diff --git "a/data/dm_maths/full_data_2/1370_11255.jsonl" "b/data/dm_maths/full_data_2/1370_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1370_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 25 = 5*l - 0*l. Let i be (-2)\/11 - 36\/165. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 - 4*d**3\/3 + 3*d + 52. Let j = 19 + -31. Let c = j + 9. Give z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4313 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6468\/18 - 4\/(-6). Find the common denominator of -19\/4 and 4\/(-18) + 3932\/u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/7, -1, -0.2931, 1, -69, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 2, m: 1, p: 4, q: 1, n: 4}. Give prob of picking 1 y, 1 n, and 1 s.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-330))\/(250\/(-625))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d - 4*d. Suppose 11 - 3 = 4*l. Calculate the smallest common multiple of (2 + l)\/(-12)*-15 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*q - 20, 0 = 14*q - 19*q - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 0*d)*(-124 - 2*d**4 + 124) - d**5 + 0*d**5 + 2*d**5.\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/7))\/n*n*n*n**(3\/2)*n)\/(n**(2\/3))**(-1\/4)*((n*(n**(5\/7)\/n)\/n)\/n*n**(2\/7)*n)**(2\/91) assuming n is positive.\nAnswer: n**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3097.053 less than 0.3?\nAnswer: 3097.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-38)\/(-323) - (-13411)\/17?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 3\/2)\/(50\/500). Solve -w*i + 2*a + 5 = 5*a, 5*i - 5 = -a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let v = 22 + -33. Let t(b) = b - 2. Let x(m) = 5*m - 11. Let d(c) = v*t(c) + 2*x(c). What is d(w(q))?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 671551411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138327391 to the power of 1\/2, to the nearest integer?\nAnswer: 46242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 108*h**3 - 69*h**2 + 14*h + 7. Let y(z) = 108*z**3 - 68*z**2 + 12*z + 6. Let x(q) = 6*v(q) - 7*y(q). Find the third derivative of x(m) wrt m.\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:29 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 77427448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = -4*v - 4, 0 = -o - 4*v + 36. Suppose 4*y - o = 2*p, -p + 4*y - 19 = -y. Which is smaller: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*k**3*l**2*o + 1383*k**3*l**2 - 3*k**3 - 7*k**2*l**2*o + 2*k**2*l + k**2*o - k*l**2*o + 243*k*l**2 + 21*l wrt k?\nAnswer: 120*l**2*o + 8298*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573*a = -560*a + 8866. Let h = 2148 + a. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 8, 3*q - 8*q = -3*f - 21. Suppose 5*x = b + 19, -3*b + q*x - 9 = -2*b. Solve r - 10 = b*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -660710*x**5 - x**4 - 6686897*x.\nAnswer: -13214200*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -5 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23722238.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-3 + 13 - 28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 5122*g + 6558721.\nAnswer: (g + 2561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/8519 at least -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/32)\/(((-14850)\/(-120))\/45).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + n + 5 = 2*n, 3*n + 9 = 3*p. What is the third derivative of -24*s**p + 1 + 19*s**2 - s**5 - 1 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62463.\nAnswer: 3, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2222*i**4 + i**3 - i**2 + 4*i - 24?\nAnswer: -26664*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjv when three letters picked without replacement from jvvvevveeev.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55930 + 4*z**3 + 7*z**3 + 55930.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255037585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1)\/(5\/2). Solve -u*f + k + 7 = 0, 3*k = 3*f + 2*f - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*f + 29*f + 150*f.\nAnswer: 288*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-3\/2)*n)*n*n)*n\/(n**(-13)\/n)*n)**45)**(-34) assuming n is positive.\nAnswer: n**(-26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966287 to the power of 1\/2, to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Is 5 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31400)\/80*(8\/50)\/1. Which is smaller: -62 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485838?\nAnswer: 2, 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 8*v + 3. Suppose 18 = -4*o - 10. Let y be n(o). Suppose p + 0*p = y. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 20. Suppose -3 = 2*q + u. Let i = q + 11. Sort i, -2, 3 in increasing order.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(147) + sqrt(147) + -5) + (1*sqrt(147)*-2)**2.\nAnswer: -42*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3883 is divided by 368?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 90591*v - 181167*v + 99 + 90597*v. Calculate i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 18. Let r be w(-12). Solve 0 = 3*a - r*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 6*g + 5. Let z be v(5). Let o(l) = l**3 - 2*l**2 + 121. Is o(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/(-4))\/(-33 - -31) + 74\/10. Which is smaller: k or 12433?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 11*v + 18. Let u = 59 + -66. Let s be j(u). What is the highest common factor of 368 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.84 - 11.43. What is the closest to -3\/2 in 3\/7, -2.9, a, 1\/2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -661*d**3 - 600*d + 580*d**2 + 257*d**3 + 160 + 25*d**4 + 194*d**3 = 0.\nAnswer: 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -60, 2\/3, -0.1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (308*l + 13 - 14 - 313*l - 13*l**2)*(-12 + l + 12) to the form x*l**3 + m + f*l**2 + t*l and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/3 smaller than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w + 436 - 343 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 14. Let n be z(-3). Suppose n*p = -0*p + 1838. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**2 - 13*h + 51. Let k be g(13). What is the hundreds digit of (-3)\/(12\/k) + (-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27.2. Let m be 4\/(-18) - (-515)\/(-180). Let g = m + 19\/4. Which is the third biggest value? (a) g (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 11*g**7\/3780 + g**6\/81 + 7*g**5\/540 - g**4\/54 + g**3\/6 + 31*g**2. Let c(b) be the first derivative of k(b). Factor c(q).\nAnswer: 2*(q + 1)**2*(11*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*i + 5 = 340*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18473\/35 - 11\/(-55). Let n(i) = -17*i - 1. Let y be n(-2). Calculate the greatest common factor of v and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92172943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) -0.1 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2442*f - 2420*f + 115 = 0, 9*f - 31 = -3*b + 10*f for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 867064489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find q such that 1\/3*q**4 + 1\/3*q - 1\/3*q**2 - 1\/3*q**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 30 - 30. Solve 2*a - 4*r = 0, 0 = -a - q*r - r + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -134. Let f = n - 512\/5. Is -0.04 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/44*(-8)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/34 + 51642\/323. Calculate the common denominator of -11\/882 and (-66)\/220 + 258\/i.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.5274 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**2 - 118*u**2 + 62*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 0.5, 0 in decreasing order.\nAnswer: 1, 0.5, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 716896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17.02. What is the second smallest value in -0.4, h, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c + 48 - 48)*(0 + 0 + 2*c) + (4*c + 0*c - 2*c)*(11 - 11 + 3*c) + 17*c**2 - 128 + 128.\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6, 64\/11, 10\/9, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*n = 17, 3*i - 60*n = -65*n + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*8\/(-28))\/(46\/(-161))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -43, -50, -37, 2, 73?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 363*l**4\/4 + 350*l**3\/3 + 227*l + 2. What is the second derivative of v(n) wrt n?\nAnswer: 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/189*21)\/(4\/(-11)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 607680*v + 29180160.\nAnswer: -5*(v - 121584)*(v + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 5, d: 1, i: 1, s: 1}. What is prob of sequence sd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20) + 3 + -2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127763001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*q + 43 = 376, 4*i - 438 = 2*q. Let l = 133 + -89. What is the greatest common divisor of l and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**6\/48 - s**5\/20 + 148. Factor l(k).\nAnswer: k**4*(k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccjj when four letters picked without replacement from {j: 12, c: 6}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k - 1. Suppose 2*x + 18 = -x. Let f be h(x). Let a be (-15)\/(-175) + f\/(-5). Sort a, 2, 1 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002796 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Find the second derivative of 3*u**3 - 3*u**4 - 7*u + q*u - 3*u**3 wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -40. Let y be (2 + o\/(-15))\/((-2)\/21). Let v be ((-5)\/10 - -1) + y\/(-2). Solve -f - 10 = v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 798*b - 198 = 807*b, 4*r + 3*b + 66 = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8444 + 8453. Sort 30, c, 3 in descending order.\nAnswer: 30, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -25. Sort d, -3\/2, -4 in increasing order.\nAnswer: -4, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186633*u**3 + 6*u**2 - 2239879 wrt u?\nAnswer: 559899*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86940 and 65090.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 509*r - 357. Let i(u) = -u + 52. Calculate -7*i(m) - o(m).\nAnswer: -502*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*u - 440 = -313*u. Solve 42*v = -5*z + 38*v - 5, 5*z = -u*v - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) 76 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -93. Is (-467)\/(-7) - 8\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 10*t**2 + 9*t - 1. Determine o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -l + 11*l. Let t(o) = -4*o**l + 5*o**2 + 191*o + 114 - 189*o. What are the prime factors of t(0)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43301 by -28.\nAnswer: 43301\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 57. Let a = -23 - o. Find the first derivative of -a + 5 + 13*n**4 - 6*n**4 - 16 wrt n.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15549 is divided by 679.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104539156 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138332 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 - 36*x - 200. Determine l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.12 rounded to zero decimal places?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vppppppvvvpv. Give prob of sequence vvvv.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*y + 331 = 4*k, y = -3*k + 913. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51548\/(-1092) + 49)*3\/5?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19\/3 (b) 2065 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -3. Suppose -s + 3*s - m = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078696694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l**3)*(-l + l - 2*l) + 3*l**4 + 2*l**4 - 3*l**4 - 31*l**2 + 18*l**2 + 14*l**2 - 4*l**4.\nAnswer: -6*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:24 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 24*w**2. Let o(p) = 18*p**2 - 11*p**2 - 6*p**2. Calculate d(o(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -2 + 4)\/3. Suppose -9*h + 10*h = v. Solve h = -3*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 25 = -o, -6*o = 5*h - o. Suppose 0 = 5*v + h*b + 40, 2*v + 44 = -v + 2*b. Calculate the smallest common multiple of 8 and ((-2)\/4)\/(6\/v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -2. Solve 4*p - 16 = 4*k - 0*k, -3*k - c = 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58813064 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5)*t**(-7))**15)**(3\/11) assuming t is positive.\nAnswer: t**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 + 10*n + 14. Let s(i) = 20*i**2 + 29*i + 41. Let w(o) = -17*j(o) + 6*s(o). Calculate the remainder when w(-6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891282 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -994*s**2 + 9*s + 26. Let t(u) = -331*u**2 + 3*u + 9. Let r(c) = -6*j(c) + 17*t(c). Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 9:14 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -22. Let g(n) = q*n**2 - 7*n**2 + 2*n**3 - n**3 - 2*n + 1. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000083092423 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 6}. What is prob of sequence kkkk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*v - 49 = 38 - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 9 + 11. What is the nearest to a in -0.3, -5, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 419385 = 12*x - 55071. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240207 is divided by 40011.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24, 461, -1, -5 in ascending order.\nAnswer: -5, -1, 3, 24, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600167064*w**3 - 38 + 38 + 600167062*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 20. Let z(m) = m**3 - 5*m**2 + 6. Let n(v) = 2*v**3 - 9*v**2 + 12. Let a(k) = 2*n(k) - 5*z(k). Is a(t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 216*-32*(-117)\/54. Let b = d + -6475. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 50, 84, 124, 170, 222, 280?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 6*p + 3*p. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6*t**4 - 105579*t**3 + 158328*t**2 + 475095*t - 527850 = 0.\nAnswer: -2, 1, 5\/2, 17595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 26*h + 43. Let n be m(-5). Suppose 2*s = -5*w + w + 294, 3*w + 3 = 0. Let z = n + s. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/413?\nAnswer: -2\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*g + g + 1182 = 0, -3*j = -3*g - 1776. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4*a**2 - 31*a - 82. Let o be w(9). Solve 4*y = 5*u + o, 4*y = 4*u + 5*y + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 12. Let j be (4\/(-4))\/((-1)\/2). Let t(l) = -2 - j*l**2 - 6*l + 1 - 4. Give t(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 + 5*p - 27. What is g(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oololllllllolklooll. What is prob of sequence ollk?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8*p = -9*p - 8163, -5*p = 15. Let w = j - 853. What are the prime factors of w?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/18*1*177172)\/(8\/(-348)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 95628?\nAnswer: 95628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 - 5*o - 1. Let b be s(6). Suppose 0*i + 3*i + 3*l - 45 = 0, 5*l = b*i - 115. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.01\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 193650 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.65 * -32005\nAnswer: 52808.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84420 and 6501060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101010 - -1100?\nAnswer: 10101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -7*t + 130 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 24) + 236 + -72 + -125?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139a6 (base 11) in base 6?\nAnswer: 231503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-612)\/(-22) - 26\/(-143).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 1984?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 17, 0.2, 3, 2\/5, -2, 32 in increasing order.\nAnswer: -2, -0.4, 0.2, 2\/5, 3, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:46 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*w - 224 + 849 = 0, 2*w - 496 = -4*m. What is the tens digit of -28 + m - (-3)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126786 and 59721?\nAnswer: 148466406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (1 + -4)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1134*d + 2*d**3 - 1134*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1472)\/(-72) - 12\/27. Factor 50\/7*s**3 - x*s**2 + 88\/7*s - 16\/7.\nAnswer: 2*(s - 2)*(5*s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 246*o**2 - 724*o + 1242. Give g(-243).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - w**4)*(-9 - 4*w + 9 + (0 - 1 + 3)*(0*w - w - w) + w - 3 + 3 - 3*w - w + 3*w).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 3 - (-22 + -5 + 6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -253*l**3 - 2*l**2 + 284.\nAnswer: -759*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 205?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oegwgwbww. What is prob of picking 1 o and 2 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3 + 3030*u**2 - 15213*u + 12180 = 0?\nAnswer: -1015, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 175\/6*o**3 + 2*o - 3\/4*o**5 + 40 + 30*o**2 - 5\/3*o**4. Determine l so that p(l) = 0.\nAnswer: -4, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194632785589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 189*x**3 - 3*x**2 - 3. Let s(y) = -20224*y**3 + 320*y**2 + 320. Calculate 640*g(t) + 6*s(t).\nAnswer: -384*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(855\/36))\/((-102)\/15)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -23. Let r = z + -164\/11. Let y be -8 + 7 + 40\/35. Which is the smallest value? (a) -0.3 (b) y (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (sqrt(2736) - (-2 + sqrt(2736)*-4))*-4*2)**2.\nAnswer: 20160*sqrt(19) + 4378041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3444 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -1. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 7*l + 149. Are l and 176\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - -3) + (18 + -9 - 35)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - i)*(-2 + 3 - 2)*(-34 + 424 + 173).\nAnswer: 563*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167027\/24 + 6961. Find the common denominator of -93\/8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 57. Let t = -1 - -416. Let v = t + o. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-3*29\/464\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378*-2.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Suppose 2*n + w = -4*t - 2, 31 = -4*t + 3*n. Is (2\/t)\/(4\/(-760)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.8 and 0.4.\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2689366\/13 or -206874?\nAnswer: -2689366\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421396279 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7519\/20 - 12\/(-15). Let g = -393 + h. Calculate the common denominator of -2 - ((-6)\/4)\/((-84)\/26) and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-25)*5*(-2)\/(-5). Let n = 63 - 62. Which is the nearest to n? (a) 2\/21 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**2 + 882*j**3 - 459*j**3.\nAnswer: 423*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187043940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/(b**5*b))\/(b**(-2\/11)*(b\/b**(-2))\/b) assuming b is positive.\nAnswer: b**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 47332*w + 2082599. Give r(-44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-20) - (-17)\/2. Is -6*((-78)\/v + 2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let n(d) be the first derivative of 3*d**2\/2 + 7. Let b(v) = 5*n(v) - 8*w(v). Let o(a) = 3*a + 9. Let y(p) = 4*b(p) + o(p). Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218 - 203. Suppose -4*x - 24 = -4*j, 0*x = -2*j - 2*x. Solve -j + p = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879, 855, 821, 777, 723?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = 3*x - 12, -4*f = x + 8. Suppose -x = -0*z - 2*z. Let b(s) = -5*s + 0*s - s**3 + 0*s**2 - z*s**2 + 2*s - 4. Calculate b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18+4331.658389967\nAnswer: 4349.658389967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/12 - 49*i**3\/3 + 2401*i**2\/2 + 184*i + 109. Let z(n) be the first derivative of v(n). Let z(r) = 0. Calculate r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1123, -1109, -1095, -1087, -1091, -1113, -1159?\n\"Answer: -u**3 + 6*u**2 + 3*u - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, p: 7}. Give prob of sequence pn.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2849 and -51631.\nAnswer: 147096719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -27*q + 62. Let n be k(6). Find the common denominator of -23\/16 and (-15)\/12*(-3)\/((-54)\/n).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 7\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13664279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 222 = 3*j, -3*j + 5*j = -5*t - 1045. Let i be (-2)\/(-4) - t\/2. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, j: 3, g: 1, l: 2, r: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n - 40. Let h(j) = -43*j + 114. What is -3*h(r) - 5*i(r)?\nAnswer: 24*r - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:32 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 8*g - 4. Let w be n(-9). Let y = -361 + 556. Suppose -w*p + y = -2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + u**3 + 2*u**4 + u**5 + (-u**2 - 4*u**2 + u**2)*(-4*u**2 + 4*u**2 + u**3).\nAnswer: -3*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -14. Suppose -a*x = -3*b - 227, 5*x - 237 = 3*b - 16. Let z = -48 - b. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 7*k + k)*(-3*k - 3*k + 4*k) - 3*k**2 + 0*k + 0*k + (0*k - 5*k + 3*k)*(-4*k + 4*k + 3*k) to the form f + g*k + o*k**2 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 6. Let i be d(-9). Suppose -i*a = -6 - 33. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 9*p - 180. Is r(-29) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -165 - (-7 + 6 + 2 + -17 + 6).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.093, -1, 8 in ascending order.\nAnswer: -5, -1, -0.093, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10011 - -423?\nAnswer: 10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose 0 = n - b*d - 28, -n = 4*n + 4*d - 44. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 84.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.25 + 1.02. What is w rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*d - 1 + 1 - 104*d - 103*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530700948?\nAnswer: 2, 7, 311, 175781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 5. Suppose -5*p = 3*c - 27 - 56, 4*c + 4*p - 100 = 0. Let k = c - q. Solve -m = 2*i + k, -3*i - 30 = i - 5*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 8347 = -10157. Find the common denominator of (3\/(-8))\/(f\/(-1040) + -3) and 30\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-315)*(-20)\/4*2\/(-18)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/6, -1.5, -279, -332?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(4\/7))*m\/(m\/(((m\/((m*(m*m*m*m**(2\/5)*m)\/m)\/m)*m)\/m)\/m)))\/(m**(-3\/11)\/m**6))**25 assuming m is positive.\nAnswer: m**(4430\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.101, 26\/3, -3, 25\/2?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449693 is divided by 386.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose k*d - 5*z - 9 = 0, -4*z = -d - z + 7. Let f be 25\/4 + d\/8. Solve -y - f + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -71*l**2 + 10*l - 68. Determine x(3).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggttttgttt. Give prob of picking 1 t and 2 g.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -337, -422, -507?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r**2 - 238*r**2 - 247*r**2.\nAnswer: -435*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51034404 (base 6) to base 15.\nAnswer: -1d9ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/12 + 5*l**3\/6 + 3*l**2 + 3*l + 3. Let r(f) be the first derivative of b(f). Give r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 105216.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/174 and 19\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 14. Calculate the highest common factor of 154 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = r + 218, -2*r + 506 = 2*q + 86. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 - 1.1. Let q = 2 - 0. What is the nearest to 1\/2 in g, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 3*j**6\/10 + j**3\/3 - 5*j. Find the second derivative of q(v) wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 11*r + 15. Let q be b(-12). Suppose 5*x + 94 = -2*d, -q*x - d = -4*d + 69. Calculate the common denominator of x and 97\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296522307?\nAnswer: 3, 97, 339659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22207270 and 5610?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = 0. Let h be 6\/15*(3 - -2). Put u, h, 4 in decreasing order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5250)\/5390 - 30\/(-70)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -18. Let g be (-1)\/(-3) - p\/3. Put -4, g, 4 in descending order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 27556*t**3\/5 - 80676*t**2\/5 - 1188*t - 108\/5 = 0.\nAnswer: -3\/83, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5785445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*n - 3)*(-10*n**3 - 22*n**3 + 9*n**3 + 3*n**3 - n**3 - n**3 - 3*n**2 - 2*n**3 + 3*n**2 + (5 + 2 - 5)*(-n**3 - 2*n + 2*n) - 2 - 2*n**3 + 2).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 - -6)) + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -141. Suppose -q + y = 1. Let n(c) = -2*c**2 - 12*c. Calculate the remainder when n(-5) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7805*q + 2*q**3 + 15588*q - 7783*q + 13*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 9 - 9)*(-3 + 2*a + 3).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/3 - 441*w**2 - 64922*w\/3 - 21200 = 0.\nAnswer: -1272, -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mgvvglggs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/280)\/((-3)\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 743 - 743 - 2*f**2. Let v(a) = 5*a**2. Calculate v(g(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2422 + -340110?\nAnswer: -343032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -53419*o - 68*o**2 + 53419*o. Let k(a) = -3*a**2 - 17*a. Let z(q) = q**2 + 6*q. Let f(y) = -6*k(y) - 17*z(y). Calculate f(s(p)).\nAnswer: 4624*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24272987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, v: 9}. Give prob of sequence vvqv.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -188*r + 189*r. Calculate the remainder when r is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*f + 2)*(-3 + 1 + 1)*(-1716 + 49*f + 1716).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - 1. Let m(c) = 3*c**4 + 15*c**3 + 9*c**2 + 18. Let w(t) = 15*b(t) + m(t). Suppose w(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.07, -1\/4, -42, 2, 0.1, -4 in decreasing order.\nAnswer: 2, 1.07, 0.1, -1\/4, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/9, 2205, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 < 383988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-13 - (25 + -31) - -31).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27fd - -2591?\nAnswer: 4d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 47*p - 304. Calculate a(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 - 15) + (-3)\/(-1). Is -23 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44325.20469 and -59.98.\nAnswer: 44265.22469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1223 times 48940\nAnswer: 59853620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7345 - 1475 = -7*n. Let d = n + -759. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 7, m: 1, y: 5, w: 3}. What is prob of sequence ur?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 4*x - 2. Give y(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 475080585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g - 54*g - 4*y = -8, g = -4*y + 8. Suppose g = r - 281 + 39. What is the highest common divisor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 299.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.3. Let o = 0.07 + -0.1. Let m = o - 3.97. Put m, w, 3 in descending order.\nAnswer: 3, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:03 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f**4 - 11*f**3 - 11*f**2 - 11*f - 5. Let i(p) = 7*p**4 + 4*p**3 + 4*p**2 + 4*p + 2. Let k(y) = -11*i(y) - 4*r(y). Differentiate k(a) wrt a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let q(d) = 27*d**2 - 18*d - 18. Calculate -18*c(f) + q(f).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 95 = 127. Suppose -3*d = m*v - 470 - 396, -4*d = -4*v - 1192. Calculate the least common multiple of 12 and d.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 3, 13, -3\/14 in descending order.\nAnswer: 13, 3, -3\/14, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844 - 3069 - 71 = 166*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3 + 3 + 312. Let g = -87 + p. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/21 and -5 - (-81)\/15 - 66\/(-135).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2839229, 2839235, 2839245, 2839259, 2839277?\n\"Answer: 2*b**2 + 2839227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q - 10. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87743 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58727 - 31205. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 + 262. Let h = 2.07 - -1.93. What is the nearest to 4 in h, j, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 26*f**2 - 24*f + 45. Let s be x(-25). Calculate the greatest common divisor of s and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 566. Let w = b + -248.5. What is w rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 y when three letters picked without replacement from {j: 1, o: 1, y: 9, t: 4}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/3 + 9*u**2\/2 + 10*u - 5. Let k be j(-8). Suppose -48 = -5*x - k*z, -4*x + 5*z + 43 = 2*z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/2 - 423*b\/2 - 1287 = 0. What is b?\nAnswer: -6, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -16, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 1401, 3165, 5635, 8811, 12693, 17281?\nAnswer: 22575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.05 (b) -1\/5 (c) -1 (d) -31 (e) -6 (f) 1855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2958*f - 669*f - 124 + 4702 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 1.723?\nAnswer: -0.08615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445547084 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15972 divided by -132?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008873536 to five decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 5. Let c be j(-5). Suppose 0*n + c = 4*h - 5*n, 2*h - 3*n - 25 = 0. Let z = -6339.3 - -6339. What is the third biggest value in z, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7. Let r = 2 - y. Suppose 5*i = -48 + 73, s + 2*i - 13 = 0. Put 9, s, r in decreasing order.\nAnswer: 9, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3633011 + 0.21\nAnswer: -3633010.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2 - 21*c + 94. Let f be j(-18). Solve 0 = -5*i - 5*r - 45, 0*i - 5*r - f = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 231*k + 87945. Give m(137).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -21. Let k = -23 - -62. Suppose k = 3*m + 3. What is the highest common divisor of t and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -18*i**2 + 1203*i - 8479. Give q(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 46 = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 3. Let r(g) = 3*g - 6. Suppose 5*i + 12 = 3*i. Let h(u) = i*r(u) - 10*s(u). Give h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 50. Suppose 2*a = -1 + x. What is the remainder when 33 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12593*w + 6. Let h(u) = 16776*u - 8. Give -8*h(x) - 11*k(x).\nAnswer: 4315*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o = -12. Suppose -22*y + 5*y - 416 = 15*y. Which is bigger: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 239. Let l(t) = 86*t + 400. Let h(a) = 413*a + 1925. Let f(r) = 16*h(r) - 77*l(r). Calculate f(j(d)).\nAnswer: 14*d + 3346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-2 + (-346)\/(-4) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*l - 22 - 146 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000284 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 + 8 = -4*i - 3*y, -208 = -3*i - 2*y. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and 0.0293 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -39*f**3 - 17*f**2 - 11*f + 3. Let t(i) = 13*i**3 + 6*i**2 + 4*i - 1. What is -6*d(g) - 17*t(g)?\nAnswer: 13*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 27*u**2 + 24*u + 31. Give g(26).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.3. Let s be (-6)\/(-4) - (-9)\/(-6). Put g, 5, s in increasing order.\nAnswer: s, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:07 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by -5 + 21 + 3 + -5 + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(-1)*537\/1432.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15176332 * -5.\nAnswer: -0.7588166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let c = -53 + 56. Let y = c - q. What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -22. Let k(l) = -36*l - 16. Let b(z) = 71*z + 32. Let m(u) = i*b(u) + 5*k(u). What is the first derivative of m(n) wrt n?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -137. Let w(v) = 59 - 5*v - 11*v**2 - 25 + 42*v**m - 29. What is the remainder when w(2) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b + 495. Let q be i(14). Suppose -v = q*t - 317, 5*v + 18*t - 1606 = 14*t. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**4\/12 + 7*h - 1. Let d(r) = 8*r. Calculate d(u(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/5 of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11323*c. Let o(t) = 2*t**2. What is u(o(m))?\nAnswer: 22646*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y - 80. Let l(j) = -15*j - 160. Let r(c) = 5*a(c) - 3*l(c). Calculate the smallest common multiple of r(-13) and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -12 in increasing order.\nAnswer: -12, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 32. Let v(g) = -11*g**3 - 5*g**2 + 6*g - 1. Let y be v(1). Let l = y + -5. Let a be s(l). Solve a*n - n = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-297)\/(-18))\/(2\/4). Suppose -161 = -f - 5*g - q, -5*f + 640 = 5*g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 > 160\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 2*l - 2*l)*(1 - 2 + 2) - 28 - 4*l + 28 + 4*l - 7*l - 21*l in the form c + x*l and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2. Let p = 0 + 8. Let w be 8*(0 - 6\/p). Let x(m) = 2*m**2 + 9*m. Let r(q) = q**2 + 3*q. Let a(z) = 3*r(z) - x(z). Give w*a(c) - t(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11275, 14563, 17851, 21139, 24427, 27715?\n\"Answer: 3288*v + 7987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 134*h**2 - 435*h - 43. Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1714310*m**5 - 8*m**4 + 6*m**3 + 508980232*m**2 wrt m.\nAnswer: 102858600*m**2 - 192*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + -46. Let y = r - -165. Suppose -y*h + 88*h = 330. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l - 9. Let j(p) = -2*p**2 - p + 10. Let n(u) = -4*u**3 - u**2 - u + 3. Let z be n(1). Let m(r) = z*d(r) - 2*j(r). What is m(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4388 = 27*o - 23*o, o - 2*w - 1084 = 0. What are the prime factors of o?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 10. What is the first derivative of z - 2 + 12 - o*z + z wrt z?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*j**3*p**5 - 471*j**3*p**2 - j**3*p - 4*j**2*p + 1891*j*p wrt p.\nAnswer: -1780*j**3*p**3 - 942*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25498509 to the nearest one hundred thousand.\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 + i**4\/3 + i**3\/2 - i**2 + i. Let k be r(-3). Let z = -411 + 407. Put k, -5, z in descending order.\nAnswer: k, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179975560553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 356912449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5 = 7. Let b = -96 + 6239\/65. Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-42))\/(12\/(-8)). What is the closest to 0.5 in -2\/3, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5\/2, -0.69, -0.5, -19 in ascending order.\nAnswer: -19, -5\/2, -1, -0.69, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 210888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1051)\/5 - (-1 - 4\/(-5)). Let d be 5*(-2)\/36*168\/v. Is d < -3.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 2)*((0 - 3 + 2)*(2 + 2*k - 2) + 3*k - 5*k - 4*k) + (-4*k + k + 2*k)*(-4 + 2 + 3).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**3 - i**2 - 91*i - 10. Let l(c) = -15*c**3 + c**2 + 135*c + 14. Calculate -5*l(k) - 7*q(k).\nAnswer: 5*k**3 + 2*k**2 - 38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 434*m - 872.\nAnswer: (m - 2)*(m + 436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20789 is divided by 297.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 7*r**2 + 7*r + 7. Let n(i) = i**3 + 4*i**2 - 4*i - 4. Suppose t - 5 = 2. What is t*n(f) + 4*y(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*s**2 - 33356*s - 6641040.\nAnswer: -4*(s + 268)*(8*s + 6195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/3*n**2 + 106*n + 168 - 2\/3*n**3.\nAnswer: -2*(n - 28)*(n + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 117.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - 27\/(-18). Let w(o) = 13*o**3 + 7*o**2 - 10. Let b(k) = -4*k**3 - 2*k**2 + 3. What is n*w(t) + 7*b(t)?\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*s + 592, 112 + 893 = 5*j + 3*s. What is the highest common divisor of 289 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10059595 and 1365?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m + 178. Let k = -258 - -244. Let d be v(k). Solve -d = -5*h - 0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 24 = 22*x - 3*l, -27 = -5*x + 3*l. Let b = 2 + -1. What is the tens digit of 6\/(b\/(x*6\/9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 + 0*t**2 + 0*t**2)*(12*t - 2*t - 6*t) - 4*t**3 + 4*t**3 - 3*t**3)*(-t**2 - t + t).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -s + 2*h, -2*s + 1516 = -2*h + 1532 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 4. Let q(c) = 4*c - 9. Let y(d) = -5*j(d) + 3*q(d). Let n be y(5). Sort 4, -4, n.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.119 - 0.019. Round g to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 3*n - 1. Let v be 2\/(-9) + (-65)\/(-9). Let g(t) = -t**2 + 7*t + 3. Let c be g(v). Let x be k(c). What is the closest to x in 2\/7, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let d = 0.2 + h. Let z(a) = -a**3 - a**2 + 7*a - 1. Let x be z(-3). What is the closest to d in x, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64228, -5, -2, -9 in increasing order.\nAnswer: -64228, -9, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1140 - -1144. Sort 14, 0, m in descending order.\nAnswer: 14, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(-4*g + g**2 + 4*g)*(-g - 1 + 1) + 2*g**3 - 3*g**3 + 3*g**3 to r*g**3 + j*g**2 + h + d*g and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 13. Determine p(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 247*q + 3960. Calculate i(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*u + 20, -2*u = 9 - 17. Let c be (-2)\/(4\/d*-2). Solve 3*v - c = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112360 by -28090.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11843, -11851, -11859, -11867, -11875?\nAnswer: -11883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590748 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 46*c = 120. Sort c, 2, 30, 0, -2 in descending order.\nAnswer: 30, c, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**0)**(-1\/19)*(w\/(w\/w**4))\/((w*w\/w**(-6\/11)*w*w)\/w*w))**21)**(-20) assuming w is positive.\nAnswer: w**(2520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -250146045.\nAnswer: 1250730225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 7*z**2 - 2*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656 and 554.\nAnswer: 181712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 3*z - 5. Let h(d) = -2*d**2 + 2*d - 3. Let c(a) = -3*a - 6 - 5 - 14 + 2. Let x be c(-10). Determine x*h(g) - 4*y(g).\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p - 23. Let g be t(9). Solve 90*o**3 + 48*o**2 + 28*o**4 + 13*o - 103*o**4 + 27 - g*o = 0.\nAnswer: -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3337520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(-6*p**3 - 12*p**3 - 2*p**3) as v*p + n*p**3 + f*p**2 + i and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(7\/4))\/g)\/g*g)\/g*g**(3\/2)\/g*g*g\/(g*g*g\/(g\/(((g*g\/(g*g\/(g**(-11)\/g*g)*g))\/g)\/g))*g*g*g)*g*g\/g**(8\/3) assuming g is positive.\nAnswer: g**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 10 = 3*n - 2*v, -4*v = 3*n - 16. Suppose n = -2*s + 4*s. Let b(q) = 22*q**s - 43*q**2 + 23*q**2. Let r(l) = -4*l. Give r(b(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + g + 87 - 2*g**2 + 0*g**2 - 31*g. Is 3 a factor of w(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 1)*(-23 - 12*f**3 + 23) - f**3 - 7 + 5 + 3*f**3.\nAnswer: -70*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402285 (base 9) in base 10?\nAnswer: 237893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1865 - 1820. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26408 times 1\nAnswer: 26408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:00 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 50886 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 338712?\nAnswer: 33871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3721101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a - -22?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -31. Let k = -17 - z. Solve -n + 2*n - 5 = k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 - (-112 - -44) - (-1 + -8)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzayyyyzaayryyyayy. Give prob of sequence aray.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - 4096070.\nAnswer: -4096071.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41740530246573 from -1.\nAnswer: -41740530246574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 + 282*v + 285 = 0?\nAnswer: -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -0.12. Let x = q + 0.52. What is x rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let v(p) = 3*p**2 - 5*p - 2. Let d(z) = 2*b(z) - v(z). Let j(h) = -h. Let k(m) = 2*m - 2. Let f be k(-1). What is f*j(n) - d(n)?\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4045740 * -5.\nAnswer: -20228700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*b - 3 - 0, -5*n = -25. Sort b, 1, 3\/2.\nAnswer: 1, 3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3947756 to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 + 7*m**2 - 18 - 8*m**2 - 7*m + 10*m - 3*m.\nAnswer: 8*m**3 - m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - w - 5 + 13 = 0, w = 2*p - 2. Let m(b) = -10 - 4 + 7 - p*b - 13. Let z(t) = t. Calculate m(z(q)).\nAnswer: -2*q - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.085825 centimeters?\nAnswer: 70858250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(21)*5)\/((sqrt(35) + 2*sqrt(35) + sqrt(35) + sqrt(35))\/sqrt(5))*5.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*f, r + r + 2*f + 12 = 0. Let z = -67\/40 - -13\/10. Let x = -3 + 8. What is the closest to 2 in x, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-3)\/2*(-85)\/(-204))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/77?