: 3*i*(i + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*r**3 + 34650*r**5 - 17331*r**5 - 2*r**4 - 2816*r**2 - 17329*r**5 + 12*r**3 wrt r.\nAnswer: -600*r**2 - 48*r - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(1 - 1 + 1)*(3 - 2 + 0)*(41 - 6*a**2 - 41) to the form v*a + p + m*a**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 8*v - 3*v + 4*z, 10 = v + z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.5. Suppose 54 = -4*a - 3*d, 2*a + 2*d = 6 - 34. Let c = a + 17. What is the second biggest value in l, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 = 3. Let z = d + 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 386138154.\nAnswer: -386138153.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**9\/3024 - f**8\/840 + f**7\/840 - f**3\/3 - 8. Let s(j) be the third derivative of g(j). Factor s(n).\nAnswer: n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1623 (base 7) to base 3\nAnswer: 220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19152, 70229, 121286, 172317, 223316, 274277, 325194, 376061?\nAnswer: 426872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*c + (2*c - 3*c + 2*c)*(-1 + 1 - 2) + c + 0 + 0 + 5*c - 4*c + c - 36 + 26 + c - 20.\nAnswer: -2*c - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = 22. Let a(w) = 5*w - 1. Let n(v) = 27*v - 5. Let j(s) = -22*a(s) + 4*n(s). Let x be j(i). Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -8. What is the smallest common multiple of 13 and j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, t: 3}. What is prob of picking 3 a and 1 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 5640845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 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: Solve 749 + 1275 = -55*i - 11*i - 22*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-780) - 15065\/143052\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13*f**3 + 20*f**2 - 9669*f + 3516. Let q(x) = 2*x**3 - 3*x**2 + 1381*x - 502. Let m(w) = 20*q(w) + 3*t(w). Find the first derivative of m(s) wrt s.\nAnswer: 3*s**2 - 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 7331.\nAnswer: -29324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10863749 or 10863750?\nAnswer: 10863750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmv when three letters picked without replacement from mmdxv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -30*p - 216. Suppose -2288 = -5*v - 903. Suppose 2*f - 241 = -5*n + v, -2*f = n - 534. What is the remainder when f is divided by a(-9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3)\/((-63)\/(-6)). Which is the closest to q? (a) -4 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: What is the value of -2 - (5 + -14) - (17 + -20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 236240992 and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5*(-9)\/(-6). Suppose 0*a - 68 = 4*a. Let b = -17 - a. What is the closest to f in -1\/3, b, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -30438.\nAnswer: -1\/30438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53846376 is divided by 17948792.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**2\/2 - 2*z + 4. Let p = -219 + 221. Let i be (0 + -3)\/(-3 + 4). Let x(v) = -3*v - 1. Determine i*x(w) + p*t(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402518886\/13216 + (6\/(-20))\/((-48)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 138 = 11*u. Let v be (2\/(-16)*u)\/((-1)\/4). Is 23 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203123322122 (base 4) in base 15?\nAnswer: c37615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3022?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2745 + -2672. What is the remainder when 168 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((30 - 38) + 4 + 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 10*v**2 + v - 2. What is s(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 3*z - 25. Let b be i(-4). Suppose 0 = -3*u - 3, -5*u = 5*o - b*u - 378. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - b + 732. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9.5. Which is greater: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363 + 100*o**4 - 192*o**4 + 1765*o**5 - 7*o**2 - o**2 + 2*o + 4*o**2 + 89*o**4 wrt o.\nAnswer: 105900*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(408)*3 + sqrt(408) - sqrt(408)) - sqrt(408) - sqrt(408))\/(2*sqrt(12)*6))\/(-6*2*sqrt(18) + sqrt(18) + sqrt(162)\/(sqrt(9)*-3)).\nAnswer: -2*sqrt(17)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b - 3. Let r be (-3)\/15 - 21\/(-5). Sort b, r, 18 in ascending order.\nAnswer: b, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14585685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1 + (-2 - 2 + 2)*(1 - 2 + 0) - 4 + 2 - 1)*(10*q - 16*q + 14*q - 1) to the form v + w*q and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/168*7)\/((-22)\/(47520\/24)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from xxxxxxxxxxxxxxz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058867 to four decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*q + 78 - 19, 0 = -4*p - q + 123. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16499\/2 - -8250. What is the nearest to 0 in -19, s, 5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + 41\/(-4). Let h = 15 + w. Find the second derivative of 0*k**5 - 4*k**5 + 2*k + k**h wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 792*a**3*c**4 + 53*a**3 - 2*a**2*c**4 - 13*a**2 wrt c?\nAnswer: 3168*a**3*c**3 - 8*a**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7338 + 7354. Calculate the remainder when 7659 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:32 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 4*b**4 + 2*b**4)*((1 - 6*b - 2*b + 4*b)*(6 - 4 - 1) + 7*b - 39 + 39 + (-3 + 3 - 2)*(0*b + 0*b + 2*b) - 1 + 1 - b).\nAnswer: -2*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-2)**2 + 3*sqrt(2) + 4.\nAnswer: 3*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4) + 36\/(-81))*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/7 + -173\/126. Find the common denominator of -13\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-56))\/((-4)\/8)*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.42 (b) 2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 + 97. Put d, -1, -2 in increasing order.\nAnswer: d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-40))\/(294\/(-24)))\/(39\/(-7800)*20).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 1. Let q be c(-2). Suppose -2*f - 62 = -g, 303 = -g + 6*g - q*f. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {i: 1, y: 3, t: 1, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 113 - 7. Calculate the remainder when 73 is divided by ((-42)\/9)\/(d\/(-18) - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66656069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2095471 litres?\nAnswer: 209.5471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {t: 6, v: 1, c: 4}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.58853ug in kilograms?\nAnswer: 0.00000009358853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93320 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/7058?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 21?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 + 7*q**4\/24 - q**3\/3 - 15*q**2. Suppose 5*x + 2 = 7. Let w(s) = -5*s + s + s + x. Determine 2*a(f) + 5*w(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533136 divided by 133284.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 + 2 - 6)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) + 14\/4. Suppose 0 = -g - v + 827, -v = -5*g + b*v + 4167. Let h = 571 - g. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/120 and 91\/1296?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l - 11, -3*l + 0*l = 4*o - 22. Calculate the highest common divisor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 - 3*f + 3. Suppose 4*k - 2*k = -d + 7, -4*d = 4. Let u(z) = -3*z**3 + 12*z**2 + 2*z - 5. Let r be u(k). What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 175597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y + 22. Determine b(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*i - 5*k, -3*k - 39 = -5*i + 128. Let d be (1 - 5) + i + 4977. Suppose -17*g - d = -20*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157825 + 157828. Let p(g) = g**3 + 8*g**2 + 10. Let o be p(-8). Suppose -5*n = 3*t - 16, 9*t = -5*n + 4*t + o. Sort -67, r, n, 4 in descending order.\nAnswer: n, 4, r, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -0.5, 91 in decreasing order.\nAnswer: 91, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42910152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.7 + 24. Let w = 5 + a. Let d = w - 5.3000029. What is d rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291\/5 + -58. What is the closest to b in -2\/3, -0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/((-1)\/((-3)\/(-6))). Let p be (-6)\/a + (-85)\/(-140). Let s be 2\/(-1*30\/5 + 4). Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/5485226?\nAnswer: 3\/5485226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1032\/(-301))\/(456\/(-646)).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/50)\/((-4)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/9, -0.3, 1, -2\/7 in decreasing order.\nAnswer: 1, 1\/9, -2\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l + 2. Suppose 0 = -4*w + 16, 3*w = -3*r - 2*w - 49. Let t = 21 + r. What is the remainder when 16 is divided by m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3180)\/66 - (0 - 2\/11). Let u = a - -51. Suppose -u*t + 81 = -0*t. What is the smallest common multiple of t and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203229 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*y + 132*y - 5*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**2 - 12*b**2 - 12*b**2 + (-4 - 4 + 7)*(5*b**2 + 2 - 2) + (4*b - b - b)*(0*b - 5*b + 2*b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1067 or 1056?\nAnswer: 1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 45*l + 4426 - 3026 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23102504\/7 or -3300357?\nAnswer: -23102504\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 9, 14, 9, -12, -55, -126?\n\"Answer: -p**3 + 4*p**2 + 4*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 34460500 + 2801*b**2 + 1512900*b + 927*b**3 + 19339*b**2 - 410*b**3 - 409*b**3 = 0. What is b?\nAnswer: -205\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 360 = -15*s - 420 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*y - 21, -2*v + 5*y - 2*y + 86 = 0. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57483 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181412 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - ((1 - 2) + -1). Let v be (-6)\/m - 864\/(-40). What is the greatest common factor of v and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*v - 2293*v**2 + 381*v + 378*v + 2278*v**2 - 1142*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 - 0.04. Sort -1\/4, -5\/4, q in descending order.\nAnswer: q, -1\/4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(-30*(-301)\/3870).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l - 1\/4*l**4 + 0 - 4*l**2 + 0*l**3. Let d(n) = -2*n. Calculate p(d(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 196*p**5\/9 - 29876*p**4\/3 + 1454588*p**3 - 624092644*p**2\/9 + 67898976*p = 0?\nAnswer: 0, 1, 841\/7, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182.997968 - -183. What is q rounded to 5 dps?\nAnswer: 0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 6. Let w(j) = j**2 - 7*j + 27. Let y be w(4). Let l = y + 50. Calculate the remainder when l is divided by v(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 469647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 13) to base 16.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -128. Let u = -26 - c. Suppose q = 7*q - u. Solve -q*k = 4*x - 6, -3*x = 3*k - 4 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34693 equal to -34693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - ((-793824928)\/(-96) + 2\/(-3)). What is t rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9217 - -0.0783. Which is the smallest value? (a) 0.2 (b) n (c) 0 (d) -19\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 + 9*u + 2. Let z be r(-9). Suppose z*f = -4*v + 24, -2*v + 33 = 4*f + 9. Let i(q) = 2*q**2 - 7*q + 4. Give i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121211022 (base 3) in base 7?\nAnswer: 162101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -34. Suppose 0 = y*h - 10*h + 792. Is 39 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 + 27 + 21*p.\nAnswer: 21*p + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 + 78 + 10*r - r - 5*r + 4*r - 2*r - r + 5*r + (-2 + 1 + 2)*(2*r + 0*r + 0*r) + 2*r + 4 - 4 - 4 + 3 - r + 3 to m*r + a and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1246003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 332293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*2 - (-4)\/2. Suppose 0 = 2*s - 5*t - 509, -66*t - 1263 = -5*s - 63*t. Suppose s = v*j - 7*j. Calculate the greatest common factor of j and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 o when three letters picked without replacement from jxzzoxjjzxjzxxjxxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -385, -668, -1057, -1558?\nAnswer: -2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10545.6 - 0?\nAnswer: -10545.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36963?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55*(-129)\/9460)\/((-6)\/(-352))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4157 (base 13) to base 14.\nAnswer: 340d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 987689037 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 4*t + 156 = 10*t. Solve -3*o + 18*i = 17*i + 8, -t = o + i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + (-3 + -3 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*c**3 + 3*c + 6*c - 86*c**3 - 177*c**3 - 9*c + 448*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 6588 + 1238. Suppose -6*o + 734 + x = 0. Calculate the remainder when o is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 5:06 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(700)*1 + (sqrt(700) + -1)**2 + -1 + 2*sqrt(700)*5)*-3 + -5.\nAnswer: -2090 - 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. Suppose 2*i + 2*i - 14 = -3*h, -b*h = -2*i. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**0*p*p))**39*p**6*p*p*p**4 assuming p is positive.\nAnswer: p**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5945, -5910, -5875, -5840, -5805, -5770?\nAnswer: -5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 630 - 5672\/9. Suppose -3*o - 5*h = -9, -5*h - 3 = -3*o + 2*o. Suppose 3 - 9 = o*k. What is the second biggest value in 4, -1\/8, s, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 15 + 6 + -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/3, 165120 in decreasing order.\nAnswer: 165120, 2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-153)*(-311389)\/(-5636).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/7 + 15900*f**2\/7 - 15896*f\/7.\nAnswer: -4*f*(f - 3974)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 23*n**2 + 0*n - 4*n.\nAnswer: -17*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52807066 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 13)*(41 + 213 - 48 + 2 - 1 + 2 + (-1 + 1 + 2)*(1 - 3 + 4))*(0 - 2 + 0)*(2*b - 4*b + b) as l*b + s and give l.\nAnswer: 5538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10*(2 + (-23)\/46)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l - 3*l - l)*(l + l - 3*l)*(-46*l + 103*l - 5*l**2 - 53*l) to c + x*l**2 + m*l**3 + d*l**4 + k*l and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 163.087. What is f rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from xtxtxehrjrt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let y(u) = -12*u**2 - u + 5. Let h(b) = -5*a(b) - y(b). List the prime factors of h(-6).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 44*y**2 + 85*y + 5730. Give n(-45).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b = -104*b - 256 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 28, 29?\n\"Answer: f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -35\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 166 * -1284601\nAnswer: -213243766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/177276 and 145\/20856.\nAnswer: 354552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18797584*t**5 + 3192013*t**2 - t wrt t?\nAnswer: 1127855040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - (-207)\/322. Let w = -125 + 433. Let p be (-1)\/4 + (-11)\/w. Put d, p, -2\/5, -0.1 in increasing order.\nAnswer: -2\/5, p, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {m: 7, k: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4) + (20 - 47).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222211 + -103?\nAnswer: -2222320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516028?\nAnswer: 2, 379007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -18.99999958. What is q rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2021202122202211?\nAnswer: 2021202122202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**5\/55 - 105*v**4\/11 + 1966*v**3\/3 + 22260*v**2\/11 + 22472*v\/11 - 254. Determine l, given that t(l) = 0.\nAnswer: -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1234 and -3\/617?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -32, -100, -234, -458, -796, -1272?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - 44 = 0. Let t = 24 + u. Let f = 10 + -3. What is the remainder when t is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 20*x - 264. Let s be b(35). Let j = s + -434. Let p = -2 - -2. Solve -3*d + j*n + 1 - 11 = 0, -5*d + 2*n - 14 = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23055463215 + -2?\nAnswer: -23055463220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 23252632*y + 67585611865928 = 0. Calculate y.\nAnswer: 5813158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158411523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 times -125.49?\nAnswer: 803.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.66?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g + 4 = 0. Let d be 16\/9 + g\/(-9). Put d, -4, -2\/7 in decreasing order.\nAnswer: d, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*s + 15 = 816*s - 1632*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 116*l - 110*l. Let r be (-1)\/(5 + l) + (-358)\/(-12). What is the highest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-50) + (-1603)\/35 + -3\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 2*x**2 + 2*x - 2. Let o(g) = 11*g**2 + 10*g**3 + 11*g - 11 - 66*g**2 + 15*g**2 + 29*g**2. Give 33*m(f) - 6*o(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -96. Let h be w\/(-20)*10\/(-3). Let p be h\/(-9) - (-5)\/3. Solve -p*i - 23 + 3 = 2*d, 5*i = -3*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*j - 340. Suppose -277*g + 60200 = -84*g + 87*g. Let l = j + g. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213536 and 113441.\nAnswer: 3630112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 25*r + r + 39*r)*(3 + 2 - 3 + (3 - 2 + 3)*(3 + 2 - 4) - 1 + 3 - 3).\nAnswer: 335*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46494102145 - 0.3.\nAnswer: -46494102145.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 + 5*n + 8. Let l(h) = -h**2. Let s(w) = w + 2. Let c be s(-5). Let a(q) = c*l(q) + y(q). What is the tens digit of a(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**2 - 50*l + 25. Let o(q) = 3*q**2 - 10*q + 5. Let n(w) = -2*j(w) + 11*o(w). Calculate n(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 + 5*x + 10. Let j = -67 - -73. Let y be c(j). Suppose y*g = -g + 485. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143124634 - -4?\nAnswer: 143124641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 c when three letters picked without replacement from pcidd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*s + 0 + (-2 - 3 + 3)*(-16*s - 14 + 14) + (-4 + 2 + 3)*(3 - 3 - s).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by (-132)\/2310 - 1054\/(-70).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r + 6. Suppose -5*v + 2 = -r. Let b = 2 - v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 6*v + 34. Calculate j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2318515429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:01 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 61 = -5*f, -4*z + 5 = -213*f + 214*f. Solve -f*o + 35 = -20*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (24\/(-72) - -9). What is i in -4\/3*i**3 - 2*i**2 + x + 0*i = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1520930 divided by -5\nAnswer: -304186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*c - 13 = 0, -2*c + c - 7 = -3*h. Suppose -h*l - 12499988 = 5*j, -3*j = j + 5*l + 9999985. Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*c + 3 = -3*c, -8 + 55 = -21*u + 3*c - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-170)\/(-4))\/(5 + (-712)\/144). Suppose -4*g + z = -119. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (18 - 9 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204792529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*o + 345 - 93 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4\/7 - 88904*k**3\/7 + 533664*k**2\/7 + 2134016*k\/7 - 813056 = 0. What is k?\nAnswer: -22232, -4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrmjvqjvrr. What is prob of picking 2 r?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -287*f**5\/60 + 29*f**3\/2 - 140*f**2. What is the derivative of k(y) wrt y?\nAnswer: -574*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462696 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 310303?\nAnswer: -310313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90621.\nAnswer: 3, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99))*6 - (sqrt(99) + 4*sqrt(99)*1))\/(-3*sqrt(900)*2 - sqrt(900))*-1.\nAnswer: -11*sqrt(11)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/60 - a**3\/15 + 3*a**2\/10 + 7*a. Let k(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690 - 690. Let d(u) be the first derivative of 0*u - 2\/5*u**5 + q*u**4 + 0*u**2 + 6 + 2\/3*u**3. Find the third derivative of d(x) wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 4 - 428*l**2 + 429*l**2 + 1. Calculate b(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.811951 rounded to 3 dps?\nAnswer: 5.812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128321 by -23.\nAnswer: 128321\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151538 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/48 and (-3)\/(-2) + (-309)\/72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3398? (a) 4\/3 (b) 3 (c) -3\/4 (d) 5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 875500?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(26\/8). Let w = -2 + 2. Let x = 0.9 - 0.5. Which is the nearest to 1\/3? (a) h (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-9))\/((15686\/(-138))\/31).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145842757.2 rounded to the nearest 10000?\nAnswer: 145840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 3*h**5 - 6*h**5)*(-1 + 1 - 1).\nAnswer: 9*h**5 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-4) + 7\/(-28). Let a be (0\/(-4) + v)*-1. Let w(d) = 6*d**3 - d**2 - d. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 27*f - 30*f - 10*f**3 - 26 + 54.\nAnswer: -10*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1774 and 21778511.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) - 10\/(-6). Let c be (18\/27)\/((-2)\/(-6)). Suppose 4*x - c*x = -t. Let r(w) = 2*w - 1. Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 166722*s + 6949056321.\nAnswer: (s - 83361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 80*a - 2856. What is the units digit of r(76)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4069, -4, -3, 2 in ascending order.\nAnswer: -4069, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6*c = 660. Let a = -103 + c. Suppose 21*l - a*l = 56. Solve l + 4 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -137\/3. Suppose 2*p + 0 = 4. Suppose p*i = -i. Are b and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:21 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 64. Let j = 56.8 - m. Let x = j + -5.18. What is x rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*j - 4. Suppose 6*l - 1497 = j*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 72 + 10*n**4)*(808 - 2424 + 806 + 321*n + 810).\nAnswer: 3210*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 612.2 + -665. Let x = 52.9 + k. Let s = 13 - 8. Which is the second smallest value? (a) -1 (b) s (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -130.92. Let c = 0.42 - p. Put 1, -9, c, -5 in ascending order.\nAnswer: -9, -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 127*u**3 - u**2 - 3. Suppose -5 = 5*k, 5*k + 3 = -3*p - 11. Let h be (-70)\/(-14) - 9\/(p\/(-1)). Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*z**4 + 135*b**3*z**3 - 4*b**3*z + 12*b + z**4 + 2*z**2 wrt z?\nAnswer: 24*b**3*z + 810*b**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11 - (179 - 170)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 12*x - 9. Let d be l(-13). Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 70 = -5*w + 55, -4*w - 70 = -z. Let i = -44 + z. Let c(b) = i + 5*b - 3 - 10 + 6. Calculate c(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + m - 3*m = 0, 3*m - 12 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**4\/24 - 4*b**3\/3 - 8*b**2. Let m(k) = -1. Calculate -l(y) + 6*m(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*p - 536775 = 6589*p for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -41.493 - 5582405699\nAnswer: -5582405740.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 3*m + m)*(7*m**2 - 4*m**2 - m**2) + 37*m**3 - 22*m**3 - 58*m**3 to the form p*m**3 + v*m**2 + q*m + c and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 16. Suppose 6*u - 7*u - 101 = 0. Let f = 101 + u. What is m(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x + 345. Let k be n(-23). Solve k = m - 5*w + 1 + 3, -5*w = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1.7 (c) -479\/5 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/(-10) - 10\/25. Suppose q - 3*d - 6 = 0, q - 16*d - 11 = -14*d. Calculate the greatest common divisor of w and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:56 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1202220100212?\nAnswer: 1202220100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c59 (base 16) in base 11?\nAnswer: -21a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 401 = 2. Let h = x + -32. Let f = h - 71. Calculate the highest common factor of f and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -29*y**2 - y. What is b(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -1b2?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -945 + 1056.08. Let l = -111 + q. Which is the biggest value? (a) l (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 11*c. Let l(y) = 10*y - y**2 - 2 + 2 - 1 + 5*y**2. Let z(k) = -4*l(k) - 3*s(k). What is the tens digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 28283*a + 13*a**2 - 54000*a + 25717*a - 3*a**2 - 3*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 21221?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 598344, 2393344, 5385018, 9573372, 14958412, 21540144?\n\"Answer: a**3 + 598331*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.08. Let d = s + -1.85. Let y = d + 1.8072. Round y to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.199 to one dp.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2543 is divided by 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(468)*-1 + sqrt(468))*-1 + 4 - (3*-4*(sqrt(468) + 2) + 3))**2.\nAnswer: 1800*sqrt(13) + 17473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-11))\/(34\/187).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2)\/g*g))\/g)\/g**(-9) assuming g is positive.\nAnswer: g**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 3*r**3 + 3*r**2 - 5*r**2)*(-r + 3*r - r).\nAnswer: -2*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 24*g + 63. Determine y(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u + 59*u = -5*p - 14932, 5*u + p = 24924. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -55.989. Let o = 0.011 + b. What is the nearest to 6 in o, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10 = 2*w. Suppose -n = -w*n + 4. Find v, given that -1\/6*v + 0 + 1\/3*v**n - 1\/3*v**2 + 1\/6*v**5 + 0*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -4. Let o be ((6\/9)\/2)\/((-2)\/(-18)). Suppose 0 = -o*r - f + 33. Solve 2*w - 10 = 6*w - 2*z, r*w = -2*z - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*f + 6*f - 2*f)*(1 + 2 - 1) + 23*f + 35*f - 57*f)*(5 - 2 - 1) in the form c*f + d and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165034450?\nAnswer: 2, 5, 23300689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + c = -13, 0*t + 5*c + 17 = t. Suppose 4*g - 5*l + 15 = t, 0 = -2*g - 4*l. Is g not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.546002l?\nAnswer: 3546.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**3 - 269*l**2 - 151.\nAnswer: 6*l**2 - 538*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 3. Let p be w(-2). Let f(s) = 2*s**2 + 2*s - 16. Is f(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -424 or -36962\/87?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, x: 2, m: 8, p: 1, l: 1}. What is prob of picking 2 m?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - 5. Let a = x + 0.9000013. What is a rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*g + 31 = 0, -4*m - g - 3*g = -116. Is 1721*1 - (-162)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*s**2 - j**3 + 23*j**2*s**3 + 9*j*s wrt s.\nAnswer: 2*j**3 + 138*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 37, -96, 1, 5 in decreasing order.\nAnswer: 37, 5, 4, 1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.7 + -3.8. What is the second smallest value in 3, h, -0.2, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 8*y + 3. Let j be x(8). Let o be -8*((-1266)\/21 + (-2)\/(-7)). Suppose -o = -19*t - 195. Solve j*w = 3*n - 9, 4*w + 2 = -n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12.03. Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*a - 75 + 75 - a - a + 0*a - a + 0*a + 2*a + (-4*a + 7*a - 2*a)*(-1 + 2 + 1).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 9*d - 9. Let n be (-5)\/(-2)*-4 + 0. Let z be u(n). Suppose -z = -k + 6. Solve k = 2*x - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1806\/98 + (-6)\/14. What is the third derivative of -4*f**2 + c*f**2 - 2 + 2 + 2*f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 24*i + 3. Let z be l(-24). Suppose -15*t = 3*j - 11*t + 3498, z*t = -5*j - 5841. What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*m = -3*m + 12, g + 7 = -3*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161210356.\nAnswer: 2, 40302589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 - 8. Let w = z + -0.7. Is -4 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23453.\nAnswer: 47, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20361064 divided by -28597\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-936)\/(-16)))\/(5\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3614071.\nAnswer: 1483, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.6 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135 - 2*b**3 - 135 - 5*b**4 + (0 - b**4 + 0)*(-6 + 0 + 3) + 0*b**4 - b**4 - 10*b**4.\nAnswer: -13*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**0)*h)\/h*h*h)**22*h**(-1\/12)\/(h*h**(-2\/5))*(((h*h**(-1))\/h)\/h)**(-1\/25)*(h**(-1))**(5\/4) assuming h is positive.\nAnswer: h**(4811\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36351\/3020 - 241\/20. Let w = m - -161\/755. Find z, given that -w - 1\/5*z**4 + 4\/5*z - 6\/5*z**2 + 4\/5*z**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.1 in -2, 0.4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202022 (base 4) in base 6?\nAnswer: -500442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28079, 28077, 28075?\nAnswer: 28073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176451 (base 9) in base 6?\nAnswer: 2203544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 412631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2157.9224 to the nearest ten.\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15017?\nAnswer: 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0 - 21\/((-42)\/(-32)). Let k(r) = -r**3 - 18*r**2 - 31*r + 16. Let o be k(g). Let y be (0 - (-2)\/(-3))*-3. Solve -y*u + o = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10391 - 10371. Calculate the greatest common factor of 3940 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -60. Solve -5*c - q = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10715*m**3 + 27*m**4 + 2559*m**3 - 29*m**4 + m to y*m**4 + i*m**3 + l*m + a*m**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59472*a + 15129*a + 16453*a - 75*a - 9693*a)*(-1 + 1 + 1).\nAnswer: 81286*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 137*c + 3. What are the prime factors of k(-16)?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 - 2 = 0. Suppose -5*h - 4 = 4*l, 5*h - l = o - 1. Solve 2*p - 6 = 0, -u + 3*u - 3*p + 9 = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(539) + sqrt(539) + 1)**2 - (sqrt(11) + 1)*1)*1 - ((2*sqrt(1375))\/((2*sqrt(10))\/sqrt(2)))**2.\nAnswer: 28*sqrt(11) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 2. Let v(s) = s + s**2 + 0*s**2 - 10*s + 0*s**2 - 74. Let p be v(14). Let u(l) = 1 - 3 + 3. What is p*u(z) + q(z)?\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + 42. Let w be 4\/18 - x\/252. Let l = 103\/5 - 613\/30. Which is the nearest to 1\/4? (a) -3 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11706760 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/10 - f**4\/24 + 3*f**3\/2 + 6*f**2. Let x(s) = -4*s + 8 + 5*s**2 - 5*s + 9*s. Let b(o) = 4*a(o) - 5*x(o). Factor b(y).\nAnswer: -(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1427*q - 1453*q = 0. Put -44, q, 1 in decreasing order.\nAnswer: 1, q, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.5, -0.452, 0.5?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 696 - 131. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((544 - 480) + -1 + -11)*2\/(-2)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29979700, 29979693, 29979686, 29979679?\nAnswer: 29979672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -40. Let m = d + 0. Which is the biggest value? (a) m (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -9.5, 13, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/287 - -9\/41. What is the smallest value in l, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 9007 + 0*p**3 + 2*p**3 - 22*p**2 + 9012 + 4*p - 18022 to t*p**3 + y*p + r*p**2 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(500) - (sqrt(500) + 1)))**2*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6372250\/3 or 2124084?\nAnswer: 6372250\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = -3. What is the units digit of ((-3)\/i)\/((-6)\/(-72))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1814*b**2. Let j(i) = 3*i**2. What is y(j(n))?\nAnswer: -16326*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39 + 2\/(1 - 3). Suppose -5*m = -2*d + 4 + 3, 2*m + b = 4*d. Let r(z) = -8*z - 9. Calculate the remainder when r(-5) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 173*t - 1721. What is y(8)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10867*c**2 - 11816*c + 133312309.\nAnswer: 21734*c - 11816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*a + a = 47, 0 = 2*n - 2*a - 14. Suppose 14*z = n*z + 130. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 3. Let o be r(3). Suppose -24 = -6*p + o*p. Let m = p - -22. What is the remainder when 26 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69659665.\nAnswer: 5, 13931933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*u - 6 + 1, -x - 5*u = 1. Calculate the lowest common multiple of x and 29 + 0\/(-2 - 1) + (-301)\/(-43).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10508 - -27585. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21795.64907 to the nearest one hundred.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009778049 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -400 + 11*d**3 - 2*d**2 + 403 + 0*d - 3*d**3 - 8*d. Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1513054 (base 7) to base 5.\nAnswer: 23031103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30883203884 take away -3?\nAnswer: 30883203887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -23*q + 5. Let i be k(-5). Suppose -2*b + 7*b - i = 0. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 277716*h**2 + 3*h + 7. Let i be m(8). Let v = -27073853 + i. Let j be (-8)\/20 + v\/5. What is j rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:53 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 10. Let r(z) = z**2 - 1. Let t(l) = d(l) + 2*r(l). Let n(c) = 2*c. Calculate t(n(k)).\nAnswer: -4*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*c + 986 = -607*c + 304*c - 58*u, 0 = 4*c - 2*u - 34 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 4920.\nAnswer: 4933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**3 + 30*s**4 - 15*s**4 + 3*s**2 - 16*s**4 to y*s**3 + w*s**2 + t*s + x*s**4 + m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 158 - 158 - 2*s**2 in the form x*s + u + k*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238 * -0.5.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + l + 285 = 262, 0 = -2*i - 2*l - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*m = 30, -29 = 4*o - m - 34 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337 is divided by 1074.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 31. Let u = -75319\/16 + 4712. Calculate the common denominator of u and (68\/w - 2)*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -97089 - -388357\/4. Let u be (4\/9)\/(2\/(-3)). Which is the fourth smallest value? (a) u (b) g (c) -3\/4 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411572 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 3*k)*(7 - 26 + 16).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3069437 to the nearest one thousand.\nAnswer: 3069000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 37 (c) -143 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (sqrt(180) - -1*sqrt(180) - sqrt(180))*-1)\/sqrt(10))\/((sqrt(9) + sqrt(36)\/sqrt(4))*2 - 1*sqrt(576)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 907*p - 2711. Give z(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 3*g, 0 = -3*a - 3*g. Let p(u) = -2*u - u + a*u. What are the prime factors of p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 14) in base 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/37*(3\/(-1))\/(-36)*-5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 6*u + u**2 + 12*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) - sqrt(539)*3)*6.\nAnswer: -120*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2284 - p**2 + 1705 - 2*p - 13*p**2.\nAnswer: -14*p**2 - 2*p - 579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -15. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**3\/2 + l**2\/2 - 2*l. Calculate the remainder when g(-1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*l - 107*l = g, 5*g = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 178. Let h(w) = -w**3 - 6*w**2 - 2*w + 11. Calculate the remainder when y is divided by h(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.7, 1\/3, -3, 7, -0.016, 14\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3*10\/45)\/(4\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265443 is divided by 2413.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*q**5 + 103*q wrt q.\nAnswer: -2220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89280 = -45*h + 33*h + 48*h. Is h smaller than 2480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4048, 4052, 4070, 4108, 4172, 4268?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 930530878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(((-20)\/6)\/(12\/9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7431 is divided by 561.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/28 - (-39)\/(-12). Let f(a) = 3*a - 3. Let m(c) = -2*c - 1. Let g be m(2). Let l(k) = -2*k + 2. What is g*l(w) + i*f(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198861639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4502 = -3*z - 3*k - k, 0 = 2*k + 8. Suppose 12*f + 498 - z = 0. Calculate the lowest common multiple of 108 and f.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30 - (-11097)\/1215\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:58 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-45))\/(((-72)\/9)\/24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -248 + 589 - 5*p - 302 + (2 + 0 + 0)*(p - p - p) in the form k + j*p and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**2 - 7*i + 9. Let d(j) = -6*j**2 - 3*j + 5. Let k(n) = -7*d(n) + 3*g(n). Differentiate k(r) with respect to r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/14*l**7 - 1\/6*l**3 + 0*l**6 + 0 + 0*l**4 + 0*l**2 + 0*l**5 + l. Find the second derivative of v(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55000.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359840 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrqrr. What is prob of sequence qrrq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 631, 628, 625, 622, 619, 616?\n\"Answer: -3*z + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l - l**3)*(3 - 2 - 9)*(-l - l + 0*l) as f*l + n + q*l**3 + w*l**2 + m*l**4 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1703576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69530 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442013 divided by 1.\nAnswer: 2442013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.10849 years to months.\nAnswer: 889.30188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 112*a - 50*a + 413 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -55. Suppose 4*a = j*o - 784, -4*a - 537 = -4*o + 515. Differentiate 0*t + 19*t**2 + 284 + 0*t - o wrt t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6440)\/(-345)*18\/4. What is the greatest common factor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - a = -13, -w - 3*a + 11 = 2*a. Suppose 1 = -j + w. Solve -20 = r + 3*r - 4*k, 15 = j*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 61*j**2 + 77*j. Let f(n) = 120*n**2. Give c(f(k)).\nAnswer: 878400*k**4 + 9240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1. Let d(z) = -24*z - 32. Let j(g) = -d(g) - 32*y(g). Let h(l) be the second derivative of -l**4\/12 - l - 122. Determine h(j(v)).\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878946?\nAnswer: 2, 7, 29, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 4, x: 1, m: 1}. Give prob of sequence xu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Let v(z) = 11*z + 596. Let p be v(-54). Solve s - 2 = p*q + 1, 5*s = -o*q + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/5)\/(175\/(-200)*(-2)\/14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let x(c) = -6305754*c. What is y(x(n))?\nAnswer: 6305754*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41324321 (base 6) to base 14\nAnswer: 230c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/(l\/(l*l**(2\/3))))**(-12\/17)\/(l**(2\/9)\/(l*l*(l**6*l)\/l))**(1\/26) assuming l is positive.\nAnswer: l**(6679\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1934701*z**3 - 71973*z**2 + 13?\nAnswer: 11608206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - g**3 - 3*g**3 + (-8*g**3 - 19*g**3 - 2*g**3)*(-1 + 0 + 2).\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + 3183*j - 12677. Calculate b(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/3*i - 8\/9*i**2 + 0 + 1\/9*i**3 = 0 for i.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 + 336. Calculate the remainder when 287 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k - 7. Let x be (-1 - -2)\/(-3)*-21. Let m(r) = -9*r + 5. Let z(f) = x*m(f) + 5*b(f). Let d(j) = -2*j. Calculate z(d(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*d, 5*q + 38 = -3*d - 0*d. Let a be 195\/q*(-80)\/12. Let y = a + -89. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 - 29*j**2 + 11*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/70)\/(((-4)\/(-18))\/(12\/9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, 2058, -1 in ascending order.\nAnswer: -1, 1, 3, 5, 2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/12 - y**3\/6 - 14*y. Let f be v(2). Suppose -3*x + f*x = 4*w - 191, -w + 5*x = -32. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 572\/55) + 28\/45\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 3 + 4 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986 a factor of 69289648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose -z*y - 20 = -2*y. Let w = 1 - y. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 1, f: 2, w: 4}. Give prob of sequence zxx.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -6. Let r(g) be the third derivative of -1\/2*g**t + 1\/60*g**5 + 0*g**4 + 3*g**2 + 0 + 0*g. Differentiate r(o) with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6704*y + 12806 = -301*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002817393 rounded to 6 dps?