\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2039283338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w + 0*w - 3*w)*(-2193 - 7*w**2 + 2*w + 923 + 1002) to y*w**2 + b*w + r*w**3 + k and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -0.17. Which is the nearest to -1? (a) 2\/13 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**3 - 22*y**2 + 17*y - 63. Determine k(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*z - 4*k - 20, -4 = -3*z - 2*k. What is the greatest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -104. Let d(y) = -19*y + n*y**2 - y**3 - 3*y + 9*y - 3. What is the remainder when d(-6) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-1)*(-18)\/(-150))\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/5 (c) 731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 48717*p**3 + 48720*p**2.\nAnswer: -3*p**2*(p - 1)*(p + 16240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1488 and -53\/1674.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 4)*3\/9. Let q be v\/(-5) - (-4039976)\/40. What is q rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812230971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 608342 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2587, 5176, 7765, 10354, 12943, 15532?\nAnswer: 18121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1419, -0.4, -0.1?\nAnswer: 1419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 282, 608, 1056, 1626, 2318?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(33)\/sqrt(12) + sqrt(11) + sqrt(11)) + -1 - ((1 + sqrt(475) - sqrt(475))*4 + 2).\nAnswer: -7 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -71711*y - 1551. Is u(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**2 - 33*a + 33*a to p*a**2 + k + u*a and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 - 4124*k**2 - 187328*k - 2012400 = 0. Calculate k.\nAnswer: -26, -18, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + z**2 - z. Let o(u) = 7*u**3 - 3*u**2 + u. Let y(k) = 9*l(k) + 4*o(k). Let r(b) = -8*b - 4. Let m = 11 + -12. Let t be r(m). Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536\/864*-6*2\/4*3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -55. Let n = 59 + r. Suppose -27314933 - 46185067 = n*c. What is c rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-4.7.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffcwgfbgcii. What is prob of picking 1 g, 1 b, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjfxfffjaftftjf. What is prob of picking 2 j and 1 t?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5004 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 24. Suppose -5 = -k - 3*j - 2, 2*j = 2*k - a. Solve t - k*t = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870711558?\nAnswer: 2, 193, 2153, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:15 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40727, 81402, 122053, 162668, 203235?\n\"Answer: -2*y**3 + 40689*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/199? (a) 0 (b) -1\/12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5 - 3*u**5 - 6*u + 16*u**4 + 8*u**4 + 40*u**2 - 84*u**3 + 156*u = 0.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -739 divided by 104280\nAnswer: -739\/104280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996507 + 3*c**2 - 2*c + 2*c.\nAnswer: 3*c**2 + 1996507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -109, 4 in ascending order.\nAnswer: -109, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5532.808 millilitres?\nAnswer: 5.532808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 169.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*s + s = 118, -3*w - 5*s + 91 = 0. Let a(m) = 8*m + 14*m - 12 - 12*m - 11*m. Let c be a(-21). What is the greatest common divisor of w and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 7317?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:23 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-15)\/(-6))\/(-19 - 675\/(-50))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7077 - -108a?\nAnswer: -5a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a + 3. Suppose -12 = l + 3*l. Is 18 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37512 - 26688 = -24*d. What are the prime factors of d?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(4\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 - 5*p - 5. Let j be w(5). Suppose 2*k = 6*k + j. Let d be (-6 + -3)\/(1\/k). Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*u**2 + 84*u**3 + 118*u**2 - 72*u**2 - 87*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -52e859a?\nAnswer: -52e859e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -177\/122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(-3 + 0 + 2) + (-2 + 1 - 2)*(-1 + 0 + 2))*(2*g**2 - 2*g**2 + g**3).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-11 - 657\/(-54))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than 143028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 33253768?\nAnswer: 99761304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**5 + u**5 - 5*u**5)*(2 - 6 + 2)*(5 - 4 + 2).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 536 - 532. Solve 1 - 3 = 2*x, -x = g*a + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + 28*u**2 - 35*u + 15. Let q be z(4). Solve 3*k + 3*d + q = -15, -k + 5*d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 156 = -5*m, -3*d - m = -6*d - 98. Suppose 187*u - 582 = -7*u. Sort -2, d, u.\nAnswer: d, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/455*5)\/((-126)\/1323)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(363) - sqrt(363)*-1) + -4)**2*2*-1 + 2.\nAnswer: -11686 + 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -14. Let k = -539 + 533. What are the prime factors of (3 - m)\/((-3)\/k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-44) - (-1)\/((-44)\/212). Let b = m + 9. Suppose 4*u - s = -0*s + 504, b*u + 2*s = 492. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506648770*r**2 + 234114*r - 664 wrt r.\nAnswer: 1013297540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:35 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10526 + -4\nAnswer: -10530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 94. Let j(r) = -r**3 + r**2. Let h(y) = -30*y**3 + 10*y**2 - 6*y. Let k(g) = p*h(g) - 10*j(g). What is the second derivative of k(n) wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88800208, -177600413, -266400618, -355200823, -444001028?\n\"Answer: -88800205*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -7\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 319, 1275, 2869, 5101, 7971?\n\"Answer: 319*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 21. Let v be w(-4). What is the third derivative of -12*j**6 - v*j**2 + 18*j**6 + 5*j**6 wrt j?\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -80*y**2 + 2447*y - 17616. What is s(19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*r = -1328*r - 638 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/(-102))\/(2\/6). Let j(d) = d + 1. Let b(c) = 3*c - 1. Determine g*b(y) + 2*j(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/30 - 6*k**2 + 8*k. Let c(j) = -146*j. Determine s(c(p)).\nAnswer: -42632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680443603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.074 + 5.074. Suppose 0 = -2*h + 6, 2*h + 0*h - 11 = -5*r. Let l = 11 + -15. Which is the third smallest value? (a) n (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5589 and 514942515.\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 234700*o - 1173477. Calculate k(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 8236?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431735010 a multiple of 4458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, j: 3}. Give prob of picking 2 b.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -13) + (-2)\/(-1). Let n(v) = 138*v + 14. Let z be n(h). Suppose z = -2*c + 6*c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/49*3\/18*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 18.0000043. What is w rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.357879 and 4.23?\nAnswer: 3.872121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -3)*115\/(-20). Let z = g - -2. Let v = -14 + z. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636 = 63*j + 122*j - 132*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 106940 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8813850 divided by -43850.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22ab49 (base 12) to base 6\nAnswer: 15543333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 11. Let n be w(7). Suppose -n*c + c = -3. Suppose 0 = 2*x, -2*p + 5*x = 2*p - 16. Calculate the greatest common factor of c and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 14. Let f be b(10). Suppose f*r - 37 - 19 = 0. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a**4 - 465*a**2 - 6278*a wrt a.\nAnswer: -108*a**2 - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19403039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*j + 10*j. Calculate the smallest common multiple of j and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.3145 weeks to seconds.\nAnswer: 51598209.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 w, and 1 r when four letters picked without replacement from {p: 4, r: 2, w: 4, v: 5}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 8. Calculate x(-14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -9681\nAnswer: 1\/9681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.647 and -4.8.\nAnswer: -4.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*b + 19*b. Let i(w) be the second derivative of -1\/9*w**4 - 1\/3*w**2 + 0 + 6*w + 5\/18*w**b + 1\/60*w**5. Find k, given that i(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2. Let d(q) be the third derivative of -q**5\/60 + 20*q**2. Determine d(x(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6960 - 7180 = -20*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8648, -8642, -8636, -8630?\n\"Answer: 6*s - 8654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/12)\/15)\/(60\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 divided by -929.\nAnswer: -302\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - -25. Suppose 24 = 3*u - u. Calculate the greatest common factor of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23361817 to the nearest integer?\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -0.2 (b) -1\/30 (c) 41\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3155509996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2459 - 1359. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7422844 nanometers to kilometers.\nAnswer: 0.0000000000007422844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.0085?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-4)\/28 + 3741\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 - -1725 - (2 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (530\/60 + -10)*(-126)\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -997*b + 4991. What is z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 224 = 5*j. Let c = -56 - j. Put -4, 0, c, -1 in decreasing order.\nAnswer: 0, -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/5, 7, -1, -12, 80\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + -20302?\nAnswer: -21103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 - 2332*s - 14*s**2 + 2332*s - 46*s**2 - 10*s**2 - 3*s**2.\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/9 - 4*v**3\/9 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 3038\/893?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q + 7137 = -3*u, -7*u = -7. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -8 = -0*h - 4*h. What is the remainder when m is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/37)*o**(6\/7)*o**(-17)\/o*o**(-2\/7) assuming o is positive.\nAnswer: o**(-4500\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1872)*1 + 0 + -3 - (3 + -4 + (2*sqrt(1872) + sqrt(1872))**2))*3 + -5.\nAnswer: -72*sqrt(13) + 101095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 6*v + 4. Let d be (-1)\/(-2*(-2)\/16). Let j(q) = 2 + 3*q + 2*q + 1 - 2*q**2. Suppose 7*o + 5*o = -9*o + 63. Determine d*j(c) + o*h(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s**2 - 11*s**2 + 11*s**2)*(-37*s - 11*s - 12*s) - s**3 - s**2 + s**2 as h*s + u*s**3 + w*s**2 + z and give u.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-368)\/4 + 0\/(-2). Let q = 26 - a. Suppose -208 - q = -2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 260666502.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 405 - 405. Suppose k = 33*u - 5880 - 15768. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/720 + a**5\/20 - 71*a**4\/24 + 66*a**2. Let b(t) be the second derivative of c(t). Give b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1838286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 145. Sort -1, 5, m, 0 in descending order.\nAnswer: 5, m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(175) + sqrt(7)))\/sqrt(6))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -326160000 to the nearest 1000000.\nAnswer: -326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24493 - -24490. Let z = 6 - 10. Which is the nearest to -2\/3? (a) z (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120512 - -11540?\nAnswer: -104532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -241 - 260. Let r = 243 - w. Suppose 3*g + r = 5*g. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - bb?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69768 divided by 5814?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*v = 692*v - 6*d - 26, -20 = -12*v - 4*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2 (c) -1 (d) -17\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/6 - m**2. Suppose 0 = -6*c + 2*c + 52. Let l(r) = c - 2*r - 13. Give n(l(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4 + 4*v**3 + 82*v**2 + 3*v - 835. What is the second derivative of s(r) wrt r?\nAnswer: -24*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.5 + -30. Let b = p - 20.500187. What is b rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24 and 8471965.6?\nAnswer: 8471941.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72022073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/3)\/2)\/(((-710)\/75)\/(-71)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (19 - (-63 - (-4 - (9 - 12))))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-3\/2)*l*l)**13 assuming l is positive.\nAnswer: l**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -636162?\nAnswer: -636160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, c: 2}. Give prob of picking 1 c and 2 o.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*l + l - 25, 2*b = 4*l - 20. Suppose b*o - 191 = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, 4, -47, 0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = 0, 5*q = 5*w - w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 - 16*i + 64 = 0. What is i?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1003*18.1\nAnswer: 18154.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*3*140\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -947298\/107 + 8854. Is 0 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 3*v**2 + 891*v - 445*v - 446*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from hggmgghghsfgggfghg.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:58 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1134 + -1134.1. What is the nearest to x in 4, 4\/5, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p + 2294 = 104*p. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15875975, 15875974, 15875973, 15875972, 15875971?\nAnswer: 15875970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3321)\/(-54)*(-2)\/18 and 1\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 7. Let g be r(0). Suppose 2*o + g = 5*o + f, 0 = -5*f - 10. Suppose -92 = -l - 4*s, -3*l + 234 = o*s - 5*s. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 37. Let d = -22 + i. Is d not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72.3? (a) -103 (b) 3\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 - 18*v**4 + 4*v**3 + 2*v**3 + 21*v**4.\nAnswer: -3*v**3*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 + 159 - (21 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -305, -849, -1655?\n\"Answer: -131*t**2 + 111*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11965052.7 milliseconds in days?\nAnswer: 0.13848440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 10*t**2 - 5*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 367780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 1.1. Sort 0.11, 3, i in decreasing order.\nAnswer: 3, i, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*j + 377*j - 188*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 383, 689, 1145?\n\"Answer: 75*j**2 - 69*j + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2 (b) -0.5 (c) -3\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194608 is divided by 4134.\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4309 + 4313. Let k(s) = 2*s - 8. Let q(b) be the first derivative of -b**2\/2 + 8*b - 1. Let t(d) = o*k(d) + 5*q(d). Calculate t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(5 - (6 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15144)\/(-17668))\/((-8)\/(16\/(-4))*(-1)\/182).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, 0, -4, 1, -69, -72 in decreasing order.\nAnswer: 29, 1, 0, -2, -4, -69, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 824000000 to the nearest 1000000.\nAnswer: 824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182776312 = -3*k - 5*u + 199633693, -5*u = -2*k + 254939995. Round k to the nearest 1000000.\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17482881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 + 9*t**2 + 6*t = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -665 and -664 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**10\/420 + b**6\/18 - 5*b**3\/2 - 5*b**2. Let n(o) be the first derivative of p(o). Find the third derivative of n(c) wrt c.\nAnswer: 1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i + 17. Let w(r) = 45*r + 96. Let q(f) = -34*u(f) + 6*w(f). Let v(t) = -2*t + 5. Let z be v(4). Let k(s) = -4*s - 5. Calculate z*k(d) + 7*q(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c - 2. Suppose -p - 4*t + 60 = 14, 2*t = -4*p + 254. Let y = -62 + p. Suppose f - 2*d - 14 = -7*d, -2*f + y*d - 28 = 0. Give g(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2, 28.2, -5, 30, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/21 (c) 40 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 1}. What is prob of sequence ddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 4. Let m be 1 + -2*9\/(-6). Let r(c) = c + 3. Determine m*o(b) + 6*r(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13962.995258 + 13963. What is p rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 12863 = 13318 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -11. Suppose -j = 2*a - 8, -4*a + p*a = j - 8. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a**3 - 14*a. Let c be 0\/2 - ((-110)\/5)\/(-2). Let k(i) = 5*i**3 + 5*i. Determine c*k(r) - 4*f(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 64*w + 8. Let c be r(0). Solve -c - 36 = -11*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - (28 - 19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 34*l**2\/11 - 46*l\/11 + 12\/11 = 0.\nAnswer: 6\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)*t**(4\/5))\/(t*t*t*t\/(t*t*((t\/(((t\/t**(-1\/78))\/t)\/t)*t*t)\/t)\/t)*t**(-30\/13)) assuming t is positive.\nAnswer: t**(1267\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 0 (c) 2\/9 (d) 5\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1790749\nAnswer: -537224.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203204 (base 6) to base 13.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1176)\/33)\/4)\/((-316008)\/(-2178) - 145)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*h + 16, -3*h + 4*h = -5*d - 25. What is the common denominator of 46\/(-161) - 1\/(14\/(-634)) and (51\/d)\/(3\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 5*p, 0 = 3*p - 5*o + 4*o + 11. Let i be (-5984)\/(-2464) + (24\/(-21))\/(-2). Sort 7, i, p.\nAnswer: p, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123232430 (base 5) to base 3.\nAnswer: -1010121010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 44\/(-12))*(-45)\/(-12). Suppose -4782 = -w*l + 4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17087425 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: Suppose -5 = -5*s + 20. Suppose s*l - 96 = 3*l. Let c = l - 34. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 9\/(-15))*5. Suppose 158 = l*y - 2*r, -5*y + 269 + 135 = -2*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + u + 0*u)*(1 - 1 - 2*u) + 1 - 1 + u**2 + 7*u**2 - 20*u**2 + 5*u**2)*(-10*u - 21*u + 2 + u).\nAnswer: 150*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75853 - 1?\nAnswer: 75852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 222*c**2 + 106*c**2 + 104*c**2.\nAnswer: -12*c**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from biogsoogggivvoooo.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32227.\nAnswer: 13, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -61.4. Let m = -14 - -12. Suppose 0 = -5*f + 3*f + 2*y - 14, -2*f - 5*y + 14 = 0. What is the third smallest value in 0.5, f, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122187749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11362 (base 7) to base 3\nAnswer: -11000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243421 - -312?\nAnswer: -243104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*x**3 - 61*x**3 - x + x + 36 - 65*x**3 - 204*x**3.\nAnswer: 2*x**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1418 in increasing order.\nAnswer: -1418, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 79 (b) 0 (c) -2 (d) -3 (e) 48.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0394205934 rounded to 5 decimal places?\nAnswer: 0.03942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24898829143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495047 is divided by 164990?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1363\/(-799))\/((-49)\/(-833))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23033 + 23037. Let x(y) be the first derivative of 3 + y - 1\/2*y**2 - 1\/2*y**n + 0*y**3. Give x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ieieeieiieeeee?