\nAnswer: -0.002817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 523143 (base 8) to base 16\nAnswer: 2a663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2112)*-3*6)\/(sqrt(3) + -1*sqrt(48) - (sqrt(192) + sqrt(192) + sqrt(192)*-2 - sqrt(3))))*2.\nAnswer: 2 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 8197 = -22*z. Let v = z - -2331. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79638.52ug in kilograms?\nAnswer: 0.00007963852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(17))*-6 - sqrt(17))*2 - -3*sqrt(833)*-2)*4.\nAnswer: -224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p + 15. Let u(f) = -f + 1. Let m(g) = -r(g) + 12*u(g). Suppose 13 = 3*d - 2. Let z(i) = -d*i + 2*i + 2*i - 1. Calculate 2*m(l) - 5*z(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -784229.766 rounded to the nearest one hundred?\nAnswer: -784200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.12 (c) 2 (d) -70\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/75807211 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 63*j - 4416 = 67*j, 4*u - 3546 = j. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322070, 644166, 966262, 1288358, 1610454, 1932550?\nAnswer: 2254646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 127. Let a be i(0). Let f = -112 + 114. Suppose 4*r + 56 = -l + 2*l, f*l - a = 5*r. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/4 - 0. Let u = 4.9 - 3.9. Which is the third smallest value? (a) 2\/5 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -317 (b) 2\/2261 (c) -0.4 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwwmwromwowowmmwm. Give prob of sequence mo.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6894 by -12803.\nAnswer: 6894\/12803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91999, -92057, -92127, -92209, -92303?\n\"Answer: -6*c**2 - 40*c - 91953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(160)\/sqrt(4))\/((sqrt(48)*-2)\/sqrt(6)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 32*b**2 - 110*b = 0. What is b?\nAnswer: -11, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 198, 962, 2842, 6396, 12182, 20758, 32682, 48512?\n\"Answer: 93*x**3 + 113*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:23 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 8. Let r = i - 1.07. Let h = r - -0.069925. What is h rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6947 is divided by 89?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*u*w**4 + 7*u*w + 25093*u + 5*w**3 wrt w?\nAnswer: -492*u*w**3 + 7*u + 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.267 - -2179148\nAnswer: 2179147.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48117 - -48208. What is the remainder when 190 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*i + 158171 = 357*i + t, -5*t = 5*i - 263615. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -5*j - 0*j, 4 = 2*j + 5*p. Solve -c + 2 = -j*c - 2*z, -c = -z + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 3*a + 3*a - a**2 + a**3 - 6*a. Let d = -5 + 8. What is the remainder when d is divided by f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500ab4 (base 13) to base 11\nAnswer: -105a196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/((-750)\/63) - 15\/(-6). Let d = 0.02 + -0.02. Let b = d - -1. Put i, b, -0.3 in ascending order.\nAnswer: -0.3, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k + 8. Is d(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 9*t**2 - 14*t - 65. Let k(f) = 5*f**3 - 45*f**2 - 71*f - 360. Let d(m) = 11*a(m) - 2*k(m). Give d(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1425 - -14400. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230523 (base 6) to base 8\nAnswer: -46263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/13 in -2\/3, -3\/7, 1, -21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z**(-1)*z)\/(((z\/z**(-2\/7))\/z)\/(z**(-1\/11)*z)) assuming z is positive.\nAnswer: z**(587\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/20 + 7*w**4\/12 + 4*w**3\/3 - 3*w**2\/2 + 2*w - 249. What is j(-7)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 less than 16162?\nAnswer: 16244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*o - 70*o - 138 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*l**3*n**3 + 26*l**3*n + 228*l**2*n - 2*l*n**3 - 2 wrt l.\nAnswer: -54*n**3 + 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563340 or 563341?\nAnswer: 563340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l - 2. Suppose -5*w = 3*i - 29, -3*i = -4*w + i + 4. Give d(w).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5\/7 + 4808*n**4 - 795648*n**3 + 33247872*n**2 = 0.\nAnswer: 0, 84, 8246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -10*o + 11. Suppose -5*w + 160 = 5*d, w - 3 + o = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 4*t**2 - 3 + 3 + t**2 + (4 + t - 4)*(-4*t - 3*t + 5*t) + 16*t**2 - 57*t**2 - 3*t**2)*(-2*t + 2*t + 2*t**2)*(1 + 0 + 4).\nAnswer: -430*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:55 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -21) + (25 - 49 - -44).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = -42 + 172 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17068 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -131, -139, -153, -173, -199, -231?\n\"Answer: -3*r**2 + r - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 171005.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 824.11686 to 0 decimal places.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*4*-3 + sqrt(1440))\/((2*(sqrt(96)*2 + sqrt(96)))\/sqrt(12)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005639 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 - 76?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q**4 + q**3 - 3*q + 52. Let f(c) = -20*c**4 - 2*c**3 + 4*c - 51. Let p(u) = 3*f(u) + 4*s(u). What is the first derivative of p(v) wrt v?\nAnswer: 64*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 463908 and 0.0680283.\nAnswer: 463908.0680283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(1\/3))\/l*l\/(l\/(l\/(l\/(l**(-16)*l)*l*l))) assuming l is positive.\nAnswer: l**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 31969, -396, 9 in descending order.\nAnswer: 31969, 9, -1, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/160844 and -103\/438.\nAnswer: 35224836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2896 - -2891. Let m = 14 - 12. Let n(r) = -12*r + 3*r**m + r**3 + r**2 - 7 + 4*r. Give n(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 3, l: 2, x: 8}. Give prob of sequence jx.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:09 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -98. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8864899805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 4*n - 12. Let f be k(-5). Let i(x) = -x**2 - 7*x + 6. Determine i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + (-3 - 3) - (-58 + 71)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose 3 = 3*z - 3*h, -8*z + 5*h + 3 = -y*z. Suppose -p = -6 + z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/34 + 2728\/68. Suppose -5*h + 32 + 43 = 0. Suppose z - y = -h. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, 4, -27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.316*169\nAnswer: 53.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**4 + 32349*z**3 + 223394*z**2 wrt z?\nAnswer: 24*z + 194094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*3)\/(sqrt(810) + sqrt(810) + (sqrt(810) - sqrt(810)*-1) + sqrt(810)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 192*l - 1983. Calculate j(-18).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 980 + 1032*h**2 + 2100*h + 233*h**2 - 4693*h**4 + 150*h**3 + 4698*h**4.\nAnswer: 5*(h + 1)**2*(h + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 56867*f - 7154. Let k(r) = 223*r - 28. Let x(i) = 511*k(i) - 2*y(i). Let s(l) = 40*l**2. What is s(x(n))?\nAnswer: 1918440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q - 51. Determine k(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.4, 71979, -4\/7?\nAnswer: 71979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-6*(-6)\/(-6)))\/((-1)\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3673 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 150 - 117 = 0. Let o(a) = 57*a**2 + 33*a + 33. Let x(b) = -7*b**2 - 4*b - 4. Give t*x(r) + 4*o(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2182 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1391598 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Suppose 11 = 4*p - 5. Is y != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1078*i - 1187*i = 1419*i - 555*i - 125160 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57780)\/20 + -23)*120\/(-28) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15609465481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007622 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069343 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = 2. Suppose 6*z = n*z + 8. Is z*-1 - (-74 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -269, -273, -277, -281, -285?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-33) + (-20)\/(-3). Let f be 0 + ((-7)\/4)\/k. Which is smaller: -1\/2 or f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (2 - 1)\/1. Let o(n) = -166*n**3 - 1225*n**3 - n**2 - 1037*n**c - 973*n**3. Let d be o(-1). Round d to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 21*i**2 + 1. What is the remainder when 85 is divided by w(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let x(a) = -55*a**2. What is x(d(s))?\nAnswer: -55*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5040515 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -3b8?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1220)\/(-200) + (-2)\/20. Solve -g*k + 3*k - 5*c - 18 = 0, -17 = 2*k + 5*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/8, -458, -0.3, -2\/5, 160?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64354262 is divided by 536?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129.24 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 6 + 65\/(-25))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -250, -250, -276, -328, -406, -510, -640?\n\"Answer: -13*i**2 + 39*i - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492451 = 1349*m + 3758*m + 1249*m + 232133 for m.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1\/(-4) + (-42)\/72) - (-40891)\/(-1191)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*z + 2*f, 5*z - f + 2*f = -15. Let i(s) = 4*s**2 + 2*s - 1. What is i(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1346556.\nAnswer: 5386224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 - 2*z - 2. Let h be (-1)\/((-201)\/99 - -2). Let t = -31 + h. Suppose 0 = t*y + 4, y = d - y - 2. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -38, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3993344, -3993345, -3993346, -3993347, -3993348, -3993349?\nAnswer: -3993350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 + -18934802.8623.\nAnswer: -18934802.8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010523826 + 1010523826 - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 16 + 11 - 24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 130, 204?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.021 - -0.291. Let g = a + -0.2693. What is g rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 203\/98 + 3*(-1)\/42. Solve p*f = 6*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 19 - 34 = 0, 0 = -2*b + 6*a - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 + 4 - -4) + -15 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.6. Let s = -3 - -1. What is the closest to f in -3\/5, s, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (-4 + 8))*39\/9. Suppose -m*o + 27840 = 7*o. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**6\/25 - 423*b**5\/100 - 52*b**4\/5 - 69*b**3\/10 + 600*b. Suppose m(i) = 0. What is i?\nAnswer: -69, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 23*c**3 + 3*c**2 - 2*c + 6. Let n(t) = -22*t**3 - 4*t**2 + 2*t - 8. What is -3*n(y) - 4*q(y)?\nAnswer: -26*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7463.042m?\nAnswer: 7463042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 26*y**2 - 9*y - 8. Let a be f(-5). Suppose -2*d - 3*d = -25, -4*g = -d - a. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 7*a - 5*a as w*a + s and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*6)\/(-1*sqrt(8)*-3))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 19. Let u be o(14). Put 0.4, 0.05, -0.4, u in ascending order.\nAnswer: u, -0.4, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353337700 rounded to the nearest 1000000?\nAnswer: 353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5 - -5.44. Let k = s - 0.102. What is k rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246316310 divided by -168134\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -388, -25, 1 in ascending order.\nAnswer: -388, -25, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q - 2. Let w(v) = 4*v**3 + 6*v - 10. Let b = -2187 + 2198. Calculate b*y(m) - 2*w(m).\nAnswer: 3*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + -22a?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-19 - -28) + -6 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - u = -2*s - 14, 91*s + 38*u = 41*u + 371 - 213 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -17*a + 24*a. Solve -a*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67596524799 and 0.1.\nAnswer: 67596524799.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 1:01 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 34685, -273.\nAnswer: -273, -2, 3, 34685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -5, -11, -2, -10, 5, 3.\nAnswer: -80, -11, -10, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d + 3)*(-d - d + 0*d)*(-4 - 1 - 2).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143792 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 - h**4 + h**4 - h**4 - 5*h**4 + (h**4 - 2*h**4 + 0*h**4)*(1 + 0 + 0) + 16*h**2 - 16*h**2 + h**4 - h**4 + 3 - 3.\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 2*b - b)*(6 - 5 - 2) as q + a*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 9*p - 21. Let y be m(11). Let t be y - (5 + -4)*-1. Suppose 5*k + 0*k = 2*x + 1000, -t*k + 5*x + 421 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -316*q. Let k(z) = 2*z**2. Determine o(k(h)).\nAnswer: -632*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -10. Suppose 4*f + q - z*q = -1, 5 = 5*q. What is the remainder when 18 is divided by f - (-5 + (2 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3219 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 139. Suppose n - 7*n = w. What is the smallest value in n, -4\/3, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -24, -16, -8, 0, 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(1 - (3 - 1)). Suppose -p = 3 - 11. What is the remainder when -1*(-3 + 1 - i) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 4*t + 28, -3*t + 5 = 5*b + 2*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 4*g + 8 - 3 - 3*g**2. Let x be b(4). Let p = x - -47. What is the greatest common divisor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-18)*((-396)\/21)\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 + j + 4. Let s be p(-3). Let i = 2 + 2. Which is the closest to s? (a) i (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l = -7*l + 117*l - 525 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(-265)\/1431*-36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(3*y - 1 + 1) - 7143*y + 13858*y - 7721*y in the form s + n*y and give n.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -72. Let g = -6 + n. Let p be 6\/4*10\/(-45)*g. Which is the nearest to p? (a) 4 (b) 2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 33407*t + 334706. Give g(-10).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -158*k**2. Let u(g) = 12*g**2 + 635. Give u(n(t)).\nAnswer: 299568*t**4 + 635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 + 0.78. Let p = 4.4 - -1.3. Let l = p - a. What is the second biggest value in l, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = w. Suppose -g = 3, 3*d = -0*d - w*g. Suppose -4*f + 140 = d*q, 4*f + f - 4*q - 148 = 0. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 331 - 162 - 169.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 53*o**2 + 23*o + 61. What is a(26)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156203 (base 9) to base 7.\nAnswer: -551013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/33 + -5\/99. Let i = 193 - 192. Is l bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3\/104, -4, -1 in decreasing order.\nAnswer: 3\/4, 3\/104, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let b(i) = -30*i**2. Determine n(b(r)).\nAnswer: 2700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038667 is divided by 1456?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 4 - 4)*(-1 + 0 - 2) + 0*g - 5*g + g to b + n*g and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-115)\/(-2116)*328\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.209 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4817 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972928 is divided by 182.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 43 + 15 + 2*r**2 + 5*r**2 - 3 + r. Suppose -3*a - 3*i = -33, -5 - 2 = -2*a + i. What are the prime factors of v(a)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 3*g - 1. Let d be q(-2). Let t be ((-204)\/(-60))\/(1\/5). Let k = t + d. Solve -z - 13 = 4*x - k*z, 3*z = -3*x + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 1215 = 5*f + 15*q, 3*f + 4*q = 729. What is the remainder when f is divided by (1 + (-95)\/(-3))*3\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -39 - ((-5 - -3) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79 and 1337549?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415917?\nAnswer: 11, 29, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*z - 206*z - 35*z - 32 + 32 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 111 = 346*c + 348*c + 19711 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvp. Give prob of sequence vpv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 - -376. Let l = -184 + n. Which is smaller: l or 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219.2016 - 2.8957235?\nAnswer: 1216.3058765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 253608*c - 252931*c as q + z*c and give z.\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(189)*-4)\/((sqrt(27)*2)\/sqrt(9) + sqrt(3) + sqrt(3) - sqrt(768)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 13*q + 18. Let d(g) = -14*g - 1. Give d(q).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8554426 and 8554425 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/1 - (-22 + 20). Put 15, -6, r in ascending order.\nAnswer: -6, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 + 10592*x**3 - x**2 + 3*x + 1554.\nAnswer: 48*x + 63552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60614b + b?\nAnswer: 606158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:36 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -5, 9, 29?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/36 and 23\/219.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 13*m**2 + 19. What is the remainder when 73 is divided by j(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*i**5 + 2*a**3*i + 2*a**2*i - 4079*a*i**5 - 45 wrt i?\nAnswer: -20*a**3*i**3 - 81580*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 - 6*z - 5. Let u be t(-4). Suppose -2*n + 565 = u*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*b + 140 + 91, 4*p + 2*b = -302. Let w = p + 84. Let h(s) = 14*s**2 + 21*s - 27. Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4735677\/56 + -84558. Let i = 51\/7 - o. Sort 0.06, -1\/3, i in descending order.\nAnswer: 0.06, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5689*w + 7082*w**2 + 11287*w - 5598*w - 23805*w**2 as z*w**2 + i + c*w and give z.\nAnswer: -16723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 1 - 3. Let w = 1 + m. Calculate the remainder when w is divided by (4 - (1 - 1)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -5.7, -0.13, 1.6, 0, -2, 3\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*b + 211*b = 98*b - 110 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 31\/2, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1040133\/97 + -10723. Are 4 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 2. Suppose -13*l + 11*l = -140. Suppose 11*a = a - l. Calculate x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 179. Let j(m) = 141*m**2 - 64*m**2 - 79*m**2. Calculate q(j(y)).\nAnswer: -4*y**2 + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 790\/(-264)*(-4 + (-992)\/(-240)) and -127\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 + -305.8. Let l = 5.8 + y. Which is the nearest to -1? (a) l (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*2)\/(sqrt(72)\/(sqrt(36)\/sqrt(6))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*n = 12, 9 - 3 = -2*m - 2*n. Suppose -3*y + a + 19 = 0, 9 = y - m*a + a. Calculate the smallest common multiple of 1 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 0 + sqrt(171) + sqrt(171)))**2 + (4 + 1 + sqrt(171) - (2*sqrt(171) + sqrt(171) + 5))**2 + -1.\nAnswer: 11627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1.43, 801?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32110 and 380.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 868.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -15691798\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 304 - -4833\nAnswer: 5137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*c + 840 = -448*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7601\/1095 + 14\/73. Is 8 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 2. Let j(q) = -2*q + 3. Determine 4*j(l) - 7*y(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -917 + 935. Calculate the smallest common multiple of 576 and b.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10192 and 2021152.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 x when three letters picked without replacement from {u: 3, l: 2, c: 1, x: 3, r: 1, n: 9}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 93. Let x be (61\/3)\/((-9)\/27). Let v = m - x. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:33 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(528) + sqrt(528)*-2)*5)\/(sqrt(99)\/sqrt(225)).\nAnswer: 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-462)\/847*22\/21*6\/(-4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + 3 - (0 - (18 + 8)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533209*r + 728 = 533181*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -9.8. Let s = 0.2 + f. Let i = 11 - 8. Which is the biggest value? (a) s (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*w + 5, 3*h = 2*h + 2*w - 10. Suppose -7*u = -3*u - 4*l - 8, 18 = u - 5*l. Put h, u, 7 in descending order.\nAnswer: 7, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(20\/9))**(-23) assuming h is positive.\nAnswer: h**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 57, 24, -25, -96, -195, -328?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38912 divided by -32?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4799 is divided by 97?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/30 and 3951\/(-486) + 1 + 5?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p - 2*p**3 + 0*p**3 + 5 + 8 as k*p**3 + u*p + l + b*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*q + 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 92*o - 2*u = 49*o - 24, -3*u - 10 + 33 = 7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19625 = -491*t + 4925 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i = -1581 + 93 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 829259?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:00 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 9, 0.5, 35, 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 30 = -0*j. Let b = 13 - j. Solve -3*k - 35 = 5*a, 0*a - 5 = 5*a - b*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/7? (a) -0.07 (b) -5 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -9*d - 7*v - 35, 3*d + 21 = -3*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6149?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738 by -246.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 178*m - 171*m - 134 + 50 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1. Let t(m) = 2*m + 3. Let i(p) = -15*j(p) + 5*t(p). What is the lowest common multiple of 1 and i(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11726*-0.0927.\nAnswer: 0.010870002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6750, 27038, 60860, 108216, 169106, 243530, 331488?\n\"Answer: 6767*b**2 - 13*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -11, 3.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -663 - -1393. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 7, -4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let o(z) = -23 - 3*z - z - 2*z - 149 + 4*z. What is o(l(f))?\nAnswer: 2*f - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -224*a + 227*a + 36, 3*a = 3*i - i + 4 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 752304 = -13*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*x = -24, -o + x = -0*x + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j\/(j*j\/(j**8\/j)))\/j)\/j)\/j))**(2\/73)\/(j**15\/j*j*j**2\/j*j) assuming j is positive.\nAnswer: j**(-1245\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 19. Let c be a(-9). Let v be (-27)\/(-18) - c\/2. Suppose 0 = k - v*f - 961, 2882 = 3*k - 2*f - 3*f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-7))\/(((-750)\/(-30))\/75)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8) + 10\/(-4). Let y(g) = -7*g. Is y(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, -130, 64 in descending order.\nAnswer: 64, -130, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-5)\/14) + (-1200)\/(-120). Put -2, i, 3, -5, 46 in ascending order.\nAnswer: -5, i, -2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 9*r**2 - 3*r + 2*r**2)*(45*r + 48*r - 127*r) + 0*r + 0*r + r**3 + 2*r**2.\nAnswer: 205*r**3 + 104*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.722885 to zero decimal places.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/3489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:11 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 f when four letters picked without replacement from yyyyyfyfyyf.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -4*r**5\/5 + 32*r**3\/3 - 3*r**2 - 5039*r - 5807. What is the derivative of g(c) wrt c?\nAnswer: -16*c**3 + 64*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -135*f - 896. Determine w(-6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011001110001010000 + 100?\nAnswer: 100001011001110001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4*20\/960)\/(((-9)\/(-16))\/3)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 4*l**5 - 3*l**5 - l**5 + 3*l**2 - 3*l**2 - 7*l**5 + 8*l**2 - 8*l**2 + (-4*l + l + 5*l)*(2*l**4 + 3*l**4 - 4*l**4).\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(6\/((-4)\/(-2))). Let m = 0 + c. Sort -4, 2, m in ascending order.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 1. Let n(a) = 2*a**2 + 4*a + 3. What is -n(o) - 2*u(o)?\nAnswer: 2*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l. Differentiate -2 + l + 14*b - 1 - 16*b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 7*h**2 - 6*h + 6. Let b be d(-7). Let o = b - 189\/4. Factor -3\/2 + o*c**3 + 15\/4*c - 3*c**2.\nAnswer: 3*(c - 2)*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Let u be (1 + m)\/(4\/(-64)). Let w = 16 + u. Solve -5*r - 3*l - 2*l = w, -3*r + 16 = -5*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-43080)\/(-1540) - ((-280)\/(-5))\/(-8).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*y**2 - 57*y**2 - 58*y**2 - 55*y**2 + 228*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/26 in -45, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 23\/3. Suppose 2*x - 2*w + 3 = -j, 3*w = -4*x + 15. Let k = 1467.9 - 1466.9. Which is greater: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6410 = -2*j + 7978. List the prime factors of j.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*d**3*g - 5160*d*g**2 + 24305*g**2 wrt d?\nAnswer: 24*d**2*g - 5160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 93773 + 14997. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -710 - 244 - 583 - 3*n + 419 - n**2 in the form r*n + k*n**2 + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*b + 3*r + 15, 3*r = -12. Suppose 0 = -3*j + 15, b*n - n - 24 = -4*j. Solve n*t - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7001*m**3*y + 188015538*m**3 - 4*m**2*y + 7*m*y - 11*y wrt y.\nAnswer: 7001*m**3 - 4*m**2 + 7*m - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*b = -7, 7*n - 11 = 6*n - 5*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 82*y - 177*y + 93*y + 4*p, 0 = -4*y + 4*p - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 31 - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:55 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + (-1*sqrt(192)*-1 + sqrt(192) - (sqrt(192) - (-1 + sqrt(192) + -1))))**2.\nAnswer: 64*sqrt(3) + 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {w: 1, y: 4, k: 3, g: 2, s: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x + 102*x + 138*x.\nAnswer: 327*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 23122133?\nAnswer: -23122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((200\/96)\/25)\/((-6)\/18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-63))\/((25\/(-20))\/((-3)\/12))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*q + 81*q - 47331 = 68029. Calculate the least common multiple of 240 and q.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 124 = -4*n. Is (n\/(-4) + -3)*2 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(13)*-2)**2 + (1 + sqrt(13))*4) + sqrt(832) + 3 + 1 + -3.\nAnswer: -143 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -664 and 0.02?\nAnswer: -13.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 4. Let j = -157\/2 + 49. Find the common denominator of j and y\/4*(-151)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 + (1 + 3 + -3)\/(-1) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*y + 2*y - 2196, -y = -3*f - 443. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l - 2*k, l - 2*k = 12. Suppose -3*x + 150 = l*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, q: 6}. Give prob of picking 4 c.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469840, 939645, 1409450, 1879255?\nAnswer: 2349060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 780029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6882 + -6882. Which is the closest to -0.2? (a) 4 (b) i (c) -5 (d) 19\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464 + 523. Calculate the remainder when a is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3470772.6 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l + 1. Let g = -776 - -774. What is w(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 3*s - 4*s. Let y(n) = -5*n**2. Determine y(t(a)).\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4)*((u\/(u\/u**(-3\/14)))\/u)\/u*u)\/((u*u**(-2\/3))\/u)**(-44) assuming u is positive.\nAnswer: u**(-1409\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17347 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*x + 18. Solve -1 = -h + x*n + 2, 4*h = 5*n + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57944.89ml?\nAnswer: 57.94489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2 - 336624*o*v - o + 2565903*v wrt o.\nAnswer: -4*o - 336624*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 23*c**2 - 44*c + 156. Let d be o(-25). Let h(n) = 2*n**2 + 17*n - 2. Let q(g) = -2*g**2 - 17*g + 2. Calculate d*q(j) + 5*h(j).\nAnswer: -2*j**2 - 17*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (682 + 110*s - 682)*(-1 + 2 - 4) to the form x*s + o and give x.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -853, -5520 in increasing order.\nAnswer: -5520, -853, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385041 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: Calculate prob of sequence sb when two letters picked without replacement from bbbtbsbblbssttbbbbl.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 369*t + 6427. Calculate m(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 + 6*a + 7. Let h be o(-3). Suppose 0 = -2*d + h - 1. Solve m - 7 = 3*m + p, 4*p = -d*m - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:05 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/760073 and -46\/9.\nAnswer: 6840657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2960847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5728707 litres to millilitres.\nAnswer: 572.8707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 23 = x - 44, 0 = -4*x + 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.668 - 90543033?\nAnswer: -90543026.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/11394 and 115\/10182438.\nAnswer: 30547314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 13367865 - 18432127. Suppose 5*f - 15200008 = x. What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9*n. Solve 3*m + 0 = -3, -4*b + 2*m - 10 = n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*n + 8 - 4, -3*n - 3*g = -12. Let d be (-4)\/((-5)\/(-2) - 2). Let a be (-2)\/4*d\/2. Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 190094, 190095, 190096, 190097?\n\"Answer: d + 190093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.4 - -57. Let d = -6.5 - m. What is the closest to d in -3, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 3*j - 1. Let z(c) = 7*c**2 - 5*c - 3. Let n(o) = 5*r(o) - 3*z(o). Let k be n(0). Suppose k + 0 = 2*w. Solve 2*y = -4 - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 10 = 0. Suppose 0 = 3*c + d + 1. Let r be ((-2)\/5)\/(c\/(-5)). What is the second smallest value in 3, 5, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 47, 49, 57, 77, 115?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let t(u) = -3*u - 3. Let p(y) = t(y) - 18*z(y). What is the units digit of p(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(20\/(-5))*(-2)\/4*2240\/245\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273246688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14418 and 35154.\nAnswer: 3128706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 (base 8) in base 3?\nAnswer: -102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0195854, -2, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-15) + (-12)\/270*-9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 230*a. Let h be j(48). Let z = h + 482. Suppose 0 = 4*l - 0*l - 4. Are z and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 26. Suppose 0 = c - 6 + k. Suppose 4*x + a = -2*a + 39, -c*x = -3*a - 15. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(2*k - 3*k - k)*(1536158 - 598*k - 1536158).\nAnswer: -1196*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 195?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/7 in 40\/7173, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*s)*(2 - 9 - 3)*(s + 2*s**4 - s).\nAnswer: 60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 83, 176, 317, 512, 767, 1088?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let q(o) = 4982*o. What is q(d(r))?\nAnswer: 9964*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x - 4 = -28*x. Suppose 1424 = x*j - 2*s - 1810, 3255 = 4*j + 5*s. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -82. Let v = i - 23. Let j(w) = -w**2 + 2*w + 3. Let x(h) = -2*h**2 + 5*h + 8. Determine v*x(m) - 8*j(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 415*t - 66 = 836*t - 412*t, 165 = 5*a - 3*t for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 61\/(-10))\/(4\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + f + 3 + 103*f**4 + 5*f**3 - 101*f**4 - 4 to k*f**2 + s + z*f + a*f**3 + v*f**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {d: 4, v: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let q = 1.8 + v. Let g = -1199 + 1198. Which is the biggest value? (a) q (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2388 and 3411656?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1741 * -0.1\nAnswer: 174.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.12, 2\/7, 0.3, 5, 3 in increasing order.\nAnswer: -1.12, 2\/7, 0.3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 31573*o - 220889. Calculate j(7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + 8. Suppose w*j - 3 = 7. Suppose -4*x - d = -87, -2*d - j*d = 2*x - 54. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 0.154?\nAnswer: 2.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b - 5. Let r(n) = n**2 + 3*n - 2. Let u be r(-4). Suppose -j = -u*x + 4*j - 24, 0 = 3*x + j + 2. What is the nearest to b in -3, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 389.8, 3, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 317327 = 11*m - 64793. List the prime factors of m.\nAnswer: 5, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 6980896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 + c**3)*(-9 + 20*c - 5 - 22*c).\nAnswer: -4*c**4 - 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38963 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 120721472 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)**47\/((i*i\/(i**(-3)*i))\/i*i*i*i\/((i**(-1\/3)\/i*i)\/i)))\/((((i\/i**(-6))\/i)\/i**7)\/(i**0)**(-16)) assuming i is positive.\nAnswer: i**(404\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1520476\/1573 or 966?\nAnswer: 966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + q + q**2 - 490*q**4 - 95*q**3 + 40*q**3 + 55*q**3 - 1 in the form b*q**3 + g*q**4 + o*q**2 + s*q + y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 238, 315, 392?\n\"Answer: 77*j + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -1.1. Let w(y) = 12*y**2 - 10*y + 1. Let m be w(5). Let u = m + -248. Which is the biggest value? (a) z (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-33)\/(-22))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612 + 7*y - 5*y - 620 + 1232.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.274 + -0.074. Which is the biggest value? (a) u (b) -2\/33 (c) -1\/6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -6\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3171 divide 1287857256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -2*a**3\/3 + 3*a**2\/2 + 5*a. Calculate r(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/((y*y*((y\/(y**(-11)*y)*y*y)\/y)\/y)\/y)*(((y\/y**(1\/2))\/y)\/y)\/y*y*y\/(y\/(y\/(y*(y*y*y**(1\/6)\/y*y)\/y))*y) assuming y is positive.\nAnswer: y**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/64*-2)\/(1\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 2*b + 10. Let n be a(5). Let o = -41 + 21. Let h = -15 - o. Calculate the greatest common divisor of h and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010012111202002 - -11?\nAnswer: 1010012111202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1049 (b) 2\/17 (c) -1\/7 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*w - 324 = 0, 4*p = p - w - 460. Let v = 153 + p. Which is smaller: 10\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - k**2 + 2*k. Calculate the remainder when u(2) is divided by ((-16)\/(-4))\/(1\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 - 3*d**2)*(20 + 4*d - 21 - 7).\nAnswer: -20*d**3 + 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4332 is divided by 481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355 = 164*o + 2253 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2 + 2*q + 1. Let t be 2*(-1)\/(6\/(-9)). Suppose x - 2*x - 4*d + 3 = 0, 5*d = t*x + 8. What are the prime factors of w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5\/2, -30194 in descending order.\nAnswer: 5\/2, -22, -30194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3991 and 277121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 309 (b) 0.5 (c) 89 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 20 = -17*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/168 - y**4\/8 - 3*y**2. Let n(r) be the second derivative of b(r). Let m(q) = -q**2. Determine m(n(u)).\nAnswer: -225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1068*m**6 - 22*m**5 - 9*m**3 + 4399340*m**2?\nAnswer: 128160*m**3 - 1320*m**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q - 280 - 446 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 19*v**2 - 5*v**2 - 9*v**2. Let f(i) = 1524*i. Give f(l(y)).\nAnswer: 1524*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202824 and 102384?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d + 13943 - 6709 = 6571 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 + 2*y + 1. Let q(t) = 6*t**3 - 11*t**2 + 11*t + 6. Let b be (-48)\/22 + (5 - 159\/33). Give b*q(i) + 11*o(i).\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800677337 to the power of 1\/2, to the nearest integer?\nAnswer: 52921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.02 (c) 23 (d) -0.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/((-3488)\/(-1308))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + 4.1. Sort j, -1, -0.5, 0.05 in descending order.\nAnswer: j, 0.05, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -58) + 0 + (-31 - -72 - 45) - 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10)*(114\/(-12) - -7). Sort -90, 0, a, 4 in decreasing order.\nAnswer: 4, 0, a, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735527878?\nAnswer: 2, 367763939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110010001?\nAnswer: -110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 16*j + 28*j - 17 - 32*j - 66*j to z + u*j and give u.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395 + 74. Let m = -259 - x. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171 (base 11) in base 12?\nAnswer: a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23764063500 to the nearest one million.\nAnswer: 23764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13157160 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: Two letters picked without replacement from dqrtfqdh. What is prob of picking 1 r and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -95. Put 5\/4, -5, -4, y in ascending order.\nAnswer: -5, -4, y, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77886*z + 38922*z + 2 - 20*z**2 - 46*z**2 + 38912*z in the form n*z + f*z**2 + r and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 1. Suppose -4 + 0 = -4*i. What is the remainder when 5 is divided by u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -111001202000011?\nAnswer: 111001202000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -59?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*p - 241*p = 58*p + 4440 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 25*i**2 - 23*i - 53. Let v be p(26). Suppose 30 = v*g - 22*g. Solve -g = t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) 0 (c) 2\/543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21132 - -21142. Calculate the lowest common multiple of 2*4\/(-8)*-42 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 237 = -166*m - 988 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20437 - -20479. What is the closest to 1\/2 in -0.4, y, 9, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 + (-7)\/((-21)\/(-12)). Suppose -27*x + f*x = 3. Solve 0 = -x*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 82 = -2*u, -p = -5*u + 90 + 149. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 7*l + 1. Let m be c(-4). Calculate the least common multiple of 115\/13 + 2\/m and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144932800 by 4529150.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = 4*r - 38, 2*j + r = 17. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 12. Let s be x(-10). Solve -18*y + 4*y + s*y**3 + 11*y + 5*y - 4*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, 3\/5, 0.4 in decreasing order.\nAnswer: 3\/5, 0.4, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2207609*q**3 + 4308651 with respect to q.\nAnswer: -6622827*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 5 (b) -161 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1477*s + 7385. What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 37) + (45 - 27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210002220 (base 3) to base 8.\nAnswer: 221304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29978 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19890000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 13. Let w be g(0). Let x = 9 - w. Which is the third biggest value? (a) x (b) 0.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 47, -8, -89, -202?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 35. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 21*k - 98. Let r be g(7). Sort r, 12\/11, 5, 2 in descending order.\nAnswer: 5, 2, 12\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 1212827017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g + 1. Let n(h) = -h**3 + 10*h**2 - 3. Let x = 13 - 3. Let v be n(x). Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 94 = -2*j - 3*b, 2*b = 4*j + 356. Let l = j + 96. Calculate the greatest common factor of 72 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*v**4 + l*v + 2*l - 4*v**3 - v**2 - 144 with respect to v.\nAnswer: 4*l*v**3 + l - 12*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:26 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 6) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.4, 0.5, -94?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1, -11, 0.016?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + -650. Round l to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-9))\/s)\/s**35*s**(-23)\/s*s**(-28\/5) assuming s is positive.\nAnswer: s**(-278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 + 10*h**3\/3 + 3*h**2 + 3*h - 17. What is the tens digit of i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303963467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/13 or -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-132)\/(-30) + 2\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 0*t + 9 + 4*t. Let y be m(-7). Suppose 2*w - 9 = -3*p, 0 = -3*p - 5*w + w + 15. Solve 0 = y*b - p - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7612 - 7611. Calculate the least common multiple of c and 1704.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334366 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2310 + 4494. What is the greatest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-3276))\/(27\/21)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88061582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 1022*n + 1699. Give t(339).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7851*n - 227351. What is a(-29)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -771 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgj when three letters picked without replacement from jwrdwwrwwgwwgw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l + 27. Suppose -61*x = -59*x - 16. Let u(t) = 4*t - 9. Let w(n) = x*u(n) + 3*i(n). Determine w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(-60690)\/(-380324)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 19. Let i(y) = 12*y - 37. Let l(u) = 3*i(u) + 5*v(u). Let s be l(3). Solve -s*p + 4 = 0, -4*d + 6 = -2*p - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -558727217\/1107 + 504722. Let j = m - 109555\/396306. Find the common denominator of j and -27\/20.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 12*g + 4. Calculate z(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6))\/(600\/(-1280))*(-23)\/((-69)\/(-18)).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-6) + -4)*-4. Let t(f) = 8*f**2 + 10*f - 4. Let l(m) = 17*m**2 + 21*m - 9. Let v(p) = -6*l(p) + 13*t(p). Let g be v(i). Is 4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69894 and 46596?\nAnswer: 139788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 68, 3, -5 in increasing order.\nAnswer: -5, -1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(500)*-1 + -2))**2*5 + 6*(6*(0 + sqrt(500))**2 + sqrt(500) - (-1*sqrt(500)*-5 + sqrt(500))).\nAnswer: 1500*sqrt(5) + 40680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 5*c + 93 + 100.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + -0.19. What is the closest to o in 0.1, 3, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1251305 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -729470.35029?\nAnswer: -729470.75029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Solve x = -l + 5*j - 26, -4*l = 4*j - j - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 9*w**2 + 3*w - 1. Give z(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103318388*a**3 - 20*a + 78112 wrt a?\nAnswer: -619910328*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (318\/(-9))\/(5055\/(-15165))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b**4 + 3*b)*(0 + 1 - 2) - 5*b**4 + 2*b**4 + 5*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7*n + 8 = -3*n, 24 = v - 2*n. Solve 0 = 4*s + 30 - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 243\/3 + (-3)\/3. Let f be 1\/(-3) - p\/12. Suppose 2*l = 5*m + 32, -20*m + 2*l = -21*m - 4. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 36 = k. Is (69\/(-6))\/(2\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, -720, 0, -18.\nAnswer: -720, -72, -18, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-496)\/(-6)))\/(55\/((-660)\/(-9)))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 11. Let f be j(-7). Suppose i = n + f*n - 7, 3*i + 3*n = 15. Suppose 153 = i*d - 66. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3692 + 3702 + 15*f + 28*f to the form k + z*f and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(27)*-3)*5)\/((sqrt(9) - (-3*sqrt(72))\/sqrt(8)) + sqrt(9)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 20*j - 6*j = -50 + 17, -j - 4 = -2*k - 0*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16541085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let g = 1.12 + 3.88. Which is the nearest to -2? (a) 3 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 + -9 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*k + 7*k. Suppose -r = -k*n - 99, -3*n = -r + 2*r - 117. Is 16 a factor of (-15)\/(-1)*(r\/30 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -40*r + 1. Let z(b) = -b + 1. Let c = -15 - -14. Let s(l) = c*i(l) + 2*z(l). Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Is 10 a factor of (-6 + x)\/(2\/(-58))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 + -2.24?\nAnswer: -182.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37 and -6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2)*(-1)\/(-1). Let t be 1 + (4 - i) + -6. Let j(v) = -3*v**3 + 3*v - 1. What is the tens digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -1378499296301?\nAnswer: 1378499296305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(-1*sqrt(175)))\/(-1*sqrt(588)*2)*2)**2.\nAnswer: 2\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 135 = 981. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 64 - 35)*(2960*r - 774*r - 1137*r) to t + n*r and give n.\nAnswer: -4196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Suppose -7 - 3 = -5*y. What is the remainder when y is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67690 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5042675.\nAnswer: 5, 11, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1834159?\nAnswer: 1\/1834159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241019*p**3 - 35232*p**3 + p**2 - p**2.\nAnswer: 205787*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**8\/56 - 3*h**4\/8 - 2*h**2 + 8*h. Let o(k) be the first derivative of l(k). What is the second derivative of o(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b**3 + 3*b**2 - 3*b**2)*(138 + 66 + 252 + 94) as v*b + r + j*b**3 + s*b**2 and give j.\nAnswer: 3850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 3 + 1 - 4 to the form m*p**2 + c*p + z and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 7. Let m(c) = c + 1. Let l be m(-6). What is the tens digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcackbkck. Give prob of sequence cba.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-11 - 30) - -47?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + h**2 - h**4 - 111*h + 112*h + 0 in the form a + r*h**3 + o*h**2 + g*h + q*h**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.368 - 8.668. Which is smaller: a or -608?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.42 (b) 3 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -135*g - 11. Let l(c) = -269*c - 24. Determine -6*l(r) + 13*o(r).\nAnswer: -141*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19312883699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 - 4 = 0. Let f(i) = 0*i**2 - 2*i**2 + i**p. Let m(n) be the first derivative of -9*n**2\/2 + 47. Calculate m(f(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35419136 by -2.\nAnswer: 17709568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -73+-5775347.6835\nAnswer: -5775420.6835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/78 + 14790\/62985?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let h(w) = 8*w**2 + w + 265398. Give h(d(q)).\nAnswer: 8*q**4 + q**2 + 265398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (15 + 16 + 1 + -17)) + 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 134*f**2 - f. Suppose 34*h = 37*h - 3*u - 45, -2*h = 2*u - 14. Let s(a) = -33*a**2 + h*a**2 + 12*a**2 + 6*a**2 + 6*a**2. What is n(s(y))?\nAnswer: 536*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6182*m**4 - m**3 - 5*m - 5867.\nAnswer: -74184*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 54 = 2*b, -3*s - 148*b + 45 = -150*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*c - 15, -4*c + 14 = 3*f - 4*f. Suppose 6 - 30 = -2*q. Let v = q + -2. What is the remainder when v is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65310 + -511?\nAnswer: -66121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(340)\/(-3*sqrt(160)))\/(4*sqrt(4)\/sqrt(2) - (sqrt(200) + sqrt(200) + 2*sqrt(200))) + 5)*-3.\nAnswer: -15 - sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 266\/(-76) + (-2 + 0)\/(-4). What is the fourth smallest value in -36, 2\/7, 0.1, u, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n\/(n*n**20))\/n)\/n)\/((n\/(n**(-15)*n))\/n*n))**13)**44 assuming n is positive.\nAnswer: n**(-20592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 32 - (-19 + 25 + 32 + 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 = 85. Solve -2*g - 2*g = z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -10*u - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 280398?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/(-8))\/(15\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 68 = -5*t - 2*n, -5*n + 35 = 5*t. Solve 2*c + t*b = -15 + 3, b = 5*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - p = -38 + 30, t + 2*p - 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 12*l + 84. Let n be (-1)\/4 - 707\/l. Let -7*k**3 + 0*k**5 + 18*k**4 - 2*k**5 + 4*k**3 - n*k**5 = 0. Calculate k.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + i - 9 = 0, 0 = -i - 1. Is ((-56)\/(-6))\/(g\/(-3)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -42*p + 0*p**2 - 1\/12*p**4 + 0 + 0*p**3. Give d(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449172 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.436 + -0.436. What is the biggest value in -0.3, 0.05, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + m**3 + 44*m - 53*m.\nAnswer: -21*m**3 - 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 11*z**4\/8 + 4*z**3 - 59*z**2. What is the tens digit of p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19619 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/(-33))\/(2\/15). Let m be (-1264)\/b + (-10)\/25. What is the greatest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -61 (c) 1 (d) 0.5 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(356\/(-534)*(-3)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 9 = -6*i - 4*q, 3*i = -q + 39. Solve 8*x = 13 + i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + -1*42)*3\/(-6). Solve 3*m - 14 + x = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 4. Let z(g) = -3*g**2. Let x be z(1). What is the units digit of b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83770*k**2 + 5*k - 9779 wrt k?\nAnswer: 167540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6326*m**3*y**2 + 5*m**3 - 4*m**2*y**2 + m**2*y + 1478*m*y**2 + 2*y**2 wrt m.\nAnswer: 37956*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2120112032?\nAnswer: -2120112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 488603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3925*i - 307. Let b(k) = -18*k**2. Give r(b(z)).\nAnswer: -70650*z**2 - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -9*y - 24. Suppose 175 = 3*q + 178. Put y, -6, q in decreasing order.\nAnswer: q, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*(-2*t**3 - t**3 + t**3) + (-2*t + 2*t + 2*t**3)*(-2*t - 2*t + 6*t) + 9 + 143*t**4 - t**2 - 141*t**4 - t**2.\nAnswer: 10*t**4 - 2*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/4 + 340947*v**3\/4 - 14529839947*v**2\/2 - 65389990743*v - 101719619694 = 0.\nAnswer: -7, -2, 170478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52344? (a) 4\/31 (b) 4 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171358090 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-10))\/((-16)\/120). Suppose -4*t + 5*t = 6. Suppose -4*v - 16 = -p, 5*v + 20 = t*p - 2*p. Solve -4*l = -d, s - 5 = -p*l - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -10) + 10 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllvzzllv. Give prob of sequence lzv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-2)\/11 - 90\/(-132)). Let g be 1 - (d + 2 + 2). Solve -3*i = -g + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339343274.0000055 + -339343398. Let k = 174 + -50. Let n = w + k. What is n rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1998141 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 49*i**2 - 211*i + 54. Let r be y(53). Solve -108*o = -r*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 10*c + 23. Let l be w(11). Let z = l + -13. Are -3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13798*f**3*w**2 + f*w**3 - 215*w**3 + 2*w wrt f?\nAnswer: -41394*f**2*w**2 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*d - 15*d + 3 + 2*d)*(-2*d - 4*d + 4*d) in the form y*d**2 + c*d + p and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2681042 and 119\/10?\nAnswer: 13405210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/462920 and 3\/1405060.\nAnswer: 199518520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1 + -1 + 3). Let o = 65 + -117. Let m be h\/(-12) + o\/(-80). What is the nearest to -4 in 1, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203.8 + 142.44. Let p = 339 - f. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/120 + b**4\/12 + 5*b**3\/3 - 5. Let i(x) be the third derivative of a(x). Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + r + 4. Let y be c(0). Let h(w) be the second derivative of -w**3\/6 - w**2 + 5*w. Determine h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9868696?\nAnswer: 2, 1233587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21924 by -15.\nAnswer: -7308\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 900*k + 2655.\nAnswer: 5*(k + 3)*(k + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 7*h + 2*h)*(16*h**2 + 337389 - 168692 - 168681 + 6*h**3) to the form s*h + z*h**4 + b*h**3 + c*h**2 + k and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x + 3544. Let c(u) = -5*u - 1759. Determine 5*c(p) + 3*g(p).\nAnswer: -p + 1837","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*g + 4*g + 66 = 0, 3*g = -5*p + 38. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1377*s - 1380*s + 2*o + 81, -80 = -2*s + 10*o for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l**2 + 0 + 1 + 2*l**2. Let i(w) = -w**2 + 2*w - 3. Let u be i(2). Determine s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, x: 4, p: 1, r: 3}. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/63, -4, -2, 35, 2\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45706 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by 6547.\nAnswer: 472\/6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 5059*u - 20252.\nAnswer: (u - 5063)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -40, -39, -20, 23, 96?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11915690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*b = -3*y + 14, -5*b + 15 = 0. Let q(v) = v + 13. Let w be q(0). Solve 19 = 3*a + 2*o, o - y*o - w = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9254103.39ms to weeks.\nAnswer: 0.015301096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31927 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 10*d + 45. Determine a(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 87. Is (28\/20 - q)*5*1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 25*v**2 - 83*v + 11. Let f be l(20). Calculate the highest common factor of 169 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117.9 + -123. Let y = 5 + m. Sort -2, 4, y in descending order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 196\/3? (a) -2\/29 (b) -0.13 (c) 1\/3 (d) -2\/7 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-321)\/(-36))\/(19\/((-1824)\/108)) + 8. Let r = 4 + -3. Which is the nearest to r? (a) -3 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 1209 = -10*k - l, k + 2*l + 403 = 0. Let a = k - -1680. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 13*a**2 - 66*a + 7. What is k(5)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 0.1, 53, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 60. What is r(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724829 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, -28, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/3 + 3*t**2 + t. Suppose -c + 19 = h - 6*c, -h = c + 11. Calculate x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (5*(0 + sqrt(1331) - sqrt(1331)) - sqrt(1331)) - (1 + -2*(sqrt(1331) + -1)))**2*-2 + 2.\nAnswer: -2667 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 - 2038*m**3\/9 + 532174*m**2\/9 - 6578234*m\/9.\nAnswer: 2*m*(m - 503)**2*(m - 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3167*k**2 - 8*k + 7. Let z(w) = -53*w**2 + w + 1. Let b(s) = -i(s) - 5*z(s). Find the second derivative of b(u) wrt u.\nAnswer: -5804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30734323, -30734325, -30734327, -30734329, -30734331, -30734333?\nAnswer: -30734335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 237*1\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d**3 + 5*d**2 - 26*d + 85. Is 17 a factor of u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156014261 divided by -1?\nAnswer: -156014261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 6344*m**2 + 79564*m - 3510936.\nAnswer: 4*(m - 18)*(m + 31)*(m + 1573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - (7 + -7703 + 6)?\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3679 + 33.\nAnswer: -3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 45. Let j = -15 - p. Let a(c) = -54*c - 2. Let h be a(j). Round h to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99, -233, -365, -495, -623, -749?\n\"Answer: r**2 - 137*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, o: 8, n: 2, w: 2}. What is prob of sequence woo?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 181*h**2 + 60*h - 2712. Give g(-90).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5\/3 (b) -4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5 + 10566*m**4 + 1369088*m**3 - 4181256*m**2 + 2801600*m = 0.\nAnswer: -5150, -136, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + k - 57 = 0, i - 5*k + 30 = 4*i. Suppose -i = -0*p - 3*p. Suppose 6 = b - 14. Solve -p*o - b = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306093 divided by -7.\nAnswer: -306093\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -77. Let m = -13 + k. Suppose 25 = 5*u - m. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*l - 6, -2*i - l = -4*i + 3. Let y(t) be the second derivative of 0*t**3 + i*t**2 - 1\/12*t**4 + 0 + 4*t. Let f(p) = -5*p. Calculate y(f(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9263.22 and -14.\nAnswer: 129685.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -342*k + 334*k + 187408. Suppose 37*c + k = 54*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let p(d) = 31*d - 6. Let g(o) = -6*c(o) + p(o). Let b(r) = 15*r**2. Give g(b(x)).\nAnswer: 375*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*q + 461*q = -762881. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 2, l: 1, a: 1, x: 2, j: 2}. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -277*d + 68*d**2 + 277*d + (-11*d - 10*d - 16*d)*(0 - 2*d + 0).\nAnswer: 142*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 4. Let o(u) = 5*u + 3. Let i(f) = -2*j(f) - 3*o(f). Let m(p) = -8*p - 17. Let g(b) = 3*i(b) - m(b). Give g(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m + 4. Let d be v(-8). Suppose -2*u + 6*u + d = 3*r, 3*r = 2*u + 8. Let x(z) = 4 + z - 1 - u + 1. Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21632896 and 416?\nAnswer: 281227648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 930 * 438\nAnswer: 407340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12*5480\nAnswer: 65760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 54*l + 31. Let r be s(14). Solve 3*v - 21 = -2*z, 3*v - 4*z - 6 + r = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75681?\nAnswer: 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3 + 1 + 1 + a + 0*a. Let g be k(3). What is the nearest to g in -2\/15, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235294, 470578, 705836, 941056, 1176226?\nAnswer: 1411334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -9, 0.1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 7}. Give prob of picking 4 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42\/17 - -6\/85. Let w = l + 79\/35. Which is the closest to -1\/2? (a) 1 (b) 2\/31 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -9. Factor 75*g + 3*g**2 - 8*g**3 - x*g + 6 + 11*g**2.\nAnswer: -2*(g - 3)*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p. Let w(g) = 2*g**2. Let m be w(-1). Let h(f) be the first derivative of 2 + 0*f + 1\/2*f**m. What is h(o(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 1. Let t(j) = 7*j + 6. Let q(x) = 4*k(x) - t(x). Let n(z) = -185. Let f(u) = -2*u - 248. Let s(y) = -3*f(y) + 4*n(y). Give -5*q(p) - 3*s(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3)\/1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 27*y**3 - 14*y**2 - 12*y + 6. Is i(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (46 + -30)\/((-16)\/(-12)). Calculate the greatest common divisor of 1524 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 * -3\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/35, 1\/2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1656 divided by 25889\nAnswer: 1656\/25889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406329?\nAnswer: 3, 7, 11, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -33451*z + 4*z**2 + 33463*z + 9*z**3 - 11*z**2 as b*z**2 + g + t*z + s*z**3 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/154 + 20\/70. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least 47\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*z = -32*z + 496 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1220 - -1254. What is the fourth smallest value in 2\/3, m, 2\/9, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210211101000021 (base 3) to base 15.\nAnswer: 1042324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8018785000 to the nearest one million.\nAnswer: 8019000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (312\/10)\/(18\/120)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 20. Let y be v(4). Let u = -3 - y. What is the closest to u in 2\/17, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c9 (base 15) to base 5\nAnswer: -11424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1865517 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**7\/63 + 2*z**6\/9 - 4*z**5\/15 - 5*z**4\/9 + z**3 - 50*z. Solve b(m) = 0 for m.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 divided by 7823.\nAnswer: -666\/7823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (45 + -22 - 9)) + -76\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 plus -26.8?\nAnswer: -27.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -890 - -890. Solve w = -3*p + 24 - 39 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 199821568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 3 + 5 + 1007*l**3 - l**2 - 1419*l**3 to the form u*l**3 + t + c*l + m*l**2 and give u.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o*y**2 - 51*o*y + 594*o + y**2 - 4*y - 240 wrt y.\nAnswer: 8*o*y - 51*o + 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*r**4*u**2 + 5*r**2*u + 716*u**2 wrt r?\nAnswer: -180*r**3*u**2 + 10*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*p - 4*o - 32 = 0, 172*p - 2567*o - 790 = 41*p - 2565*o for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*169847.\nAnswer: 169847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -7 + 22 + -11 - (3 - -5)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2268*g**3*t**2 + 2*g**3*t + 90*g**3 - 23*g**2*t - 7*g*t**2 wrt t.\nAnswer: 4536*g**3 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -1 - -3) + (-5 - 3) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 29151 = -5*u, -75*u = -4*n - 73*u + 29102. What is the remainder when n is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -9 - 0)\/((-2)\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - -4 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -964?\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 2*y - 7, y = -a + 3. Suppose j = 3*j + y*v - 814, -5*v - 2060 = -5*j. Is j a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let k(g) = 43*g + 925 - 925. What is k(i(t))?\nAnswer: 86*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-9)\/18)\/(71\/(-923))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5 + 4 - -2). Let i(n) = 9*n + 143 - n**3 - 66 - 69. What is the lowest common multiple of i(o) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 12.4. Let f = 1.6 + y. Which is the nearest to -1\/4? (a) f (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 84. Let x = 12 + s. Let v = 25 + x. What is the highest common divisor of 176 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14613598*h**2 - 471934129 wrt h.\nAnswer: 29227196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14859, -29710, -44551, -59382, -74203, -89014?\n\"Answer: 5*g**2 - 14866*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133\/4 + 33. Let x be 6\/4*2\/(-7). What is the third smallest value in f, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 361*v**5\/20 + 367*v**4\/4 + 27*v - 1. What is the third derivative of b(p) wrt p?\nAnswer: 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3494*l**4\/19 + 188680*l**3\/19 - 3396384*l**2\/19 + 20380896*l\/19 - 23328\/19 = 0.\nAnswer: 2\/1747, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 + 7*i + 1. Let g(q) = 2*q**3 + 3*q**2 + q + 1. Let y be g(-2). Give p(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14101105 by -6155.\nAnswer: -2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/3846 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:49 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2924)\/301)\/(24\/(-28)*16\/48)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300*n**4 + 19*n**3 + 55020*n wrt n?\nAnswer: 3600*n**2 + 114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4757.1 - 4757.09978817. What is f rounded to 6 decimal places?\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2651, -2589, -2487, -2345, -2163, -1941?\n\"Answer: 20*z**2 + 2*z - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 708, 199, -324, -861, -1412, -1977, -2556?\n\"Answer: -7*i**2 - 488*i + 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 731566 + 14197*a - 731566 in the form u*a + r and give u.\nAnswer: 14197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a3 + -26?\nAnswer: -6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 + c**3\/6 - c**2\/2 - 2*c. Suppose -68 = 48*h + 20*h. Let x(s) = -2*s**3 - s**2 - 2*s - 3. What is h*f(t) + x(t)?\nAnswer: -2*t**3 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s + 5 = 0, 0 = -4*f - s + 1 - 20. Let y(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/6 + 5*x**2\/2 - 2*x. What is y(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 66 - 58. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 3*i**2 - 5*i**2)*(-1 + 4 - 1 + (-3 + 7 - 3)*(0 + 0 - 1))*(-10 + 7 + 23).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 321, 4\/11, -3, -2, -1\/22 in decreasing order.\nAnswer: 321, 4\/11, 0.3, -1\/22, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -45748\nAnswer: 3\/22874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(((-9)\/(-2))\/(-3)). Calculate the lowest common multiple of b\/((-8)\/76) - -3 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 76, -4, 0.5, -1\/11 in decreasing order.\nAnswer: 76, 1, 0.5, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1498.9 and -265.29?\nAnswer: 1233.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/69 + 2\/23. Let m = 11205.87 + -11206. Which is the closest to y? (a) -3\/8 (b) 0.5 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 5 + 5)*(9*h - 10*h + 3*h**2 - 14*h).\nAnswer: -6*h**3 + 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 299602.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 11. Let u = 8.3 - j. Which is the smallest value? (a) u (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 23*b**2 - 133*b - 30. Calculate i(13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*r + 5 + 27*r + 20*r - 41*r**3 - 71*r as p*r + n*r**2 + b*r**3 + a and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(16\/10 + -1). Suppose 0 = -5*c + 3*c + y. Suppose -p = 4, c*p = o + o - 24. Solve 12 = -o*d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31206957167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let i(c) = 32248759*c**2. Calculate i(o(s)).\nAnswer: 128995036*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502146.\nAnswer: 2, 3, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6548 - -45832\/7. What is the nearest to -1 in 5\/2, 409, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 5*t**2 + 8*t + 10. Let l be a(-7). Suppose 0*s = 2*s - l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - p + 1, 0 = 124*x - 125*x - 5*p + 38. Let w = 0.35 + -0.4. Let n = w + -4.95. Which is the nearest to x? (a) -2\/3 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -470*s + 641. What are the prime factors of d(-6)?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 223*n**2 - 223*n**2 + 12*n**4 + (-3 - 1 + 3)*(-n**4 + 2*n**4 - 3*n**4).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -200. Let h be 9\/6*(104\/p)\/(-4). Which is greater: h or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2 + (-2 + 4 - 3)*(2 + 0 - 1) + 1 + 0 + 0 - 3 - 1 - 1)*(19*g**2 + 2*g**4 - 19*g**2).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than 138384.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119 * -14148.\nAnswer: -1683612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*12\/(-16)*2\/3. Suppose 2*o + 0*o = 5*x + 27, -4*o = -x - 9. Suppose -s*d + o + 11 = 0. Solve -1 = -h + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 4*n + 8. Solve -2*x - n = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 35, 144, 361, 722, 1263, 2020?\n\"Answer: 6*m**3 - 5*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106261456 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325216 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*j = 2*j - 32, -3*x - 3*j = -30. Suppose 3*y + 36 - x = 0. Let i be (-2)\/y - (-7)\/9. Calculate the greatest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 18. Suppose y = -3*y + 12. Suppose -4*n + 24 = 3*x, -1 = -x - y*n + l. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 14 = 4*p, 192*p - 195*p = -5*d - 7 - 17 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjq when four letters picked without replacement from {q: 2, j: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-486))\/((-1)\/6))\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16*k**3 + 10*k**2 - 6*k. Let o be 46\/4 - 2\/4. Let z(u) = 21*u - 2*u**2 + 28*u - 3*u**3 - 48*u. Determine o*z(b) + 2*i(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/25 + -4)*(-76 + 1). What is the greatest common factor of 480 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 491404084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 + 6*a + 2. Let b be l(6). Find the third derivative of -3*s**6 + 0*s**2 - 5*s**b + s**2 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8619 is divided by 1296.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 69*z**2 - 1455*z - 3663.\nAnswer: 3*(z - 37)*(z + 3)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13580 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7817*z**2 + z + 8347 wrt z?\nAnswer: 15634*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 1, -37 in decreasing order.\nAnswer: 1, -2\/19, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 378, 578, 782, 990?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkkekckjkpkpzpjpke. Give prob of sequence cj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2636*l - 3. Let u(f) = 2620*f - 3. Determine -5*p(h) + 6*u(h).\nAnswer: 2540*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1285000)\/(-1))\/((52\/(-80))\/(-13)). What is m rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111570 and 1650.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 - 142. Calculate the greatest common factor of 38 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 + 7*l - 9. Let j be 16\/(-6) - (-1)\/(-3). Let u(i) = 10 + 7 + 8 - 11*i**2 - 4*i - 20 + 7*i**2. What is j*c(a) - 5*u(a)?\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 434706 divided by 53?\nAnswer: 8202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 4 + 0*f**2 - f**2.\nAnswer: -4*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176.077 - -176. Let a = -0.177 - i. What is the closest to a in -3\/8, -2\/5, -1.8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 135. Let o be w(-22). Solve -331*m = -314*m - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 157. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2 + 3*m**2 + 4*m**3 + 3*m + 2. Let s(l) = -3*l**3 - 2*l**2 - 2*l. Let b = 27 - 23. Calculate b*t(g) + 6*s(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -6 - (-3 - 68\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 3*i**3 + i**3 + (-16*i + 34*i - 17*i)*(-5*i + 2*i**2 + 5*i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*6.4982\nAnswer: -0.64982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -4. Calculate the remainder when 34 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -115*t**2 + 843*t + 11539. What is r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61 + 61 + 9*c + (-908*c + 520*c + 570*c)*(2 - 2 + 2).\nAnswer: 373*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (23 - (-5 + 13 + -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 58 = -10*l, 0 = -27*l + 26*l - k + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 249788?\nAnswer: 249787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.1 + -40. Let r = s + 1. What is r rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 262742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 10*k**2 - 11*k + 22. Let p be 5\/(-15) + (-56)\/(-6). Let w be a(p). Let b = 20 + 0. Solve -z = w*z + b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 665, 11, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*(-14)\/56\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*d - 75*d - 133*d - 55*d in the form k + x*d and give x.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 - 258 - 134 = -80*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/431500 and -181\/1812300?\nAnswer: 9061500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4626 - 4.8503643.\nAnswer: -5.3129643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418781 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.79033km to nanometers.\nAnswer: 95790330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -289*x**5\/20 - 1763*x**4\/24 - 193*x**2. What is the second derivative of n(f) wrt f?\nAnswer: -1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*j**3 - 3*j**3 - 3*j**2 + 14*j**3 + 7*j**3 - 5*j**3 as l + q*j + a*j**2 + s*j**3 and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7046765 and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3667589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3612 and 11\/1978?\nAnswer: 83076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 18, h: 2}. What is prob of sequence yh?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2120025 - 2200?\nAnswer: -2122225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 86.6229.\nAnswer: 7.796061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 39*z + 3. Let g be r(-39). Which is the closest to -2\/3? (a) 1\/5 (b) 2\/5 (c) g (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1636 - 631515?\nAnswer: -626546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*q + 17 - 17 - 2*q - 3*q + 6*q + 0*q + q - 4*q + (q + 4*q - 4*q)*(1 + 0 + 0) + (0 - 1 + 0)*(-2*q - 196 + 196) in the form k + j*q and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in 2\/9, -0.01, -52, -4\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49926*a**3*b**3 + a**3*b*h**2 - 3*a**3 + 23*a*b**3*h**3 - 2*a*h**2 - 3*b**2 - 10749*h**3 wrt b?\nAnswer: -299556*a**3 + 138*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ffxzsccszffcszxf.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v**2 + 2*v + 1. Let m be q(-1). What is the common denominator of 87\/22 and 47\/12 - 8\/m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 8. Let i be d(4). Suppose 3*k + 5*a = 474015, -789991 = -k - i*k + 3*a. Round k to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004879028843 rounded to 6 dps?\nAnswer: -0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*g = -18, -15*n + g - 12 = -12*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39380, -39388, -39396, -39404?\nAnswer: -39412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 377546, 755110, 1132674, 1510238?\n\"Answer: 377564*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 926442486223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 960 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let z(x) = x**3 - 5*x**3 + 3*x**3 + 0*x**3. Let a(t) = -5*n(t) - z(t). What is the derivative of a(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.278744 tonnes?\nAnswer: 6278744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 107064?\nAnswer: 321192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/15 and -40\/10187.\nAnswer: 152805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 532 = -2*n - 562, 4*o + o + 2 = -n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 + 4. Let a be d(4). Suppose -p + a = -2*r + 3*p, -2*r + p = -8. Solve 14 = -5*l - r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 16 = -1. Let a be (g\/(-3))\/((-19)\/1026). What is the greatest common divisor of a and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:03 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4)*40\/10. Solve -t*m + 12 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3626, -7206, -10738, -14222, -17658, -21046, -24386?\nAnswer: -27678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, 665, 2883, 5981, 9953, 14793?\nAnswer: 20495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (0 + 122)*(-15)\/30*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 115*q - 767. Determine l(44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*a + 10741 - 34651 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 2*g**2 - 1844*g + 3491*g - 1647*g.\nAnswer: 2*g**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4643521 rounded to 4 dps?\nAnswer: 0.4644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:05 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 71865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 712 or 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2181? (a) 21 (b) -4 (c) -1\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.66557 seconds to days.\nAnswer: 0.002588721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 114.2369ms?\nAnswer: 114236900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 27. Let f(z) = -30945*z. Calculate u(f(p)).\nAnswer: 216615*p - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78102639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/8)*c)\/c*c**9)\/((c*c\/c**(-2\/17))\/c*c\/(c\/(c**(-14)\/c))))**(-1) assuming c is positive.\nAnswer: c**(-3061\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/4 - 11*r**3\/3 + 6*r**2 + 3*r + 1. Let c be y(-12). Differentiate 4*l - 2*l - 8*l + c + 7*l wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/9 + 402272*r\/3 + 1206818\/9 = 0.\nAnswer: -1, 603409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132000323230 (base 4) to base 6.\nAnswer: 440350324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39043465035377*r**2 + 7*r**3 - 39043465035377*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9628.501 centuries to months.\nAnswer: 11554201.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1864.66386 to the nearest integer.\nAnswer: -1865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7415 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/14 - -11\/42. Let r = -31 - -31. Is h at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -9.87\nAnswer: 0.2961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9795 - 5.7795. Let f = -0.001 - 10.899. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455460145 by -91092029.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**4\/7 + 15*u**3\/7 + 32*u**2\/7 + 12*u\/7.\nAnswer: -u*(u - 3)*(3*u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 + -365 - (2 - 25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9300.687 milligrams to tonnes.\nAnswer: 0.000009300687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-4410)\/(-35))*(-492)\/2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfkuuukuk. What is prob of picking 1 k and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3793)\/(-8)*1 - (-240)\/(-1920). Let a = y - 473. Sort a, -5, -11 in descending order.\nAnswer: a, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4.2, 5.247?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4, 3*z - 2*x - 8 - 6 = 0. Let d(l) be the third derivative of -2*l**2 + 0*l - 1\/60*l**5 + 1\/6*l**3 + 0 + 1\/12*l**z. Calculate d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 676 and -5.23126.\nAnswer: 670.76874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170877 and 2668778?\nAnswer: 824652402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3108b - -4?\nAnswer: 31091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 13*j - 11. Let l be a(-10). Let n = l + 134. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 k when four letters picked without replacement from {d: 1, p: 1, k: 1, r: 3, q: 5, m: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2308*l + 2317*l - 18315 = 0. What is the smallest common multiple of l and 740?\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.378014 centimeters?\nAnswer: 23780.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/27 - (-5576)\/918. Solve 0 = q - 3*q + 5*n - 12, 4*q - n = -y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.6, 94\/5, -5, 5, 28, 0.5?\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 7*s**2 - 8*s + 2. Let y(b) = -b**3 + 21*b**2 + 19*b + 58. Let v be y(22). Does 18 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 12*p**2 + 10*p + 19. Let h be d(11). Suppose -2*c = -4*z - 12298, 3*c + h*z - 18425 = 3*z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -339850 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1051 times 0.2\nAnswer: 0.02102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3590966 and -0.319?\nAnswer: 3590966.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1664 * 3654\nAnswer: -6080256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3333.9811374 to 0 decimal places.\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = 94*u + 33*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-364)\/(-784) + 4\/14. Suppose 0*s + 3\/4*s**2 - h = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 444*f.\nAnswer: 3*f*(f - 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1008*a**2*f**2*w**2 - 2*a**2*f**2*w + 5*a**2*f*w - 55424*a**2*w**2 + 7*a**2 - 317*a*f**2 - a*f*w + 2*f wrt w.\nAnswer: -2016*a**2*f**2 - 110848*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2. Let v(a) = 2*a**3 + 11*a**2 - a - 12. Let q(c) = -k(c) + v(c). Suppose -84*n + 290 = -113*n. Determine q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00723 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(320)*-4.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 - 7 - 3*f + f**3 + 5*f + 2. Let c be b(5). Solve c*l + 19 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.069887 + 0.158734. Let m = 2.241823 + k. Let h = m - 2.34. Round h to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -41*b + 325. Let z(s) = -7*s - 1. Let n(t) = -i(t) + 3*z(t). List the prime factors of n(37).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-4))\/((-3)\/(-12)). Suppose -13 - u = -3*v. Let f = 6 - v. Is f at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -5*v**4\/24 + 9*v**3\/2 + 2*v**2 - 58*v. Let c be h(5). Solve -1\/3*o**2 - 5\/3 + c*o = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-8 - (27 + 1)) + -12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 189320643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*i - 28 = 2*i, 0 = -u - 3*i + 16. Solve 4 = -u*l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -59*x**3 + x**2 + 16*x - 30. Give i(3).\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = y - 55468 - 65559, f = 5*y + 40353. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - q - 123 = 0, 126 = 4*h - 5*q + 3*q. Suppose 544 = -h*w + 34*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 11) to base 3.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g - 73073 = -50*g. What are the prime factors of g?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26\/5 - 2\/5*j**2 - 24\/5*j = 0 for j.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t = -600*t - 3313 - 11968 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 12) in base 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -10 (b) -0.308 (c) 4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.3, 9.79, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10464 and -73\/192?\nAnswer: 20928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q, 5*p - 50*q = -49*q - 862. Put p, -6, -3, -1 in decreasing order.\nAnswer: -1, -3, -6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*7)\/(4 - 6). Let j be (s\/((-14)\/12))\/(10 + -9). What is the second derivative of 2*p**3 + 256*p - j*p**3 - 233*p wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421750687.