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2. Let d(x) = x**2 - 2*x + 1. Let w(i) = 9*i**2 - 12*i + 6. Let h(g) = -6*d(g) + w(g). Give h(z(r)).\nAnswer: 432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26894596*y**3 + 118148001716*y**2 - 182256800*y + 70288.\nAnswer: -4*(y - 4393)*(2593*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11140 (base 6) to base 14\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2268388.\nAnswer: 1\/567097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -138*(-3737)\/(-5994).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w. Let q(b) = 4*b**2 - 16*b**2 + 2*b**2 + 7*b**2. Calculate q(h(i)).\nAnswer: -675*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -702.47, 4, 0.285 in decreasing order.\nAnswer: 4, 0.285, -702.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*m = -4, 3*m - 6 = -184*c + 181*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 23*y**2 - 9*y + 11. Is a(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 261*i - 4564. Determine a(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.572984kg to nanograms.\nAnswer: 1572984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(((-1)\/(-10))\/1*10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -68. Suppose 0 = -0*r + m*r - 4. Factor -133*y + 0*y**r + 133*y - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*c - 21, 35*c - 57 = 31*c - 3*y. Calculate the greatest common divisor of c and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48085 and 0.4.\nAnswer: -48084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**2 + 42493 - 2*s - 13*s**3 - 42491 - s**3 + 60*s**2 in the form f + g*s**2 + t*s**3 + u*s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 436334436 to the power of 1\/2, to the nearest integer?\nAnswer: 20889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8003554 or 8003551?\nAnswer: 8003551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6597798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -403 - -874. List the prime factors of z.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331122 + -340?\nAnswer: 330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22730020151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 2*s + 2. Let i be z(-4). Let y be 6\/(-5)*i\/(-3). Suppose 3*o - 27 = y*r, -r = -4*o - 6*r + 36. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 296, 593, 890?\n\"Answer: 297*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, 466, -271.\nAnswer: -271, -268, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttpttpt. Give prob of picking 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4250*c**3 - 84946 + 84946.\nAnswer: -4250*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3699 - -3699.4. What is the closest to f in 3, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2491 + -2454. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = d + 24. Suppose -5*f = d - 55. Solve 0 = 2*q + 2*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-86)\/4)*-4. Let t be (-2)\/(-3)*(-54)\/(-90)*-215. Let h = t - b. What is the lowest common multiple of h and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13356.179737096+-7\nAnswer: -13363.179737096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4 + 96. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - 3*d**3 + 21*d**2\/2 - 8*d - 5. Let v be r(-11). Solve 1 = -4*a - 5*l, v*l = a + 2 - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*r + 18 = u, 3*u + 2*r - 2 = 0. Suppose 0 = m - 6*m + 640. Suppose y = 3, -v = u*y + m - 492. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + c**4\/24 + 5*c**3\/6 + c**2. Let m be k(0). Suppose -8 - 17 = -m*b. Solve 2*u - 1 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -8 + 3 + (-118 - -112) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-8)\/(-1))\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -656, -573, -490?\n\"Answer: 83*f - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 11*p + 19. Let z be a(8). Suppose 3*i + 7 = 4*r, -2*r + 3*i + 1 = -4. Let y = 0.09 + -1.09. What is the nearest to r in z, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*v + 161*v + 797544 = 0. What is the highest common divisor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -3 + 1 + 6*(-3 + 4 + sqrt(125) + 4)**2.\nAnswer: 300*sqrt(5) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpy when three letters picked without replacement from mxnypmf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6196542 minus -0.06?\nAnswer: -6196541.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301 - 1?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c - 20. Let s = 2 + c. Let a(r) = -3*r - 2. Determine a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -29. What is the lowest common multiple of n and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423350 (base 6) in base 7?\nAnswer: 455361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.03, 20, -3\/4, 0.5.\nAnswer: -3\/4, 0.03, 0.5, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/15)\/(-7))\/((270\/324)\/(550\/8))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74\/3071 - (-2320146)\/1494 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -71\/1239 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/((-25)\/(-44)))\/((-2)\/5). What is the greatest common factor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, r: 2, l: 2}. What is prob of picking 2 l and 2 r?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 n when four letters picked without replacement from {c: 4, l: 1, m: 2, v: 3, n: 3, t: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*l + 18, 11 = -5*l + 2*c - 6*c. Sort -2, l, 5 in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 10. Let x(b) = -b**2 + 12*b - 1. Let t be x(p). Solve 3*f + 2*v = -4, -3*v = f - t + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3388*a + a**3 + 6732*a + 6*a**2 - 3351*a - 4. Let o be (-1)\/(-2) - 120\/16. What is l(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1000?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 0.052, 5, 2, 0, 0.0326?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33677 and -2.1.\nAnswer: -70721.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -109044 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5927905, -5927904, -5927901, -5927896, -5927889?\nAnswer: -5927880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - 4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -33.66. Let r = -0.66 - t. What is the closest to r in -3\/4, 3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 117 (b) -29.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1014, 3154, 5294, 7434?\n\"Answer: 2140*c - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - a6b?\nAnswer: -a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -741 (c) -2 (d) 0.4 (e) -0.4 (f) 5 (g) 0.154\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 22 + 44 = 0. Let z = 76 - u. Let v = z - 22. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 58*m. Let s(p) = 4*p**2 - 160. Determine r(s(j)).\nAnswer: 232*j**2 - 9280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.6711 centuries to months.\nAnswer: 809605.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7481 greater than or equal to 396529\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8120.48 to the nearest 10.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24945048+-16\nAnswer: -24945064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5506849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*((y\/y**(-3))\/y)\/y)\/y)\/y**0)\/(y\/(y*y**(-3)\/y)*y*y**(-1\/9)))\/((y\/(y\/(y\/y**1)))**(-44))**28 assuming y is positive.\nAnswer: y**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 13) + 15 + (0 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 9. Let x(a) = 7 + 10*a**2 - m. Let o(t) = -t. Give x(o(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -462, -317?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, 3, 261, -16, 4, -1.\nAnswer: -25, -16, -1, 0, 3, 4, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - -102325?\nAnswer: 102226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 189 = -3*h, -2*h = 3*m + 206 - 65. Let z = m + 57. Solve -3*v + 0*v + z = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 5*z + 14*z - 5*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.015 + 39.015. Let j = 124837303 - 124837263.99999855. Let b = j - a. Round b to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1978809\/1042 at most -1898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1170, -3, 56, 31, 5.\nAnswer: -3, 5, 31, 56, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/5 (b) 0.2 (c) -0.5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -15)*4\/(-18). What is the smallest value in 0, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fflf when four letters picked without replacement from {y: 11, d: 3, l: 1, f: 5}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)\/v*v**(-3\/10) assuming v is positive.\nAnswer: v**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2 - 7*c - 1. Let b be y(-5). Is b\/(-2) - (-1)\/(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709674 divided by 3?\nAnswer: 2709674\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2329? (a) -0.5 (b) -3 (c) 1 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2 + ((-961384)\/(-240348))\/(-2)). Let a = s + 199826. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 8*b + 8. Let u = 11 - 19. What are the prime factors of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p + 3*r, -18 = -4*p + 9*r - 7*r. Solve -23 = -3*t + p*d, 8 = 4*t + 2*d + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10395, 10492, 10599, 10722, 10867, 11040?\nAnswer: 11247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 6 - 18. Suppose z*x + 36 = 14*x. Let t = 44 + -24. What is the least common multiple of t and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = 5*z, 4 = 4*b - 0. Let n = 5 + z. Let w(a) = a**2 - 6*a - 1. What is w(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 64.928.\nAnswer: -1.29856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 98*f + 53*f + 47*f.\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -13*q**2\/2 - 6*q - 12. Differentiate r(w) wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(40\/6) + 45\/20. Let t(i) = -r*i + 42*i**2 - 21*i**2 + 11*i + 5 - 20*i**2. Calculate t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 70.93268ml?\nAnswer: 0.07093268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/3)\/(12\/18). Let c be 76\/133 - (-1 - 80\/7). Suppose -w*r = -c*r. Sort -4, -2, r in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7048595?\nAnswer: 5, 29, 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*f - 36. Let b = f - 21. Let a(g) = -g**2 - 3*g + 130. Calculate the remainder when a(-11) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/504 - (-2)\/528*2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-105))\/(((-32)\/448)\/(-1))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8244 divided by -6?\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -214\/9 - 2\/9*k**5 - 868\/9*k**3 - 1292\/9*k**2 - 74\/3*k**4 - 286\/3*k = 0.\nAnswer: -107, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01749 and 3086.2?\nAnswer: 3086.21749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 3*x + 11 + 1\/12*x**4 - 1\/6*x**3 - 3\/2*x**2. Calculate v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/3)\/(-1 + 2). Let n = x - -5. Factor -5 - 6*t + 2*t**2 + 9 + 0*t**n.\nAnswer: 2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12957, -12965, -12975, -12987, -13001, -13017, -13035?\n\"Answer: -k**2 - 5*k - 12951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1500, 2991, 4484, 5979, 7476?\nAnswer: 8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3236 by -3236.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1 - (4 + -2)). Let w(u) = -u**3 + 11*u**2 + 2*u - 5. Calculate the remainder when ((-1)\/a)\/((-3)\/(-87)) is divided by w(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y**(1\/6)*((y\/(((y*y**0*y)\/y)\/y))\/y)**(-5\/4))\/(((y\/((y\/(y*y**(-13)*y*y))\/y))\/y)\/(y\/(y*y**(-1\/3))))**(-46) assuming y is positive.\nAnswer: y**(-14267\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -21*m**4 + 6*m**2 - 9*m - 9. Let i(a) = 10*a**4 - 3*a**2 + 4*a + 4. Let n(h) = -9*i(h) - 4*k(h). Find the third derivative of n(w) wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let k be ((-6)\/85)\/((-1)\/d). Suppose 4*h + 3*u + 12 = 0, -3*h + 0*u = -3*u - 12. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62.6 + 62. Let b = -0.17 - 2.43. Let f = b - q. Is 5 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-12 + 6) - (-1 + 4). Let s(v) be the first derivative of n + 0*v**2 + 0*v**4 - 2\/7*v - 2\/35*v**5 + 4\/21*v**3. Suppose s(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 244\/(-64)) + -2. Let d = -1\/80 + w. Let q = 0.0592 - 0.0592. Which is the nearest to q? (a) -3 (b) d (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**5 + 51468*i**4 - 154452*i**3 - 154412*i**2 + 360384*i + 308880 = 0.\nAnswer: -12870, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/10, -18, 0.6, 0.1, 7, 2, -2\/7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 116. Which is the closest to q? (a) -5 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**5\/10 + 5*i**4\/12 + 5*i. Find the third derivative of b(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3425718 by 1712859.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 5. Let z be y(5). Let s be z + 2 - (-1 - 1). What are the prime factors of s\/10 - (-26)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -683*k**6 + k**5 - 2*k**4 - 3*k**2 + k + 296.\nAnswer: -81960*k**3 + 60*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189\/4 + 97\/2. What is the common denominator of 53\/876 and m?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15114121 (base 7) to base 11\nAnswer: 899231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119.9 - 120. Let n = 0.6 + -4.6. Which is the closest to -1? (a) s (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 187*c**2 + 333*c - 3163. Let s be p(9). What is the greatest common factor of 422 and s?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-3))\/(20\/(-165)). Let c = -175\/4 - l. What is the common denominator of (-6)\/3*(-6)\/64 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 + 38560*c - 961500 = 0?\nAnswer: 25, 9615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {v: 12, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aehh when four letters picked without replacement from lhahuhehuhlehl.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(4 + ((sqrt(209) + -2*sqrt(209) - sqrt(209))*1)\/(sqrt(1584)*1) + 4)*5.\nAnswer: -1200 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 18588 = -18768 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 761313475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 19*a + 9. Let l be k(15). Let z = l - 19. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-2*sqrt(76) - sqrt(76)) + 1)**2 + -1 + sqrt(76) + -1)*-4.\nAnswer: -2735 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 30104.\nAnswer: 11\/30104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 2*y**2 + 5*y**3 + 5*y**4 + 0*y**4 - 2*y - 6*y**4 to h*y**4 + x*y + s*y**3 + b + z*y**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6751391.45 to the nearest ten thousand.\nAnswer: 6750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*o + 676*o - 1710 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -62 (b) 0.1 (c) -4 (d) 3\/13 (e) 1\/3 (f) 350 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 12. Let x = 7 - h. Calculate the remainder when 49 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25653, 25655, 25657, 25659, 25661, 25663?\n\"Answer: 2*x + 25651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*40\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 0*m + m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5079712?\nAnswer: 2, 11, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5673 - -2726. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/9 - 7\/9*l**3 - 7\/9*l**2 + 2*l + 1\/9*l**5 + 1\/3*l**4 = 0 for l.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -140222308*m**3 - 193393591?\nAnswer: -420666924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2908, 2905, 2902, 2899?\n\"Answer: -3*r + 2911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t. Let j(g) = 16*g. Let s be (-73)\/7 - 16\/28. Determine s*o(y) - 2*j(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 339 - (-3 - (-5)\/(-10))\/((-8)\/16).\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c**2 - 1156*c + 6780. Let w(v) = 3*v**2 - 210*v + 1233. Let b(x) = 5*f(x) - 28*w(x). Factor b(a).\nAnswer: -4*(a - 13)*(a - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 28. Suppose -25 = 5*p, 0 = m*z + 4*p - 16. Calculate the lowest common multiple of 11 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3604 + 7180 - 3576 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 + (-4)\/6. Let s = 302381 - 302384. Which is the nearest to s? (a) -3 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (((-6)\/(-16))\/(-1) + 5580\/(-992))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 1376 in increasing order.\nAnswer: -7, 1, 1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-10) + 4)\/(-5)*(-8)\/(-2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.66 + -14.735. Let p = 11 + n. What is p rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + sqrt(180) + -1 + sqrt(180))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3442 + 588 = -o + 1119. Solve -3975*l + o*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1903265 (base 10) to base 6.\nAnswer: 104443225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*(m*m*m*m\/m**15)\/m)\/m)*m*m**(1\/10)*(m\/(m\/m**3))**20 assuming m is positive.\nAnswer: m**(741\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 656691*s**4 - 2582*s**2 + 10*s - 1.\nAnswer: 15760584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52010 divided by 10402.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6224.2551 rounded to 0 dps?\nAnswer: 6224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(2*c**3 + 1 - 1 + (-2 + 3 + 4)*(5*c**3 - c**3 - 3*c**3)) - c**3 - 1 + 1 as n*c + w + t*c**3 + d*c**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 207. Let x = -12 + y. Let r = 51 - x. Sort -3, r, -4 in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181.86 - -258.845. Let l = f - 77. Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1135798*k**2 - k + 1 - 5*k - 1135796*k**2. What is t(-4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3709 is divided by 500?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 13) to base 5.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + ((-4)\/(-1))\/1. Let v(o) = o + 3. Let m be v(-3). Let a = f + m. Solve -a - 11 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/7, -1\/8, 2, 1\/4, 84796, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13395 - -18815. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0727732007 to 3 decimal places.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -617511, 0, -51 in increasing order.\nAnswer: -617511, -51, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030470 divided by 77?\nAnswer: -147210\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21475 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icp when three letters picked without replacement from {c: 1, p: 1, l: 1, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**5*o**(-16)*(o*o\/o**(-2\/13))\/(((o*o\/o**(-12)*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 222, -3, 0.5, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 924?\nAnswer: -923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.4, 4, 111, 2 in decreasing order.\nAnswer: 111, 4, 2, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 55*b - 1581. What is the remainder when 490 is divided by n(-78)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2043410 + 3?\nAnswer: -2043402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 3*w**2 + 4*w - 4. Suppose 2*k + 4*z + 4 = -2*k, 0 = 2*k + 4*z + 10. Suppose 0*q = -k*p - 3*q + 21, 2*p = -5*q + 26. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965283 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4 + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + c + 9, 0 = 5*q - c - 27. Suppose 5*b - 85 = -2*k, -14*k + 11*k = 2*b - 34. What is the remainder when b is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-2 + 2*h + 2) + 0*h - 5*h + 3*h + (-2 + 1 + 2)*(2*h - h - 4*h) + (-1 - h + 1)*(5 + 0 - 4).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 46*g**2 + 7048*g + 596. Calculate w(72).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227 - 352. Let q = -95 - l. Suppose -4*z + q = k, 3*k - 5*k - 3 = -z. Calculate the greatest common factor of 63 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -100*l + 31. Let o(q) = -100*q + 31. Let r(a) = 3*o(a) - 4*p(a). Find the first derivative of r(x) wrt x.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouij when four letters picked without replacement from jmmioufuo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {z: 2, i: 1, m: 3, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.108 + -12.1. Let p = n + -0.008. Let o = -2.1 + 2. What is the closest to o in 3, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k - 100 = 0. Let t(z) = z**3 - 6*z**2 + z - 4. Let a be t(6). Suppose 2*n + a*r = -k + 48, 5*r - 28 = -2*n. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811477 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108904669.\nAnswer: 353, 3141373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -11\/60*t**5 + 0 + 1\/3*t**3 + 0*t**4 + 0*t + 18*t**2. What is the first derivative of n(h) wrt h?\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 - 0 - (-62 - -70) - -6) + 67 + -57.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 536.877 from -0.5.\nAnswer: -537.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259779 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 147, 221, 295, 369, 443?\n\"Answer: 74*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25029033534726 - -23?\nAnswer: -25029033534703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2*(1 - 0)). Put 5, -4, a in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -331, -320, -309, -298, -287?\n\"Answer: 11*k - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 25, -3, -53, -131, -243, -395, -593?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*m - 38*m + 5*m)*(4*m**2 - 2*m**2 + 2*m**2 + (-2*m - 4*m + 4*m)*(0 + 0 - 2*m) + m**2 + 2*m**2 - 2*m**2).