\nAnswer: 7, 203107241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.749 in 1\/2, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -0.5, 148, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.755 - -25.7549987943. Round y to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -42\/23749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. What is the common denominator of 41\/22 and 399\/(-66) + 4 + u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + 2*i**3 - 11*i + 3 + 2*i - 7*i**3 + 10*i**2. Let w be q(9). Suppose -o + 3 = -w. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:54 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b\/((b**(-1)\/b)\/b))\/b*b)\/b*b))\/b)**23*(b*b**(1\/9))\/(b\/(b*b\/((b*b\/b**(-4))\/b))) assuming b is positive.\nAnswer: b**(-1061\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h + 4*c, c - 1 + 3 = -5*h. Suppose -3*z + 3*t + 3 = -15, h = -5*z + 4*t + 25. Suppose -11*r + z = -12*r. Which is bigger: r or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 + 25*j**3\/3 - 5*j**2 + 3*j + 15. Is o(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 122 - 109 = 2*g, 0 = -3*g + 5*s + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvdexdllvdd. Give prob of picking 1 l and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19061471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.4 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -14*p - 64 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1141, -1122, -1067, -958, -777, -506, -127?\n\"Answer: 3*y**3 - 2*y - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - -178. Suppose 9*f + 10*f = u. Solve 20*c - 12*c + f = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 1532*q\/5 + 1534\/5.\nAnswer: -2*(q - 1)*(q + 767)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(306\/(-90))\/(-17)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q - 6. Let j(h) = -268 - 275 - 16*h - 275 + 823. Give -7*j(n) - 6*p(n).\nAnswer: 10*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3770 * 109.\nAnswer: 410930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7244, 14465, 21688, 28913, 36140, 43369?\nAnswer: 50600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)*(-4)\/(-60). Let m = -26 + 33.8. Let r = -7.7 + m. What is the third biggest value in v, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4, -4*c - 20505 = 9*w - 20402 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 10:11 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 + 45 = 33*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/110 and ((30\/(-128))\/5)\/((-2925)\/(-468)).\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1060, 2129, 3212, 4315, 5444?\nAnswer: 6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -12?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3653008 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*b + b + 18, 2*t - b - 21 = 0. Calculate the least common multiple of t and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least 48567\/3148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3342023102 + -10?\nAnswer: -3342023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((-3)\/3 - -3). Suppose 27 - 7 = 5*h. Sort h, d, 5 in descending order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 + 2447. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -130563 in decreasing order.\nAnswer: 1, -4, -130563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 9*k**2 - k**2)*(1 - 1 - k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/12 - k**3 + k**2 + 674*k. Let p(n) = -n**3 + 7*n**2 - n + 3. Let m be p(7). Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -482\/21 + 156\/7. What is the third biggest value in -0.2, -5, w, 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -2*(sqrt(11) - (-1*sqrt(11) + sqrt(11)))**2 - (-3*(sqrt(11) + 2))**2) + (sqrt(1584) + 3 + sqrt(1584))**2 + -2.\nAnswer: 109*sqrt(11) + 6230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q. Let f = -3 - -5. Suppose q = -f*x - 0*x + 12. Solve -x = w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 12*p + 45. Let w(u) = 4*u**2 - 6*u - 18. Give -10*w(i) - 4*x(i).\nAnswer: -4*i**3 - 4*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -101, -276, -519, -830, -1209, -1656?\n\"Answer: -34*s**2 - 73*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*a**2 - 26 + 14 + 12.\nAnswer: -157*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 162, 187, 216, 249, 286, 327, 372?\n\"Answer: 2*i**2 + 19*i + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 + 2*n + 3. Let c be f(3). Let r = -7 + c. Solve -r = l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2118, 4106, 6080, 8034, 9962, 11858, 13716, 15530?\n\"Answer: -l**3 - l**2 + 1998*l + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:23 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 47*x - 24 = 0. What are the prime factors of 45 - (x\/4 + -1) - 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 21, 0.3, 3\/2, -167?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + -4.4. Let a = -9 - h. Let v = 0.46 + -0.06. What is the third smallest value in a, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 5275?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1116\/(-176) - 35\/(-28).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -0.4 (c) -0.5 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 4*s**3 + s**3 + (5*s**3 - 2*s**3 - s**3)*(3 - 5 + 0) + 16*s**3 - 4*s**3 + 8*s**3 + 2*s**3 - 1 + 1.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:27 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -47*x**3 - 13*x**2\/2 - 24*x. Is m(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 5:46 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188073.\nAnswer: 1188073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 48. Let d = 6 + q. Which is the closest to 0.1? (a) 4 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1340.996717 - -1341. Round a to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -29 (b) -3 (c) -0.05344 (d) 5 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (20 + (21 - 7 - 27) + 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 537382 - 89409. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 12*x - 10. Let i be l(7). Let z = i + -12. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19698)\/30870 - 4\/(-7))*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -914\nAnswer: -31990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.74894 years in decades?\nAnswer: 7.974894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-962)\/296*(7 - 15 - -10).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550 by -50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -339. Let f = -312 - t. Let c = -88 - f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68 - -35) + -17 - -74?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x = 5*s - 19, -x - 3*s + 3 = 0. Solve 23*j + 12 = 27*j, n - 3*j = -x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19313 divided by 1?\nAnswer: -19313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 37*t**2 + t + 42. Calculate c(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96726400 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2.21, 0.2, -296\/49, -2\/5 in ascending order.\nAnswer: -296\/49, -2\/5, -1\/4, 0.2, 2.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*h + 1716 + 4320 = -1884 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6443.\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 2. Suppose 34 + t = 4*x. Let s = x + -20. Let h(c) = -22*c - 1. What is h(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + 162*u + 319. Determine y(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.380061 decades to millennia.\nAnswer: 0.09380061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/80 and 39\/292.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41029, -82119, -123209, -164299, -205389?\nAnswer: -246479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -89 from -90065.\nAnswer: -89976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383277 and 4581.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25691 and 76902099?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, z: 2, x: 2}. Give prob of sequence zo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1015339\/8 less than or equal to -126918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2248.5 + -0.09.\nAnswer: -2248.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3162 divide 238626654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + b - 295 - 288 = 0, 2*k - b - 397 = 0. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -32\/69*q**4 - 1\/483*q**7 - 9*q + 5 + 0*q**2 - 24\/115*q**5 + 0*q**3 + 1\/23*q**6. Find j such that x(j) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -22*k**2 - 48. Let c(h) = -2*h**2 - 4. Let q(i) = 68*c(i) - 6*l(i). Solve q(n) = 0 for n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -21.3. Let m = 11 + q. Let n = -8 - m. Put n, -2, 0.4 in decreasing order.\nAnswer: n, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 7*i. Let j(l) = 7*l**2 - 35*l. Let f(q) = j(q) - 5*y(q). Let w(d) = 1117*d**2. Calculate w(f(u)).\nAnswer: 10053*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 1829*n + 135978. What is k(-262)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 9*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*x + 44*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:10 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 - 2*g**3)*(-g - g + 4*g)*(7 - 7 + 8*g).\nAnswer: -32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 404241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqsqcsmimsyimc. What is prob of picking 2 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 24*n**2 = 0. Calculate n.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 13) to base 14.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 11641485*x - 256110250 = 0 for x.\nAnswer: -2328275, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:28 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((144\/210)\/6)\/(((-286)\/11)\/(-13)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 11. Let q be 2 - (-6 + 4 - -2). Suppose 6*u = 4*u + 24. What is the remainder when u is divided by i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43089 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6597 - 6597. Solve 0 = -3*z + z - 2*l - 2, -4*z - l + 11 = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011001000010 (base 2) to base 7\nAnswer: 40361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001256303 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79696 at least 79696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -52*p - 27. Let r(z) = 2*z + 2. Let s(w) = d(w) - 2*r(w). Is s(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -1\/44 (c) -8 (d) 2 (e) -1\/92 (f) 96\/11 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114.5 + 92. Let f = 16.42 + l. Let r = f + 0.08. What is the smallest value in r, 0.5, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -389 + 649. Let w = 260.0109 - d. Round w to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2052\/45 + 12\/(-20). Let m be (-77)\/205 + 3\/q*6. Is 0 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 = -4*h + 28, -4*h + 12 = x. Let c(k) = -11 - 4*k + 2*k**2 + 4*k + 7*k. Let p(r) = r**2 + 4*r - 6. Determine x*c(i) - 7*p(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 10. Let y(q) = 23*q**2 + 47*q + 1. Let g be y(-2). Let o(u) = 1. Give g*m(i) - 6*o(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351827247?\nAnswer: 3, 43, 383, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646793 is divided by 1356?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 922 and 2305.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450771109.\nAnswer: 3, 37, 7359673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, c: 5, k: 2, w: 4, t: 2}. Give prob of sequence ttc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003749339 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726607.283 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsv when three letters picked without replacement from iavst?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/72*(-12)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**2 - 6*g**2 + 11*g**2 + (-5*g + 4*g + 0*g)*(-g - 4*g + 7*g) - g**2 - g**2 + 13*g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001089 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) + 44\/(-4). Let g = 31 + l. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 5*u - 12 = 48*q, -q = -5*u - 3. Calculate the greatest common factor of q and 91.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 1879 = -1929 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 219*k - 6. Let p(d) = 217685*d - 5967. Determine 3978*h(w) - 4*p(w).\nAnswer: 442*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 37 = -4*z - z, -5*a = 2*z + 8. Let y(q) = q**2 + 11*q + 2. Let i be y(z). Let l = 20 + i. Solve -2*x + l = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, s: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -910, -873, -846, -829, -822, -825?\n\"Answer: -5*g**2 + 52*g - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.1 - 27197.\nAnswer: -27140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-869)\/(-44) - 16). Which is the second biggest value? (a) d (b) 1\/9 (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455563 a multiple of 1792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -12 - 30. Let y be 10\/(2\/1 + (-360)\/170). Let a = y + 141. What is the greatest common divisor of g and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16259443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10948519 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 48, 55, 74, 111?\n\"Answer: h**3 - 3*h**2 + 3*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, e: 3}. Give prob of sequence xxxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(847)*-1*5)**2 + (sqrt(847)*-3 + 5)**2 + 5.\nAnswer: -330*sqrt(7) + 28823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/10 - 112*r\/5 - 223\/10 = 0. Calculate r.\nAnswer: -223, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 8, i: 2, t: 2, m: 6}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczozzaq. Give prob of picking 1 z, 1 a, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 15*r**2. Suppose 13288*l - 13278*l - 20 = 0. Let t(j) be the third derivative of 0*j**3 + 1\/60*j**5 + 0 - 13*j**l + 0*j + 0*j**4. Give a(t(h)).\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - 3 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - b + 2*b)*(b**3 + 1 - 1) + (-5 + 10 + 2*b**3 + 0*b**3)*(b + 3*b - b) in the form q*b**2 + t*b**4 + k*b**3 + y*b + a and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14995429 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68028*l*r**6 + l*r - 4*l + 112*r**2 + 2 wrt r?\nAnswer: -8163360*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -272, 5, -10, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5888\/6153 + 4\/879. Calculate the common denominator of -38\/27 and o.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3633*x + 683 + 109 - 41 + 1508 wrt x.\nAnswer: -3633","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -1924, -6636, -15936, -31384, -54540, -86964?\nAnswer: -130216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 88.\nAnswer: -7, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6986*t + 8360*t + 6 + 10 - 18 to j*t + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(400))\/(sqrt(288)*-2) - (0 + -2 + sqrt(72) + 5))**2.\nAnswer: 31*sqrt(2) + 1123\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(2) + 4).\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13506804, 27013655, 40520506, 54027357, 67534208?\nAnswer: 81041059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3*o**2\/2 - o + 34. Suppose -3*b + 2 = 2*c, 2*c + 4 = -b + 6. Suppose -d + 3*d + 4*g = 0, b = d + g - 1. Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296.9 - -301.9. Let m = 0.5 + -0.5. What is the nearest to m in k, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + y + 38, -14*g + 18*g + 124 = -14*y for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/7)\/(30\/(-140)). Let h be 1996\/b - 4\/3. Suppose h = 4*l - 127. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k - 884 = 92 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:44 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 25087545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z + 192. Let y be t(0). Suppose -4*g = o + g - 36, -4*o + 4*g = -y. What are the prime factors of 1 + (4 - o)\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 40 = 5*k, -4*c + 20652 - 20612 = 5*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11618.473 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1129702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138045, 137937, 137763, 137511, 137169?\nAnswer: 136725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 20 = -5*j. Suppose 4*n + 3 = -5*f - 11, 2*n - j*f - 8 = 0. List the prime factors of 1\/(n\/((-51)\/3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(-3)*-15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 74, 109, 144, 179, 214?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 + 605*g**2 = 0 for g.\nAnswer: -121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536415 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + x**3 - 3*x**2)*(-114*x + 21*x**2 + 114*x).\nAnswer: 21*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.92 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006393 to four dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/780 and 55\/3848?\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -0.3, 3, -4\/5 in ascending order.\nAnswer: -4\/5, -0.3, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and (1 + 0)\/((-17)\/(-11220)*12).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.293*-0.558\nAnswer: -0.163494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(32) - (sqrt(224)\/sqrt(28) + sqrt(32))) + sqrt(32) + 0 + -4)**2*4.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2838?\nAnswer: 5\/2838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*j**2 - 17611 + j - 17615 + 35222 as x*j**2 + f*j + m and give x.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m + 42444 = 168*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h**(1\/2)*h))*h)**46\/((h\/h**(-1\/2)*h)\/h)**26)\/((h*h**(1\/2))\/(h*h\/h**(2\/7))*(((h\/(h**(1\/3)\/h)*h)\/h*h)\/h)**(-12\/5)) assuming h is positive.\nAnswer: h**(2411\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -310*a**2 + 569*a**2 + 1971*a - 262*a**2 to the form i + c*a + t*a**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-3.039.\nAnswer: -33.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*b - 20 = 0, 2*k - 52*b = -57*b - 8 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -204*b**4 - 464 wrt b.\nAnswer: -816*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7075 - -7225. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d**2 + 3)*(d - 3*d + 5*d)*(12*d + 29*d + 9*d).\nAnswer: -150*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a tonne in kilograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 < 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3*x**3 + 2*g**3*x**2 + 581242*g**3 - 66093*g*x**3 wrt x?\nAnswer: -30*g**3 - 396558*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22968)\/(-165) - 36\/(-45). What is the highest common divisor of w and 880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(-1\/35)*(j**(-2))**17 assuming j is positive.\nAnswer: j**(-8328\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339428004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 373212.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -48, -197, -498, -1005, -1772?\nAnswer: -2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34199 and 63932.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1398, 2825, 4248, 5661, 7058, 8433, 9780, 11093?\nAnswer: 12366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3732 by 1.\nAnswer: 3732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 868\/14 - (-6)\/1 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-1\/11))\/i)\/i)\/i)\/(i*i**2)*(i*i**(-8))\/i**(10\/7) assuming i is positive.\nAnswer: i**(-1027\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -152201 (base 6) in base 13?\nAnswer: -6946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43184.\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 6. Let p be y(0). Let f = p - -8. Factor 12 - 4*x - 19*x**2 + 15*x**f - 4*x.\nAnswer: -4*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23355203, 23355198, 23355191, 23355182?\nAnswer: 23355171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(14\/112*4) + 276\/(-36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + sqrt(88)\/(sqrt(16)\/sqrt(2)) + -3)**2 - (((sqrt(11) - (sqrt(44)\/sqrt(4) + -3)) + -1*-1*sqrt(11))**2 + (sqrt(44)\/sqrt(4) + -2)*6).\nAnswer: -26*sqrt(11) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1133\/10 + 379\/5. Let r = a - -751\/20. What is the common denominator of ((-89)\/(-5))\/(1536\/(-80) - -18) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/140 + j**4\/28 + j**3\/42 - 3*j**2\/14 - 6*j. Suppose m(q) = 0. Calculate q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/5, -5\/6, -14, -2\/3?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - i + 27610, 2*x - 5*i - 7312 - 3732 = 0. Which is smaller: 16562\/3 or x?\nAnswer: 16562\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118303033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59631.75 tonnes?\nAnswer: 59631750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*c + 93 = 4*l, 3*c = 2*l - 35. Suppose 4*q = b - 5, l*b = 23*b - 4*q - 32. Is 9 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**4 - v**3 + v - 1. Let n(r) = 84*r**5 + 2*r**4 + 2*r**3 - 61*r + 5. Let a(g) = -2*m(g) - n(g). Find the second derivative of a(y) wrt y.\nAnswer: -1680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.992 - -4.992. Let p = -5.6 + 4.6. Which is the third biggest value? (a) p (b) x (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9021338.4 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafffajffttottt. Give prob of sequence ja.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13800276.756 from -5773.3.\nAnswer: 13794503.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78122533*h + 51478561 wrt h.\nAnswer: 78122533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/6 - y**3 + y**2 - 10*y + 1. Let v be m(-4). Does v = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 3*r + 26 = 0, 0 = 2*v + r - 17. Calculate the lowest common multiple of v and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -29\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4501 - 40465\/9. What is the common denominator of c and (-252)\/110 + 2\/10?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 836 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001946081014 rounded to 7 dps?\nAnswer: -0.0001946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2081 - -2080.94. Which is the second smallest value? (a) r (b) -0.2 (c) 0 (d) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446386 = 4070*b + 46084 for b.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-1235)*(-510)\/4284\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103992 and 883932.\nAnswer: 1767864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34 - 111 - 13*q + 12*q**2 + 19 - q**3 + 8. Let l be r(10). Solve 17*g - l*g - 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83005\/4875 + (98\/525)\/(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.8?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -202301312?\nAnswer: 202301200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 21450*l**3 - 64315*l**2 + 42870*l = 0 for l.\nAnswer: 0, 1, 2, 4287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**5\/5 - 10*i - 1. Differentiate o(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 + 7*h - 32. Let m(r) = 7*r**2 - 16*r + 68. Let j(b) = -9*f(b) - 4*m(b). Determine j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 446, 670, 894?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 24. Let b = o + 16. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, y: 9}. What is prob of sequence pypy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**2 + 43*t**2 - 2 + 42*t - 48*t**2 + 3 in the form q*t + d*t**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5 - c**3 - 5 + 4*c**2 + 2*c - 2. What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:10 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -0.2. Let l = -0.4 - -0.1. Which is the third smallest value? (a) d (b) l (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41488 is divided by 451?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7409, 14819, 22229?\n\"Answer: 7410*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 36666289*j + 36666289*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19459, -77908, -175337, -311746, -487135?\n\"Answer: -19490*t**2 + 21*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2. Suppose 10*q - 28 = 8*q. Let c(l) = 26*l + 14. Let f(s) = -9*s - 5. Let k(j) = q*f(j) + 5*c(j). Determine k(d(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(567)*3.\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156.88 - -156.879989537. Round s to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76547737 divided by -4\nAnswer: -76547737\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**4\/24 + 3*g**3\/2 - 24*g**2. Suppose 5*r + 11 = 31, 3*r = -h + 22. Let v(b) = h - b - 2*b + 4*b. What is -7*j(u) + 6*v(u)?\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 + 21?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141000204 is divided by 2210.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c = -296*c + 3564 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -58*t**4\/3 - 17*t**2\/2 + 235*t. Find the first derivative of n(l) wrt l.\nAnswer: -464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29378, -58758, -88138, -117518, -146898?\n\"Answer: -29380*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 57640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + r + 3. Let z be m(-2). Find the common denominator of -82*(z + 3)\/(-32) and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331 + -10?\nAnswer: 11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/6)*w*((w*((w*w**(-2\/45)*w*w)\/w)\/w)\/w)\/w assuming w is positive.\nAnswer: w**(71\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -383, -2, 0 in ascending order.\nAnswer: -383, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/22)\/(-181*20770\/(-308605)).\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16085207, -8 in increasing order.\nAnswer: -8, -3, 16085207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31845 divided by 33.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 + 12*c\/7.\nAnswer: -3*c*(c - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 282939563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -227, -458, -843, -1382, -2075?\n\"Answer: -77*s**2 - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24300, 48537, 72774, 97011, 121248?\n\"Answer: 24237*i + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16099*p + 26225 + 9224 - 3251 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20278, -40694, -61112, -81532?\n\"Answer: -a**2 - 20413*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6\/65, 0.026, 0.8, 161, -2\/9, 2\/19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201837 bigger than -672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88410 + -54431. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7557 - 10*s + 3894 + 2480.\nAnswer: -10*s - 1183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -5, 21, 69, 145?\n\"Answer: a**3 + 2*a**2 - 3*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 124\/93*39\/962\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616153, -616162, -616185, -616228, -616297, -616398, -616537?\nAnswer: -616720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -12b6?\nAnswer: 12b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/6)\/((-2)\/(-36)) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s + 15. What is c(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z - 211*z = 11097 for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18999 is divided by 1776.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 159 = -44. Let c(o) = -12*o**3 - 2*o + 5. Let h(q) = 13*q**3 + 2*q - 6. Calculate n*h(i) - 6*c(i).\nAnswer: 7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3842*j + 2403 wrt j?\nAnswer: 3842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*q - 236 = 5*t, 4*t + 516 = 3*q. Let y = -45 - t. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100, -5, 90?\n\"Answer: 95*q - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1178 - 393. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + 2*f)*(-135861 + 135862 + 2*f**2 + 131*f - 1445*f).\nAnswer: 4*f**3 - 2628*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 5:51 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/7))**(4\/17))**5 assuming p is positive.\nAnswer: p**(120\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.62 and -21.73.\nAnswer: -24.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10783 (base 9) to base 15\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12985 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: Let p(r) = 9*r + 11. Let k(c) = -57*c. Let a(f) = -7*f. Let m(x) = -8*a(x) + k(x). Give m(p(n)).\nAnswer: -9*n - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -39698717.\nAnswer: -10\/39698717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6006677*c**2 - 12*c - 170836 wrt c.\nAnswer: 12013354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*q, -2875 = -14*f + 19*f + 5*q. Put 1, f, -3, 0 in descending order.\nAnswer: 1, 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -268, -536, -804, -1072, -1340, -1608?\n\"Answer: -268*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 352*r + 26053. Determine z(-74).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - i - 2. Suppose 1 = 4*w - 7. Let s be z(w). Suppose 45 = s*l - 11. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 222325123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 241, 549, 991, 1573, 2301?\nAnswer: 3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1217202 by 3066.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t - 186193 - 1463968 - 467240 = 0. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n + 16. Suppose 8*o + 29 = -11. Let m be l(o). What is the remainder when (-4 + (-55)\/(-15))*m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 5*q + 5*v, 15*q + 7103*v - 3539*v + 70 = 3559*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1262382, 1262371, 1262360?\n\"Answer: -11*o + 1262393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0. Let h = 0.02 + -0.42. What is the third biggest value in -3\/5, l, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -19, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1309191687 divided by -436397229\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 92*k**2 + 376*k + 32 = 0?\nAnswer: -4, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummumuummuurmuuruu. Give prob of picking 2 u.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 291 + 69 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -137*c + 28398. Determine n(208).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-11)\/3. Let j(p) = -1 + 4*p + 2*p - 5*p + p**2. Let z be j(-3). Solve -l - 6 = 2*n, 0 = n + z*l - 12 - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23249, 46498, 69747, 92996, 116245?\nAnswer: 139494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/430 and 3\/12349858.\nAnswer: 61749290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 11 - 6*a - 2*a.\nAnswer: -16*a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23143 is divided by 351?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 332370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 2499*p**2 + 53363*p - 49. Determine k(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 5*j + 50 + 4*j. Let x be 20\/(-15) - 5\/6*-16. Let s be b(x). Solve -2 = -0*t - s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147517*h**3*w**3 - 13*h**3 + 65*h*w**3 - 2875*h + 112 wrt w?\nAnswer: -442551*h**3*w**2 + 195*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = 2. Let w(g) = g + 5. What is the lowest common multiple of w(3) and (d - 2) + (-12)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.4, -1\/4, -3\/5750?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19561 or 1?\nAnswer: -1\/19561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/4 - 2*r**3 + 3*r**2 - 7*r + 1. Let h be p(5). What is the second smallest value in h, 2\/9, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243213 (base 9) to base 15.\nAnswer: 2d703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479678 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 30 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.974954259 - -0.025004741. Let q = x - 26. Round q to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*a - 85650, -68508 = -4*x + 453*a - 460*a. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 1.4. Which is the nearest to -1\/4? (a) 0.1 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 37, 53, 69, 85, 101?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 617853.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4703 is divided by 519?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 28*y - 455. Let m(b) = -13*b + 226. Give 13*m(g) + 6*p(g).\nAnswer: -g + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*210\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14746426 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = -5*y, t = -3*t + 5*y + 22. Let m be 2\/t + 40\/12. Suppose 5*g = -5*u + 395005, m*u + 3*g - 40741 = 275262. Round u to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.5, -0.2, 0.1, -233, 6.6?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2227.51, -4\/7, -19?\nAnswer: 2227.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -299, -587, -873, -1157, -1439, -1719, -1997?\n\"Answer: g**2 - 291*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81213 by 10.\nAnswer: -81213\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**20)\/j**0 assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327757 is divided by 680?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9520\/272*(-9)\/(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w = 24, 2*h - 19 = w - 3. Let z(u) = 9*u + u + u - 3*u + 5. Does 19 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 2\/13 (c) -2 (d) -41\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -438*w. Let y(r) = 3098*r. Determine f(y(b)).\nAnswer: -1356924*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/138848385 or 1?\nAnswer: 2\/138848385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 10 (b) 2.6 (c) 11 (d) 2 (e) -3 (f) 0.082\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135692 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (0 + -3) - 10. Let f be 30\/8 + l\/(-28). Solve -f*v - 10 = m, 0 = -2*v + 3*m - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1197812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**3 + 12*y + 15. What is the remainder when p(-2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161395 divided by 59\nAnswer: 161395\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 5) + 1 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -k + 2, b - k = -4*b. Put 3, -3, b in ascending order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1 + 3*d**2 + d**2 + 2*d + 0*d**2. Suppose -5*r + 20 = 0, 5*r = 2*p + 2*p + 16. Give z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:29 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -9 (c) 3 (d) 2 (e) 32 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Calculate the common denominator of (-2)\/i - 183\/90 and 3\/2 - (-34)\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k*k\/(k**(-3)\/k)*k*k*(k**(-3\/7)\/k*k)**(-10\/17) assuming k is positive.\nAnswer: k**(387\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648476*c**2 + 648478*c**2 - 1296965*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1257 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6297637, -12595245, -18892853, -25190461, -31488069, -37785677?\nAnswer: -44083285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 1, y: 1, q: 1, c: 1}. Give prob of sequence cqye.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 2*s + 3*s)*(1088 - 1088 + 16*s) + (2 + 2 - s - 5)*(-3*s + s + s)*(1 - 2 - 6) as o*s + k + z*s**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100011 - -10?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 674 = -1. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*h + w + 5 = -77*h, 2*h + w - 7 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -294*s**2 - 6408*s + 1395. Determine w(-22).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.5849 - -0.1.\nAnswer: 85.6849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let r be 2\/8*20\/5. Let x(o) = o - 1. Let g(n) = -2*n. Let v be g(2). Let w(k) = k - 2. Let u(m) = v*x(m) - w(m). What is r*u(d) - 6*j(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from ddddwviwddd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.04, -2, 0.02?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25544341\/5 > -5108867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945956267.\nAnswer: 421, 2246927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -82883 (base 14) in base 6?\nAnswer: -10424003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*(26\/(-6) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21078820 and 785.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 11. Let l be k(-3). Suppose 2*b + z - l = 3, -4 = -b + z. Solve 2*f = b*m - 9, 5*m + 5*f - 1 + 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, a: 3, u: 3}. Give prob of picking 2 v and 1 u.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-18))\/(42\/7)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/289 - -172334\/2601. Let m = w + -66. Suppose 5*v + 3*v - 32 = 0. What is the nearest to m in 1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1782397330 to the nearest integer?\nAnswer: 42218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -22. Calculate the highest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o - 139. What is t(13)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -39 (b) -104861 (c) -49 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 5) + 4*8. Find the common denominator of 64\/3 and (42*v\/36)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a milligram in micrograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 + 6*x**2 + (-3 + 2*x + 3)*(2*x + x - 2*x))*(4*x - x - 4*x) in the form o*x**2 + g*x**3 + t*x + u and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 18*k + 24. Let s be v(-17). Let c be (-19 + s)*8\/(-3). Let a = c - -87. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:38 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let a(j) be the first derivative of -j**3 + 6*j**2 + 3*j + 26. Let v(t) = a(t) + 6*c(t). Suppose v(p) = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -58.7, -4, 2\/7.\nAnswer: -58.7, -21, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 - 59*n + 692. What is x(-14)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 204.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -134*c. Let z(u) = 442*u + 440*u - 1324*u + 443*u. What is b(z(i))?\nAnswer: -134*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o. Let i(t) = -4*t**3 - 4*t**2 - 7*t + 5. Let a(u) = -i(u) + 5*y(u). What is a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*m + 14, -2 = m - 0*m - i. Factor 10\/3*d**3 - 2\/3*d**4 - 4\/3 - 6*d**m + 14\/3*d.\nAnswer: -2*(d - 2)*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 148*u**3 + u**2 - 1. Let k(x) = -x**3 + 15*x**2 - 16*x + 29. Let m be k(14). What is the hundreds digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (23 - (19 - -2)) + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let v(b) = 3 + z*b + 3 - 6. Let x(w) = 25*w**2 - 38*w**2 + 18*w**2. Calculate x(v(g)).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -i - 1, y - 5*i + 17 = 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -e6e (base 15) in base 12?\nAnswer: -1a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 2*z**3 - 63*z**2 + 128*z - 64.\nAnswer: (z - 8)*(z - 1)**2*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -110000?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5667397 or -5667414?\nAnswer: -5667414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/7 + 17\/21. Let r be -2 - ((-6)\/4 - 2). What is the closest to 0.1 in r, -0.16, o?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6\/280 - 3*t**5\/140 + t**4\/28 + 2*t**2 - 1. Let p(i) be the second derivative of g(i). Factor p(r).\nAnswer: 3*r*(r - 2)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 15, -117895\/426 in descending order.\nAnswer: 15, 2\/9, -117895\/426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4 - 2 + 1 + 3 + 3 - 4 + 0 + (-4 + 4 + 1)*(4 - 4 - 2) + 0 + 1 + 0 + 2 - 7 + 4)*(4*i - 2*i - 3*i)*(279 + 234 + 108).\nAnswer: 3105*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -16. Calculate the remainder when 36 is divided by (0 + -1)\/(u\/38).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -449117, -898221, -1347313, -1796393?\n\"Answer: 6*z**2 - 449122*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnfnnnnlnlrrrn. Give prob of picking 1 r and 2 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -7*u - 1. Let f(v) = -5*v**2 - 3*v**2 - 2*v**2 + u*v**2. Let t(w) = 3*w. Determine f(t(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/10 + 5845\/25?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41946, 41800, 41558, 41220, 40786, 40256?\nAnswer: 39630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 4. Let j be q(3). What is the remainder when 63 is divided by (1 - 6\/j)*-8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-4*q + 3*q**2 + 4*q - 2 + 2 - 2*q**2 + (q**2 + q - q)*(1 - 1 + 1)) + 19 - 19 + 5*q**2 + (-2 - 3 + 3)*(q**2 + 3*q**2 + 5*q**2).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q + 1189 - 53*q + 64*q. What is the thousands digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/6 + 14\/3. Let r = 0.1 + -0.3. What is the closest to -1 in -0.5, r, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42966\/4937 or 8?\nAnswer: 42966\/4937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670761 to the power of 1\/2, to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b - 45 = 0. Let p be (-70)\/b*(-6)\/(-4). Solve -5*r + 22 = w, w - 5*r + 25 - p = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m + 3. Let k(y) = 42 + 37 - 113 + 33. What is -j(q) - 4*k(q)?\nAnswer: 11*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x - 207*x + 401*x)*((-6*x**2 + 6*x**2 + 5*x**2)*(2*x + x - 7*x) + 2*x - 2*x + x**3 + (x**2 + x**2 + 0*x**2)*(-2*x + x + 0*x)).\nAnswer: -3717*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1450, -958, -466?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 22*k**2 - 22*k - 96. What is c(-10)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-729)\/36)\/(4\/(64\/6)). Let s = 57 + j. Suppose y = -7 - s. Which is smaller: y or -29\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 13. Let w(p) = -p - 2. List the prime factors of w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 0.07, 2\/9.\nAnswer: -0.3, 0.07, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 4*v - v)*(5*v + 2*v**3 - 5*v) - 6021 + 6021 - 192*v**4 in the form q*v**4 + d*v + h + i*v**2 + f*v**3 and give q.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**8\/120 - 5*w**4\/24 + 4*w**3 + 13. Let d(q) be the third derivative of s(q). What is the derivative of d(i) wrt i?\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqqq when four letters picked without replacement from tqqqqqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3904.762669 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20167439.\nAnswer: 59, 341821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6465531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.5957+-5337931984\nAnswer: -5337931982.4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let a be 3\/(-15) - (-6)\/50. Let b = a - 17\/100. What is the closest to 1 in 0.1, b, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (2 - 4 + 3)*(3 - 6 + 1))*(4*h + 0*h + 0*h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1585.34706 rounded to one decimal place?\nAnswer: -1585.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 943 + -481. Calculate the greatest common factor of 42 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341142180 and 2678.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 6:43 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13301\/30 + -1321\/3. Find the common denominator of -51\/50 and p.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -64) + (-3 - -6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2. Let l(k) = -k + 9. Let a(b) = 1. Let i(w) = 18*a(w) - 2*l(w). What is i(g(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -483 + 195. What is the remainder when ((-36)\/15)\/(10\/(-225)) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/(-140) + 115\/238. Let p(o) = -23*o + 2. Let l be p(1). Let h = -22 - l. Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 35\/2, -1\/15, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 4339*l**2\/4 - 207559*l\/2 - 1755468.\nAnswer: (l - 4433)*(l + 22)*(l + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(77)*-2*5)\/(-1*sqrt(44)) + -2.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165538565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 3*t - 2*i + 72, 0 = -5*t - 5*i + 415. Let z = t + -56. What is the remainder when z is divided by (25\/10)\/5*(-2 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -b?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1225 * -0.06\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfyyyyyyfyyfyfyyyyy. What is prob of picking 2 f?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8)*((816\/(-63))\/17)\/(-2)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1094, 1304, 5300, 10888, 18062, 26816?\n\"Answer: -t**3 + 805*t**2 - 10*t - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -11) + -21 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12864*t + 77277. Let c be l(6). Let v(r) = 6*r**2 + 4*r - 1. Let x be v(-4). Let k = x + -48. Calculate the greatest common factor of c and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -2 + 0 + -1. Let j be (-40)\/y*27\/6. Let p(x) = -3*x + 3. Let b be p(-4). What is the greatest common divisor of b and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + -3 + 50\/(-12) and -25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6119 * -35\nAnswer: -214165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194331?\nAnswer: 3, 211, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9664?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*o - 36*o - 169512 - 39*o.\nAnswer: o - 169512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*p + 758*p**4 + 7*p**2 + 15*p**2 + 8*p - 760*p**4 wrt p?\nAnswer: -24*p**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 2\/5, 6\/11, -149835.\nAnswer: -149835, 2\/5, 6\/11, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 285*b**2 - 3355*b + 63. Calculate i(11).\nAnswer: -2357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3081*v - 575*v + 2255*v - 1428*v + 2683*v in the form u*v + m and give u.\nAnswer: 6016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 3. Let o(s) = -4*s**2 - 2*s - 1. Let y be o(-1). Give z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*y**2 + 9*y**3 - 20*y**3 - 10*y**3 wrt y?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnownonjwjwnjggjjo. What is prob of picking 2 j, 1 n, and 1 w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1087 * 1583.\nAnswer: 172.0721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 x when three letters picked without replacement from byxbybbbbb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11556066 and 19038.\nAnswer: 11556066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5 - 2648\/(-3310)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.3. Suppose -2*r + 4*n - 82 = -3*r, 5*n = 4*r - 370. Let a = 91 - r. What is the nearest to -1 in a, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261524*q**5 + 2*q**4 + 3*q**3 + 117*q**2 - 53*q - 141 wrt q?\nAnswer: -15691440*q**2 + 48*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 29*a + 573. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccck when four letters picked without replacement from skckskkckkkckkk?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -815, -2172, -4477, -7964, -12867, -19420, -27857?\nAnswer: -38412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-49)\/(-98)*(-564)\/36 and 7\/70*515\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 144. Suppose b + 10 = 5*r, w*r - 12*r = 3*b - 3. Solve -3*p + r = 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.685299 to 3 decimal places.\nAnswer: -0.685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1000120?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3048 and 67\/385572.\nAnswer: 771144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25289653, -25289659, -25289667, -25289677?\n\"Answer: -q**2 - 3*q - 25289649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47538 + 31685. What are the prime factors of u?\nAnswer: 227, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1900, -1975, -2056, -2143, -2236?\n\"Answer: -3*z**2 - 66*z - 1831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 + (4 - 2) - 2 is divided by ((-20)\/(-21) + 4\/(-14))\/((-50)\/(-525))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/243349 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(0 + -1*(2 + sqrt(162)) + -5 + -4)*3)**2.\nAnswer: 1026432*sqrt(2) + 1467072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-6 - -2) - (-2 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 0*q**2)*(66*q**2 - 53*q**2 + 74*q**2) + 3 - 3 - 2*q**4.\nAnswer: -89*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 - 149. Solve 2*z = -z - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 11 - 140 - 115)*(0*b**5 + 6*b**5 - 4*b**5).\nAnswer: -522*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*g + 55, 3*g - 20 - 7 = 5*d. Factor 34*r**2 - 1 + 2 - g*r + 15*r**2.\nAnswer: (7*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 56, 4, 3 in increasing order.\nAnswer: -5, 1, 3, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0 - 12. What is the common denominator of ((-4)\/a)\/((-13)\/((-22815)\/350)) and 43\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2673\/5346)\/((-2)\/(-152)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/20 - j**4 + j**3 + 11*j**2\/2 - 9*j. Let x be c(13). What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151296*j**3 + 4063015*j**2 wrt j?\nAnswer: -907776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**2*g*g)\/g*g\/(g\/g**(-9\/2))*g*(g*g**(2\/49))\/(g*(g*g**0)\/g))**(3\/22) assuming g is positive.\nAnswer: g**(159\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (1 + 2 - 2)*(-1 + 2 + 0) + 4 - 5 + 2)*(404*k**2 + 11434 - 11434).\nAnswer: 404*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121514.748 rounded to the nearest 100?\nAnswer: 2121500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 9) to base 15\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 114 = -102, 2*z - b - 602 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197856.5047 + 199299.57. Let l = -1443 + z. Round l to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let a be c(4). Suppose 3*j + 10 = a*j. Solve 5*t + 2*d = 4*t + 8, j*t - 5*d = -35 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/2218117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2 and (-13)\/3*42\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6))**5\/(((w**(4\/13)*w)\/w)\/w**(-1\/2)) assuming w is positive.\nAnswer: w**(-64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 != 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7)*(f**(2\/5)\/f)\/f)\/(f*f\/((f*f\/(f**(1\/4)\/f*f))\/f))**(-8\/11) assuming f is positive.\nAnswer: f**(402\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -95, -140, -185, -230?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 580 = -9*k. Let f be (2 - (-2 + 5)) + k\/4. Let x be f\/60 + 0 + 2\/(-5). Solve 3 = -a + x*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2460 and 2487265.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42000 divided by 400\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -7, -4, -3 in increasing order.\nAnswer: -7, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5\/9 - 320*b**4\/9 + 6068*b**3\/9 + 13448*b**2\/9 = 0?\nAnswer: -2, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-95) + (-3 - 24\/(-5)))\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) + 4*sqrt(2016))*-6)\/(-2*sqrt(7)*5 + sqrt(7) + sqrt(21)\/sqrt(3)*-5).\nAnswer: 180*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkmmkmmkwkwk. What is prob of sequence mmww?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.143*-106103.\nAnswer: 15172.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -102. Let c(z) = z**3 + 5*z**2 - 7*z + 18. Is c(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4*x - 19*i**4 - 36*i**3*x - 698*i**3 + 21995*i**2*x + 8*i*x - 10*i - 2*x wrt i.\nAnswer: 24*i*x - 456*i - 216*x - 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4493357.\nAnswer: 11, 31, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1181502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 36*z - 37*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -11 - (3 + -4). Let u = -26\/3 + a. Factor u*n**2 + 0 - 1\/3*n**5 + n**4 - n**3 + 0*n.\nAnswer: -n**2*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:18 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203)\/7 - (0 + -5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -3, -16, -31, -48?\n\"Answer: -z**2 - 8*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25740\/17 - -1514. What is the nearest to -0.1 in 2\/19, -5, h, -1\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 1. Let h be i(1). Which is smaller: 1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let n be i(-2). Let f be 12\/(-27)*255\/(-10). Let -2\/3*c**2 - 14\/3*c - 2\/3*c**4 - 20\/3*c**5 + f*c**n + 4\/3 = 0. What is c?\nAnswer: -1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 12. Let u be y(10). Let k be 1\/(u\/5) + (-15)\/30. Let x be -772*(k - (1 + 0)). What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 263. Calculate k(-70).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -32. Let s = o - -18. Suppose 5 = -0*b - 5*b. Sort 0, s, b in descending order.\nAnswer: s, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 28*r**3 - 4*r + 10. Let u be m(2). Find the common denominator of 71\/18 and 3*-1 - 6\/(-240)*u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51807586.\nAnswer: 2, 229, 113117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/68, 1, -829.\nAnswer: -829, -3\/68, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -0.13 in increasing order.\nAnswer: -0.13, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 - 952 = -33*h. Calculate the greatest common divisor of h and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.53, 4, -0.2 in descending order.\nAnswer: 4, -0.2, -3.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1070 divide 48663218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 3. Let o(j) = -14*j + 14. Let x(u) = 11*u - 9. Let d(p) = 5*o(p) + 7*x(p). Give 3*d(h) + 5*n(h).\nAnswer: h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/93 - 2*2\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34305 divided by -1\nAnswer: -34305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19714 * -83.\nAnswer: 16.36262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 2222553, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k + 3*p - 3, 4*p = -4. Suppose 5*s + k*m - 24 = 9*s, -4*m = 0. Let t(g) = 2*g**2 + 12*g - 4. Give t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**12*d*d)\/d)\/d)\/d**(-1\/36))\/((d\/d**18)\/(d**(-1\/53)\/d)) assuming d is positive.\nAnswer: d**(53441\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -8)*(-4 + 1). Suppose -l*g - 17 = -26. Suppose -3*t + 21 + g = 0. Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from zzzzzzczb?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129308 is divided by 25859.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173905 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -28\/3. What is the closest to i in 4, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-88)\/(-24)*2*(-9)\/99).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45192 or -45191?\nAnswer: -45191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29571*a**2*q**2 + 9*a**2*q - 10948*a*q + 14*a + 27*q**4 - 3*q**3 wrt q?\nAnswer: -59142*a**2 + 324*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from epgppgppeggg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 4*d + 4, -4*d - 4 = 0. Solve -o*j + 2 = -4, 4*g + 3*j = -10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - 0.14. Let x = h + -2.15. What is the second smallest value in 0.3, 11, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 4*j = -39 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 247641 - 123719 - 123922.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1613 or -1607?\nAnswer: -1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 1\/12*w**4 - 10*w + 3\/2*w**2 + 0 + 0*w**3. Let d be a(2). What is the greatest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 - a876?\nAnswer: -a83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Let m(h) = -h - 23. Let q be m(-15). What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 3840000 = 0. Suppose -6*l + 10*l - k = 0. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15890.0502 - 15890. What is a rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 7*g**2 + 0*g**5 + 0*g**7 + 0*g**6 + 0 - 1\/336*g**8 + 0*g - 1\/24*g**4 + 0*g**3. What is the second derivative of f(r) wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**3 - 2*q**2 + 2*q - 2. Suppose -291*i = -300*i - 18. Let d(f) = 7*f**3 - 3*f**2 + 3*f - 3. Determine i*d(u) + 3*o(u).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14349120, -14349122, -14349126, -14349132?\nAnswer: -14349140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*y - 696 = -77*y - 89*y + 60*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120698 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 324 + -315. Suppose -5*b - 12*f = -k*f + 171999997, 2*f = 4*b + 137600002. What is b rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1515 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 2*n**4 - 2*n**3 - 5*n**2 + 5*n**2 + 2*n to a*n**3 + u + o*n + x*n**4 + y*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 8*r**5 - 3*r**3 + (-1 - 2*r**3 + 1)*(-2 + 1 + 0)*(-10*r**2 - 51 + 51) + (-3*r + 2*r + 3*r)*(2*r**4 + r**2 - r**2) - 2*r**5 + 0*r**2 + 0*r**2.\nAnswer: -26*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(5)))**2 + (sqrt(45) + 1)**2.\nAnswer: -94*sqrt(5) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-72)*6*(-698)\/9772?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057759471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, -3, 3\/5, -0.31403, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 5*v - 106, -4*v - 58 = -n - 60 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-28)*z\/((z\/((z*(z\/((z**(1\/15)*z)\/z))\/z)\/z))\/z)*(z**(-12)\/z)**8 assuming z is positive.\nAnswer: z**(-1966\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/70 and -67\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3200) - (1 + sqrt(7200)))**2.\nAnswer: -40*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + k - 21 = -2*f, -2*f = -2*k - 62. Suppose -402 = f*o - 28*o. Is o*1\/(-1 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -52938 = 34*a - 37*a + 2*n, 88215 = 5*a - 5*n. What are the prime factors of a?\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -390 - -1105718?\nAnswer: 1105328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 1\/2 (c) 1440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -4 (b) 2 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -102 (b) 1 (c) -1\/6 (d) 4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*t + 5*v - 3*v, 2*v - 1 = 3*t. Let w(y) = y - 5. Let m be w(0). Sort t, m, 1 in descending order.\nAnswer: 1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/11 - 1583*i**3\/11 - 199506*i**2\/11 - 7804260*i\/11 - 96503400\/11 = 0.\nAnswer: -1449, -74, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*r + 1 - 41, 2*r - 11 = -x. Let b(h) = -50*h + 950. Let f be b(19). Suppose u - 109 + x = f. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - (-4 + -2)) + 0 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 19. Let r(u) = 2*u. Calculate 5*r(s) - z(s).\nAnswer: 4*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3466?\nAnswer: -3466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = 8. Is (a\/(-8))\/((-2)\/(-2936)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose p*a = 4*c - 30 - 2, -5*c + 10 = -a. Is (30\/a)\/(1\/(-74)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 35518*v + 16 + 21*v**3 - 35470*v + v**5 + 11*v**3 + 9*v**4 + 56*v**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 819307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9033336*u - 8. Let y be n(3). What is y rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937480630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = -4*i, -23 = -2*v - 73*i + 68*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50861 is divided by 201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 4 - (0 + 0) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*s + 16, -s = -5*s + 5*v - 20. Let b be (1 - s) + 4 + -2. Suppose u - b*u + 24 = 0. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(117)*1)**2 - ((sqrt(156) + (sqrt(156) - ((sqrt(156) - sqrt(156)*-1 - sqrt(156)) + sqrt(156))) + sqrt(156))*-4)\/(sqrt(588)*-1 - sqrt(588)).\nAnswer: -2*sqrt(13)\/7 + 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14315 + 27964. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -453510 + 29604*p**3 - 704*p**4 - 999219 + 8608*p - 2003271 + 10732*p**3 + 4*p**5 - 694080*p**2 - 3291808*p = 0. What is p?\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -5, -3\/5, 3, 0, 885 in descending order.\nAnswer: 885, 26, 3, 0, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Let l(b) = -3 + b**3 + 2 + 8*b + 1 - 6*b**2 - 12. What is the remainder when l(q) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71011 divided by 303\nAnswer: -71011\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4440 in 4.2, 0, 0.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9212 and 980.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2385, 97, 5 in ascending order.\nAnswer: 1, 5, 97, 2385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61861 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (32 + -23)) + (-1 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2001111220120 (base 3) to base 13\nAnswer: -2c3493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129375 and 9171.\nAnswer: 131833125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 1042511019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*m + 2*m + 13, z = m + 1. Suppose z*v - 3 = 3. Suppose w - 4*f = 132, -f - v*f + 92 = w. Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596\/14 + 15\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 16. Let k be 24 + o + 8\/2. Let i = -29 + 64. Solve 3*n - i = 5*s - 1, -3*n = -3*s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Suppose i = 4*k - 6*f + 4*f + 22, 1 = -k - f. Suppose -19*h - 104 - 10 = 0. Sort k, h, -5, 1 in descending order.\nAnswer: 1, k, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 304, 276, 248, 220, 192, 164?\n\"Answer: -28*i + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + 2*p + 3. Let w be n(3). Suppose f - 2*f - 2 = 3*t, w = t. Let b be -6 + 0 + (0 - -1). Sort b, 2, f in descending order.\nAnswer: 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27 - 0) + (-6 - (-12 + 7)). Suppose -2*j + 112 = f*j. Solve 0 = -9*n + 7*n + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k**3 - 3*k)*(-817 + 1695 - 7702).\nAnswer: 13648*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89b5 (base 14) in base 2?\nAnswer: 101110101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 4\/5 (c) -1 (d) 157 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -28, 2, -91799, -3 in increasing order.\nAnswer: -91799, -28, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(-1\/7)*a\/(a**8\/a)*a**(-17)\/(a*a**47) assuming a is positive.\nAnswer: a**(-482\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 1 = -3*f - 46 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/3 + 1099*d\/3 + 366 = 0.\nAnswer: -1098, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) 1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-30)*-4*23\/((-1150)\/(-20)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*69\/(-46))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 45360*x**3 - 514155546*x**2 + 5145139480*x - 10806793725 = 0. Calculate x.\nAnswer: -22685, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218533720 to the power of 1\/2, to the nearest integer?\nAnswer: 34908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -802 + 1045. What is the least common multiple of p and 216?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*v - 637. Is (-1 - (1 + v)) + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4250 by 50.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + -1 + (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273\/8 - 1123\/24. What is the third smallest value in k, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36719 + 36715. Which is the nearest to -1\/2? (a) 1\/4 (b) 6440 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 5*l**4\/12 - 7*l**3\/6 + 3*l**2 - 6*l - 1. Let d be i(1). Solve 2*r - 3 = -4*v + 3, 4*r = -d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(18\/8))\/(-2*1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 11. What is the units digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000994374276 rounded to 7 dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a. Let z(f) = -f**3 + 20*f**2 + f - 23. Let r be z(20). Let c be -5*14\/(-105)*r\/(-2). Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -2085064.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -0.2, -22\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 76435 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -1. Let y = 1492 + -1495. What is the second smallest value in h, 13, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - q. Suppose 0 = -43*j + 35*j + 32. What is the smallest common multiple of p(1) and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(17))**2 + 3 + 3 + -4.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-3)\/(-6) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -3\/2, -2\/11, 2 in decreasing order.\nAnswer: 58, 2, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-276)*-1*832\/(-184) and -71\/3.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5060, 5062, 5064, 5066, 5068?\n\"Answer: 2*o + 5058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/4 of a micrometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -282. Let k = 129.1 + c. What is the closest to 0.4 in 3, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i + 3*i**3 - 952 + 96*i.\nAnswer: 3*i**3 - 952","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.02 + 10.32. Let y = -9.3273 + c. Round y to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3430118 + j**2 - 20891*j + 15581*j + 10479143.\nAnswer: (j - 2655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 3 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106568 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.41, -3\/5, 27, -4, -1\/4 in increasing order.\nAnswer: -4, -3\/5, -1\/4, -1\/6, 0.41, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 + -47. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:49 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= -2022\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 29c?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.867203 centuries in millennia?\nAnswer: 0.3867203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 14. Let c(r) = -3*r - 2. Let w be c(3). Let j be y(w). Suppose 61 = 4*v - j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 23*v = 47*v - 1638 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53359\/5, 7.7, -3?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2779, -5562, -8345, -11128, -13911?\nAnswer: -16694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15279 and 2574?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174604165 is divided by 116?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -80. Suppose 2*p = 0, l - 2*p = j + 39. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566665 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/4184 - 9413\/4184. Let z(v) = 2*v - 1. Let a be z(-1). Is a at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.8 - 3.2. Let a = -31 - s. Let n = a + -12. Sort n, 2\/9, 0.2.\nAnswer: 0.2, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 9*h - 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + ((sqrt(1088) - (sqrt(1088) + sqrt(1088) + 0 + sqrt(1088) + sqrt(1088))) + -2 - (3 + 1 + sqrt(1088))))**2.\nAnswer: 1920*sqrt(17) + 87220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:51 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-73)\/2)\/(5\/(-10)) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 14*u**2 + u - 12. Let d be w(14). Suppose z + 4 = 3*z. Suppose -144*l**4 - 164*l**5 - 71*l**z + 71*l**d - 160*l**5 - 16*l**3 = 0. What is l?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*r - 70*r - 409*r + 53.\nAnswer: -577*r + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24390, -24440, -24482, -24510, -24518, -24500?\n\"Answer: s**3 - 2*s**2 - 51*s - 24338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(936) + sqrt(936)*1*1)\/((-6*-2*sqrt(14))\/sqrt(7)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 + 21*r - 24. Let v be j(12). What is the highest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -86*l - 838. What is the least common multiple of 252 and u(-13)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/i**(1\/8))\/((i**(-1\/4)\/i)\/i)**(-2\/41))\/((i**(-4\/9)*i\/i**(-1)*i)\/(i**(-1\/4))**(4\/5)) assuming i is positive.\nAnswer: i**(-132697\/14760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71977899*f**2*v + 110*f**2 + 307889*f wrt v?\nAnswer: 71977899*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 17}. Give prob of sequence ye.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128573476.999969 + 128573555. Let y = 57 + -135. Let j = y + t. Round j to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1147\/259 - (-8)\/14. Sort z, -7, -21 in descending order.\nAnswer: z, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 + 44*r**3 + 484*r**2 = 0?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.036 + 0.036. Which is the closest to 3? (a) v (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4337 - 28389 = 4*v, -3*v - 24056 = -4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (0 - -1)*7. Suppose 4 = -2*x + 4*x - j*d, -4*x = 4*d - 8. Suppose 5*t + 4*i = t + 28, 0 = -3*i + 3. Solve 3*q + 0 = x*r + t, 4*r + 12 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 19, 38, 75, 136?\n\"Answer: n**3 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxx when three letters picked without replacement from {x: 5, r: 4, t: 2}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 19*v = 121 + 183 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 3\/(-1 - 90\/(-85)). Let n = 30 + -18. Calculate the highest common divisor of n and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(7)*-6.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/35)\/((-1)\/(-10)). Suppose -5*f + 84 = -f + z*i, 2*f - 27 = 3*i. Let o be (8 - 2)*6\/f. What is the highest common factor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815823 is divided by 2594?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajqjjjajdqijijqj. What is prob of sequence ij?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158*o**2 + 566 - 878*o**2 - 40*o**2 with respect to o.\nAnswer: -1520*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(-k - 2*k + 5*k) + (-13 - 25 - 13)*(k - 3*k - 2*k))*(31 - 31 + 80*k).\nAnswer: 16640*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342 + -233. Suppose 114*t = m*t + 8115. What are the prime factors of t?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5 + 27*c**4 - 90*c**3 + 138*c**2 - 99*c + 27 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.876 + 2.176. Put t, 294, -2\/7, 0.1 in descending order.\nAnswer: 294, t, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*-4)**2*-3.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(80990\/637)\/(-89).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111110011110 (base 2) in base 11?\nAnswer: -9182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*2*-1 - sqrt(45))\/(-2*sqrt(1296)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9 - (-9 - (-63 + 56))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 249, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*n - 3*s + 66, -5*s + 60 = 5*n. Let z = -1 + n. Let d be 1*44 + (-14)\/(-35)*-5. Calculate the highest common factor of d and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:07 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*f + 30 - 42 = 0, 0 = 3*g + f + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:24 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1511112 and 8058?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b - b**3 + (-b**2 + 0*b**2 - b**2 + (-4*b + 0*b + 2*b)*(1 + b - 1) + 4*b - b**2 - 4*b)*(-4 + 2 + 0)*(-2*b - 2*b + 0*b).\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52135223 - 5?\nAnswer: 52135214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l + 2. Suppose -v = 3*v - 32. Let z(m) = -m + 6. Let u be z(v). What is the tens digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*g - 92*g - 486 = -220*g - 198*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7002832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 6 (c) 17 (d) 2\/5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0, 10\/11, -0.1, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 0, 10\/11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 6*j + 10. Let p(y) be the third derivative of 1\/6*y**4 - 23*y**2 + 1\/20*y**5 + 0*y + 7\/6*y**3 + 0. Determine -7*p(z) + 5*u(z).\nAnswer: -z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.138 + 0.562. Let y = 42 - b. Let o = 1.69816 + y. Round o to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 9) in base 3?\nAnswer: -12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*b - 8731 = 9837 + 5339 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1101001110100101 (base 2) to base 10\nAnswer: 54181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttll. What is prob of sequence lltt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 4*q**4\/3 + 82*q. Let t(d) = d**2. Calculate i(t(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 36 = 0. Let o = 91 - 56. What is the remainder when u is divided by o\/(-28)*-2*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/13 + 1866*g**4\/13 + 45550*g**3\/13 + 133950*g**2\/13 - 2043000*g\/13 = 0. Calculate g.\nAnswer: -908, -15, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*b - 15 - 33, 4*b = o + 9. Suppose 10*h - 12 = o*h. Solve 3*z - 16 = 5*c, -5*z + h = 4*c - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143320101 (base 5) in base 15?\nAnswer: 1005a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + z + 6*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -1, -4, -9?\n\"Answer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 828, 205, -406, -999, -1568, -2107, -2610?\n\"Answer: u**3 - 630*u + 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026 - -797606672759.\nAnswer: 797606672758.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.1. Let h = 7 + -12. What is the biggest value in -1\/3, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1032 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/680 + (162\/(-408))\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*c - 35, -45 = -3*o + c - 6*c. Let l(q) = -2*q - 6. Let z be l(-4). Calculate the remainder when o is divided by ((-9)\/(-6) - 0)*z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2881 is divided by 287.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28.854? (a) -2\/9 (b) 1\/4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -2 - (-105)\/(-63)*-3. Let d(h) = h**2 - h - 2. Let t be d(2). Which is the nearest to 31? (a) 5 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 + 4*h + 24. Give c(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 82669?\nAnswer: 16533.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-22)\/18 + 1). What are the prime factors of j\/((1 - 2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -11*o + 45. Let b(s) = 2*s**3 + 14*s**2 - 19*s - 8. Let y be b(o). Let i = 1 + 1. Calculate the highest common factor of i and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c + 3. Let i be t(6). Suppose 26 + 9 = 20*k - 45. Solve i*w - k = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117845 take away 12134874?\nAnswer: -12017029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5932852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Let h(p) = 4*p - 9. Let a = 2 - -3. Let k be h(a). Let g(z) = -16*z - 1. Give k*c(m) + 2*g(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1, -5 = -4*o + 3*b + 6. What is the third derivative of -2*w**3 + 7*w**2 - 11*w**o + 6*w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let l be x + 395 - 3*-1. Suppose 4*h - l = 8*h. Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 3 (c) 3\/5 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -75\/2*q**2 + 5 + 5\/2*q - 20*q**3 + 50*q**4 = 0?\nAnswer: -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -5 - sqrt(13) - sqrt(1872)*-1)*5.\nAnswer: -25 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(1\/((-155)\/(-248)*16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5836495, -11672989, -17509485, -23345983, -29182483?\n\"Answer: -v**2 - 5836491*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 - 7*u**4 - 22*u**4 + (2*u**2 + 4 - 4)*(-u**2 - 2*u**2 - 3*u**2) in the form q*u**2 + g + d*u**3 + a*u**4 + l*u and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7827? (a) 2 (b) 21 (c) -0.2 (d) -63 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 741, 2343, 5521, 10809?\nAnswer: 18741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 625208 and 6944?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 12. Let u(q) = -13*q - 22. Let b(j) = 5*p(j) + 3*u(j). Determine b(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 22*d**3 + 1 + 40*d**3 - 1 - d as j + r*d + m*d**3 + l*d**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b**(-15)*b)\/b*b)**34 assuming b is positive.\nAnswer: b**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35120*c**5 + 28436*c wrt c.\nAnswer: 702400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.1548 millimeters in kilometers?\nAnswer: 0.0003901548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*20*(-3796)\/365.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58696*k**6 + 20*k**4 + k**3 - 2*k**2 + 28072708 wrt k.\nAnswer: -7043520*k**3 + 480*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3)))\/i**3*(i*i\/(i*(i**(-11)\/i)\/i)*i*i)\/i*i**(-1\/2))**16 assuming i is positive.\nAnswer: i**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a factor of 101657220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2384 - 880. Let x = c - -43. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941969 is divided by 218?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -10*a - 255*w + 259*w, 5*a - 33*w + 14 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(405) + 1*sqrt(405))*2 - sqrt(405)))**2 + (-6*(sqrt(5) + (2 + sqrt(5) + 1 - sqrt(5)) + -1 + sqrt(20) + sqrt(5)))**2.\nAnswer: 576*sqrt(5) + 35829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102222 - -20?\nAnswer: -101102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 4. Let u be m(0). Let j = u + 2. Suppose 2*r - j*r = -12. Sort -5, -2, r in ascending order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -27. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1323374974 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11312?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 7*x - 9*x + 5, 3*x = 5*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 5*d + 1. Let i be s(5). Let a(y) = 15*y + 1. Let o be a(i). Solve 0 = -5*p + 2*p + 4*m + 4, -o = 4*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omogommgommmgoommmo. What is prob of sequence mgg?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.144 and 12061?\nAnswer: -1736.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10918 is divided by 1400.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/(2\/(-1) - -1). Let h be o\/9 - (-8)\/36. Suppose 0 = -h*q + 382 + 134. Is q a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 49.3. Which is the biggest value? (a) m (b) 3\/8 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7185824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -223228.\nAnswer: 111614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - 3*s = 20, -2*f + 10 = 3*s. Suppose 0 = f*i - i + 72. Let a be 4\/6 - ((-147)\/i + -7). What is the nearest to 1 in 5, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/3 (b) -16 (c) -585 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k - 2. Let j(t) = t**2 + 6*t + 5. Let c be j(-6). What are the prime factors of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from jjjjjjvjvcjjcwhj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24872292 and -77\/114080.\nAnswer: 994891680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 16*u - 302. Calculate v(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 98*h**4\/19 - 8232*h**3\/19 + 23806*h**2\/19 + 672*h\/19 - 1944\/19 = 0.\nAnswer: -2\/7, 2\/7, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(117\/1365)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10066)\/48 + (-13)\/(-39). Let y = s - -209. Calculate the common denominator of y and 26\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 807214.275 seconds?\nAnswer: 1.3346796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than 758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43377 - 32011. List the prime factors of r.\nAnswer: 2, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15482 - -15482.27074. Let c = y + -0.27. Round c to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 - 3*r + 3. What is j(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25623\/195237 - (-1)\/(-7). Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 - 0.91. Let p = x - -1. Suppose q = 8 - 3. Which is the smallest value? (a) q (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i*j**3 - i*j**2 - 75053*i*j + 8*i + j**3 + 36*j**2 wrt j.\nAnswer: -24*i*j - 2*i + 6*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14233*b*w + 6152*b - 2 wrt w.\nAnswer: -14233*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/34*((-1176)\/1568)\/((-18)\/(-368))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 334*j**2\/11 - 1950*j\/11 - 2898\/11.\nAnswer: -2*(j + 3)**2*(j + 161)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -644704 + -4?\nAnswer: -644708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335328 divided by -335328.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = o - 43, -9*s = -7*s + 4*o - 22. Is s > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12706216*b**2*m**3 - b**2*m**2 - 17*b**2*m + b**2 - 27518*m**2 wrt m.\nAnswer: -76237296*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 16*h**2 - 5*h**4 - 6*h**2 + 3*h**3 - 3*h**3 - 2*h**4 + (0*h + 2*h - h)*(-4*h**3 + h**3 + 2*h**3) - 2*h**4 - 5*h**3 + 5*h**3.\nAnswer: -10*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 - 44*i**3\/5 + 483*i**2\/5 + 44*i\/5 - 484\/5.\nAnswer: (i - 22)**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 426272770 and 0.2.\nAnswer: 85254554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*r, -5*r - 2*p = -5*p - 1. Suppose r + 1 = l. Let u be 2\/(4\/(-12) - -1). What is the highest common factor of u and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**5 - 2015*u**4 + 34810*u**3 + 151910*u**2 + 72695*u - 42375 = 0. Calculate u.\nAnswer: -3, -1, 1\/3, 25, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2476, -4579, -6680, -8779?\n\"Answer: k**2 - 2106*k - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -53\/2. What is the closest to 0.1 in t, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 253 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -422 * -1.6\nAnswer: 675.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*y + 6*y - 35, 28 = 2*q + 5*y. Let f = -18 + q. Is -31\/3 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 368*a**3 - 16174*a**2 + 69560*a - 53016.\nAnswer: -2*(a - 3)*(a - 1)*(a + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4017067, 8034133, 12051201, 16068271?\nAnswer: 20085343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 - 105. Suppose 8*j = q + 304. Let f = -37 + j. Solve w = 2*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1826 - 1826. What is the closest to -141 in v, 3\/2, 4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2446 + 1461. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47758921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 11*c**2 + 14*c - 123. What is w(5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfw when three letters picked without replacement from {x: 3, w: 5, s: 2, f: 6, v: 2}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205152 is divided by 22450.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/990 and 89\/722810.\nAnswer: 6505290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1046 in decreasing order.\nAnswer: -3, -5, -1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 77 = -5*n, 6*t = 4*n + 3*t - 57. Suppose -4*z - 47 = -n. Which is smaller: z or -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 16*o**2 - 16*o + 1. Let y(n) = 43*n**2 - 47*n + 2. Calculate 8*j(t) - 3*y(t).\nAnswer: -t**2 + 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Calculate the highest common factor of 73 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ense when four letters picked without replacement from etymenst.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 286961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in hours?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 + 8*h + 11. Let v be a(9). Solve -z = -4*g - 19, -z = -6*z + v*g + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 3*t**2 + 5*t - 12. Let l(m) = -m**3 - 2*m**2 - 3*m + 6. Let o(d) = 2*i(d) + 5*l(d). Let f = -142 + 147. Determine o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 222 - -68313?\nAnswer: 68535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. What is the second derivative of r**m + r + r + 0*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 12 + (90 - 90 - (-1 - -24)) + 64\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyppyyyqkpkcp. What is prob of sequence yc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (0 - (-2 + 2)). Suppose 0 = -3*d + d + 8, -y*d - 83 = 3*g. Does 9 divide (-2)\/2*(g - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/3 - a**2 + a + 5. Let i be r(-4). Let c = i + 19. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 679005 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -35637332.\nAnswer: -178186660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -16)*(-11)\/(-33). Let j(z) = 2*z**2 + 2*z - 1. Let r be j(-2). Suppose 25 = r*k - g*a, 4*k - 9 - 9 = -a. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**6)\/(q\/(q**(-3\/5)*q)))**(-4\/5)*q**(1\/10)\/q**(4\/5)*(q**(-1\/3)\/q)**(1\/37) assuming q is positive.\nAnswer: q**(16339\/5550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267716 and 1578229.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/v**(-2\/5))\/v)\/(v*v*v\/(v*v**(13\/4))))**37 assuming v is positive.\nAnswer: v**(2701\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15521 - -41?\nAnswer: 15562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3176 divide 127478288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 8 = 3*t - 37*w - 14 + 12, 0 = 3*t + 2*w + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79bb + 0?\nAnswer: -79bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -935, -2079, -3671, -5705?\nAnswer: -8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/70730 and 23\/226979?\nAnswer: 24967690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14946072601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/2 + 182*z**3\/3 - 1439*z**2\/3 + 3002*z\/3 - 565\/2 = 0. Calculate z.\nAnswer: 1\/3, 3, 5, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17551 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9064.826 litres in millilitres?\nAnswer: 9064826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s = -t - 147, 317*s = 314*s - 2*t - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7518752 is divided by 16345?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 134\/10 - 10\/25. Suppose 5*s + 3*v = 9*s - h, -4*s - 2*v - 2 = 0. Factor 4\/3*p - s - 1\/3*p**2.\nAnswer: -(p - 3)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761021 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18801749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - t**2 - 3*t + 3. Let v be h(2). Suppose -9 = 3*w - v. Solve 2*u + 10 - 14*u**2 - w + 2*u + 8*u**3 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3019*u + 2*r = 3018*u + 9, -20 = -5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 43*i. Let r(g) = 151*g. Let n(u) = 7*o(u) - 2*r(u). Suppose -m - 3 = -1. Let p be 5 - (-1)\/m*2. Determine n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 596 - 3332*k + 295*k + 638 - 37*k wrt k?\nAnswer: -3074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14967 = -128*x - 39*x + 51540. Solve 0 = 14*d - x + 261 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 - 0.03. Let a = s + 0.1. Let t = -0.4007 + a. What is t rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 - s + 17. Let v be i(6). Suppose 4*y + 2 = -5*q, 7 = -0*q + 5*q + y. Solve m - v = q*m - 2*c, -m + 4*c - 17 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*h + h = 40, 4*h = -20. Let v(o) = -4*o**2 - 15*o + 8. What is the remainder when v(-4) is divided by 1\/(2\/a - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -32635.\nAnswer: -59\/32635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 + 3*y**2 - y**2)*(-25767*y**2 - 59 + 25142*y**2 + 63 - 3*y) to g*y**3 + r + p*y**2 + w*y**4 + x*y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 5, l: 7}. What is prob of sequence bl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-5 + 4)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5412 and 924?