\nAnswer: -612*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/272 and 41\/520?\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 13. Let r be w(13). Let q(d) = -d + 4. Let i be q(r). Solve 0 = -i*v + 3*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.501819 rounded to 1 dp?\nAnswer: -122.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v = 47*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 12) in base 5?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2806*h*k**2*s*y**2 + 2*h*k*s*y - 2*k**2*s*y - 4*k**2*y - k*s*y**2 + 92*s wrt h?\nAnswer: 2806*k**2*s*y**2 + 2*k*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 1\/6, -2\/9, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:35 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002634 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 108*o**2 - o + 10. Let k = -57 - -61. Suppose 4*j + j + 5 = 2*c, 5*j + 15 = k*c. Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*k = 35, z - 5*k + 73 = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 3, o: 4, b: 3, z: 2, v: 6}. Give prob of sequence zj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4594*d**2 - 639*d**2 - 815*d**2.\nAnswer: -6048*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(20\/4) - (4 - 73725) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.7. Let y = 90 + -85. What is the second biggest value in -2, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/((696\/160)\/29)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 796593, 796583, 796573?\n\"Answer: -10*v + 796603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001098048 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**3 - 18*s**3 + 26*s + 51*s**3 - 21*s**3 - 4 - s**2 as f*s + h + d*s**2 + m*s**3 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -6088 and -0.04.\nAnswer: -6088.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -14*h**2 - 10*h**4 + 20*h**4 - 11*h**4 + 16*h. Find the first derivative of g(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232133749.\nAnswer: 232133749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500283 and 1701?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149994 less than or equal to 149993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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 third root of 24030 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000025997 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 - 2*r - 1. Determine h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0 - 12, -5*n + 1 = 3*u. Solve 0 = 3*x + 3, -n + 4 = q + x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 5. Let s(f) = -6. Let l(i) = -4*b(i) - 3*s(i). Let w = 83 + 12. Let k = w - 92. What is l(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 23282?\nAnswer: 23281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552710591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 9*l + 11. Let d be j(-8). Suppose -d = -5*g - 75. Let w = g + -37. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m + 2. Calculate k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65733558 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89253?\nAnswer: 3, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975605, 975888, 976361, 977024, 977877, 978920?\nAnswer: 980153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*n - 2*n, 0 = -3*y - 2*n - 12880. Let g be y\/(-102) - 2\/17. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34609 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: What is the closest to 67 in 34\/5, -4, -3, -5.4?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, l: 4, x: 4, q: 2}. Give prob of sequence ggg.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64.6 + 64.600000658. What is t rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**3 + 3. Let h = 229 + -226. Let q(g) = -3*g**3 - 5*g**h + 14 - 26*g**3. Calculate -14*l(z) + 3*q(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3880 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51980 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24067 and 345589.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1 = -9, 83*m - 86*m + 124 = -4*c for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g - 75 + 75)*(7*g**4 + 0*g**4 - 3*g**4) + 2 - 2 - g**5.\nAnswer: -73*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 706744508 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d - 14, 3*w = 5*d - 5. Let l = -3 + w. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdbdbdbbb. Give prob of sequence bddb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.78 + 12. Let c = u - 0.2199833. Round c to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 659 + 137*f - 137*f.\nAnswer: -2*f**2 + 659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (548\/2055*(-10)\/4*1)\/(2\/177)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-694)\/1041 - (-84)\/54?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*i**3 - 13*i**3 - 148*i**3.\nAnswer: -235*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 383697?\nAnswer: 767394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i - 85*i - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 2*o - 4. Let c be n(-1). Suppose -4*z = 2*f - 10, -3*f = -3*z + 2*z + 6. Let g be (0 - 2*f) + 2. Solve -c*h = 2*h + g, 2*s - 5 = 3*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24234097 is divided by 239.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35348, -35351, -35354, -35357, -35360?\n\"Answer: -3*o - 35345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + w**4 - 3)*(-2 + 4 + 10) to the form v + i*w**4 + a*w + t*w**3 + u*w**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 - (-669 - (12 - (-2 + 9))) is divided by 678.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 24 = -3*h, -116 = 5*d + 2*h - 89 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfa when three letters picked without replacement from asgaaggggggggfg?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140267652 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 312021200 (base 4) in base 3?\nAnswer: 102021020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v + 11. Calculate o(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*108\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/3)\/a*a\/((a\/(a\/(a\/(a\/(a**(-5\/4)\/a)))))\/a) assuming a is positive.\nAnswer: a**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 - 126. Calculate the smallest common multiple of 40 and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 171.4. Which is the closest to 0.1? (a) o (b) 28 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170562 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 156, -0.5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-18)*(v*v**(8\/7)\/v)\/v*v assuming v is positive.\nAnswer: v**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/78 - 284*t**3\/39 + 564*t**2\/13 + 526*t. Solve d(l) = 0.\nAnswer: 2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/19024611?\nAnswer: 11\/19024611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -0.18, 3, -0.4, -4, 226?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99764 is divided by 19950.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-17)*(-71400)\/(-4200).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3599 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - 8*l**4 + 5 + 9*l**4)*(-1 + 2*l + 1).\nAnswer: 6*l**5 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from vzzqmezzevmmzve.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1804039 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 5151*z\/4 - 5147.\nAnswer: -(z + 4)*(z + 5147)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -1\/7, -2\/41, 0 in increasing order.\nAnswer: -1\/7, -2\/41, 0, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 112404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1700) + 2))**2*3.\nAnswer: 2160*sqrt(17) + 183708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -375709 and -0.3.\nAnswer: 112712.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - (36\/(-3))\/24. Let h be o\/(-3 + (-12)\/4 - -4). Solve 2*x + 2*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)*t)\/t**(-6) assuming t is positive.\nAnswer: t**(145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.2 minus 3?\nAnswer: 126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 3*a - 11 = 0, -25 = -5*m + 5*a. Let i(o) = 3*o + 3*o - 4*o + o**m - 3*o. Let s be i(-1). Solve -14 = -s*d + 4*w, -5*w + 1 = -5*d - 4*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - 3*(sqrt(1900) - -1*sqrt(1900)))**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -0 - 70. Let k(w) = w**3 - 3*w**2 + 10*w**2 - 49*w + 47*w - 9. Let x be k(-7). Solve x*j + 3 = 23, j = q*s + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -70*k - 32. What is the remainder when 141 is divided by v(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - ((sqrt(612) + 0 - sqrt(612)) + 0 - sqrt(612)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 - -281. Let d(n) = -23*n**3 + 13*n**2 - 13. Let s be (0 - -1)\/(12\/(-156)). Let v(u) = -11*u**3 + 6*u**2 - 6. Give q*d(x) + s*v(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 1\/12*i**3 + 4*i**2 + 0*i - 1\/720*i**6 + 1\/144*i**4 + 0 - 1\/120*i**5. Suppose c(m) = 0. What is m?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022022022022 + -2?\nAnswer: -2022022022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. Let m(h) = -7*h - 54. Let r be m(-8). What is the nearest to r in i, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = 2*d, 0 = -j - 5*d + 13. Is (j + 9)\/(-5 - 14664\/(-2932)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -11*s + 30. Calculate the greatest common divisor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/5 - 287*t**4\/5 + 27144*t**3\/5 - 893592*t**2\/5 + 735696*t + 4599504\/5 = 0 for t.\nAnswer: -1, 6, 78, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-297*n + 34 + 470*n - 152*n)*(-n**3 + 3*n**3 - n**3).\nAnswer: 21*n**4 + 34*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*d = -99*d - 5408. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let v = -37 - -93. Let j be ((-1)\/r)\/((-63)\/v). What is the closest to 0.1 in -4, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 + 1280*k**4 + 10665*k**3 - 114390*k**2 - 800280*k = 0.\nAnswer: -247, -12, -6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l)**(-32) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538349 to the power of 1\/2, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 13. Suppose 3*j - 8912 = u*h - 1901, -j + 2329 = h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*w - 10, -10600*y + 10614*y + 4*w = -30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*y**3 - 30*y**4 + 199*y**3)*(-2 + 2 - 7).\nAnswer: 210*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1695*a**3 + 10*a**2 + 5*a - 1463. Let q(t) = 2542*t**3 - 16*t**2 - 8*t + 2194. Let r(p) = 8*m(p) + 5*q(p). Differentiate r(z) with respect to z.\nAnswer: -2550*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c405c (base 15) in base 6?\nAnswer: -21151223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-12)*33\/(-22). Sort -5, 0, u in increasing order.\nAnswer: u, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4*sqrt(275) + -5)*5 - 2*(sqrt(275) + (-4 + sqrt(275))*6)))**2.\nAnswer: 1620*sqrt(11) + 10629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 4*g = 16. Let n(t) = -t**2 + 14*t - 39. Let o be n(8). Solve -17 = 3*b + 4*l, g*l - o = -4*b + 3*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745909891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82077, 656631, 2216155, 5253141, 10260081, 17729467, 28153791?\nAnswer: 42025545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1288, 1266, 1244, 1222?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -5*r**7\/42 + 3*r**6\/2 + 33*r**5\/4 - 1085*r**4\/12 - 680*r**3 - 1440*r**2 - 15*r + 68. Suppose x(z) = 0. What is z?\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2\/3*y + 7\/3*y**2 - 3*y**4 - 18\/5*y**5 + 3*y**6 + 20\/9*y**3 + 49. What is c in h(c) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 889\/9 + 3 + (-12)\/(-54). Let d be (-34)\/o - ((-3704)\/(-2226) + -2). Is 0 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-2)\/38)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Determine h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, -2\/3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1997151118 and 0.\nAnswer: 1997151118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/11)\/i)\/(i\/(i*i**(-5))))**32 assuming i is positive.\nAnswer: i**(-2304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 + i + i - i - 2. Let n be c(7). Solve 3*g - 9 = -n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26662646 and 838.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23532 + -23532.016961. Let d = k + 0.017. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.8*-0.14.\nAnswer: -2.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5480 and 97\/5536.\nAnswer: 3792160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 15. Determine f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14148843120 by 6.\nAnswer: -2358140520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 42) + (21 - 15) - -13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172\/69 - 42\/23. Let j(v) be the third derivative of -m*v**3 + 0*v + 0*v**5 + 0 - 5*v**2 + 0*v**4 - 1\/24*v**6. What is the derivative of j(r) wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*r + w, -r + 34*w = 29*w + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:14 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:13 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 536?\nAnswer: 1\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, 21 in decreasing order.\nAnswer: 21, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10101110230 + -31?\nAnswer: -10101110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 112, 164, 242, 352, 500, 692, 934?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, l: 2, p: 7}. Give prob of picking 1 l, 1 p, and 1 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1846\/156 + (-1 - 7\/(-6)). Suppose -4320 - 3912 = -v*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15376034 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, i: 10}. Give prob of sequence iii.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m + 0*m + 22*m + 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 314047309 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/7 - 188*l**3\/7 - 366*l**2\/7 + 188*l\/7 + 368\/7 = 0.\nAnswer: -92, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-32)*2)\/(((-6006)\/(-2200))\/91).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403115371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Let n be (-126)\/(-35) + 2\/f. Let -30*w**3 - 133*w**n + 246*w**4 - 28*w**2 - 8*w - 122*w**4 = 0. Calculate w.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211 + -173. Let v = x + -37. Which is the nearest to 2\/9? (a) 5\/2 (b) v (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 6*n + 5. Let s(m) = -3*m**2 + 3*m - 3. Let h = 90 - 87. Let a(p) = 6*p**2 - p. Let u be a(1). Let g(c) = h*v(c) + u*s(c). Factor g(i).\nAnswer: 3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (30 - (-22 + 35 - 19)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9193376 is divided by 1838672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148132153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 232*t**3 - 22*t**3 + 33*t**3 + 84.\nAnswer: 243*t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 72, 107, 142?\n\"Answer: 35*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*w**5 + 80*w**4*z**3 - 3*w**2 - 179*w*z**2 - 2*z**3 - 4*z wrt w?\nAnswer: 5760*w**2 + 1920*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52810, 52783, 52740, 52681, 52606, 52515?\n\"Answer: -8*s**2 - 3*s + 52821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -578eca (base 16) in base 4?\nAnswer: -111320323022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/4))**(-6)*((((x*(x*x\/x**(-1\/3))\/x)\/x*x)\/x*x)\/x)\/x**(4\/13) assuming x is positive.\nAnswer: x**(-271\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**8\/336 - 3*y**7\/70 - 17*y**5\/20 + 18*y**2. What is the third derivative of d(n) wrt n?\nAnswer: -60*n**2 - 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-1) + (-2 - -5). Suppose -2*t = 3*f - 59, 3*f - 2*t - j = t. What is the remainder when 67 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*b - 48854, 97391 = 3*o - b + 24105. What is the greatest common divisor of 51 and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 9\/(-108). Let z(s) be the second derivative of s - 5\/2*s**2 + 0 - q*s**3. Determine z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1088605.78?\nAnswer: 4354423.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 16) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -2398, 4, -30 in decreasing order.\nAnswer: 4, 3, 2, -5, -30, -2398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from mmmmdmdmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) 1\/5 (c) -6.6 (d) -0.7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w**(-1\/8)*w)*w*w*w**27*w*(w**(6\/13))**(4\/3) assuming w is positive.\nAnswer: w**(3197\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 33495135\nAnswer: 3\/11165045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*z + 18, 5*z - 33 = -0*y + y. Factor 2 + d**3 + 3*d**3 + z*d - 2*d**3 + 0*d**3 + 6*d**2.\nAnswer: 2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusususuusssusussssu. Give prob of picking 2 s.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 310913 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813180767.\nAnswer: 3, 193, 461, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-3)*48\/64)\/(2\/(-4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34499, -34443, -34357, -34247, -34119, -33979, -33833, -33687?\nAnswer: -33547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 456300100 to the nearest 1000000.\nAnswer: 456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35\/2 + -16. Which is the second biggest value? (a) -0.2 (b) 3 (c) 0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkckkzkkk. Give prob of picking 1 c and 1 k.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 1 (c) 0.15 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + (3 - 2) + (-20 + 24 - -19)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 95125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 3*v**2 - 3*v - 2*v**4 + 11*v + v**2 as c + q*v**4 + z*v**3 + s*v**2 + u*v and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -538268*w - 11. Let x(s) = 2*s**2. Calculate t(x(a)).\nAnswer: -1076536*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.616 + 0.116. Sort 90, -2, l in increasing order.\nAnswer: -2, l, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1832612 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422470.\nAnswer: 2, 5, 83, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205824 and 143184896.\nAnswer: 429554688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 5 + 6*f**2 - 7*f**2 + 1 + 0*f**2. Calculate y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose y - x - 17 = -3*y, -5*x - 34 = -l*y. Let z be (-4)\/(-2) + (16 - y). Solve -5 = d, 4*f - z = d + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4 + c - 11 - 3).\nAnswer: c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w + 390 = -7*w. Let d = -66\/7 + w. What is the second smallest value in d, 0, 2.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 180?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46 and 2.5799.\nAnswer: -43.4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t = -115*t + 60. Solve t*i + 20 = -3*a + 5*i, 24 = -5*a + i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 15*f**2 - 16*f - 56. Determine m(-15).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0 - 1\/147*o**7 + 0*o**5 - 2\/105*o**6 + 1\/21*o**4 + 0*o**2 + 1\/21*o**3 - 46*o. What is b in u(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from blldqdqdldbqdql.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4\/2 - 665*q**3\/2 - 3375*q**2 = 0.\nAnswer: -10, 0, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4522094 + 1533266 = -398*m + 7168132. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (1 + 2) - -4. Let k = 1 - 0. Let h = i - k. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -626, -1178, -1728, -2276, -2822, -3366, -3908?\n\"Answer: z**2 - 555*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25210 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36375)\/(-5820))\/(5\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 15 = 3*s, -6*s + 3*s = -p - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-115)\/9 + (-4)\/18. Let r be (-2)\/4 - (-46)\/(-4). Let q = j - r. Is q smaller than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100021220012 (base 3) to base 10.\nAnswer: 182903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 - 5 = 26*j + 33 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 - 0\/1). Suppose -2*k = -d*q - 0*k + 14, -1 = -q - 3*k. Find the second derivative of -176*l - 11*l**5 - q*l**5 + 183*l wrt l.\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 - i + 6. Let l be w(0). Let j(y) = 3*y**2 + y - 2. Let x be j(1). Calculate the greatest common divisor of l and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)\/(2\/6). Let m(w) = 3*w + 0 - 3 - l. What are the prime factors of m(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 11, -5, 1, 57, -2 in descending order.\nAnswer: 87, 57, 11, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -26*t + 104 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 + 1166*m - 3462. Give a(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3681664, -7363330, -11044996, -14726662?\nAnswer: -18408328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838594, 838606, 838618?\nAnswer: 838630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 3:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 12. Let t(c) = -1. Let i(d) = b(d) - 5*t(d). Let w be i(5). Let p = 3 - 1. Is p > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 1\/(51\/(-629)))*150\/250\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-7)*((-22057)\/411 - -54)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29102 is divided by 405?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306985222*j**3*w - 5686655*j**2*w - 3*w wrt j.\nAnswer: -1841911332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:07 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23870 and 21142.