\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20\/1*(-20 - (19 - 7416\/180))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161743.3 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/6 + (-12)\/8. Suppose o = 2*o - h - 148, -434 = -3*o + g*h. Suppose -o = -i - 2*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*k + 5*k. Solve k = 50*q - 57*q - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1. Let u(z) = 8*z - 3. Let y(a) = -6*n(a) + u(a). Let l be ((-7)\/3)\/((-18)\/(-54)). Let q(i) = 9*i - 10. Give l*y(o) + 6*q(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 565 divided by -1\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-21 - (9 + -21)) + 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 48*r - 4. Let o be g(0). Let h(v) = -v**3 - 4*v**2 + 5*v + 10. What is h(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/47)\/(4754 + -6). Let y = -499897330\/167367 - k. Let w = y + 2963. What is the common denominator of w and 19\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182313, 182340, 182367, 182394?\nAnswer: 182421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4286, 8605, 12924, 17243, 21562, 25881?\n\"Answer: 4319*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.89 - 0.31. Let n = -26.2 - -23. Let z = x - n. Are z and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-3*(sqrt(4) + sqrt(64))).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -5. List the prime factors of s\/10 + 216\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826032 a multiple of 761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - a + 5*a - 105 = 0, -4*t + 4*a = 360. Let i = 85 + t. Solve -2*g = 2*h + 4, -3*g - 6 = -i*g - h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 298 or -951?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2851*i**2 + 122*i + 816. Is m(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2. Let x(d) = -595*d. Give v(x(k)).\nAnswer: 3186225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2 - 31*k**4 - 4*k**3 + 269 + 31*k**2 - 21*k**2 wrt k.\nAnswer: -744*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 751502 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -2\/7*k**3 + 0 - 1\/42*k**4 - 9\/7*k**2 - k. What is q in v(q) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 30614628.\nAnswer: 214302396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 - ((-1136)\/48 + (-4)\/48). What is the nearest to y in -5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103400 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 220118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = 6. Let j(n) = 2*n**2 - 4*n + 1. Calculate the remainder when j(4) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 22 = 3*j + j, -c + 10 = 2*j. Let f(v) = v - 1. Let b be f(j). Find the first derivative of n + b + 1 + 2*n - n wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 464 + 522 - 1105 - 106*p**3 + 395*p**3. Let i(w) = 12*w**3 - 5. What is 5*b(z) - 119*i(z)?\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d + 329*d = -248*d + 8635 + 8175 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7*k - 2*k - 6*k)*(-1 - 1 + 0) + (0 + 0 - k)*(4 + 0 - 2) - 2*k + 3*k - 3*k)*(2 + 1 - 2)*(-5 + 4 + 0)*(-32 + 0 - 1) to c + o*k and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/(-8)*-2*6. Suppose 2*h - 2*y = 44, 4*h + 10 - c = -4*y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 180?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/24 + a**3\/3 - 11*a**2. What is b in g(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 - -410. Suppose 3*h - 7*h = -60. What is the highest common divisor of m and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38803 = h + 5*k - 24087, 3*k - 62878 = -h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4808*m - 1 - 1 - 9612*m + 4778*m + 1.\nAnswer: -26*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -4, -2\/5, 35\/8 in descending order.\nAnswer: 35\/8, -2\/19, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 7*h**5\/10 + 20*h**3 + 90*h**2. Find the first derivative of f(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -274. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.505 - -422.505. Let f = 421.789 - y. Round f to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677 + 1401 - 724 + 191*h**2.\nAnswer: 191*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/8)*v)\/v)\/(v\/((v**(-4\/11)*v)\/v))*(v*v**(4\/3)\/v*v)\/v**(8\/9) assuming v is positive.\nAnswer: v**(559\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2013 + 263?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(3 - 1 - 3) - 2 - 4 + 4)*(-6*z + 6*z - 4*z**2).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 453122 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let q(k) = 98*k**2. Determine t(q(u)).\nAnswer: 294*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**2 + 71*g. Calculate s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (2 + -8 - (8 + -18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:04 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-8)\/(-12)*2823. Let u = d - -33893\/18. Calculate the common denominator of u and -61\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058381 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*a = -2580, 4*a + 908 = 2*s - 108. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1677 = -10*t + 7*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 513, 533, 553, 573, 593, 613?\n\"Answer: 20*u + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(960) + sqrt(960) - sqrt(960) - sqrt(960)))\/(((sqrt(324) + sqrt(36))*-2)\/sqrt(12))*-1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 5*c**2 + 67*c - 66. Determine j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -954, -955, -956?\n\"Answer: -o - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/120 + k**5\/12 + k**4\/6 + 17*k**3\/6 - 2*k**2 - 1455*k. What is c(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let v(r) = -r**2 - 2*r. Let o(t) = -2*d(t) - 3*v(t). Factor o(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477401.103 rounded to the nearest ten?\nAnswer: -477400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-796)\/(-4776))\/((-1)\/(-414))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 3*l**4\/2 - l**3\/3 - 2*l**2 + 8. Is a(5) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*w - 28, 5*w + 28 = -4*p + 65. Solve -y - y - 4*a - 4 = 0, -8 = -p*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = 2*y - 40, 0 = 4*y - 20. Let w be (-51)\/(-2) - u\/4. Let k = 41 - w. What is the smallest common multiple of 3 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.347 + 674.347. Let f = 673.000537 - z. Round f to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - 2*f**4 - 1 - 3*f**4 - f**3 + 3*f**3 + 2*f**2 to the form k*f**4 + p*f + c*f**2 + l*f**3 + s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15*d + 1012 = 0. What is the lowest common multiple of 48 and d?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1044, -43, 2.\nAnswer: -43, 2, 1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 810948.3 days in microseconds?\nAnswer: 70065933120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/(-2)*4\/6. What is the derivative of 7 + 8 - 8 + a - 7*v wrt v?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 7) in base 16?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.34208*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, w: 7, d: 2}. Give prob of picking 3 w and 1 f.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/8))\/b**(1\/4)*b**(6\/11)\/b**(-1\/4)*(b**(-1)\/(b\/b**(-1\/7)))\/(b**1*b**(-4\/5)) assuming b is positive.\nAnswer: b**(-2071\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeer. What is prob of sequence ere?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times 25114.1?\nAnswer: 123059.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1 + 1 - 1). Let p(o) = 2*o**2 - 9*o + 5. Let s(t) = t - 1. Let i(f) = p(f) + 3*s(f). What is the remainder when 42 is divided by i(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 157*m - 1255. Calculate w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 76940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpv when three letters picked without replacement from {z: 1, o: 2, d: 1, h: 1, v: 2, p: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443875 divided by 2?\nAnswer: -2443875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-12.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 173853883.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/2 + 110111*r**4\/2 - 550571*r**3\/2 + 991037*r**2\/2 - 385405*r + 110116 = 0?\nAnswer: -110116, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12543 - 0?\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + 3. Suppose -z + 0*z + p = 0. Suppose 3*j = -2*i - 4, 4*j + 12 = -5*i + 2. Solve -z*t + 6 = -j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16311714 and -0.1.\nAnswer: 1631171.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f**1*f*f**(1\/2)*f*f*f**(-1\/4) assuming f is positive.\nAnswer: f**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(252) + -3 + sqrt(252))*3 + sqrt(252) + (1 + sqrt(252) - sqrt(252)) + -5 + sqrt(252))**2 + (-3*2*(sqrt(252) + -1))**2*-3).\nAnswer: -66162 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 348*l + 129. Is h(3) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9))\/c)**(-2\/31)*c**11*c*c**21 assuming c is positive.\nAnswer: c**(1041\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -234.37 * -0.0467\nAnswer: 10.945079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a3 + -63?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggvg when four letters picked without replacement from {e: 3, g: 6, v: 8}.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50684.94 months in centuries?\nAnswer: 42.23745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4588, 3157, 772, -2573, -6884, -12167, -18428, -25673?\nAnswer: -33908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158.4 - -23.4. Let g = -145 - x. Let c = g + 9.9999994. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*n**5 + 1 + (n**3 - n**3 + n**5)*(-4 + 5 - 3) - n + 0*n**5 + 3*n**5 - 5*n**5.\nAnswer: -n**5 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*p**3*y + 29*p**3 - 2*p*y + 943*p wrt p.\nAnswer: 144*p*y + 174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-672)\/120*90\/(-216).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121221 (base 4) to base 11.\nAnswer: -a513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*s, -7 = q + 5*s + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.276884 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 28. Let z be 8\/(-28) + (-50)\/o. Let q = -2 - -1. Which is the smallest value? (a) q (b) 2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 9*m + 63 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 3*n + 41. Calculate r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 31 = -3*q, 4*q - 39*j + 36*j = -80 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/24 and 19\/6912?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 5*t - 4*t + 4*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/28)\/((-4)\/(-14)). Let l be 6\/14*(1 + j). Solve -5*m + 2 = -l*g, 5*g - 3*m + 6 = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 8*z - 5*z**2 + 6 + 7*z**2 to f*z + k + j*z**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -935.6 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-36)\/(q**(-9)\/(q*q*q\/q**(-1)))*((q\/(q\/q**(-2\/3))*q)\/(q\/(q**(-2\/15)\/q)))\/((((q**(-1\/6)*q)\/q)\/q)\/(q**(-6)\/q*q)) assuming q is positive.\nAnswer: q**(-1969\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/(a\/(a\/(a*a**(1\/5)))))**(-3\/25) assuming a is positive.\nAnswer: a**(81\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4781 + -984. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/4 + 177595*m**4\/2 - 355191*m**3\/4.\nAnswer: m**3*(m - 1)*(m + 355191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 4aa2?\nAnswer: -4a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-120) + (-513744)\/(-10080)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 7*u**2 - 5*u - 7. Let y be g(-5). Let o = -28 - y. Let f(a) = 71*a + 9. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose 0 = -4*t - 0*t - l. What is the remainder when 26*1 + (1 - t) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35478094811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13994, 111537, 376168, 891431, 1740870, 3008029?\nAnswer: 4776452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(576)*-1) + (sqrt(75)\/sqrt(3))\/sqrt(5)*3)*-1.\nAnswer: -23*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 626 = -1557. Let m = 168 + w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -2978.9025?\nAnswer: -625.569525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5231 (base 8) to base 4\nAnswer: 222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11004.48 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*a**4 + 1114*a**3\/7 + a**2\/7 = 0.\nAnswer: -1, -1\/1113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.077 and 5702678.\nAnswer: 439106.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 5 + 81*b - 7*b**3 - 83*b - 4*b**2 + b**2 to the form q*b + m*b**3 + f + y*b**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 16) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 97.04047 nanograms?\nAnswer: 0.00009704047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 14. Let u = z - 11. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 2\/4. Let q(n) = -n**2 + 11*n + 17. Let b be q(12). Suppose -5*v + 0*v + 25 = -b*j, -5*v = -j - 13. Solve 4*h - i + 14 = -g, v*g = h - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77184 and 393960.\nAnswer: 18910080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:36 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -10\nAnswer: -111\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65190347*n - 71835589 wrt n?\nAnswer: -65190347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 29*d**2 - 4*d**2 - 6*d**2 - 9*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.07. Let j = -10 + 9.9. Let u = 1560.3 - 1560. Which is the closest to w? (a) 0 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -31 - 44. Let b be 8 + (-175592)\/20 - (-4)\/(-10). Is (-9)\/q - (-2 + b\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 21*i**4\/5 - 6*i**3\/5.\nAnswer: -3*i**3*(i + 1)*(5*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahh when three letters picked without replacement from {h: 5, k: 2, o: 3, a: 6, n: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72)\/(2*sqrt(96))*-3)**2.\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -520, -1190, -2138, -3370, -4892, -6710, -8830?\nAnswer: -11258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.43 and 2.65?\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8.7. Let o = -5.13 + 1.93. Let s = r - o. Is -41 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229572 and 9324?\nAnswer: 8494164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10 + 5 + 81 + m. What are the prime factors of d(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 3*t)*(4*t - 3*t + 4*t)*(2176 - 2176 - 728*t**2) to the form f*t + l*t**4 + v*t**3 + k + z*t**2 and give l.\nAnswer: -3640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**5\/20 - 2*y**4\/3 + 7*y**3\/6 + 5*y**2\/2 - 311*y - 3. Give t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = 0, -3*t - t = 5*v - 591. Let f be 10\/3*621\/v. Solve 5*l - f = -5*a + 2*l, -3*a + 7 = -2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.7. Let l = -3.3 + -2.7. Let s = l + 2. Put 6, n, s in ascending order.\nAnswer: s, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2. Let i(j) = 36*j - 9. Suppose 11 = 4*r + 5*x, 4*x + 4 = -2*r + 8. Let y(a) = -17*a + 4. Let c(m) = r*i(m) + 9*y(m). What is s(c(n))?\nAnswer: 486*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -1\/8*r**4 + 0*r + 0 + 25*r**2 + 0*r**3. Let n(i) = 16*i. Calculate n(v(h)).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -8 - 13 - (0 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 3*f + 15. Let z be k(-6). Let n(r) be the second derivative of 5*r**4\/4 - 7*r**3\/6 - 25*r**2\/2 - 3*r. What are the prime factors of n(z)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6 + 1722*a**2 - 1024*a**2 + 1148*a**2 + 35*a**5 - 8*a**6 - 2*a**6 wrt a?\nAnswer: -1440*a**3 + 2100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 10*y - 8 + 590*y**2 + y**3 - 1174*y**2 + 586*y**2 as j*y**4 + b + g*y**2 + h*y + s*y**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104640 = -4757*a + 4709*a. Calculate the lowest common multiple of a and 11.\nAnswer: 23980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/8 + 48321*a**2\/8 + 96645*a\/8 + 48323\/8 = 0.\nAnswer: -1, 48323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0 + (-6 + 0 - 9)*(8 + 2 + 9))*(5 + g**2 - 5).\nAnswer: -289*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 34307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*z - 16 = 0, -z + 3*z + 6 = -2*s. Let m = -0.021 - -0.221. What is the nearest to 0 in m, 0.01, s?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 25*o + 4. Let a be q(-25). Suppose -4*w + 4*l + 3164 = 0, 24*w - 1558 = 22*w - a*l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208127098 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(595\/(-14)) - 12\/(-45). What is the third smallest value in c, 2, -0.047?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15425612 (base 7) in base 4?\nAnswer: 11222300030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153)*1 - sqrt(153) - sqrt(153))*5)\/(sqrt(9) + sqrt(144)*3 + (sqrt(9) - (-2*sqrt(27))\/sqrt(3))))**2.\nAnswer: 425\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 31*z**2 - 4*z + 120. What is c(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*t + 3 = 23, 24 = -5*r + t. Which is the fourth biggest value? (a) -0.5 (b) 1 (c) -2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124505 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18 - 1\/4*i**2 - 1\/4*i.\nAnswer: -(i - 8)*(i + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by -178.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n)**(1\/3))**43 assuming n is positive.\nAnswer: n**(-473\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -48808160 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2*f**2 + 2*f**2 - f**5 - 1 + 1 + (-2*f**2 + f**3 + 2*f**2)*(7*f**2 + f**2 + 4*f**2) + (0*f + f**2 + 0*f)*(4 + f**3 - 4).\nAnswer: 13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40889 - 112151. Let s = o - -225040. Suppose 5*n = 3*m + s, 0 = n - 5*n. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21. Let v be 6*((-1)\/(-2) - r) + -3. Suppose 15 = 5*n + g, -4*n + 4*g - 20 = -56. Solve q - 2 = v, y = -3*y + n*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1516414 and 21412.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -12)*((-15)\/(-9) - 3). What is the closest to 7 in 2\/5, i, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 12) to base 2.\nAnswer: -11011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q - 1675. Calculate f(93).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 1 - 10*w**2 + 19*w**2 - 5*w**2)*(4*w**2 + 2*w**2 - 5*w**2) as s*w**2 + a*w**3 + o + q*w + b*w**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 0.1, -107525, 2 in decreasing order.\nAnswer: 2, 0.1, -0.5, -3, -107525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from xjmnxnxjjxm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9515660299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*r + 10, 0 = -r + 6*r + 5*x - 25. Suppose 5*p = -r + 40. Suppose p + 53 = 3*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -984879*p*z**3 - 4894*p*z + 2*p + 16*z**3 + 5*z + 7 wrt z?\nAnswer: -5909274*p*z + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 537.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31*d - 410. Give y(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from bohqgqgph.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 18*h + 18*h - 13*h**3 + 12*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r - 2*l + 64, r = 5*l + 65 - 54 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/5, 3, 4, 5\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183 and 726.\nAnswer: 44286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f - 516 + 4404. Calculate the remainder when f is divided by 130.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-4)*77\/7. Suppose g*n - 20 = 21*n. Calculate the smallest common multiple of n and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 187 = -17. Is 17\/(q\/(-20))*593\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249433786747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-121))\/((-4624)\/1496)*1.\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.86 - 17. Let w = -2.86 + u. Let z = 0.7 + -0.3. What is the second biggest value in w, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 1\/2*n**3 - 2*n**2 + 1\/60*n**5 + 0*n - 1\/3*n**4 + 5. Let q(c) = -5*c**3 - c. Let r be q(-1). Give k(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.37 - -0.07. Let u = -1 + r. Let j = u + 1. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13533*s + 9243043. Determine r(-683).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + ((4*2*sqrt(5040))\/(-3*sqrt(252)*4))**2).\nAnswer: -490\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 + 23 = 0. Let l = -25 - j. Suppose l*g - 113 = 2. Solve 5*k - 2*s + 0 = g, -3*k - 3*s = -18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 35640*t\/7 - 783112\/7.\nAnswer: -2*(t - 17798)*(t - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:20 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/18895 + 1379321\/264530. Find the common denominator of 71\/104 and z.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 63. Which is smaller: j or -27?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347879 is divided by 19300?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5805901462390 plus 2.6?\nAnswer: 5805901462392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2515? (a) -6 (b) 0.2 (c) -175 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1421 + 1458. Let c be g\/14 - (-3)\/(-21). Suppose -3\/4 + 13\/4*v - c*v**2 + 13\/4*v**4 - 5\/2*v**3 - 3\/4*v**5 = 0. What is v?\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:14 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:15 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249765899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*(-254556)\/16499\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -43*q**2 + 7*q + 45. Let j(v) = 22*v**2 - 4*v - 25. Give -4*f(h) - 7*j(h).\nAnswer: 18*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 613746 less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7617.577 micrometers to centimeters.\nAnswer: 0.7617577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqqaaaaq. Give prob of sequence aaqq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26426 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/8232 and -10\/291501?\nAnswer: 16324056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 8*k**2 + 2*k + 12. Let o be d(-8). Suppose 4*j + 2*c = 66, 50 = 7*j - 2*j - 4*c. Let x = j + o. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-2)\/sqrt(12) + ((sqrt(70)\/sqrt(5) - sqrt(14)) + sqrt(14))*1)\/(sqrt(72)*2*-6)*1.\nAnswer: sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112719238 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*p + 6539 = 0, 11*p + 16359 = 5*j + 7*p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/1260 - 7*l**5\/60 + 4*l**2. Let g(x) be the third derivative of a(x). Let s(o) = 3*o. Calculate g(s(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0)\/(-3) - 70\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126529*1190.\nAnswer: -150569510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/216 and 64\/351?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*r + 4 = 0, a = -3*a - 3*r - 3. Let l(s) = -s**2 + 14. What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777779, -1555633, -2333487?\nAnswer: -3111341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 2*y + 5*y. Let h(t) = -8*t**2. Give h(m(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 388687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518595 divided by 55.\nAnswer: -9429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 87682054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 2:34 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -36*t - 120*t**2 - 36*t**4 + 12 - 4*t**5 - 328\/3*t**3. Solve h(z) = 0.\nAnswer: -3, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44) + sqrt(704).\nAnswer: 3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -949, -5, -4, -24, 0.\nAnswer: -949, -24, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-24)\/(-45)*(-23 + (-11837)\/(-252) - 24)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j + j + 185*j.\nAnswer: 150*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 347811*j - 170. Let h be v(-30). What is h rounded to the nearest one hundred thousand?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 992, 1994, 2972, 3908, 4784, 5582?\n\"Answer: -3*d**3 + 6*d**2 + 1005*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + b**3 + 89*b - 82*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/64 and -83\/6886872.\nAnswer: 55094976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {z: 1, s: 1, x: 1, o: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2935084 (base 11) in base 4?\nAnswer: -103033100303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u*u*u*(u**(-1\/11)\/u)\/u assuming u is positive.\nAnswer: u**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72284 + 72283.9260116. Let m = g + 0.074. What is m rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - p)*((5 - 1 - 3)*(0 + 0 + p) + 4*p + 0*p + p) + (-3 + 0 + 1)*(3 - p**2 - 3) + 6*p**2 - 21 + 21.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 + 7*v**2 + v**2 + 4*v**2 - 27*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-985)\/394*3\/170)\/((-6)\/(-16))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**4 - 6*o - o**2 + 4634*o**3 - 9264*o**3 - 6*o**4 + 4625*o**3 in the form k*o + w*o**4 + f + x*o**2 + n*o**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 3423.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 7514024*r = 0.\nAnswer: 0, 1878506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(80) + 5 + (3*-2*sqrt(80) - sqrt(80))))**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.6 * 21.\nAnswer: 117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 2*k**3\/3 + k**2\/2 + 19*k + 1. Let c = 0 - -1. Let a be g(c). Solve 0 = -2*u - 5*r + 21, 12 = -u + a*r - 3*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4705*s**5 - 881*s**3 - 32459520*s**2 - s + 1?\nAnswer: -282300*s**2 - 5286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805878 is divided by 12997?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -358177706 and 0?\nAnswer: 358177706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 8) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -60, -130, -254, -444, -712?\n\"Answer: -2*s**3 - 9*s**2 + 13*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -96, -132, -136, -96, 0, 164, 408?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + (-5 - 56\/(-7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k - 19 - 8*k + 7 + 9 + 0 + 2*k. Let q(h) be the third derivative of h**4\/4 + 8*h**3\/3 + h**2. Give 22*g(p) + 4*q(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.04 - 8.29. Which is the nearest to -1\/4? (a) f (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67808 equal to -66384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.96 - -2.46. Which is the third biggest value? (a) -107 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -520\/7 - -74. Let l = 2 - 1. Let h = 4.09 - 0.09. Which is the biggest value? (a) h (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4082)\/(-195))\/((-2720)\/100) and -59\/48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11071200 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1743901 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -299378 (base 11) in base 9?\nAnswer: -780568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28*-1.39\nAnswer: -38.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -151*t**2 - 32*t + 18. Let h(v) = 2*v - 8. Calculate h(x(k)).\nAnswer: -302*k**2 - 64*k + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283633 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000736 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 1.4 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-130)*(-10)\/6*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-8) + 33\/6 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l + 84. Determine x(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iivvqimimivayviymy. What is prob of picking 1 a and 1 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 - 5 = 5*m, 5*m + t + 35 = 0. Suppose -7*w + 109*w + 1765 = 31. Let y(i) = 9*i**2. Let v(c) = -3*c**2. Give m*y(x) + w*v(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40545.83027392 - 40818.83025. Let w = -273 - g. Round w to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*i + 464 = 181*i + 104 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -3*x**5\/5 - 303*x**4\/4 - 99*x**3 + 303*x**2\/2 + 300*x + 1437. What is b in m(b) = 0?\nAnswer: -100, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -187, -74?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/18*(-3)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + q = 17, -3*g - 1245*q = -1248*q + 22 + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 - x - 1. Suppose -u = 5*g - 37, -4*g + 7 - 47 = -5*u. Suppose d + u = -2*f + 1, -1 = -d + 4*f. What is the units digit of q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y - 49*y = 8019. Suppose 0 = -d - 727 + y. Sort 4, 5, -5, d in descending order.\nAnswer: 5, 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12718949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16831282 or 16831283?\nAnswer: 16831283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 24*m**3 + 23*m**3 - 4*m**2 + 3*m**2 + 2*m to t*m**2 + u*m**3 + h*m + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547125 (base 12) to base 16.\nAnswer: -146fed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21541911 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/17)\/y)**(-8)\/((y\/((y**(-9\/7)*y)\/y))\/(y\/(y\/(y**(8\/7)*y)*y*y))) assuming y is positive.\nAnswer: y**(-311\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, w: 4, h: 1, p: 2}. Give prob of picking 1 h, 1 p, and 1 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, 0.3, -101?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72656543?\nAnswer: 1871, 38833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/62 and 44\/155?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.026*-0.28314\nAnswer: 0.00736164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let r(c) = -90*c. Let z(y) = -y. Let p(f) = -2*r(f) + 198*z(f). Calculate p(v(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(1\/24). Let d(g) = 10*g - 12. Let v(p) be the first derivative of p**2\/2 - p - 999. Calculate k*v(u) + d(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 423 = -24*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 18 - (-7 + 2)) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 0.2.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4226.2 - 4226. What is the second smallest value in d, -34, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430*-1180\nAnswer: -1687400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -3*d + 3*d. Factor -1\/3 + d*n**2 + 2\/3*n - 2\/3*n**3 + 1\/3*n**4.\nAnswer: (n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 25, -2*l + 4*z + 30 = -0*l. Let y(p) = -p. Let n = 7 + -11. Let c be y(n). Sort l, -4, c in ascending order.\nAnswer: -4, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60465760 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105, 121, 137, 153, 169?\n\"Answer: 16*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 2*b + b)*(2*b - 7*b - b) + 1 - 1 - b**2 to q*b + j*b**2 + f and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 1722\/(-154)) + (12\/33)\/(-2). Is k greater than 89\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 204 = -4*t. What is the remainder when 352 is divided by t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u**2 + 10*u**2 - 2*u**3 + 12*u**2 - 13*u**2 - 13*u + 29*u**2 - 1 as c*u**3 + z + l*u**2 + d*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/190 and 51\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/16*2*1\/9\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 5*a. Suppose -368 = -8*q + a*q. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 13*d**2 + 14*d + 27. Let j be -3*1 + (-4 - -1 - -5). What is the lowest common multiple of 0\/j + 2 + 5 + 0 and t(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42783\/665 - -59\/95. Is -65 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 7*n - 2*n - 5 = 0, -5*n + 5 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68887606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q = -40*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -381*f + 6397. Calculate k(17).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {x: 3, n: 1, i: 4, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 3*f + 1. Let r be t(4). Let j be (-66)\/(-30) - 1\/r. Solve 2*d + 0*u + 4 = -j*u, -3*d + 2*u = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4417867\/623112 - 8\/11127. Let n = 1\/28 + y. What is the common denominator of n and 44\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -14452.\nAnswer: 5\/14452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29160 and 3520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 2*j - 4. Suppose -5*n - 2*g - 25 = 0, 4*n + 32 = 3*g - 7*g. Let a be t(n). Solve 3*m = -3*y - 9, 3*m - a*y = 2*y - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 21*n**2 + 33*n - 13. Calculate p(19).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*f**5 + 6*f**2 + 77*f**4 - 78*f**4 + 11*f**5 + 31*f - 31*f + 6*f**5 + (-2*f + 1 - 1)*(-3*f + 3*f - f**4) - 2*f**3 + 2*f**3 + 5*f**5.\nAnswer: 11*f**5 - f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/15 and -23\/3345.\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 - 1064*k\/3 + 70756\/3.\nAnswer: 4*(k - 133)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(20)\/sqrt(4)*-4 + sqrt(5) - (sqrt(5) + -1 + 1) - 5*-5*(2 + sqrt(5)))**2.\nAnswer: 2100*sqrt(5) + 4700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7695 - -9647. Calculate the highest common factor of 128 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-28 - -11) + -2 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*m**3 - 219 + 219)*(2*m**2 - 7*m + 3*m + 4*m + 4*m**2).\nAnswer: 888*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(2\/5)*p*p*p*p)*p**(-5)*p)\/(p\/(p**(1\/2)*p)*p**(-7)))**(-1\/11) assuming p is positive.\nAnswer: p**(19\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, r: 4, a: 1, o: 6, j: 1}. What is prob of picking 1 o and 3 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15. Is n at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l**3 - 87*l**2 + 13*l + 267. Let y(z) = 2*z**3 + 5*z**2 - 2*z. Let j(b) = -i(b) - 5*y(b). Find the second derivative of j(f) wrt f.\nAnswer: 60*f + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-8))\/(1\/2). Does 4 divide (6\/18)\/(u\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -130. What is the least common multiple of 1 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36450314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640484377 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - z + 8. Let u(a) be the first derivative of 2*a**3\/3 + 1. Determine u(t(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-2)*2\/3 + -1. Factor -2\/5*a + 2\/5*a**y + 0.\nAnswer: 2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, e: 1, v: 2}. Give prob of sequence av.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -33, -2, 1, -11 in descending order.\nAnswer: 1, -2, -11, -33, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 504\/140 - (-6)\/(-10). Suppose -f + a*h + 9291 = 4*f, -3*f + 5575 = -2*h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296359*d*i*x**2 + 117*d*x**2 + 5*d - 2*i*x**2 - x**2 wrt i.\nAnswer: 296359*d*x**2 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 2. Let l be v(-2). What is the third derivative of -6*u**2 + 0*u - 2*u + l*u**5 + 2*u wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -86. Suppose -176 = -l*r + 127. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-14 - (31 + -15 - 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 5*h**2 + 5*h. Let m = -578 - -575. Let u(l) = -l**3 + 329*l + 3 - l**2 - 3 - 328*l. Give m*u(i) + o(i).\nAnswer: -2*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuz when three letters picked without replacement from {u: 5, z: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 34 - (-7 + 1 - (-18 - -19))) + -52?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n. Suppose -k + 31 = -2*f, 3 = -2*f + 5. Let l(z) = 67*z + 102. Let j(h) = -22*h - 34. Let y(p) = -3*j(p) - l(p). Calculate k*y(t) + 6*d(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -2.74 (c) -5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:51 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 40, 41, 30, 7, -28?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2*w - w - 2*w)*(-2 + 2*w + 2 + w + w - w + (5*w - w - 3*w)*(1 + 1 - 1) + 3*w + w - 3*w - 3*w - 2*w + 4*w + w + 2 - 2).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1175)\/(-35) + 3 + (-8)\/14 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + l - 7 = 0, -3*g = -0*g + 2*l - 8. Let m(s) = -4 - s + g*s + 9. Let y be m(-5). Solve -5*o + 15 + 0 = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s + 2*s**4 + s**2 - 2*s**2 + 0*s**2 + 26*s - 6*s**4 - 132 as h + g*s**4 + v*s**2 + p*s + l*s**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 32*j - 212. Calculate q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -26. Let c = p + 16. Let a = 1\/2 - -1. What is the second smallest value in 0, c, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -160*k - 3. Let x(c) = 802*c + 14. Determine 28*q(l) + 6*x(l).\nAnswer: 332*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 0*q**3 + 0*q**3)*(-2*q + 4*q + q + (-2*q - 3 + 3)*(0 - 3 + 1)).\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*k - 2 - 7, 4*d + 10 + 47 = 13*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1726*c**2 - 9*c + 16896.\nAnswer: 3452*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 15) in base 7?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015394863 rounded to 5 dps?\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0559 + -21.1459. Let z = -21 - p. Let r = z + -0.49. Which is the nearest to -1? (a) -0.3 (b) r (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((-2 + sqrt(162) + 2*sqrt(162))**2*5 + 1)*2.\nAnswer: -219330 + 16200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6915?\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 1:04 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (986\/(-957))\/((-6)\/(-198)*-6)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 624, 626, 630, 636, 644, 654, 666?\n\"Answer: d**2 - d + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-2))\/(3 + (-27153)\/9058) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegegogggoggo. Give prob of sequence go.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 43610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -48*w**3 - 27*w**2. Let p(o) = 7*o**3 + 4*o**2. Suppose -7*z + 42 = -4*z. Let y be z\/(-49) + (-60)\/(-14). Determine y*n(s) + 27*p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -9\/5 (b) 8 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 2\/5, 0.2095, 2\/3, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122406546.\nAnswer: 2, 3, 73, 101, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*q - 63*q - 191*q + 0 - q + 0 + (2 - 3 + 3)*(-3*q + 3*q + 2*q) + (3 - 2 + 1)*(q + 0*q - 2*q) + 2*q + 3*q - 2*q to v*q + r and give v.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -6*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 2.64. Let p = k + 3. Let d be -2*(-2)\/(-8)*-2. Which is greater: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g**2 - 1. Let q be j(1). Suppose 3*c - 6*l + l = q, 0 = 5*l + 25. Solve c*h - 6 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 772 - 443. Suppose 2*n + u = 111. Let d be 0 - (n + (-3)\/(-3)). What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645 + 2964 = 730*q + 43*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgg when four letters picked without replacement from fffggf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*g + 2*j, 5*g - 24 = -3*j. Let i = -198 - -174. Let m = i + 25. Which is the nearest to 11? (a) -0.1 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*u - 3*b + 7*b, 4*u = -4*b - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188924, 377839, 566754, 755669, 944584, 1133499?\nAnswer: 1322414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*r - 9480, -4*p - 3*r = -5*r - 9500. What is the remainder when p is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 8.5251453240158.\nAnswer: -12.5251453240158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/933 and 29\/1821?\nAnswer: 566331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*l + 47*l - 110 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*r - 2*j = 282*r + 25, 0 = -2*r + 5*j + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -2, 1, -5 in decreasing order.\nAnswer: 1, -2, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - j**2 + 243 + 91 - 334.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -2 - 4843*k - 3*k**4 + 4814*k + 30. Differentiate d(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1999, -0.2, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 35)*46\/184.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 53 = -28*w + 342 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 + 15*r**2 - 74*r. Calculate p(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 + 0 = -g, 0 = 2*g + 4*v - 12. Sort 40, g, -6 in descending order.\nAnswer: 40, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 2 - 3*s**2 + 22*s**2 - 2*s**2.\nAnswer: 17*s**2 - 22*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11690 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2612913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-22)*10\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/49 and (-394)\/(-280) + (-84)\/112?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -48 (c) -236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzyyyyyyzvz. What is prob of sequence vyy?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 50008974683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13398.00177156 - 13398. What is i rounded to five decimal places?\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x**2 - 5*x - 4. Let p be z(-3). Let b = 10 + p. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 27*c**3 + 3*c**2 + 17*c - 2. Let t(q) = -27*q**3 - 2*q**2 - 12*q + 1. Determine -2*f(w) - 3*t(w).\nAnswer: 27*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -0*m + 2*m. Suppose -5*j + m = -j. Suppose -3*w - j = -3*r - 0*w, -2*w = -2. Solve -6*n = -5*y - 2*n + 15, -2*n = -5*y + r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-11 - 273\/(-11)). Which is bigger: p or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152.076ns in seconds?\nAnswer: 0.000005152076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + -2 - -8)*-5 - -8. Let k(q) be the first derivative of -9\/2*q**2 + 5 - h*q. Differentiate k(i) with respect to i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -57. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -6, 131, 2, -3 in increasing order.\nAnswer: -6, -3, -1, 0, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 22*x = -20. Let t be 10\/50 + (-828)\/x + 1. Solve -r + t = 81 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 - 82 - 157 - 2*p + 51.\nAnswer: -2*p - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 7*n - 35, 3*r = -3*n + 72652 - 72637 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-375)\/(-100) - 9 - (-5)\/4. What is the fourth smallest value in -5, x, -287, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81449925 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78193.0114 - -78185. What is m rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21339900?\nAnswer: 2, 3, 5, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188 * 0.1.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1)*(7 + -6) + -215. Let t = r + 229. What is the greatest common divisor of 105 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**7\/840 + j**6\/60 - j**5\/15 - 3*j**4\/8 - 10*j**3\/3 + 5. Let a(w) be the third derivative of t(w). What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264149506 and 32408?\nAnswer: 8102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/24 and 43\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 338*x - 642*x - 7729 + 2802 - 1876*x wrt x?\nAnswer: -2180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 1 - 4 + 2)*(3*r - 4*r + 2*r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 370 = 2*s. Let u = -36 - s. Suppose 40*j = u*j + 16. Solve -4*l - 4*x + 0 = j, -2*l - 8 = -2*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4130 and 97\/28.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 10*u + 7. Let f be s(7). Let j be (-3 - -2)\/((-2)\/f). Let h = j - -11. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**2. Let p(v) be the first derivative of -15*v**2 + 94. What is p(w(z))?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/509?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165104\/203537 + 2\/5501. Let o = 213\/148 - d. Put 1, -1\/4, o in descending order.\nAnswer: o, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (49 - 5)) + 61.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.04606 - 0.5.\nAnswer: -16.54606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffbbfbfffbfb. Give prob of sequence bf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90191*o + 45091*o + 45093*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r - 5*r**2 - 26 - 61*r + 7*r - 19 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -181. Let p = s - -98. Let m be (-92)\/20 - 6\/15. Sort -1, p, 2, m in descending order.\nAnswer: 2, -1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 13324 + 2464 = 0. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/2*13*(-6)\/15. Let o = -26 + x. Which is bigger: 1\/85 or o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -16*y**4\/9 + 5164*y**3\/9 - 423668*y**2\/9 + 1122560*y\/9 + 102400\/3 = 0.\nAnswer: -1\/4, 3, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(16\/(-132)) - 1\/(-2). Let w(c) = -2*c + 3*c + 4*c**2 + 0*c**2 - 16 - 8*c**2 + 5*c. Let z(v) = -v**2 + 2*v - 5. Calculate a*z(x) + 5*w(x).\nAnswer: -4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37928 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158140902?\nAnswer: 2, 3, 17, 1550401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -5\/2 (c) -152\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*r = -0*r - 23, -2*k = 3*r + 14. Let q(s) = 8*s**2 + 3*s - 2. Let m(j) = 8*j + 2 - 10*j - 1 - 7*j**2. Let d(l) = 3*m(l) + 2*q(l). Calculate d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 2*r**5 + 2*r**5 + (45*r + 51*r + 16*r)*(-3*r**4 + r**4 + 0*r**4) + (0*r + r**2 + 0*r)*(4*r**3 - 2*r**3 + 0*r**3).\nAnswer: -224*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22368351?\nAnswer: 3, 23, 324179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:21 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220209884 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9745 is divided by 3387?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, f: 5}. What is prob of picking 2 f and 1 h?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 15 (b) -99 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 1\/48, -4, -1 in descending order.\nAnswer: 0.4, 1\/48, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f - 4. Let s(m) = 10*m - 4. Calculate 7*b(c) - 6*s(c).\nAnswer: 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1440, -224, 2, 0.5, 1, -0.5 in decreasing order.\nAnswer: 2, 1, 0.5, -0.5, -224, -1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4438721?\nAnswer: 7, 634103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egeg when four letters picked without replacement from gkekgekkekek.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -196*m**5\/5 + 252*m**4 - 1976*m**3\/5 + 112*m**2\/5 + 672*m\/5 + 128\/5 = 0.\nAnswer: -2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-33))\/((-1785)\/11781))\/((-6)\/485)\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:36 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 - 154*c + 5605 = 0.\nAnswer: 59, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, 0, -20 in decreasing order.\nAnswer: 1, 0, -1\/4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144064 divided by -29?\nAnswer: -144064\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -4337.0039.\nAnswer: 4341.0039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = b + 1, -5*g + 5*b = 25. Let h(c) be the third derivative of 0*c**5 + 1\/3*c**3 - 1\/8*c**4 - 4*c**2 + g*c + 1\/120*c**6 + 0. Factor h(l).\nAnswer: (l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwwwwdww. What is prob of picking 2 d and 1 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 5, s: 1, u: 6}. Give prob of sequence xux.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-111 - -1)*5\/105. Let n = -2897\/63 + 500\/9. Let q = n + j. Which is smaller: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.35031 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 431041 to the nearest one thousand.\nAnswer: 431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 14 = -2*c + 5*s, -s = 4*c - 6. Solve -3*t - 4 = 4*g - 1, -5*g - 21 = -c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 = -4*o - 1, 15 = 3*j + 3*o. Suppose 2*y - y - 111 = 0. Calculate the remainder when j\/(9\/y)*1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/1628 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*c + 4*c**2 - 158*c - 7*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, -108, -398, -722, -1086, -1496?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.059 + 0.441. Which is the nearest to -2\/7? (a) y (b) 2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 296 = -c. Let a = -34 - c. Suppose -f - 2*k + 102 = 0, a*k - 15 = -2*k. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1858094 = -185*f + 199*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 17. Let f be b(-8). What is the tens digit of (f\/6)\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -23*k**2 - 1. Determine s(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:12 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*p + 38, 4*g - 10 = 2*g - 4*p. Let y = 10 - g. Suppose -3*s - j + 44 = j, -y*s = j - 40. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 0.75, -5, -1\/2 in descending order.\nAnswer: 3, 0.75, 0, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from gyhhnph?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59240 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 275. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5258081226+-0.11558\nAnswer: 5258081225.88442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1775772 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*6\/9)\/(-73 + 104312\/1428)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 15) in base 16?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363) - sqrt(363))*5 + 4 + sqrt(96)\/sqrt(2)*-1*3 + -3.\nAnswer: -12*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28540831.\nAnswer: 11, 19, 136559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:12 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 15*s + 23. Let i be m(13). Let b(f) = f**2 + 4*f - 1. Give b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 + -1 - (3 + 0). Let n be ((-18)\/h)\/((-1)\/2). Solve 2*f = -n*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 - 90506058*z - 682612211224947 = 0. Calculate z.\nAnswer: -15084343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Let f = r - 0. Let t = 11060.2 - 11060. Which is the nearest to t? (a) 0.2 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189*t**2\/5 - 12130869*t\/5 + 1232352.\nAnswer: -3*(t + 64185)*(63*t - 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vve when three letters picked without replacement from {v: 4, y: 2, e: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 1 v when three letters picked without replacement from frrfvbok?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -983 - -983.5. Let u = 5 - 7. What is the second smallest value in u, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -123*r**3 - 4*r**2 - 93*r - 6. Let q(z) = 243*z**3 + 9*z**2 + 186*z + 13. Let t(c) = -9*b(c) - 4*q(c). What is the second derivative of t(l) wrt l?\nAnswer: 810*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/7 + 41724*x**2\/7 - 145157760*x\/7 + 579963648\/7.\nAnswer: -3*(x - 6952)**2*(x - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6772900 to the nearest 10000.\nAnswer: -6770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 30*n**2 - 37*n - 192. Calculate b(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51463333 - -102?\nAnswer: -51463231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 714*z**2 - 332721*z - 1402. Give k(466).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 15) to base 9.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182318084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*4\/(-255))\/((-2)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*h**2 + 0 + 1\/2*h = 0. What is h?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*0.39.\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y - 60. Let j(d) be the first derivative of -d**3\/3 + 3*d**2 + 7*d - 2. Let k be j(5). Calculate the greatest common divisor of y and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 2*q**4 - 2*q**4 + (-1 + 0 + 0)*(2*q**4 + 2*q**4 - 5*q**4) - 24746*q**2 + 12371*q**2 + 12383*q**2 - 84*q**4.\nAnswer: -81*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from {v: 1, e: 2, l: 3, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(154)\/sqrt(7) + sqrt(22)))\/sqrt(11))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 256*c**3\/3 - 841*c. Let u(d) = 5*d. What is u(x(b))?\nAnswer: 2560*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n - 218*n + 11*p = -108*n + 81, -4*n + 4*p - 36 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 3*b - b**2 - 1 + 0*b**2 + 17*b**3. Suppose -12*j + 2 = -10*j. Calculate the lowest common multiple of n(j) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/12*(10 - 7)). Suppose -4 = -k*z + 6. Factor 15*q**4 - z*q**4 + 80 - 5*q**4 + 178*q**2 - 40*q**3 - 160*q - 58*q**2.\nAnswer: 5*(q - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 - d + 10. Let s be l(7). What is the third derivative of 14*n**2 - 18*n**3 - n**3 - 7*n**3 + s*n**2 wrt n?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:19 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 187065540 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 3*s**5\/20 - 70*s**2. Let n(q) be the second derivative of q**3\/6 + q. Calculate v(n(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -714 in -0.4, 1\/9, 5, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/120 + n**5\/5 + 7*n**4\/12 - 19*n**3\/6 - 16*n**2. Let j be c(13). Sort -10, j, -4 in descending order.\nAnswer: -4, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/14*(2401\/14)\/(-7). Calculate the highest common factor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73964 + -32093. Let v = o + -1674961\/40. Find the common denominator of v and -31\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -16. Let o = g - 5. Suppose -3*q = 9*t - 14*t + 274, 165 = 3*t - 2*q. Calculate the remainder when t is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7418, 3, 2, 230 in increasing order.\nAnswer: -7418, 2, 3, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 529962*v**2 - 529962*v**2 - v**3 + 14*v to the form o*v + s + g*v**3 + d*v**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-6)\/(-45)*-5. What is the third derivative of -5*d**3 - d**3 + 0*d**a - 2*d**2 + 6*d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 12:07 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 439796759*m**3 + 152579472*m**2 wrt m?\nAnswer: 2638780554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3701 or -109682?\nAnswer: -2\/3701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 6*x + 5*q - 44 = 31, 0*x - 37 = -2*x - 3*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3\/3 + 21*h**2 - 4*h - 9438. Let l(g) = -2*g**2 - 126*g + 11. Calculate -3*l(j) - 8*u(j).\nAnswer: -2*j**2 + 42*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 277, 518, 823, 1192, 1625, 2122, 2683?\n\"Answer: 32*j**2 + 145*j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 551 + 35941?\nAnswer: 36392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774916 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -14. Suppose h = 2*y + y. Find the first derivative of y*t**2 + 0*t**2 + 4*t**4 - 5*t**2 - 4 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245426 divided by 41.\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p - 9. Let k be v(-8). Let b be -4 - k - 8 - -2. Let a = b - -10. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 45 - (-25 + 20 + -3 + 11)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 + 28*p + 21. Let k = -37 - -38. Let z(j) = j**2 + j. Let o(c) = k*q(c) - 4*z(c). Factor o(i).\nAnswer: 3*(i + 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in minutes?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -9\/2*t**2 + 3*t**3 - 8 - 3\/4*t**4 + 3*t. Find p such that g(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 9*t + 4. Let p be g(9). Solve -p*v = -3*b + 7, -5*b + b = -5*v - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 2. Let n = -343\/16 + 5863\/272. Let y(t) = -2*t + 14. Let q be y(9). Which is the closest to n? (a) 0 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-297 + 250 - 10*a**2 + 31 + 20*a + 7*a).\nAnswer: -10*a**2 + 27*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 + (2 - 3)). Suppose p*a - 12 = -4*a. Let y(s) = -1 - 360*s**2 - 6 + 10 + 359*s**2. What is y(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1523134 and 0.05.\nAnswer: 1523134.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 + h**2\/2 - 1. Let d be m(-2). Suppose -d*x + 4*x = 0. Which is the nearest to x? (a) 1 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963 = 33*v - 93. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1585 by -22.\nAnswer: 1585\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -4) + 79 + -78. Find the second derivative of i*h**2 - 25*h + 22 + 172*h**4 - 4*h**2 + 27*h + 93 wrt h.\nAnswer: 2064*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9241273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/213)\/((330\/66)\/15)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 3*y)*(20*y - 26*y - 17*y) + 2*y**2 + 6*y**2 - 5*y**2 + y**2 - 2*y**2 + 0*y**2 - 2*y**2 - y + y + (-5 + 2 + 1)*(-4 + 4 + y**2).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221056557 or -2\/13?\nAnswer: 221056557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -2*f, 22 = 2*f - 0*l - 5*l. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 3800?\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91003 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 24 = 0. Let r = 11 - k. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 55)*7\/(-21). Let w = f - 16. Let z be 8 - (6\/(-2))\/w. Solve 4*a = a - z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*b + 2, -3*q + 2*b = -2*q + 5. Let y be q - -5 - 0 - 333. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwk. What is prob of picking 1 k and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - -1*sqrt(2736))*5*1 + 5*sqrt(2736)*-2 + -3)**2 + 1 + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {n: 11, z: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + p**2 + p**2)*(-3*p - 3*p + 4*p) as y*p + l + o*p**3 + x*p**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 237 divided by -2\nAnswer: -237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1827*w + 570 = 1832*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from aaaaaaaaaaaaaaaara.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.647 + 867.647. Let g = b + -865.99999122. Round g to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 3458.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + 0.15. Let o = -0.06 + y. Let i = o + -0.3999. What is i rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (205 - (7 - 3))\/(465\/150505).\nAnswer: 67, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -52*s - 480. Give t(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1272 - -2030. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 7*w - 8. Let j(v) = -8*v**2 + 20*v - 23. Let k(o) = -11*c(o) + 4*j(o). Let n = -4 - 1. Determine k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-12)\/16)\/(51\/(-170)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/25)\/8*5*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 1337*c\/4 - 334.\nAnswer: -(c + 1)*(c + 1336)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 304597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/(-294) + 4\/14. Let i = g + -145\/196. Let y = 0.2 + 0.2. Which is the second biggest value? (a) 0.2 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4714 + 4889 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-4)\/(sqrt(132)\/(sqrt(108)\/(sqrt(9)*-4))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19) + 2)**2 - (2 + sqrt(1216))**2.\nAnswer: -1197 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + w**4 + 12 + 0 - 12 - w**2 - 5*w in the form a*w**4 + h*w**3 + s + q*w**2 + p*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358 + 3*v**3 - 23 - 2*v**3 + v**3 to o*v + c*v**3 + h*v**2 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.745 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2947 - 397366*r**2 + 397366*r**2 - 2968*r**4 wrt r.\nAnswer: -11872*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -6 (c) 0.2 (d) 1.109582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 10 = i + 8*s, -24 = 3*i - 3*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-6))\/(y\/((y*y*y*y**(-2\/11))\/y))*y*y*y**9*y*(y\/(y**(1\/7)*y))\/y)**(1\/8) assuming y is positive.\nAnswer: y**(719\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 + 2*p**4 - p**2 - p - 3*p**2 to the form l*p**3 + c*p**2 + s + r*p**4 + h*p and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 10 - 42 = 0. Sort h, -5, -6 in descending order.\nAnswer: h, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*c + 9, 44*w - 49*w = 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -13\/9, -5, 2\/7, 0.2, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -1746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 5*s**9\/2592 + s**8\/420 + s**7\/1260 - 35*s**3\/3 - 1. Let b(i) be the third derivative of n(i). Factor b(c).\nAnswer: c**3*(5*c + 2)*(7*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*a - 72*a + 140*a - 1 + 31*a**3.\nAnswer: 31*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2109135 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 289081993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-490)\/5)*4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b01b (base 15) in base 8?\nAnswer: 724043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6958 divided by 26627.\nAnswer: -6958\/26627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -25*j - 2*j**2 + 24*j + 19 + 34*j. Let y be s(17). Solve -11 = 4*o + p, 0 = y*o - 5*p - 0*p + 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -5, -3, 0 in increasing order.\nAnswer: -63, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 27124.\nAnswer: -41\/27124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69106*b**4 + 72178?\nAnswer: -276424*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15909*o = 15479*o - 15480 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284031 - 7271.401.\nAnswer: -291302.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 38 + 98 + 3*l**3 - 42 to the form i*l**2 + r + x*l**3 + s*l and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*p - 295*p = -32640 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28712 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171461*k**5 - 409*k - 5 wrt k?\nAnswer: -3429220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 n when four letters picked without replacement from bnnnnnbnbnnnnbnnbb?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*7\/(294\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, i: 3, l: 1, m: 3, d: 2, x: 2}. What is prob of picking 1 m, 1 y, and 2 i?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 2*h**2 + 0*h + (-4*h + 3*h + 2*h)*(0*h - 2*h + 3*h) + (-3 - h + 3)*(-2*h - 1 + 1).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3363010237 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7279, -7835, -8391?\nAnswer: -8947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*n - 26084 = -26146, 3*u = -2*u + 5*n - 155 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-1047072.\nAnswer: -23035584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -12430?\nAnswer: -12423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + (-39)\/52. Let m(n) = -787990*n + 10. Let p be m(i). What is p rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 2, j: 1, t: 1}. Give prob of sequence teg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3304859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 60*y + 4*y + 128 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -127316, -254618, -381920, -509222, -636524?\n\"Answer: -127302*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38462 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -24, -0.5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/3 - 3316*x**2\/3 + 1337149*x\/3 + 446822 = 0. Calculate x.\nAnswer: -1, 471, 2846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*-6*(-1)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*m - 206, m + 0*k + 4*k = 38. Does 2 divide (-12)\/m - (-16)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3402 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -192, -289, -386, -483, -580?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13343 + 37595 = -873*m - 568*m - 143597 for m.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3 - w**3 - 13*w**3 + 8*w + 3. Let d be (-4)\/22 - ((-450)\/55 + -1). Let r(s) = -5*s + d*s**3 + 79 - 79. Calculate -8*r(h) - 5*t(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.1 + 53.6. Which is the nearest to -2? (a) 2 (b) -0.5 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -135*b + 409 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 3:40 AM?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -11, 5, -3 in increasing order.\nAnswer: -162, -11, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1812*n**4 - 2*n**3 - 4193*n - 206120524?\nAnswer: 7248*n**3 - 6*n**2 - 4193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 10:44 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 294\/8 - 3\/(-12). Let f = g - 25. Suppose 2*v = 5*c - 19 - 69, 3*c = v + 52. Calculate the lowest common multiple of c and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + m + 28. Let k(g) = -9*g**2 + 4*g + 57. Calculate -5*i(l) + 2*k(l).\nAnswer: -3*l**2 + 3*l - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.54 - -7.36. Let x = d - 12.9. Put -0.2, -5, -0.1, x in descending order.\nAnswer: -0.1, -0.2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20781479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.49 + 0.527?\nAnswer: 126.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 12812.\nAnswer: 25624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12982 - 12979. Let z(p) be the first derivative of p**4 - 5*p**3\/3 - 3*p**2 + 5*p + 1. Let i(y) = -y**3 + y**2 + y - 1. Give x*z(l) + 15*i(l).\nAnswer: -3*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 370870 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6213 and 14589?\nAnswer: -90641457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, n: 1, u: 2, j: 1, a: 1}. Give prob of picking 1 f, 1 n, 1 m, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**3 - 10*a**2 - 2*a - 2. Let s(b) = -19*b**3 - 20*b**2 - 5*b - 5. Let o(z) = -5*l(z) + 2*s(z). What is the third derivative of o(i) wrt i?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/85 - -256\/595. Put -7, v, -4\/9, -2\/9 in ascending order.\nAnswer: -7, -4\/9, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321220120 + 22?\nAnswer: 321220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 1 + 0*n - 6*n**2 - 2*n + 10*n. Let h(t) = -t + 2. Let l be h(3). Give r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2 + (-780)\/(-78). Let f(j) be the first derivative of 0*j**4 + n*j**2 + 0*j + 34\/5*j**5 + 14 + 0*j**3. What is the second derivative of f(k) wrt k?\nAnswer: 408*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3429 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45\/4 in 1, 0.5, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*a - 3*a = 56, -5*r + 5*a - 25 = 0. Is ((-534)\/r)\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 + 2*f + 69. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**2 + 2*b**2 + (-246*b**2 - 618*b**2 + 15271*b - 15273*b)*(3*b - 5*b + 4 - 2).\nAnswer: 1726*b**3 - 1724*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 2*f - 3*f. Let u(k) = -k**2 + 7*k + 1. Let t(m) = -8*m**2 - 21*m - 3. Let d(b) = t(b) + 3*u(b). Give o(d(x)).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7168 and -32.\nAnswer: 229376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -413546651\/897 - -461033. Find the common denominator of b and -37\/552.\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -9. Let i be 12*q\/((-8)\/7). What is the greatest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1766863 - 1766863 - 1624*u)*(u**3 + 5*u**3 + 3*u**3) to the form b*u + f*u**3 + w*u**2 + c*u**4 + p and give c.\nAnswer: -14616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 16*l + 73. Suppose -2*h + 0*h + 18815 = 18823. Give v(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 3, k: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/2, -3439 in decreasing order.\nAnswer: 8, -1\/2, -3439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3622632*-0.5.\nAnswer: 1811316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -3\/2*c**2 - 12 - 1\/3*c**3 + 0*c. Factor k(y).\nAnswer: -y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -7*r**3\/3 - 11*r**2\/2 + 5*r. Let b = -16 - -6. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30246053200 + 1.\nAnswer: 30246053201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-3 - -18) - (2 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.838l to millilitres.\nAnswer: 730838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 11*g - 7*g. Let a = 10 + g. Put 3, a, 9 in descending order.\nAnswer: 9, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28654 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 + 103*g**2 - 50*g + 29. List the prime factors of r(20).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.18, -3, 2, -2\/7, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 3*u)*(-8*u + 19*u + 9*u).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905136088 to the power of 1\/2, to the nearest integer?\nAnswer: 62491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8882927? (a) 3 (b) -2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8415\/1016 - 20\/127. Find the common denominator of 188\/72 + -5 - 8\/36 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68813 + 68830. Let x = -0.4 + 0.2. What is the second smallest value in m, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(3*h - h - 3*h) + 3*h + 5*h - 2*h + (-5*h - 2*h + 4*h)*(3 - 4 - 1).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 25. Is (9\/5)\/(k\/80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41628 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -16, -581 in decreasing order.\nAnswer: 25, -16, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/16*16\/(-5). Solve 2*m = -y + 3*y - i, 5*y - 4*m - 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/116 - (-32208)\/(-313113)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 - 2*t + 1. Determine d(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 21*g**2 + 65*g + 11. Let v(o) = 7*o**2 + 22*o + 11. Let r(m) = -8*m**2 - 25*m - 14. Let q(h) = 3*r(h) + 4*v(h). Determine 2*p(l) - 11*q(l).\nAnswer: -2*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:43 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 739*r - 2. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7859598\/7 <= -1122799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22458*f*m**3 + 5619*m**3 wrt f.\nAnswer: -22458*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -u - 63, 5*u = k + 1 - 4. Solve 4*r = 2*b + 22, 7*b = 4*b + r - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 = -5*w, 4*w + 5*t = 2 - 3. Let n = -7 - -6.7. Let o = 0.3 + n. Does o = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -7\/2*s**2 + 1\/3*s**3 - 9*s + 0. What is the units digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 - b**2\/2 - 2*b - 15. Let m(u) = -4*u**2 + 2*u - 3. Determine m(i) - 3*p(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 r when three letters picked without replacement from yjyjywlriji.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((2*sqrt(1539) + 0)**2 + 5).\nAnswer: -36963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 4*g**2 + 3*g + 4. Let w(d) = d + 1. Let n = -3366 + 3363. What is n*w(s) + r(s)?\nAnswer: -2*s**3 + 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 69?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4 - 190568*h**2*v**3 - 47*v**3 + 3*v**2 + 2*v - 560 wrt h.\nAnswer: 8*h**3 - 381136*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + z + 0*z**2 - 3*z**2 - 2*z**2 + 2*z**2 + 4*z**2 + (2 - 5 + 5)*(-3*z**2 + z**2 + 3*z**2) to the form p*z + k + c*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/21 and -45\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.7089cm to nanometers.\nAnswer: 587089000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4 = 8*a. Suppose -2*u + 2*l = -2*l - 28, 0 = -3*u - a*l + 22. What is the highest common factor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/8)*b)\/b)\/(b\/(b\/((b\/(b\/(b**(-12\/17)*b)))\/b))))\/(b\/b**(-41)*b*b**(10\/13)) assuming b is positive.\nAnswer: b**(-76799\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from kkbbbkbbbkkpp?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3173 is divided by 1486.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 36\/(-66) - 2394\/(-33)?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 3*r + 0*r + 8*r**2. Let x(y) = 23*y - 1793. Let i be x(78). What is t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 7, l: 1, v: 4, s: 1}. Give prob of picking 1 f and 1 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)\/(1120\/(-128) - -9*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12*d - 4. Calculate i(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.5 + -54.5765. Let l = 72.8765 + s. What is l rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*d**3 - 18 + 22 + 22*d**2 + 23*d**3 - 3 as g*d**3 + n + r*d + x*d**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*171\/36*(-2676)\/(-144058)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 36*t - w + 37 = 0, -3*w = -t + 1 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/17 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 3*z + 81. Let i(x) = -4*x**2 - 4*x + 82. Calculate -4*i(n) + 5*p(n).\nAnswer: n**2 + n + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + w. Let s(v) = -7*v**3 + 5*v**2 + 9*v - 3. Let y be (4\/(-3) + 1)*3. Let c(g) = y*s(g) + 6*t(g). What is the units digit of c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4*y**2 + 3339*u**4 + 3*u**2*y**2 - 3*u + 5 wrt u.\nAnswer: 72*u*y**2 + 80136*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45195 + -45221.957. Let v = -317 - -344. Let c = v + x. What is c rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19)\/(-57))\/((-2)\/(-12)). Suppose 12 = -j*a - 12. Let d be a\/10*(-25)\/15. Solve -d*g = 4*y + 2*g + 4, y = -2*g - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70840?\nAnswer: 2, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 + 16 = 0. Let p(t) = -7*t**2 - 2*t**2 + r*t**2 - 3*t**2. Let u(i) = -i**2. Determine p(u(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*l + 15676 + 7866 = 0. What is the remainder when l is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-481410)\/(-459) + (-6)\/(-34)?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 79*t**2\/5 + 772*t\/5 - 1632\/5.\nAnswer: (t - 68)*(t - 8)*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 3*t**2 - 3*t - 4. Let u be f(-4). Is u\/(-12) - (-926)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -48, -0.094, 1?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*d - 60 + 155 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 + 2*g + 4. Let k be p(0). Suppose k = -y - 11. List the prime factors of y*10*(-2)\/5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221902, 887632, 1997178, 3550540, 5547718?\nAnswer: 7988712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10211002210 (base 3) to base 14\nAnswer: 1d56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.02. Let w = -0.08 + -4.92. Let y = -4.7 - w. Sort y, d, 0.2.\nAnswer: d, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 10}. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 36, 5\/6, 0.03, -12, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1219 and -71689.\nAnswer: 87388891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 29 = -d - 4*d, 4*d = 2*h + 16. Let j(z) = 7*z + 2. Let t(f) = -f. What is h*t(b) - j(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 2416383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 4*h**2. Calculate the remainder when 4 + 3 + 63 + -3 is divided by f(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Suppose -2*v + 22 = -3*z - z, -v - 3*z = -21. Calculate the greatest common factor of q and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 20*u**2 - 19*u - 18. Give z(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 5, d: 9, p: 2, k: 3}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*k + 49 = 460*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432617073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -714*v**3 + 4*v**2 - 2*v - 2. Let q(h) = -3*h**3 - h**2 + 1. Determine l(n) + 2*q(n).\nAnswer: -720*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1372)\/56 + (-1)\/(-2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 514 + 418 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450742 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1621.085km?\nAnswer: 1621085000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66063 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + 19*o**3 - 231 + 140 + 124 wrt o.\nAnswer: 57*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/2 (b) -0.2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22664562 to the nearest integer?\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 21. Let v(t) = -1. Let j(d) = 30*v(d) - 2*x(d). Let s = -107 - -104. What is the tens digit of j(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 s, and 1 x when four letters picked without replacement from jjmsmxmasm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12882.\nAnswer: -1\/4294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485886207 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 77. Suppose -v = -5*n + 5, 0 = 5*v - u + 7. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3 - 120*j**2 - 212*j + 336 = 0?\nAnswer: -28, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -2769.6. Let p = -5351 - x. Let n = -2581.000001331 - p. Round n to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:57 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 917330463 a multiple of 3357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/15 + (-32)\/(-80). Let v = -3631\/6677 - 1\/607. Which is the nearest to m? (a) v (b) -2\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:29 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -378815 + 185619453\/490. Find the common denominator of a and 25\/4.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 48857\nAnswer: 48857.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 2*t + t)*(37036 - 37038 - 21020*t + 7585*t) to a + y*t**2 + u*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/269323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121198587 to the nearest integer?\nAnswer: 33484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9*635\nAnswer: 5715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1122868408 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60459 = -71*i + 39935. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + h = -4*h + 2, -3*h = -3*v - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104918, 839380, 2832940, 6715148, 13115554, 22663708, 35989160, 53721460?\n\"Answer: 104925*u**3 - u**2 - 10*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-1 + 2) + 0. Let w = 25 + v. Suppose -h + 6*b - b = -w, -2*h + 45 = 3*b. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 11. Determine i(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.23 (b) -1 (c) 0.23 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177\/315 + (123\/(-585) - 14\/(-182)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114355200 (base 6) in base 14?\nAnswer: -4095ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3*d - 2 + 2*d + 3*d. What are the prime factors of q(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f**2 - 31*f - 486 wrt f.\nAnswer: -6*f - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(2) - (sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/9 + (-2)\/(-4 - -2). Let l(g) = 7*g**3 - 4*g**2 - 5*g - 5. Let v(f) = -6*f**3 + 3*f**2 + 4*f + 4. Determine c*v(s) + 4*l(s).\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 208 = 404. Let g = i - -59. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-54)*((-132)\/(-12))\/(1\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1. Let x(w) = -6*w + 3. Let n(t) = 6*c(t) - x(t). Let v(a) = -a - 1. Determine -n(u) - 5*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57, 201, 583, 1317, 2517?\n\"Answer: 19*c**3 + 5*c**2 - 4*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 - 5*q**2 + 27*q**2.\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 793975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.745 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 116*q. Let r(w) = 915*w. Give r(z(v)).\nAnswer: 106140*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*a - 123*a = -126. Let i be (-7 - 2)*(-21)\/1. Calculate the greatest common divisor of a and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37125 * 0.2\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 + 23*i + 13. Is v(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 1. Let g be q(-2). Let n be g\/(4\/(-10))*2. Suppose 3*b = -m + 5*m - 217, 2*m - 3*b - 107 = 0. What is the greatest common factor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 48*g**2 - 33*g - 33. Let j(w) = 3*w**2 - 2*w - 2. Determine -33*j(q) + 2*n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 17809192.\nAnswer: 53427576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1013302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -59.3. Which is the third smallest value? (a) h (b) -0.3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 10 (b) -0.2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 22*k + 26. Let d(m) = 296*m**2 + 22*m - 294*m**2 - 7*m + 17. Let i(p) = 8*d(p) - 5*x(p). What is i(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000598817 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62535005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 30. Calculate the remainder when (-4 + 4 + 1)*(26 + -3) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 8. Let n be d(-3). Suppose 0 = n*y - 5*y + 870000. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7788\/126)\/(8\/12). Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 500*t**3 - 40*t - 498*t**3 + 38*t - 32890 + 2*t**2 + (-2*t**2 + 6*t**2 - 3*t**2)*(3 - 3 + t) in the form g*t**3 + s + b*t + h*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 16, 1, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/210 and 53\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:54 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804 and 184920?\nAnswer: 184920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:16 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 226, -749, -3154, -7517, -14366?\nAnswer: -24229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 1210.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*n**3 - 1112*n + 1112*n + 722*n**3.\nAnswer: 1179*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6073883\/110 - 55218. Calculate the common denominator of f and (-26838)\/(-191520) - (-15)\/(-285).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 5*z, 15 + 13 = -k + 2*z. List the prime factors of ((-8)\/k)\/((-20)\/(-270)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -32614*w - 10. Let s(z) = 14*z + 2. Calculate x(s(n)).\nAnswer: -456596*n - 65238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 46 = -33*j + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*y + 14 = 0, -4*y = -17*t - 19 + 79 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-840)\/15)\/(-14)*4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*z = 69*z + 59*z + 1395. What is the remainder when (-4)\/((-16)\/53)*4 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5790990 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 679845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.41 + -0.59. Let n = -122323988.0000022 - -122324017. Let l = t + n. What is l rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145.9 + -148.9. Which is bigger: -228 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 5*v - 452*v - 39*v**2 + 457*v.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -13, 5, -2, 3 in ascending order.\nAnswer: -13, -2, -1\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96025 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -123150\nAnswer: -123150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-212)\/477)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 5288 = -144*t + 46864. What is the highest common factor of 8487 and t?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m + 86*m**2 - 1\/336*m**8 + 0 + 0*m**3 + 1\/105*m**7 + 0*m**6 + 1\/24*m**4 - 1\/30*m**5. Let o(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 1176\/30 - (310\/(-50))\/31?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77476*q - 81901*q - 77479*q + 236857*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 17*v**2 + 4. Let k be f(17). Suppose 3*u = h + 15, -k*h + 40 = 5*u + 15. Solve 5*o - 5*a + u = 0, -2*a = -4*o - 6*a + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-196))\/((8 - -15)\/(-874)) + 1 - 6.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 113. Suppose -56*h + 2407 = -2353. Is h > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4277 and 468?\nAnswer: 153972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143836063843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -5*s + 20, 3*p = 2*s - 13. Sort -5, s, 0 in increasing order.\nAnswer: -5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 13299112*j\/7 - 22108297498568\/7.\nAnswer: -2*(j - 3324778)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:53 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -291000 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321\/7 + -46. Let g = -779\/7 + 111. What is the closest to g in p, 1\/6, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(0*k - 5*k - k)*(3 - 2 + 0)*(2 - 5 - 3) as f*k + x and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658*g + 11*g**2 + 6*g**2 + 1660*g - 3318*g - 20*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85b409 - -5?\nAnswer: 85b412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4 and (-45)\/(-4) - (-8)\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258031\/18 - 14327. Calculate the common denominator of -163\/1404 and y.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**0))**(-2))**(1\/2) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18450.06146 rounded to the nearest 100?\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2192728666.82 and -15.\nAnswer: 2192728651.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + -1 + 2)**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/20 - 10*d**2 - d. Factor j(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(432)).\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 229 = -r - 3*v, 3*r - 691 = -5*v. Suppose 0 = -h - r + 120. Round h to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(153)*-5 - ((sqrt(17) - sqrt(85)\/sqrt(5)) + 1)**2.\nAnswer: -14*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 13*c**2 - 21*c - 19. Calculate the remainder when 76 is divided by a(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3696 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226 + 227. Sort -6\/11, 5, l, -1 in descending order.\nAnswer: 5, l, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1274295\/7, -3, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 + 60*d**2 - 272*d + 377. Determine w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*z = -16, 18 - 8 = -h + z. Let o be (5\/(-4))\/(2\/(-8)). Sort -2, o, 4, h in decreasing order.\nAnswer: o, 4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4\/3, -1, 0.7, -108\/317?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4315*o - 315882 = -1058*o + 1582*o - 11251*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1312 + 1316. Calculate the greatest common factor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*h + 11, -17*o + 19*o - h + 11 = 0. Let k = 1826.77 - 1810. Let w = 17 - k. Which is the second biggest value? (a) w (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 0.067\nAnswer: 3.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 588890741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*g + 6\/7 - 2\/7*g**2.\nAnswer: -2*(g - 3)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.974328 and -0.157.\nAnswer: -1.131328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 20 = 5*f. Let a = 3 + f. List the prime factors of (-10 - a)\/3*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 5. Let b = 9 - l. Differentiate 1 - 5 + 6 - 4*w**b wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 15) to base 13\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/(28\/(-10) + 127466\/(-11730))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (48 - (35 + -14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-670)\/(-8) - (27\/(-12))\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7336 is divided by 145?