\nAnswer: 739970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -847 - -847. Which is the second biggest value? (a) t (b) 16 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 3:59 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 6. Let s(m) = -4*m**2 + 2*m + 7. Let t(b) = b**2 + b - 1. Let q(k) = s(k) + 3*t(k). What is the lowest common multiple of q(5) and j(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57523222.\nAnswer: 2, 19, 631, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32*m + 7. Calculate q(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y + 2. Let z be s(-7). Suppose p + 3*a = 26, 0*p = -p - a + z. Is (-1 + 2)*(-1 + p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1910696304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15910 - 9389. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -12\/12613 (b) 1 (c) 8\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -2125, -4775, -8497, -13297, -19181, -26155, -34225?\nAnswer: -43397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5852 + 4474 - 321)*(4 - 5 + 2)*(0 + 0 - 2*i).\nAnswer: -20010*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18096 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.6, 4, -2.9, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2238 and 67176.\nAnswer: 25056648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-146*q**2 - 392*q**2 - 501*q**2 + 2*q - 40*q**2)*(1 - q - 1) as w*q**2 + i*q**3 + t*q + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 642931.3312 + -643383. Let a = j + 459.07. Let o = a - 7.4. What is o rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n - n - 15*n. Let g(k) = 2*k**3 + k**2 + 11. What is g(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/17 (b) -5 (c) -3 (d) -0.5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 363*v**2 - 717*v + 357.\nAnswer: -3*(v - 119)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2553163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13482.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 - -765. Suppose t - 70 = 11*x. Suppose -p - 4*b - 6 = p, -2*b - 10 = 0. Calculate the remainder when x is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/7 + 3662836*u**3\/7 + 1677027631082*u**2\/7 - 16770551024520*u\/7 + 41926606489800\/7 = 0. Calculate u.\nAnswer: -915714, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2408\nAnswer: 5\/2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -e8a1a3?\nAnswer: e8a1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 times -529\nAnswer: 386.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**6\/540 + f**5\/45 - 5*f**4\/36 - 97*f**3\/3 + 116. Let j(x) be the third derivative of l(x). Find g such that j(g) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1.2, -0.2, -2\/5, -3\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 63, 96, 129, 162, 195?\n\"Answer: 33*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:41 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 0 + sqrt(17) + -1*(1 + sqrt(17))) + 4*(5 + sqrt(68) + ((sqrt(68)*-1)**2 - sqrt(68))).\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6748\/25 + -270. Let s = 1747.931 + -1747. Let m = s + 0.069. Put 2, p, m in decreasing order.\nAnswer: 2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**3 + 18*l**3 - 30*l**3)*(-2*l - l - l + (1 - 1 + 2*l)*(4 - 7 + 1)) in the form g*l**4 + t*l + x*l**2 + o*l**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/25 + 2169\/100. What is the common denominator of m and (62\/(-8))\/(36\/(-32))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*d + 24, 2*d - 3*g - 8 = -g. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let t(d) = 587*d**2 - 36*d. Determine f(t(w)).\nAnswer: -2348*w**2 + 144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 87257313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/11 - -16\/77. Let g = -5.2 - -5. Let d = -8 - -3. Which is the closest to 1\/2? (a) g (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 21 - 11)*(-342*b**2 + 73*b**2 + 95*b**2) to v + o*b**2 + f*b and give o.\nAnswer: -3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8713244 (base 9) to base 5\nAnswer: 2144030241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403555825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-65)\/10 - (-6)\/4. Let p = h - -278. Suppose -18*r + p = -14*r. List the prime factors of r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3\/2*j**2 - 1\/3*j**4 + 0*j**3 + 0 - 9*j. What is the derivative of z(u) wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3797322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16929852323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/40 + 83*l**5\/20 - 43*l**4\/4 - 84*l**3 + 10917*l**2. Suppose c(v) = 0. What is v?\nAnswer: -84, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203865 is divided by 790.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3265283*k**3 - 6530536*k**3 + 3265274*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44786310 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 + -67. Let h = m - 75. What is the least common multiple of h and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 341.3 - 345.7. Is 5 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3289\nAnswer: -4\/3289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:15 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -1175 (c) 0 (d) 123 (e) -1 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7762*q + 279423. What is u(-36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - m - m**2 + 0*m)*(121*m**2 + 2683*m - 2683*m) as i + j*m**4 + r*m**3 + n*m**2 + v*m and give j.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 121961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -5 - ((-26 - -16 - 0) + 19).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 - -234. Suppose -d*x + 1856 = 5*n - 0*n, 5*x - 4*n - 2361 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4731 or -4657?\nAnswer: -4731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 0) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.034, -13, 231 in ascending order.\nAnswer: -13, 0.034, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2717 + -1791. What are the prime factors of v?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -25. Let j(x) = 3*x**2 + 8. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7858171 equal to -7858171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 3. Let s = k - -6. Which is the third biggest value? (a) -1\/10 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((55\/5)\/(-11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32\/461 + 36137\/9220. Find the common denominator of 53\/562 and d.\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 304. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/11 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2 + 2 + 2*g**2. Let v(l) be the first derivative of -5\/3*l**3 - 2 + 0*l + 0*l**2. Calculate k(v(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146262597*q**2 - 308767179 wrt q.\nAnswer: -292525194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 5643686*d\/7 + 11287380\/7.\nAnswer: -2*(d - 2)*(d + 2821845)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 331661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1054, 326, 2624, 5840, 9974?\n\"Answer: 459*c**2 + 3*c - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q + 15. Let a be h(4). Let g be 0\/((-1)\/(-2 - (a + 0))). Solve u + g*m - m = -2, m + 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/3, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3 - 365255*v**2 + 2087412*v + 626220.\nAnswer: -(v - 6)*(v + 52185)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*g - 25, 21*g - 18*g = 6*f - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3982 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -464109 + 329981438\/711. Let f = -2\/79 + o. Put -28, 5, f in ascending order.\nAnswer: -28, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 361789459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/10*(96\/(48\/(-6)) + 16). Let o(b) be the first derivative of -2\/15*b**3 - v*b**2 - 2\/5*b - 19. Factor o(i).\nAnswer: -2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -0.1 (c) 1 (d) 5\/6 (e) -4\/331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14479\/42 + 1034\/3. What is the common denominator of 47\/484 and y?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824 = 796*q + 768 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 3\/5, -0.3, -1\/9, 1, -351, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 9*s - 31. Let g(y) = -y**2 + 5*y + 16. Let k(m) = 5*g(m) + 3*x(m). Let t be k(5). Solve -t*c = 8 - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/185760 and -5\/48.\nAnswer: 185760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose 0 = -2*h - 2*h - i. Let u(y) = -25*y + 1. What is the remainder when u(h) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211670299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 6*l**2 - l - 5. Let g be i(-6). Let m be ((-1)\/(-8))\/(g\/(-2)). Let u = 16873 + -16892. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245358899 + -9.95?\nAnswer: -245358908.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 - 1 = -o, 5*o + m = 33. Let b(q) = -2 + 6*q + 0 + o. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3239, 2897, 2333, 1559, 587?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 42\/12)*2. Let p(o) = o**2 - o - 1. Let x(k) = -6*k**2 + 3*k + 3. Calculate h*x(i) - 4*p(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 860 by -10.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-12*v + 34*v + 39*v) + (17*v - 4*v - 2*v)*(1 - 5 + 3) - 4*v + v + 5*v to the form w + f*v and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-3\/4)\/x*x))\/x**(-3\/10))\/((x**(-13)\/x)\/x**(-2)) assuming x is positive.\nAnswer: x**(281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/(39\/91).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 6\/7*i**2 + 146 - 2\/21*i**3 - 16\/7*i. Factor t(r).\nAnswer: -2*(r - 4)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 + 215*q**2 + q + 47. Let a be w(-43). Solve a*x = 5*b - 18, 0 = -5*x + 2*x + 3*b - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 12) to base 16.\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11373984 divided by 947832\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35235.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45325 divided by 245\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4826?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q. Let x(m) = 28*m**2 - 4*m - 2. Give 4*n(d) + x(d).\nAnswer: 24*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**7\/1120 + r**6\/96 + 3*r**5\/80 - 85*r**3\/6 - 25*r**2. Let x(g) be the first derivative of f(g). Factor x(l).\nAnswer: -3*l*(l - 6)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)\/(k*k\/(k\/(k\/k**(-2\/19)))))\/(k\/k**4*k*k\/(k*k*k**(-2\/13)*k*k)) assuming k is positive.\nAnswer: k**(2644\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254*f**2 - 218160*f + 13*f**4 + 218160*f + f**3 wrt f?\nAnswer: 312*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b - 8. Let q(f) = -f - 1. Give -18*q(n) + 2*w(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -36 (b) -2\/23 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486749804 to the nearest integer?\nAnswer: 22062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 6. Let u be p(-3). Solve -y = -u - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29370 and 1958.\nAnswer: 29370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 5 (c) -24\/145 (d) 7\/482 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, u: 3}. What is prob of sequence dd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*z - 5727, -2*a - 4*z + 3086 + 2606 = 0. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*g - 240*g = 420 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 1 = 5*b, c + 8 = 2*b. Suppose -2*j + c*r = -2*r + 24, 2*j + 2*r = 0. What is the tens digit of (6\/j)\/(9\/(-324))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 2754792.\nAnswer: 24793128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176) + 4)**2*5 - ((sqrt(176) - -1*sqrt(176)) + -2 + (-1 + 0 + sqrt(176) + sqrt(176))**2)) + 4.\nAnswer: 261 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1885343\nAnswer: -17\/1885343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -1\/16, 0.4, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -4*t**3\/3 + 4*t**2 + 10*t - 1. Let i be m(7). Let h = 19 - i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -1028\/7?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -27, -7, -299, -6 in descending order.\nAnswer: -5, -6, -7, -27, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8995 - -8376. Which is smaller: c or -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5131092 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2\/2 + q + 9. Let y be 10 + (-2 - (-2 - 0)). Suppose 9 = -4*t + 3*w, -5 = 3*t - 5*w + y. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10351.24 tonnes in kilograms?\nAnswer: 10351240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24*14\/42 - 25).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -404*u - 33530. Give w(-83).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 + 0\/((-3 + 2)\/(-1)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 9. Let g be v(0). Suppose g*x = 5*x. Suppose x = 2*u - 369 - 61. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 99*q + 268. Determine m(-5).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-3 - -2) + 0). Suppose -3*h - 4*s + 253 + 66 = 0, 0 = -d*s - 10. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336133272.\nAnswer: 2, 3, 149, 93997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*((f\/((f\/f**(-7))\/f))\/f)\/f))\/(f\/(f\/((f**(7\/3)*f)\/f))*f)*f**(13\/5)\/f*((f**0\/f)\/f)\/f*f assuming f is positive.\nAnswer: f**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 8?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 627 = -2*r - r, -3*n + 5*r = -383. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/2163 - -6493\/4326. Let d(o) be the first derivative of w*o**4 + 2\/5*o**5 + 11 + o**2 + 0*o + 2*o**3. Determine v, given that d(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/17312520 and -173\/60?\nAnswer: 17312520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223\/4 - -56. Let m(s) be the first derivative of 9 + 3*s**2 + 7*s + 2*s**3 + t*s**4. What is m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-10) - 12\/5. Let m = t - -37. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*21\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 9 = -16*s, -g = -4*s - 12102. Calculate the lowest common multiple of g and 6.\nAnswer: 12138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 7:44 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 36\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 12*m**2 - 15*m + 28. Let d(x) = 2*x + 14. Let r be d(-6). Suppose -9*v + 91 = -r*v. Let t be i(v). Sort -15, 0, t in descending order.\nAnswer: t, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1878 + 1881. Let j be -1*(-2 - 0)\/1. Suppose x + 7 = j*x. Solve -a*o + x*o - 12 = -3*q, o - 4*q = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 135. Let j(s) = -7*s**p - 16*s**2 + 44*s**2 - 15*s**2. Let v(i) = -41*i**2. Give v(j(f)).\nAnswer: -1476*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6\/(-4)*984\/(-9).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899 and 3193.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rws when three letters picked without replacement from wswxrsrwx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/58122 and -40\/61.\nAnswer: 3545442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/6 - (-38)\/(-57). Suppose -o*c = -c - 204. Calculate the highest common divisor of 68 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-47 + 32) - (-2 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 8, -2 in decreasing order.\nAnswer: 8, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366552576 by -384.\nAnswer: -954564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000742965 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 995, 3958, 8853, 15644, 24295, 34770, 47033?\nAnswer: 61048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 375*w - 393*w as x*w + z and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 + 570. Find the common denominator of 13\/126 and ((-52)\/(-42))\/((-36)\/n).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:04 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*o - 99 + 70 = 0, o + 13 = 3*d. Let z(p) = p**2 - 1. Let u be z(-1). Suppose 0 = -5*i + d*m + 6889, u*m = -5*m + 10. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 23. Let n(h) = 11. Let q(c) = 2*d(c) + 5*n(c). Let p be q(-6). Let w = 180 - 1258\/7. Sort 2, w, p in decreasing order.\nAnswer: 2, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -3*u, 5*u + 5*x + 5 = -0. Suppose 2*h - 8 = u. Suppose h*r - 235 = c - 6*c, 3*c = 3*r - 147. Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-192 - 1) + 1744 + -1684\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 + 4127109*z**2\/5 - 8254227*z\/5 + 825423.\nAnswer: 3*(z - 1)**2*(z + 1375705)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 121, 179, 217, 229, 209?\n\"Answer: -l**3 - l**2 + 82*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23093 = -10*p, 3*p = 14*i - 10*i - 92557. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*d + 378, -6*k + 3*d + 402 = -k. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12747 and 34599?\nAnswer: 242193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4920870 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12554, -16512, -20508, -24560, -28686, -32904?\n\"Answer: -3*a**3 - a**2 - 3934*a - 8616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 75289*h**3 - 376467*h**2 - 225891*h + 677646.\nAnswer: (h - 75294)*(h - 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -678935 divided by -678935\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 7*j + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 573101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(5) + 4*-1*sqrt(5) - sqrt(5)) + sqrt(5))*-2*-1.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wttttwtwttww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445 - 28 = -60*x - 3 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8222\/221371 - 7\/193. Let n = -268364\/2301 + 850515397\/5278494. Let i = l + n. Calculate the common denominator of 109\/14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1785 or -20?\nAnswer: -1785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6553472 - 0.016749?\nAnswer: 6553471.983251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 447*m**2 + 4*m + 3. Let q(y) = 893*y**2 + 7*y + 5. Determine 5*a(v) - 3*q(v).\nAnswer: -444*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-34)\/d**(-34))**19 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2398*u - 3*t - 3 = 2401*u, -9*t + 24 = 15*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1107 divided by 3\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/40 + 3*m**5\/20 + m**4\/8 - 8353*m**3\/6 + 3991*m**2. What is the derivative of f(r) wrt r?\nAnswer: -9*r**2 + 18*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -156, -343, -604, -939?\n\"Answer: -37*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -133, -145, -119, -43, 95, 307, 605?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 165500*u**2 - 4637920*u.\nAnswer: 5*u*(u - 28)*(u + 33128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 5:50 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*w - 25, 26*i + 7*w + 32 = 25*i. Let o = 20 + -10. Suppose o = i*p - p. Solve -f + 0*f = -3*z - 12, -2*z - p*f + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 8*v - 2. Let f = 4 + 4. What is the lowest common multiple of p(-6) and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 308, 466, 660, 902, 1204, 1578?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6292127*i - 7176390.\nAnswer: 6292127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.168 (b) 2\/23 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 16124871?\nAnswer: -16124873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -53946*m + 485636. Calculate z(9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 7) to base 16\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 4*(sqrt(3) - (sqrt(3) + 1)) + (sqrt(3) - -3*sqrt(48)).\nAnswer: -4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73023 and 23136.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14642674 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 53*f**2 + 234*f - 288 = 0. Calculate f.\nAnswer: -48, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 9) + 11 - (1 + 1) - -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Suppose -3*r + 4*o = 11, 4*r + 3*o - 27 = -0*r. Solve -5 = -r*y + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1050798870?\nAnswer: 1050798870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.4, -9, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908a19 (base 11) to base 7.\nAnswer: 15264313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.8 - -46.3. Put -2\/5, o, 2\/7, -1.5 in decreasing order.\nAnswer: 2\/7, -2\/5, o, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4580.0667ms?\nAnswer: 0.00005301003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -2. Let u(h) be the third derivative of -h**5\/60 - 5*h**4\/24 - h**3\/6 - 93149*h**2. Determine u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 - 2*v + 37 - 4. Let z be i(-12). Calculate the highest common factor of z and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 12*v**3 + 4*v**3 - 14*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3835606.\nAnswer: 2, 19, 100937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 6*5*sqrt(25)\/sqrt(5)*-6)*6)**2.\nAnswer: 51840*sqrt(5) + 5832576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -4 + 7 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14 + 8 + 7. Let f(b) = b**2 + 4. Let g(y) = f(y) + 6*r(y). Differentiate g(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2. Suppose -3*q = 7 + 2. Let h(w) = -3. Let x(f) = -f + 1. Let y(m) = q*x(m) - h(m). Determine g(y(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - u + 4*u + 12, -c = u + 4. Suppose 20*k = 24 + 36. Sort -3, c, k, -1.\nAnswer: -3, -1, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u = 3*a - 570, 272*a - 275*a = 3*u + 60 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3 + (4 - 3 - 2)*(-2 + 4 - 1))*(131876*n - 2035*n**2 - 131876*n).\nAnswer: -4070*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -56*z + 60*z + 14, -5*x = 4*z + 53. Let -4\/7 + 6\/7*l + 116\/7*l**z + 64\/7*l**2 + 22\/7*l**5 + 12*l**4 = 0. Calculate l.