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 144*m**3 + 452*m wrt m?\nAnswer: 12*m**2 + 864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26284423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8578 is divided by 245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 134*u - 270*u + 131*u as a*u + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v - 2. Let l(i) = 6*i + 1. Suppose 22 = -2*p - 3*n, 5*p + 2 = 4*n - 7. Give p*l(u) - 4*j(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*d**2 + 148*d**2 + 39*d - 601*d**2 + 151*d**2 + 147*d**2.\nAnswer: -4*d**2 + 39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 19 = -16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 110?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/24 - (-16)\/6. Suppose 0 = -5*w - 3*y, -t*w - 4*y - 23 = -3*w. Solve i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-1296)*(-13455)\/46?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*v**5 - 29*v**3 - 73153*v**2 + 267670610*v.\nAnswer: -160*v**3 - 174*v - 146306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f - 23*f = 100. Let h(m) = 2*m - 8. What is h(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkdhhhdkkkkk. Give prob of sequence hk.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + -0.39. Let h = 0.6 + -0.6. Which is the closest to h? (a) z (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1369*m**2 - 4 + 2730*m**2 - 8*m - 1379*m**2 to u*m + z*m**2 + o and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 8. Solve -3*y + s*c = -15, c - 2*c - 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y + 203. Determine w(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 2 (c) 2\/3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 41. Calculate the smallest common multiple of 11 and t(10).\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 0 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165548671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 52b?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4096389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * -0.23.\nAnswer: -0.0713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*d**2*y + 18*d**2 - 2*y**2 + 6 wrt y?\nAnswer: -108*d**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i - 5*a + 95, 3*i = 5*a - 59. Let z be (-497)\/(-9) - (-4)\/i. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1109.8449 months?\nAnswer: 92.487075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 28 = 4*k - 2*y, 3*k = 3*y - 3. Let v(o) be the second derivative of -2*o**3 + 5*o**2 - 1002*o. Let l(x) = -4*x + 3. Determine k*v(c) + 16*l(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 u when four letters picked without replacement from {u: 5, p: 2, w: 12}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lofc when four letters picked without replacement from ocffollfffffllff.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -1590.\nAnswer: -13\/1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/6)\/5*(-13)\/52.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1763488990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2259313 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/17)\/j*(j*j*j**(-10))\/j assuming j is positive.\nAnswer: j**(-176\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1.073.\nAnswer: 0.3219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -4141779?\nAnswer: -4141780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 12 - (-14)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) 121 (c) 3.9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25177750 + -11?\nAnswer: 25177739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (7 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 21. Suppose -2*u - 28 = -3*j - 2*j, 4*u - 4*j + 32 = 0. Let w be -12 - u\/((-12)\/(-9)). Does 13 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.2 (c) -2\/3 (d) 5 (e) 2\/21 (f) -0.68 (g) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 2629240*v + 1728225744400 = 0. Calculate v.\nAnswer: -1314620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 1. Let j be l(-1). Let o be 3\/(-6) - ((-21)\/6)\/1. Let v(d) = -d + 5. Let y be v(o). Solve y*m + 3*q = 1 + 8, 0 = -3*m + j*q - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 12*u - 3. Let s be f(-10). Let j = -11 + s. Suppose -j + 14 = 4*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**2\/2 - 4*y + 9. Let b be q(8). What is the third derivative of -s**3 - 5*s**5 + b*s**2 - 6*s**5 + s**3 wrt s?\nAnswer: -660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2198 and 122198909.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 118 + 118 - 5*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2193826228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*d**2 + 0*d**2 + 4*d**2 + 10*d**2 + 17*d**2.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25649, -102407, -230345, -409469, -639785, -921299?\n\"Answer: -x**3 - 25584*x**2 + x - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2561 - 103?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb0313 (base 15) to base 4.\nAnswer: 222223221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-38)*2*(-2)\/(-2)*12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64781 greater than 64782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/3)\/(-14))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(1 - (18 - 15))\/((-60)\/42).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -55*k + 2. Let h(z) = -109*z + 5. What is 3*h(y) - 7*m(y)?\nAnswer: 58*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 0. Suppose -4*g + 21 + 47 = i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-188)\/16)\/(-1*(-1)\/4). Let a = u + 65. Calculate the remainder when (-942)\/(-18) - (-4)\/6 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.76 - 34.76. Let l = v - -34.61. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2197 + -0.3197. What is the nearest to -1\/135 in 4, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -0*z + 153. Let g(y) = -29*y**2 + 17*y. Let x(w) = -w - 10*w**2 + 7*w + 13 - 13. Give z*x(k) + 6*g(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-6)\/32*68\/102)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/36)\/(8\/30). Solve -5 = -5*k + 5*a, -5*k + 6 = -3*a - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*166\/1660\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(605) + 2 + (sqrt(605) - (sqrt(605) - (sqrt(605) - ((0 + sqrt(605) - sqrt(605)) + sqrt(605))))))**2.\nAnswer: 220*sqrt(5) + 15129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8*36\/(-27))\/((-3)\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 95951*i**2 - 1 + 95963*i**2 - 2*i to the form q + z*i + y*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + 7*p - p - p**2 - 11 + p. Calculate the remainder when 38 is divided by n(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0 (c) 0.0272 (d) 5\/4 (e) -25 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -14, 1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {a: 5, k: 2, q: 2, y: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9971.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -771*a. Let z(r) = -2*r. Give z(t(x)).\nAnswer: 1542*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2000\/(-264) - ((-6)\/(-15) + (-26)\/390)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let u = -156 - -156.01. What is the nearest to o in u, -4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019884197 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27856*j**5 + 14766*j**2 + j?\nAnswer: 1671360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Suppose -11 = -2*d + 17. Let w(l) = 0*l + 3*l + 4 - d*l. Let b(v) = -5*a(v) + w(v). Differentiate b(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/10 - 19*g**4\/6 - 17*g**3\/3 + 5*g**2\/2 + 3*g - 7. Let k be n(-15). Round k to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 = 0, 1 = 5*h - 3*i - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*c + 798*c + 16 = 4*j, 4*j - 4*j - j = 4*c + j - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4173.5 - -4173. Let h = 4 + -3.8. Sort o, 3, h, -0.02 in decreasing order.\nAnswer: 3, h, -0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:53 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 - 15*b**3 - 8*b**3 + 8*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109.7 - -604862888.\nAnswer: 604862778.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k + 97*k - 55*k + 510.\nAnswer: -3*k + 510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -5559490.\nAnswer: -1\/5559490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:02 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 6*x - 4*x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10.51. Let w = -0.01 + k. Which is the third smallest value? (a) 5 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230531589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = c + 1, -c + 5*i = 2. Let l be -2 + 1 + 3 + c. Let s(g) = -g - 1. Let b(j) = -2*j - 7. Let q(t) = b(t) - s(t). Determine q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 27 = -4*l. Let k be (-3)\/1*l\/42. Let y = 3\/7 + k. What is the second smallest value in y, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 + 109. Suppose -13 = 5*n - 38. Suppose -w*h + 15 = n. Solve -c - h = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/77)\/((-8)\/42).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101000101000110101010 (base 2) in base 15?\nAnswer: a08a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259562311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107569971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/((-38285)\/62))\/((-2)\/(-38))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11102 divided by -11102\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -13. Let q be (-2)\/h + (-26)\/(-6). Suppose 2*p = d + 12, 0 = -p - q*d + 1 - 13. Solve -p*i - 3*y + 9 = -8, 3*i = 2*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*g + 63*g - 5*l + 105, -2*g = -7*l + 111 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -678 in -2\/3, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 + 18 + (-16)\/2. Put -0.2, i, -0.5, -5 in increasing order.\nAnswer: i, -5, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-38388.\nAnswer: -23032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 419663760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -13*h + 126. Suppose 0 = -n - h + 9. Factor 3\/7*w**n + 6\/7*w + 3\/7.\nAnswer: 3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 116 - 1655?\nAnswer: -153c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783 times -7117.8?\nAnswer: -48280037.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z - 4. Let q(s) = 6*s - 5. Let r(k) = -6*q(k) + 5*t(k). Let w be r(9). What is the nearest to -1 in -1, w, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 10. Let t be f(5). Let j = 23 + t. Solve 2*y = -2*x + 2, -j = y + 3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -32843784\nAnswer: 5\/32843784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 4303 + 2858 = 0. What is the greatest common divisor of u and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -528 + 604. Suppose 75*q + 10289 = z*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4504 - 44?\nAnswer: -4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from wbbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 465. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 85585*v - 107 + 211.\nAnswer: 85585*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101100100010100111 (base 2) to base 10\nAnswer: -182439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-24))\/(3\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10533 is divided by 3106.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/614 in -1\/8, -3, 2, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvvtvvivvvvuvfuuvnv. Give prob of sequence ft.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10*t = -8. What is the greatest common factor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 44\/(-28))*((-19825)\/2135 - (-32)\/14)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(9\/5)*k*k*k**(2\/19)\/k*k)**(-13))**(-29) assuming k is positive.\nAnswer: k**(139867\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 2, u: 5, a: 3, x: 8}. Give prob of picking 2 x.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:58 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -138933 divided by -129\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**1)*(x*(x**7\/x*x*x)\/x)\/x*x**(2\/23)\/(x**3*x))\/(x**(1\/4)*x**(-2)*x*x)**31 assuming x is positive.\nAnswer: x**(-521\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.05 and -1338.67.\nAnswer: 1405.6035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 9277 + 11521 = 0. What is the remainder when 1312 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/22 + 8\/(-44))*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -21 + 14*r - 2*r**2 + 0*r**3 + 7\/5*r**5 - 1\/2*r**4. Find the second derivative of s(k) wrt k.\nAnswer: 84*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -31*v**3\/2 - 70*v**2 - 5*v - 4. What is the first derivative of t(d) wrt d?\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21831 + 21844. Put -245, -2, i in decreasing order.\nAnswer: i, -2, -245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138905206.\nAnswer: 2, 11, 2477, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 292 or -50?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -23.\nAnswer: 432\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 - 15) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 4*t, -t + 6 = t + 2*o. Let d(b) = t - b**2 + 3 + 0 - 3. Let u(s) = -4*s + 4. Let v(h) = 3*d(h) - u(h). Suppose v(q) = 0. What is q?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168243421 times -5?\nAnswer: 841217105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980701707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410 - -925. Suppose 0 = -16*o + 15*o + w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((2*sqrt(77) + sqrt(77))*5 + sqrt(77) + sqrt(77))) + (sqrt(77) - sqrt(77)*-2)*-4)\/(sqrt(28)\/(sqrt(8)\/sqrt(2)) - (sqrt(70)*-1)\/sqrt(10)).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - -12. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*m**3*q**3 - 6*m**3*q**2 + 2*m**3 wrt q.\nAnswer: 780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*v + 282, -w + 200 + 88 = 5*v. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.8. Let r = -24 - -73\/3. Is w at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1275 and 3824575.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 27621?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2012626 + 1?\nAnswer: 2012630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 5*i - i + 5*i**2 - 5*i to o + b*i + c*i**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 31 + 131 - 71 - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 - 8*b - 2. Let h(l) = -25*l + 222. Let q be h(9). Let a(g) = -2*g**2 - 14*g - 30. Let i be a(q). Give k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -32213101?\nAnswer: -32213123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o + 26. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -117, -106, -95, -84, -73?\n\"Answer: 11*r - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -51*t + 53. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 - 26*o - 831. Let a be b(-48). What is a rounded to the nearest one hundred?\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10465.5037 + 10546.24. Let c = -5.7773 + x. Let i = c + -75. Round i to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3364 = -4*g - 540. Is 69 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -15. Let h be n + 8 + (0 - -203). Let a = h + -68. What is the greatest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/300 + 2*w**5\/75 + w**4\/12 + 2*w**3\/15 + 13*w**2. Factor y(i).\nAnswer: 2*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*c - 1)*(4*c - 6*c + c)*(-2*c + 17*c - 6*c) in the form v*c**2 + x + w*c + o*c**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/43 - 1960\/387. What is the common denominator of ((-120)\/2660)\/(3\/42) and k?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) 8\/15 (c) -26 (d) -8 (e) 0 (f) 4 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 - 3*q**3 + 53*q**2 + 46472 wrt q?\nAnswer: 8*q**3 - 9*q**2 + 106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/44359524 and -79\/121988691.\nAnswer: 487954764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795 a factor of 753794613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1100011001 (base 2) to base 11\nAnswer: -661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69209002747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*f)*(-51*f**2 - 99*f**2 - 74*f**2 + 169*f**2).\nAnswer: -110*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Suppose b = -a + 3*a - 166. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 26*w**4 - w**2 - 2 - 6*w**5 - 17*w**4 - 8*w**4 wrt w?\nAnswer: -300*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 45*w**2)*(-2 - 1 + 5) to c*w + g + d*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.5. Let n = 3.3 + -0.3. Let q = 212 + -211.6. What is the smallest value in v, n, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) 373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 642 and 200946?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 26*g - 16*g - 11*g. Let c(a) = 14*a**2. Determine c(z(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 0, -15*c = -2*q - 10*c + 43 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) 1 (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 0.148577120124?\nAnswer: 14.851422879876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2 - 6\/(-4)). Let g = 3 + v. Solve g*r + 10 = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 37 + 7. Let s be (-2)\/4 + 7865\/10. Suppose -f - s = -5*y, 4*f = -3*y + c*f + 473. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*x - 1881 = 1740, -3*o + 2707 = -4*x. What is the highest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 0, 0.5, -2\/2317?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3146.1 + 3146.6. Let z = -1 + 2. Which is the nearest to -2? (a) h (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) 0.08 (c) 0.14 (d) -19.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27473463?\nAnswer: 3, 3052607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:02 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499911931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -35*a**2. Let k(t) be the second derivative of -t**6\/90 + t**4\/3 + 19*t**2\/2 - 5*t. Let j(o) be the third derivative of k(o). Calculate c(j(l)).\nAnswer: -2240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201410 (base 7) to base 6.\nAnswer: -422052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 = -3888*a + 3859*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:24 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/(((t**(-6\/11)*t)\/t)\/t))\/t)\/(t*t*(t\/t**0)\/t*t))\/(((t\/(t*t\/t**(-2\/3)))\/t)\/t)**(-1\/36)*t**(-3)*t**7\/t*t*(t\/t**5)\/(t**2\/t) assuming t is positive.\nAnswer: t**(-661\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from wtqqtoqtot?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*u = -24, -t - 79 + 73 = -3*u. Suppose -20 = -2*b + b. Let m = b + t. Solve 6*o + 8 = -4*v + m*o, -2*o = v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/147 and -94\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 78176.43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -319, -487, -655, -823?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*x = 1025*x + 28. Calculate the remainder when x is divided by (-12)\/(-5)*10\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65748 + -1178?\nAnswer: -66926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjweeggg. What is prob of sequence egg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 20. Let m be 2 + -7 + -1 + 1. Let h be (0 - -5)*(-4)\/m. Solve 0 = 3*y + y + 2*s - 6, -h*s - 3 = z*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.916647mg?\nAnswer: 0.000000916647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 + 319 = 8*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 - 22673*l**2 - 3*l**3 - 5*l**3 + 3*l**3 + 22715*l**2 - 1.\nAnswer: -20*l**3 + 42*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 178*b**2 - 14*b + 14. Let r(i) = 38*i**2 - 3*i + 3. Let x(w) = 6*c(w) - 28*r(w). Let h(d) = -135*d. Calculate h(x(f)).\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**2 + 3. Let k(h) = -565440*h. What is k(m(g))?\nAnswer: -7350720*g**2 - 1696320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:26 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17141969 to the nearest integer?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.225 and -849.\nAnswer: 191.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1862*y**3 - y**2 + 102*y + 197. Let n be c(-2). Calculate the greatest common divisor of 26 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 4*n = 5*w + 116, 4*n = -w + 20. Suppose 25 = j + 3*v, -7*j = -4*j + 5*v - 63. What is the greatest common divisor of j and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtjxxxqexq. Give prob of sequence tq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**3 - 30*y**2 - y + 7. Let h(d) = 7*d**3 + 29*d**2 + d - 6. What is 7*h(j) + 6*s(j)?\nAnswer: j**3 + 23*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427577 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*s + 71, 31 = s + 5*f + 6. Suppose -686 = -29*t - 34 + 1001. What is the remainder when t is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 704*h + 492193. Give k(-699).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 9*i**2 - 3*i - 29. Let w be d(-9). Let t = -37 + 42. Let k be -1 + w\/(-5)*t. Which is the nearest to -2\/5? (a) 0 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 13. Let z be n(-3). Let -6 + 1 - r**4 + 4 + z*r**2 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 8*a - 112. Let p = 60 + a. Suppose 5*o + 809 = -v + 3328, 10076 = p*v + 2*o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 14. What is the remainder when 41 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 26*y**2 + 32*y - 162. Give c(25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 101100101000?\nAnswer: 101100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3500*w**2 + 6 - 5 - 13*w**3 - 3 + 3548*w**2 to f*w + p*w**3 + c + b*w**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-1))\/((-4)\/4). Let p be -4 - (0 + -1 + s). Suppose p*h = -4*h + 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrirrrrrrrrrirrrr. What is prob of sequence ri?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49736 or -48903?\nAnswer: -49736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + 10*s**2 - 138*s - 10. Let i(j) = 2*j**3 - 5*j**2 + 69*j + 6. Let d(l) = 5*i(l) + 3*q(l). What is the second derivative of d(a) wrt a?\nAnswer: -30*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -10. Is i less than 2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 447486 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*o - 8*o - 13, -h + 906*o + 2072 = 1411 - 2119 - 845 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 40*a + 1496. Calculate the remainder when 360 is divided by p(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:51 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1425 - 1378. What is the remainder when 224 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 24\/7*k + 0 + 3\/7*k**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04176+-6401\nAnswer: -6401.04176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 2433?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 716 and 14447627.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:57 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 21 = 6. Let i(j) be the second derivative of j**5\/20 + j**4\/4 - j**3\/3 - j**2\/2 - j. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 7) + 3*(-4)\/(-6). Solve 2*y = -2*a + 2, -5*y = -3*a - 25 + c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**3 - m**2 + 2*m - 1. Suppose 0 = -5*h + 5. Determine y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z\/(z\/z**(-17))*z*z*z)\/z**7)\/(z*z*z**(2\/19))**5 assuming z is positive.\nAnswer: z**(-523\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)*m*m*m**(-9\/4)*(m**(-2)\/m)\/(m\/(m\/m**(-1\/3))))**(-18) assuming m is positive.\nAnswer: m**(501\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(104\/64) - (-20)\/(-3))\/((-76)\/(-1425))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 329, 737, 1145?\n\"Answer: 408*t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116 + y**3 + 38 - 50.\nAnswer: y**3 + 1104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.95. Suppose z - 5*z = -3*m - 3, 27 = 4*z + 5*m. Let d = z + -1. What is the closest to h in d, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35078, 60401, 85724, 111047?\n\"Answer: 25323*u + 9755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/9, -1.4, -7\/9, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, z: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -453*s**2 + 2*s**3 - 411*s**2 - 8 + 908*s**2 + (2*s**2 - 5*s**2 + s**2)*(-2*s - s + 2*s).\nAnswer: 4*s**3 + 44*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)\/(r*r*r**(-1\/7))*(r\/((r\/(r**1\/r))\/r))**(-24) assuming r is positive.\nAnswer: r**(-174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 945\/(-20) - 6215\/(-4972)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -2*q - 10*n + 28, -q + 23 = -5*n. Solve -j + 22 = -5*b - 5*j, 0 = -b + 5*j + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 168 = -65*c. Solve 0 = c*p - p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1099002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 294844 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 106884\/126 + (-2)\/7. Suppose 18*y - 22*y + w = 0. Let c(d) = -2*d + 212 - y. Let z(t) = 7*t. Determine z(c(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020 + 4892 = -201*q - 203*q + 458*q for q.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13479751 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-96)\/312?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20000087*r**3 + 2*r**2 - 47484720*r wrt r.\nAnswer: 120000522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 444763 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-9)\/(9\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1713 + 1771. Calculate the smallest common multiple of 232 and y.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 170)*(-p**2 + 0*p**2 + 0*p**2).\nAnswer: -161*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -449 > -460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*h - 160 = 2*h, -76 = -j - 5*h. Let z be (523\/7 - 0) + 62\/217. Let u = -56 + z. What is the remainder when j is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, u: 3}. What is prob of sequence uggg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(125) + 1)**2 + 2.\nAnswer: 40*sqrt(5) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2*(-27)\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/13*u + 4\/13 + 2\/13*u**2.\nAnswer: 2*(u - 2)*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {t: 9, u: 2, f: 2, c: 1}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1042 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 4) + 3 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = 2. Suppose -p*a - 57 = 5*f, 3*a = 2*f - 5 - 33. Let d = 11 + a. Let k(n) = n - 3. Determine k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 89*k + 82. What is the lowest common multiple of m(-29) and ((-100)\/15)\/((-1)\/6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101101 + 1?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuquuuq. What is prob of sequence qquu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(-39)*b*b\/(b**(-9)*b)*b\/((b**7\/b)\/b*b*b*b*b*b))\/((b**(-2\/3)*b)**(-7\/4)*b\/b**(-3)*(b**(-3)*b)\/b) assuming b is positive.\nAnswer: b**(-929\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125696467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36188 or -289503\/8?\nAnswer: -36188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 3*m, -4*u + 3*m + 5 = 2. Let j = 116 + -112. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.347 and 25671.\nAnswer: 25670.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 3 = -24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 = 8*k - 3*k, -2*k = 5*r + 5. Let m = 438 + -437.5. Which is the third biggest value? (a) -1\/4 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*t - 51*t. Suppose 0 = -2*y + 913 - 5. Suppose 8*z - y - 290 = t. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 5*c**2 - 7*c + 13. What is n(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 9*v**2 + 12*v + 7. Calculate z(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7551*c + 135951. Give f(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 76*d - 66*d - 11 - d**2 - 22*d. Determine n(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (3 + 4\/(-4)). Suppose -2 + 0 = -g. Suppose g*l + 36 = 4*o - l, 16 = s*o - 5*l. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321078172 to the power of 1\/2, to the nearest integer?\nAnswer: 17919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(-27)\/(-18). Suppose -a + p*a - 3*x = 653, a - 4*x = 655. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 a, and 1 f when four letters picked without replacement from {a: 3, f: 1, k: 1, w: 2, g: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -37, -44, -49, -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 228529 and 0.05.\nAnswer: 228529.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 1, i: 2, z: 2, f: 11}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1593*n**2 - 4608*n**2 + 1423*n**2 + 1581*n**2.\nAnswer: -11*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let r(d) = 4*d + 3. Let k be -7 + 17 + -1 + -1 + -3. Give k*j(s) + r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v + 60. Let y(k) = 20 + 2942*k - 5893*k + 2947*k. Calculate -6*a(j) + 17*y(j).\nAnswer: -2*j - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 780995.8 decades?\nAnswer: 78099.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/6)\/(3\/27). Let a be o\/(-40)*(-10)\/(-18). What is the closest to 0 in 1, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 2*x + 1. Suppose -2*t - 3*t + 195 = 0. Let v = t - 26. Calculate the remainder when v is divided by a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Suppose u*l + 4*k - 76 = 6*k, -3*k = l - 29. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*g**2*m*w**2 + g*m*w + 2*m*w**2 + 16*m + 5*w wrt g?\nAnswer: 348*g*m*w**2 + m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730772473 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 1322323?\nAnswer: 1322343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7257762, 7257760, 7257758?\nAnswer: 7257756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116.2 + -1.2. Let w = -113 + d. Let m = 0.4 + -0.8. Which is the nearest to -2\/7? (a) w (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36152 or 36151?\nAnswer: 36151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6773265957.\nAnswer: 3, 107, 21100517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 9 - (0 - 14) - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 6, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-16\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3949 divide 69435267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 35. Solve a - 8 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -250 + 253. Solve 4*q = 3*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44365 (base 11) in base 16?\nAnswer: fb42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 3*n**2 + 2. Let t(u) = 5*u + 6. Let p(h) = -h**2 + 11*h - 2. Let x be p(11). Let c be t(x). Is a(c) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewotkwohk. What is prob of sequence kwh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 983 + v**2 + 468 + 515 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 19. Let d be o(7). Let a be (d\/(-3) - 1)\/(-2). What is the closest to 4 in 2, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.4443 + -70.5. What is z rounded to three dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23368 - 22825. Calculate the remainder when p is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (-14)\/(-3))*57. Suppose -b + 3 = m. Let r be (-2)\/(-16) - 94\/b. What is the highest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, 14\/5, -1066, -11, 3?\nAnswer: -1066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(4\/(-19977492)). Suppose 2*y + p - 1204797 = g, -3*y = -5*p - 4304408. Let j = -324796 + y. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 186627, 373253, 559867, 746463, 933035, 1119577, 1306083, 1492547?\n\"Answer: -u**3 + 186633*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*n*v**3 + n*v**2 + 1254*n*v - 12*v**5 + v wrt v.\nAnswer: 636*n*v + 2*n - 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7476.83mg in grams?\nAnswer: 7.47683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1206805 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a3 + 3503?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188\/1185 - -2\/79. Which is the third biggest value? (a) 0.1 (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5 - 1. Let q be (7\/5 - t)*-10. Let g = 2 + 0. Solve g = 2*a - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 435, 428, 425, 426, 431?\n\"Answer: 2*g**2 - 13*g + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + -2 - -5 - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 322*m + 3 - 3 + 271*m.\nAnswer: -m**3 + 593*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/79507 + -421625459\/715563. Let i = t + 589. Which is the closest to 1? (a) i (b) 1\/2 (c) 16 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*r - 11, 28*r - 23*r = -2*k + 26. Let m(c) = -c**3 + 6*c**2 - 4*c + 3. Calculate m(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81088.5 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8877?\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45889083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 + 2*g + 2. Let y(x) = -15*x**2 + 10*x + 11. Let t(n) = -54*n**2 + 30*n + 33. Let q(s) = 6*t(s) - 19*y(s). Calculate -11*c(r) - 2*q(r).\nAnswer: -10*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236035211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + -0.7. Which is the third biggest value? (a) i (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 15.07. Let f = t - 10. Is 0.1 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(0 + -5*sqrt(272)*1 - (1 + -5*(-4*sqrt(272) + sqrt(272)) + sqrt(272)))**2.\nAnswer: -719718 - 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4400 = 40*g + 121*g + 114*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9156.191ml?\nAnswer: 9.156191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 21*q - 11. Let n(o) = -3*o + 2. Let a(v) = 6*n(v) + x(v). Suppose -u + 5*k = -0 + 19, -3*k = -5*u - 29. Let m(y) = 3*y + 1. What is u*m(p) + 3*a(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -40229.\nAnswer: 241374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, and 2 y when four letters picked without replacement from {y: 5, w: 2, a: 2, j: 4, z: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, b: 12, z: 1}. What is prob of sequence zbaa?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 3 (c) -9.9 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/13 + ((-318)\/(-39))\/1. Let n be 14 - (-1 + (f - 3)). Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19620\/11 - 2649272\/1485. Calculate the common denominator of u and 70\/3.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 times -1?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 256954336 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430386506?\nAnswer: 2, 11, 29, 181, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1*6))\/((-6)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -86, -118, -152, -188, -226?\n\"Answer: -o**2 - 27*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -229997.64809236?\nAnswer: -229997.74809236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*i - 408*i = -202*i + 1506 + 78 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*r - 87, -24*u + 25*u + 2*r - 28 = 0. Calculate the least common multiple of 609 and u.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (501\/284 - 2)*-2. Let y = 2\/71 + f. Find t such that -t**4 + 0*t**3 + y*t**5 + 0 + 0*t**2 + 0*t = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435260427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 1 - 2*k**2 - 5*k + 15*k**3 + 4*k. What is the tens digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 15*y - 18*y, 0 = -10*z + 4*y + 18444. What is the greatest common factor of z and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/11)\/(3\/22*(-204)\/102).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4197*j**6 + j**3 + 56344*j**2 wrt j.\nAnswer: 503640*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133499 and 7?\nAnswer: 934493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 282972998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246 (base 11) to base 16.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let j be (-1 - -1)*(-12)\/24. Suppose -3*a + 10 = v - j, 0 = -3*a - 3*v + 12. Let x be a*(-1)\/(-9)*12. Solve x*k - 4*n = 2 - 26, 0 = -2*k + 3*n - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*a = -4*a - 25, -4*a + 20 = 4*x. Suppose 6 + 12 = 3*d. What is the greatest common divisor of x and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 620\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4594\nAnswer: 2\/2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20598 (base 10) to base 8\nAnswer: 50166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 2249 = -2444 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -9, -32, -73, -138, -233, -364?\n\"Answer: -k**3 - 4*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, 0.5, -37, 804.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 287\nAnswer: 12\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9.96. Let i = c - 1.04. What is the nearest to i in 0.1, 1\/6, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6232*q**4 + q**2 + 0*q**3 - 6233*q**4 - 7*q**3 - 2 - q to y*q**4 + f*q**3 + r + j*q + b*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 411466 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 272, 915, 2168, 4235, 7320, 11627, 17360?\nAnswer: 24723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*v + 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 - 206. Let d(k) = 80*k**2 - 4*k + 2. What is the units digit of d(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -353084.1, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let o be (74\/6 + -4)*-3. Let c = o + 22. Put a, c, 4 in decreasing order.\nAnswer: 4, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 - 12926*j**4\/3 - 195182*j**3 - 1132306*j**2\/3 - 559688*j\/3 = 0. Calculate j.\nAnswer: -43, -1, 0, 6508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -13500020?\nAnswer: -13500023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8*f)\/(f\/(f\/(f*f*f**(-5\/4)))*f)*(f**(2\/7)*f)**(-1\/7))**(-3\/23) assuming f is positive.\nAnswer: f**(-4155\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 1*-1*5. Suppose 3*d = 2*d + 58. Calculate the common denominator of 44 and d\/(-4)*2\/m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - (1*sqrt(384) + sqrt(384))*5) + sqrt(384))\/(4*((-2*sqrt(8)*-6 - sqrt(8)) + sqrt(8))).\nAnswer: -7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6.18 (b) -4 (c) -2\/7 (d) -3\/8 (e) -1\/2 (f) -5 (g) -60\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-22 - (28 - 52))) + -6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -b + o, 4*o - 410 = b - 431 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13911194 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 0*p - 11*p - 24 - 14*p + 44*p - 5*p.\nAnswer: 3*p - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369024 and 309504?\nAnswer: 9594624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/3 - 20*l**4\/3 - 43*l**3 - 266*l**2\/3 + 32*l\/3 + 128 = 0. Calculate l.\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/((-145)\/((-86275)\/1360))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-4))\/3)\/2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44459 - 42623 = 18*v - 86*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/2 + (-9 - -1). Let i(w) = -w**3 - 6*w**2 + 2*w - 31. Let g be i(y). Put -2, 0, g in descending order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 671328 divided by 112\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40593 + -27472. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500 a factor of 2098557386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 143286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.8962cm to meters.\nAnswer: 0.068962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.194 - -0.194. Let r = -63 - b. Sort 2\/13, 3, -2, r in descending order.\nAnswer: 3, 2\/13, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 19*d = 10. Solve 3*m - d*m - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2, 80940, 1.\nAnswer: -2, 3\/5, 1, 80940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 7*(-114)\/(-133).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664215*a**5 + 656814*a**2 wrt a?\nAnswer: -39852900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 + 4*f**3 + 28*f**2 - 2 - 25*f**2 + 3*f**4 to q*f**3 + d + v*f + m*f**4 + l*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 - b. Does 5 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 - 2*o - 43. Let r be i(-6). Suppose 5*z + r*s - 2459 = 3*s, 5*z - 2456 = -3*s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 54 = -h + 15, -3*s + 2*h = -58. Solve 21 = s*t + 161 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 16. Sort i, 2, -5.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69836906.\nAnswer: 2, 34918453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 298*h - 13108. Calculate k(53).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29776 + 3?\nAnswer: -29773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 8*z + 31. Does 26 divide k(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1732 - 2*v + 1732 + v. Let z(m) = -10*m. Determine j(z(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 235827*u**2 + 0*u + 1 + 22*u.\nAnswer: -235827*u**2 + 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 2. Let i = 0.3 - -0.1. Let w be (-13)\/(-3) - (-4)\/(-1). What is the nearest to w in i, m, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10517 at most as big as -10471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 413107, 826232, 1239357, 1652482?\n\"Answer: 413125*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 4. Let u be 3 + (-1 - 0)*1. Let k(i) = 4*i - u*i + 2 + 1. Give 4*k(m) - 3*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-20)\/12) + 38 + -34\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-15)\/(-5) - -5. Put -4, 2, a, -2 in descending order.\nAnswer: a, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16125)\/(-100))\/(-43) - 2553\/(-740)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1245517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 115*a**6\/6 - 95*a**5 + 130*a**4 - 20*a**3 - 29. Factor y(n).\nAnswer: 5*n**2*(n - 2)**2*(23*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172 and -85.6.\nAnswer: -14723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14371, -28691, -43011, -57331?\n\"Answer: -14320*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17381 is divided by 591?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**4 + 2*h**4 + 2*h**4 + (35*h**2 + 45*h**2 - 7*h**2)*((-h + 2*h + 0*h)*(-2*h + 2*h - 2*h) - 2*h**2 + 3*h - 3*h).\nAnswer: -293*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let t = -13 + 15. Suppose -2*b - 3*b + 35 = n, -t*b + n + 7 = w. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 314613, 314614, 314615?\n\"Answer: d + 314612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84964592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 8993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.5 (c) 1 (d) -1\/4 (e) -14\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x - x**2 + 4*x + x**2 + 8*x**2 + 1. Let y be h(-7). Suppose y = 5*u - 7. Calculate the greatest common divisor of 33 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - n + n + 12*n**3 - 2*n**2 + 2*n - 15*n**3 as c*n**2 + z + u*n + x*n**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4361*k - 124*k + 3856*k + 3023*k + 1611*k - 2047*k.\nAnswer: 10680*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w + 119 = v, 5*v = 10. Does 39 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - 18\/(-81). Suppose -2*a + 7*a + 25 = 0. Sort c, 2, a in decreasing order.\nAnswer: 2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b - 25*b**2 + 63*b + 60*b.\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17962 + -17962.4. What is the fourth smallest value in 0.12, -5, s, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9102\/(-4305) + (-12)\/(-5). Factor -2\/7*m**2 - t*m**5 + 0*m - 6\/7*m**3 - 6\/7*m**4 + 0.\nAnswer: -2*m**2*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9347752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}