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-1 - -41) + -157 + 154.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*u**2 + 5*u - 73*u**2 + 7*u**3 + 155*u**2 - 4*u**3 to the form o*u**2 + h*u + i*u**3 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/40650 and -41\/3627606?\nAnswer: 90690150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-c - 4*c + 3*c)*(-2 - 3 + 6)*(2*c - 15*c - c).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -4 + sqrt(931)*-2)*1)**2.\nAnswer: 56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 121. Suppose 4*c = q + 1, -4 = 5*c + h*q - 1. Solve -5*w = -c - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -884, -1296, -1710?\nAnswer: -2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56 - (-18)\/7*84\/(-24). Which is smaller: -23 or p?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, 0, 9.\nAnswer: -22, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1514 = -4*t. Let v = -522 + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/(-10))\/((-2)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 313 + 191 - 238 + (-2*x + 0*x + x)*(-3 - 3 + 4)*(1 + 1 - 1) to the form z*x + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 4. Suppose -x = -2*x - 3. Let t(v) be the third derivative of -v**4\/4 + 3*v**3\/2 + 11869*v**2. Determine x*t(k) - 7*r(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*i + 446 + 311, -3*i + 2*q + 1137 = 0. What is the remainder when i is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -197\/118 in 0.03, -2, 2\/7, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oih when three letters picked without replacement from oifhu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 5*s + 2*s)*(425*s**2 + 2*s + 85*s**2 + 73*s**2) to j*s**2 + u*s**3 + a + w*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*(-3)\/9)\/(4\/164). Let l = -38 + w. Suppose -336 = -3*m - 5*i + 6, 4*i = l*m - 315. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 66147674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/60 + x**5\/12 - x**4\/6 - x**3\/6 - 18*x**2 + 6*x. Give u(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232464 - 6276530\/27. Suppose -3*l + 16 = -2*z, -3*l + 0*z - 4*z + 4 = 0. Suppose 3*b - f = l, 5*b + 3 - 4 = -4*f. Is b less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/7)*m)*(m\/(m*m**(-1)*m))\/m)**20\/((m*m\/(m\/m**(2\/9)))**45)**(-4\/7) assuming m is positive.\nAnswer: m**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 439.2 + -438. Let f = z - 0.096. Round f to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/60 + d**4\/4 - 5*d**3\/6 + 7*d**2. Let w be l(-7). Suppose -g = 4*g + n - 439, 2*n = -w*g + 182. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - q - 172 = 0, g = -q + 25 + 23. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7004\/59 or -120?\nAnswer: -7004\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 4*j**3 - 35*j**2\/3 - 4*j + 12.\nAnswer: -(j - 6)**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efpeepvpepvee. What is prob of picking 2 e and 1 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6)\/(-10) - 20\/(-25)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-6 - 4 - 7)*(6*w + w - 4*w).\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let m(q) = -2*q**2 + 11*q - 1. Let h(a) = -a**2 + 4*a. Let l(i) = -11*h(i) + 4*m(i). Let u(o) be the first derivative of l(o). Give u(g(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2970*c - 3106*c - 5630 + 14470 = 0 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - (-7)\/(-4). Let k be (-34 - (-12)\/4)\/(-1). Let z be (216\/28)\/(k\/14 + b). What is the highest common factor of 288 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 - w - 6. Suppose -16 = -4*q, 4*q + 10 = z - 2. Let g = 34 - z. What is l(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, 2*w = 4*p + 5001 - 1251. Let t = -3748 + 2462. Let y = w + t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15607 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*((sqrt(114)\/sqrt(6))**2 + sqrt(19)) - (-4 + 0 + sqrt(931))**2.\nAnswer: -1018 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 2718568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10*b = 5*b - 11, 4*b = -2*u. Suppose 0 = 3*v - 4 - 20. What is the remainder when -11*(-2 - -2 - u) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15196 and 16?\nAnswer: 60784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2016 and 1805760.\nAnswer: 12640320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*w = -w - 7, 5*w - 19 = -2*b. Suppose l + 1 - 3 = 0. Suppose l*u = 5*g + 65, 0 = u + 3*g + b*g + 5. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*j - 10, -j = 9*u - 6*u + 13. Suppose 2*f + j*n - 4*n = 450, -3*n = 9. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 132 = 32*x - 263 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -532371 + -2a4?\nAnswer: -532655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5779 + 5787. Solve -5*m - 6 = -3*p, -p + 2*m = 3*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 - 391. Let f(w) be the second derivative of y*w**3 - 1\/2*w**2 - w + 2\/15*w**6 + 0*w**5 + 0*w**4 + 0. What is the first derivative of f(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16864 take away 1.163191?\nAnswer: 16862.836809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -511, -1038, -1587, -2164, -2775?\n\"Answer: -v**3 - 5*v**2 - 505*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 15. Let p(q) = q**2 + 5*q - 5. Let s be p(u). Is s + -1 + 0 + 274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by 2.\nAnswer: -221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 3:24 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/8)\/(4\/(-48)). Suppose 4*j - f*j + 16 = 4*x, 4*x = 4*j + 16. Let w = -2 - -2. Sort -4, w, x in increasing order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47776 + -29685. List the prime factors of s.\nAnswer: 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 26 + 1194. Calculate the greatest common divisor of 183 and b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -22. Suppose -o**4 - o**4 + 2*o**2 - u*o**3 - 3*o**2 - 3*o**2 = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/240 - n**4\/12 - n**2. Let l(z) be the second derivative of m(z). Let s(t) = -2 - 2 - 2*t + 4. Give l(s(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*r - 19362 = -687*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 10. Let v be z(7). Are v and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 1, e: 1, j: 5}. What is prob of sequence jie?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 22*n - 136. Let j be -10*(4 - (-156)\/(-30)). Is d(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/(-16))\/((-1)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840538 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*l + x - 16, 3*l + 5*x - 20 = 0. Suppose 19*u - l = 14*u. Does 24 divide -88*((-4)\/u - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6810 and 454?\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1621\/12 + -135. Let k(d) be the second derivative of d + l*d**4 + 0*d**3 - 1\/30*d**6 + 0 + 0*d**5 + 0*d**2. Determine x so that k(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:45 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12881 + 29595. Is w a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*c - 102*c - 24*c - 10*c - 27*c - 24*c - 29*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 150467.5 milligrams in kilograms?\nAnswer: 0.1504675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:39 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 10) in base 8?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -556b - -5?\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfotr. What is prob of sequence rof?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -393. Suppose 0 = 3*v - 1676 + y. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 299 - 299 - 361*x**3 + (-x**2 - 4*x**2 + 3*x**2)*(2*x - 3*x + 3*x) - 3*x**3 - 2*x**3 + 3*x**3 + 0*x**2 + 3*x**3 + 0*x**2.\nAnswer: -364*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) 834 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 - 331 = 41*h + 1581 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/15947669 or -1?\nAnswer: 4\/15947669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 10*q - 2. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, -0.4, 43?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + j - 3*j. List the prime factors of h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308196.\nAnswer: 2, 3, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {e: 4, o: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i - 118*i - 322 = 566 + 204 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 346554 (base 7) in base 9?\nAnswer: 104486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 23*k + 28. Let f be p(-1). Suppose -i - 1 = -4*i + d, -2*d = i + 2. Suppose i*x - 3*x = 0, 4*h - f*x - 8 = 0. Solve -10 = -0*c - h*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739\/3 - 250. Let f = z - -3. What is the nearest to f in -2\/3, -1, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52343 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 4 + 5*v**2 + 6*v - 3*v**2 + 4 - v**3. Give w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) -804\/11 (b) 3 (c) -0.15 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164931 at most 164959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -24*t - 429. Let q be y(-24). Calculate the greatest common divisor of q and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Let n(z) = 8*z + 11. Let b be n(5). Let q be 45*((-1)\/(-1) + (-34)\/b). Solve p*t + q = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fafl when four letters picked without replacement from aaffhfffffffflifhhl.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274724 is divided by 39243?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Let d(b) = -5*b**3. Let q be d(-1). What is the highest common factor of h and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 0*t = -2*t + 6, 4*u - 19 = -3*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -589662?\nAnswer: -589662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4327*z**2 - 17033*z**2 - 3 + 773*z**2 - z - 9696*z**2.\nAnswer: -21629*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/24)\/((-6)\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5*y - 1445*c**2*d*y + 2*c*d + 2*c*y + 35*c - 3*y wrt c.\nAnswer: 40*c**3*y - 2890*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89208 divided by -54.\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804738 is divided by 785.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 3. Let v = 1 + m. Let t = 20 - 11. Calculate the highest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3 + 49*q + 482*q + 2. Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -6. What is the highest common divisor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:30 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/50*16\/56\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzrzrzzrrrrzzrrrrz. Give prob of picking 1 z and 2 r.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i**3 + 16*i**2 + 66*i - 13. Calculate m(-3).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Let h = -3477 - -5206. Suppose r - 16 = -2*j, -r - 2*r = 5*j - 48. Let t(k) = 1729*k - h*k - r*k**2. Give t(l(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 8*n**2 - 13*n + 11. Let u be v(-5). Solve -k = -3 - u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10204860 and 300?\nAnswer: 51024300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 245133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1808057, -1808058, -1808059, -1808060, -1808061, -1808062?\n\"Answer: -z - 1808056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -64535.77 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (56 - (21 + -57))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (15 - (4 - (19 + -13))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u + 240 = 63*u. Is -7 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1001 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icciciciccicickcc. What is prob of sequence iic?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5775 and 1737750?\nAnswer: 19115250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152684119 to the nearest integer?\nAnswer: 12357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 4*a**2 - 3*a**2 + 5*a**2. Let q(t) be the second derivative of 7*t**3\/6 + 8*t. Calculate q(g(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 + d - 2. Let y(u) = -19*u**2 - 4*u + 37. Let h(c) = 16*c**2 + 4*c - 38. Let a(j) = -6*h(j) - 5*y(j). Let l be a(-9). Give t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 - 5*m**4\/2 - 3*m**3\/2 + 8*m**2 + 47*m\/4 + 9\/2.\nAnswer: -(m - 2)*(m + 1)**3*(m + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 7, c: 5, w: 2, x: 3, m: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from srzszxkxzbszzxr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -209, -174, -115, -26, 99, 266, 481?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 130417*g**4 + 586906*g**3 - 717343*g**2 + 4*g + 260852 = 0 for g.\nAnswer: -65213, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(119)*-2 + (sqrt(119) - sqrt(119)*-1)*-1 + -2*sqrt(119)*-2)\/(-4*((2*sqrt(70) + sqrt(70))*2 + sqrt(70))\/sqrt(10)*2).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w + 40. Let x be i(-7). Let z be (-4)\/(-9)*(-18)\/12. Which is the biggest value? (a) z (b) -13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 268. Solve -m + 4 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(114)\/sqrt(726) + sqrt(2299) + 4)**2 + (sqrt(19) + sqrt(38)\/sqrt(2) + -4 - (sqrt(19) + 2)*-4)*-5.\nAnswer: 646*sqrt(19)\/11 + 282070\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -4 + (sqrt(363) - -5*(sqrt(363) + -1)) + (sqrt(363) + sqrt(363)*-2 + -4)**2)*-1*5.\nAnswer: -1840 - 770*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 10. What is the smallest common multiple of d\/(-12)*3 + 13 and -2 + (24 - -2 - 2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times 8\nAnswer: 49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -6651744?\nAnswer: -6651751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -850276.\nAnswer: -850276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1 + (-30500)\/61. Let d = -502 - x. Which is greater: d or -6\/259?\nAnswer: -6\/259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -194*c + 203*c - 38 + 3001*c**2 - 14. Let x be d(-13). What is x rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 6*t - 7. Let s(h) = -h + 2. Let d be s(0). Suppose 0 = -b + d. Calculate the least common multiple of i(8) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 333 = -326. Solve k = z - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(187)*-5 + sqrt(187)*1*-4)\/(((sqrt(121)*-2 + sqrt(121))\/sqrt(11) - sqrt(275)*3)*5).\nAnswer: -11*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286858?\nAnswer: 2, 11, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -6707?\nAnswer: -6705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 - 40*l + 30. Let f(k) = 2*k**2 + 27*k - 20. Let c(z) = 7*f(z) + 5*v(z). Is 5 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 8. Suppose -q + b = -0. Suppose -a + q*r - 3*r + 313 = 0, -3*a + 4*r + 895 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 4*c**2 + 3*c**2)*(-c**3 + 4*c - 4*c) - 2*c**5 + 4*c**5 + 114*c**2 + 73*c**2.\nAnswer: 3*c**5 + 187*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -308230521 divided by -16222659?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-8)\/8)\/(2\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*n + 3*m, 3*n - 5 = 3*m + 1. Let k be (3*-1)\/(n\/(-5)). What is the first derivative of -2 + 4*g**4 + 2 - 1 + k wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 - 2*t - 4. Let s be v(3). Let f = -5 + s. Suppose -d + 4 = f*d. Calculate the greatest common divisor of 8 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -5*s**2\/2 + 3879. Let q(o) = 588*o. Determine q(u(r)).\nAnswer: -2940*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -6\/133, -2?\nAnswer: -6\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 22 - 3\/80*z**6 + 0*z - 5\/96*z**4 + 1\/105*z**7 - 1\/1344*z**8 + 1\/15*z**5 + 0*z**3 - z**2. Factor l(q).\nAnswer: -q*(q - 5)*(q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -1712. Let x be i*(215\/10 + -2). Let a = x - 333917\/20. What is the common denominator of a and 107\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2117 * -1413.8.\nAnswer: 2993014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 5, 4.\nAnswer: -0.4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 6. Let a be o(9). Solve -7 = a*d + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -115*n + 25. Let r(f) = -38*f + 9. What is 11*r(p) - 4*s(p)?\nAnswer: 42*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5787 + 5a6?\nAnswer: 6171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.315ms to nanoseconds.\nAnswer: 4315000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2448 + 4465. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568997?\nAnswer: 11, 13, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -24071.3508 to the nearest integer.\nAnswer: -24071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 4564800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 4 + 0 + -2. Suppose 3*w + 4*s + 4 = 15, 4 = -r*w - s. Is (1 + -1)\/w - -83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**3 + 129075*v**2 + 516365*v + 387285 = 0.\nAnswer: -3, -1, 25819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*d**3 - 3582*d**2 - 21470*d - 18050 = 0. What is d?\nAnswer: -95\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 79, 0, -87, -188, -309, -456?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 - (71 + (-34 - (12 - 11)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b + 30. What are the prime factors of x(10)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t + 22. Let w(h) = 9*h + 7. What is -7*w(z) + 2*x(z)?\nAnswer: -7*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 - 148*y. Let m(l) = -2*l**2 + 2. Let z(n) = -5*n**2 + n + 6. Let b(d) = 15*m(d) - 5*z(d). Give b(o(p)).\nAnswer: -5*p**4 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/25 of a gram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 426 = 58*m. Suppose -2*l + 5 + 1 = 0. What is the units digit of (-1 + 4)\/(l\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -10) + -28 - (-10 + 3 + 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1336450.9259921 - 1336451. Let l = -261.926 - -262. Let h = d + l. Round h to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 341510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 19*n + 10. Suppose 2*s + d = 84, -2*d - 98 = -n*s - 14. Calculate the lowest common multiple of 12 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -3 (b) -2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 72*z - 74*z - 4, 3*z + 5*v = -22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (-5*(sqrt(567) + 1) + sqrt(567)))*2 + -4*(sqrt(567) + -2)*-2)**2.\nAnswer: -1944*sqrt(7) + 183744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*l + 60, -l + 5*l = -t + 87. Suppose -2*m + 7*m - t = 0. Suppose 12 = -p + 42. What is the greatest common divisor of p and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000694222937 rounded to seven decimal places?\nAnswer: -0.0006942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27157*c + 1060 = -27147*c for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 3*q + 330 + 792 = 0. Calculate the highest common divisor of 18003 and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 11*l - 1526 = -g, -2*l = 5*g - 7622. Calculate the least common multiple of 78 and g.\nAnswer: 19812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225665*x = -4*h + 225670*x + 10, 0 = 4*h - 2*x - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 507 - -908?\nAnswer: e10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:46 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12063*d - 12070*d - 12070*d + 48254*d - 12060*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 137*u**4\/24 + 4*u**3\/3 + 533*u**2. Let g = 1 + 0. What are the prime factors of h(g)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776 (base 9) to base 8.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -3*v**8\/112 - v**7\/70 + v**6\/20 + v**2 - 1. Let h(m) be the second derivative of k(m). Find g such that h(g) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let f(a) = a - 2. Let b be f(6). Let v(q) = 4*q - 5. Let i(r) = -3*r + 4. Let y(j) = b*v(j) + 5*i(j). Give y(p(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2420\/35)\/11 - 6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13 = -c - 0, -4*c - 31 = -5*b. Suppose b*h - 18 = 2*h. Calculate the remainder when 69 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -43. Let c = x + 7. Suppose -3*o = -16 + 1, 0 = -4*u + c*o + 77. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 5*r - 6*d - 60, 60 = 5*r - d. Suppose 0 = r*u - 11*u - 19*u. Let g(p) = -p**3 - p**2 + p + 3. Let m be g(0). Solve -2*h + 3 + m = u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 46*z. Let n(j) = 35*j**2. What is n(s(m))?\nAnswer: 74060*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 868*c**3 - 48674*c**2 - 826560*c - 2018016 = 0. What is c?\nAnswer: -11, -3, 84, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*d - d + n, -3*d + 5*n + 9 = 0. Let p be ((-69)\/46)\/((-1)\/60). Let m = p - 86. Solve -m*w - 2 = -d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*w + 111*w = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let b = -23 - -19. Let g(l) = -14*l. Let c(k) = 5*k. Let v(q) = b*g(q) - 11*c(q). Give f(v(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -35*f**2 + 1191*f + 1192. Calculate t(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 d, and 1 l when three letters picked without replacement from {l: 2, d: 5, u: 1, g: 4, s: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/5067 and 21\/2324627?\nAnswer: 20921643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 49. Let r(f) = 5*f**3 - 3*f**2 + 5. Calculate the smallest common multiple of r(d) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.770521 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/4 + n**3\/3 - 5909*n**2. Let u(c) = -4*c + 1. Determine 5*s(l) - 7*u(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a - 6, 3*a = 3*y - 219. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3043292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4*q - 31*h**3*q + h**2*q + 1734*h*q wrt h.\nAnswer: -12*h**2*q - 186*h*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let s(b) = 75*b**2 + 3*b + 2. What is -3*a(g) + s(g)?\nAnswer: 75*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63784, -127574, -191316, -254986, -318560?\n\"Answer: 4*a**3 - 63818*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 + 2*i**2 - 1. Suppose -3*s + 5 = -k - 5, 3*s - 4 = 4*k. Suppose 5*o = 3*j - k - 1, -2*j - 3*o + 2 = 0. Determine n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0969 + -3.0969. Let n = -5.7 + 0.7. What is the closest to n in 0.5, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.0733?\nAnswer: 1.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524002256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -31531.43 to the nearest ten.\nAnswer: -31530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + n**2 - n - 2. Let f(c) = -4379*c**3 - 599*c**2 - 3*c - 6. Let h(k) = -f(k) + 3*l(k). What is the third derivative of h(g) wrt g?\nAnswer: 26328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501 - -126?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283334 divided by 6?\nAnswer: 141667\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271296027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1, 0.4, 3, 1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20844.747393 to the nearest 10.\nAnswer: -20840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40014, 40013, 40012?\n\"Answer: -r + 40015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 24 = r. Let c be 1*18 + (1 - r). Solve 5*g + c = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + x - 110 = -5*z, 0 = -5*z + 4*x + 135. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -734*h + 724*h + 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t. Let c(v) = -18*v**2 - 4*v - 36. Let h(f) = 17*f**2 + 5*f + 45. Let m(k) = -5*c(k) - 4*h(k). Calculate m(g(n)).\nAnswer: 3718*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -552*w - 9. What is z(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 - 1?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 10 - 20 + 4 - 1478*d.\nAnswer: -1478*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5038349.75 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -155*s**4\/12 - 241*s**3\/3 - 618*s**2. What is the first derivative of v(k) wrt k?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1648\/127 at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 457987 + -457987. Let g = -9\/23 - -127\/207. What is the closest to o in 117, 2\/19, 0.2, g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.136988 milligrams to micrograms.\nAnswer: 3136.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let b(j) = j**2 + 1. Let x(l) = -21*l**2 - 15. Let q(m) = 15*b(m) + x(m). Give d(q(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + w = 9, 3*w = -n + 2*n + 7. Suppose -n*h - 2*j + 166 + 56 = 0, 3*h - 4*j = 333. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20298 and 77214.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115835, -231669, -347503, -463337, -579171, -695005?\nAnswer: -810839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8.93, 0.1, -3\/31 in descending order.\nAnswer: 8.93, 0.1, -3\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17371\/5, 2, -46 in descending order.\nAnswer: 2, -46, -17371\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 624, 1877, 3738, 6189, 9212?\n\"Answer: -3*i**3 + 322*i**2 + 308*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*h + 90. Let p be (-106)\/(-8) - 3\/12. Suppose h = 3*k - p. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 - 324 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-118)\/(-4) - (0\/4 - (-27)\/(-18)). Let v = 7 + -2. Suppose 3*m = 2*f + 91, -v*f = 2*m + 20 - 87. Calculate the greatest common divisor of q and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601770.8 millilitres in litres?\nAnswer: 601.7708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -370505 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 8:18 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(29\/5)*m\/m**20*(m\/(m\/m**(-2\/7)))\/m**(-1\/63))**(-21\/5) assuming m is positive.\nAnswer: m**(4243\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -160, 0 in descending order.\nAnswer: 17, 4, 0, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 40) + 13 - (0 + -24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -31715\/3388?\nAnswer: -31715\/3388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2\/6)*(-72)\/(-816).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 16. Let h(x) = -x**3 + 3*x**2 + 5*x. Let q be h(u). Suppose 2*i - 7 + 1 = 0. Solve a = -4*v + 4, -q*a + v - 21 = -i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 118*y**2 - 13*y + 1541. Let b be s(118). Let d = -8 + 11. Solve -b = d*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41866*w**6 - 19*w**2 + 3*w - 22 wrt w?\nAnswer: 5023920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 20. Let q be n(0). Suppose -3*i - q = -5*h - 79, 4*i + 2*h = 44. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 159\/(-42) - 4\/56*-4. Let v(o) = -4*o + 1. Let j be v(1). Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -1. Let o be 5\/(-25) + 42\/b. Let u(y) = 23*y + 1. Let l be u(1). Solve s + 2*q + 7 = 6*s, -l = -o*s - 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 2*r)*(4*r**2 + 2*r**2 - 5*r**2)*(-3*r - r + 2*r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(15\/(-18)). Suppose -j - 209 = 5*w + 222, -2*w - 166 = 2*j. Let c = w - -84. Is o smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249330512*g**2*p**4 + 36*g**2*p**2 - 78*g**2 + 3*g*p**2 - 20*p**2 + 6*p + 2 wrt p.\nAnswer: -5983932288*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 7*v**2 + 6*v - 5. Let z be u(-8). Suppose -n - 2*c + z = -16, n - c - 18 = 0. Calculate the remainder when (-6)\/4*(-1204)\/n is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**6\/g)\/g)\/((g*g*g**(-2\/23)*g)\/g))\/((g*g\/(g\/(g**(-6\/7)*g)))\/g*g)**20 assuming g is positive.\nAnswer: g**(-3183\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4152338.\nAnswer: 2, 43, 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-18 - -6) - (-321)\/29\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 284*a - 293*a + 261*a - 675*a in the form o*a + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*s - 27 - 18 + 40 in the form y + c*s and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/(-3)*12\/8. Let k = -15 + a. Let x = -1.5 - -2. Is k at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r. Let o(b) = -b - 15 + 15. What is 2*o(z) - x(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -153, -6372, -3 in descending order.\nAnswer: -3, -6, -153, -6372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -315816.55 and 8.\nAnswer: -315808.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1\/(26\/6 + -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**4 + 2*d**4 + 2*d**4)*(-2*d - 2*d + 2*d + (d - d + 2*d)*(1 - 4 + 1) - 2 + 2 - 2*d - 3*d - 3*d + 5*d) + 3*d**5 + d**5 + 4*d**5.\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2040 and 5\/719712.\nAnswer: 3598560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.0715 hours to seconds.\nAnswer: 1469057.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*i**2*k**3*p - i**2*k**2*p + 5*i*k**2*p - i + 10*k**3 wrt i?\nAnswer: -92*k**3*p - 2*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 22. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234116610 (base 7) in base 15?\nAnswer: -1414099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxmxmm. Give prob of picking 3 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let j(x) = -x**2 + x - 1. Let l(g) = -48*g**2 - g - 2. Let f(h) = a*j(h) - l(h). Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2743600 rounded to the nearest 10000?\nAnswer: -2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/9) - 660\/120\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4426, 8838, 13250, 17662?\n\"Answer: 4412*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2*(0 - -2). Suppose 28 + 116 = 8*t. What is the remainder when d\/t + (-205)\/(-9) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42540 = -52678*y + 50551*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1911*n**2 + 966*n**2 + 903*n**2.\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l. Let b(f) = -10*f**2 + 35*f**2 - 14*f**2 - 24*f**2. What is b(h(g))?\nAnswer: -2925*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 6 (c) -0.8 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 10*u**2 + 10*u - 11. Let x be r(-11). Suppose -16 + x = -4*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32478 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)\/o**(-14)*o\/(o**21*o)*o*o**(-10\/9)*o assuming o is positive.\nAnswer: o**(-199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29445 - -29444.5. Which is the second biggest value? (a) -2 (b) k (c) -5908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 401892 and 3617028.\nAnswer: 3617028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2156, 3 in ascending order.\nAnswer: -1, 3, 2156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 5*d + 12*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 3*g**2 + g. Let j be d(3). Suppose -t + 3 = u, -2*u - 16 = -j*t + 2*u. Suppose 2*s = t*a - 80, -2*a - s = -3*a + 21. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*d**2 - 154 + 154 to the form w*d + i + u*d**2 and give u.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -21dd?\nAnswer: -21d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 683, 682, 681?\n\"Answer: -g + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51256322 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 222022?\nAnswer: 222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 0, -5*f = -5*x - 0*x - 10. What is the lowest common multiple of (x - (-11)\/5)*5 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 15.16. Which is smaller: 0.5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 - 10*g + 11. What is p(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**6\/84 + c**5\/30 + c**4\/42 - c**2\/2 + 1. Let h(d) be the second derivative of t(d). What is z in h(z) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1792 or 1789?\nAnswer: 1792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, 0.1, 0.0675, -15, 0, -2 in ascending order.\nAnswer: -15, -2, 0, 0.0675, 0.1, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 21. Suppose -3*z + z + 10 = 0. Let k be c(z). Is (k - 4)*1114\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1*(-9)\/4. Suppose 0*c - c + t = 0. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182732?\nAnswer: 2, 11, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/13462297 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*j + 47*j + 5 + 45*j - 159*j.\nAnswer: 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43024 - 24374. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 = -13. Suppose 0 = 5*z + 3*a - 2, -z = b*a + 5 - 3. Let n = -1733\/7 - -248. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by -1 - (-13 - -7)\/((-2)\/(-10))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12*z - 8*z, 2*z = 5*q. Which is smaller: -7\/340 or z?\nAnswer: -7\/340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-8) - (-3)\/(-12). Let s = 4 + o. What is the second derivative of 0*w + 0*w - 2*w + s*w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822232 a multiple of 471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9108447 nanometers?\nAnswer: 0.0000000000009108447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-404)\/3*(-9)\/2. Suppose 4*g + 54 - m = 0. Find the common denominator of (g\/40)\/(-2 + 1) and -19\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4103513.4?\nAnswer: -4103514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 80.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114177 and 97866?\nAnswer: 685062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(240)\/sqrt(5)*-5 + -2 + sqrt(108) + -1)**2.\nAnswer: 420*sqrt(3) + 2985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 66. Let p = -17 - -23. Suppose -41 = -p*s + 3*s + 4*n, -4*s = 3*n - 38. What is the highest common divisor of o and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 274*g**2 - 2*g + 278*g**2 + 8*g**3 - 5*g**3 + 3*g**3 - g**3 + (-4*g**2 + 6*g**2 + 0*g**2)*(-3*g + 0*g + 2*g))*(5 + 7 + 9).\nAnswer: 21*g**3 + 84*g**2 - 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 717, 676, 619, 552, 481, 412?\n\"Answer: b**3 - 14*b**2 - 6*b + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f + 10*f + 186 = 0. Let h(l) = 39*l**2 - 27*l - 110. List the prime factors of h(f).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -1 - (-9 - 0). What is the second derivative of 26*v**4 - 49*v**4 + 23*v**4 - 3*v**b + 10*v wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 + -212041?\nAnswer: -211524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2. Let i(c) = 94*c. Calculate i(x(o)).\nAnswer: 752*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 363272*h**2 + 363271*h.\nAnswer: h*(h - 363271)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y**2 - 432*y**2 + 467*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.69976 to two dps.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1 = -2*g + 7, 5*g = -5*t + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2273 - -5275. 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 the units digit of 161\/7*5190\/(-40)*16\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 69 = -f + 2*y - 79 + 162, 20 = -5*f - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 62. Solve -2*r = -j - c, 0*j - 4*r + 6 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12992 = -2008*y + 14442 - 5346 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*y - 55, -1324718*y + 1324717*y - 9*u - 59 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7188.298l to millilitres.\nAnswer: 7188298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -17*a**3 + 75*a**2 - 15*a + 15. Let o(b) = 8*b**3 - 37*b**2 + 6*b - 7. Determine -13*o(m) - 6*t(m).\nAnswer: -2*m**3 + 31*m**2 + 12*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110010 (base 2) to base 14.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 91*k**3 + k**2 + 2*k - 19. Let q be o(5). Suppose 7*r - 37840 = q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 35 + 3*d - 35.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 9*f**5\/5 + 31*f**2 + 49*f - 2. Differentiate i(k) wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 2*u + 7*u - 9*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 20 = 37 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2219*l**3 + 4423*l**3 - 21*l**2 - 2203*l**3 + 21*l - 17. What is h(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 543 + -551. Which is the second smallest value? (a) -3 (b) 0.1 (c) -3\/4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 7 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433650.\nAnswer: 2, 5, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*d = -212 + 569 - 234, 173 = -y - 4*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310497 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**2 - 23 - 12*o**2 + 21*o**2 + 34 to g*o + c*o**2 + h and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let x be (24\/(-9))\/(2\/(-12)). Let n be (1 + q)\/((-8)\/x). Solve -n*w - 3*w + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 353939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*q - 158, q + q - 3*a - 74 = 0. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1233, 1649, 2079, 2529, 3005?\n\"Answer: d**3 + d**2 + 406*d + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(4\/3))\/(c\/((c\/c**10)\/c)))\/((c\/(c**11*c))\/(c\/c**(6\/11)*c)))**(-36) assuming c is positive.\nAnswer: c**(-1500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/48079 + 13991005\/384632. Let q = t + -109\/8. What is the common denominator of q and (-341)\/36 + 12\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 3. Let x(l) = l**3 - 5*l**2 - l - 1. Let r be x(5). Let m be v(r). Suppose -m*n = -2*j + j - 14, -5*n = 5*j - 50. Is n at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21263352 + 0?\nAnswer: 21263352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7118 + -4160. Let a be (-2)\/21*3 - n\/(-14). Let k = 497 - a. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(-1*sqrt(704) + 5).\nAnswer: -48*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 21. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 9*k**2 + 4*k - 13. Let c(i) = -i**3 - 3. Give -b(t) + c(t).\nAnswer: 2*t**3 + 9*t**2 - 4*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2438*z**3 + 10*z**2 - 129949 wrt z.\nAnswer: 7314*z**2 + 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 28, 81, 166, 289, 456?\n\"Answer: w**3 + 7*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -25.7. Let i = k + 1. Let h = 3.3 - i. What is the smallest value in h, 5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38.170167443 and 6.\nAnswer: 44.170167443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.459 + -0.489. Let p = j - -0.03. Let r be 2*-1 + 120\/50. Sort 2, p, r.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) + (-1*sqrt(1053) - sqrt(1053)) - sqrt(1053))*4 + 3 + -2 + sqrt(1053))**2 - (-1 + -5 + (sqrt(1053) + -1 + sqrt(1053))*-2)) + 3.\nAnswer: -90*sqrt(13) + 51605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 19 + 1. Suppose -3*h = -7*h - 16, -z*h - 524 = -4*c. Let b = 24 + -6. Calculate the greatest common factor of c and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let q(o) be the third derivative of 0*o**4 + 0 + 0*o**3 + 0*o + 1\/30*o**5 - 6*o**2. What is q(d(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1 - 2 - 2). Let k = 0.8 - 0.3. Let h = -12 - -8. Which is the closest to g? (a) h (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2668442 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxcxooxxcxoxxcx. Give prob of sequence cxc.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 6. Let w(j) = -1. Let d be (-2)\/2*(-9 + 5). Let h = d - -2. Let z(c) = h*w(c) - y(c). Let x(i) = 2*i. Calculate z(x(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (9 + (-28 - -9)))*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 714 - 679. What is the greatest common factor of 115 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, -2\/3, 0.3, 0.7, 1, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309561500 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 43*f - c = -17, -5*f + 5*c + 15 = 0. Solve 0 = 4*d + 4*i + 12, 3*d - 14*i + 16*i + f = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 5 (b) 0.2 (c) -1\/2 (d) 4 (e) -65\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648)\/sqrt(6) + 3.\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*o)*(1 + 0 - 3) + 0*o - 2*o - 2*o + 10*o - 28*o - 5*o + 0*o + 2*o - o)*(2*o**4 - 3*o**4 + 3*o**4).\nAnswer: -60*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*a + 1 = 646*a + 2*c, 5*c + 30 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 32\/10)\/(2\/(-415)). Let z = -310 + i. Let f = 287 - z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 20*z + 43. Let x be l(-20). Calculate the greatest common factor of 473 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lloysillisi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 145*x**2 - 633*x + 208. Calculate o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134236391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 54. Let h be (20\/(-6))\/(z\/(-9)). Suppose -5 = h*k, -g + k - 4*k = -11. Calculate the greatest common divisor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from qjjjjjjqjjjqqqqjjj?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*t**4 - 487*t**3 + 2*t**2 + 387801*t + 1.\nAnswer: 2256*t**2 - 2922*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 9*j - 4. Let a(f) = -5*f**2 - 10*f + 3. Let n(v) = -5*a(v) - 6*l(v). Determine n(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 8:58 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 3*o - 7. Suppose 2*b - 8 = 6*b. Let m be (12 - 2)*1\/b. Is 8 a factor of l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**2 + 4*v. Let r be 2*2*(-4)\/24*-9. Let s be n(r). Suppose 4*l - s = -y, 2*l + 5*y = -0*l + 354. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5590.8 + 0.1785.\nAnswer: -5590.6215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 7.86692753741?\nAnswer: -7.46692753741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/3)\/3 + 1 + -2. Let h(y) = y. Let l(j) = 18*j**3 - j**2 + 7*j - 15. Let d(x) = q*l(x) - 4*h(x). Find the second derivative of d(u) wrt u.\nAnswer: 108*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-13)\/91*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-9)\/n)\/n*n**(-9)\/n*n)**(3\/10))**(2\/15))**(-3\/11) assuming n is positive.\nAnswer: n**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6880 by -70.\nAnswer: -688\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 3}. Give prob of sequence ka.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 441121 (base 5) in base 2?\nAnswer: 11101100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 479.61 and 528.034.\nAnswer: 1007.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/401, -2\/11, -1382?\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 188. Let z = o + -91. Let t = 52 - z. What is the third smallest value in -2\/11, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 119*u + 1810. Determine g(24).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6384 by -114.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -22200?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 970\/19 + -8957\/152. What is the common denominator of r and (2\/32)\/((-1)\/58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppppjepeppj. What is prob of picking 1 p and 1 j?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o**3 + 36*o**2 + 36*o + 19. Let h(z) = 3*z**3 + 7*z**2 + 7*z + 4. Let i(a) = 2*g(a) - 11*h(a). Let w = 4 + -3. Suppose 2*n + w + 7 = 0. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -56. Let o be -15*((-1 - 0) + 8\/r). Solve 0 = -5*w - k - 0*k - 5, k + 5 = o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:01 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 26*z**2 + 194*z + 516. Let d(l) = 4*l**3 + 27*l**2 + 195*l + 518. Let u(i) = -2*d(i) + 3*v(i). Suppose u(b) = 0. What is b?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2. Let v(w) = -163254761*w. Calculate k(v(m)).\nAnswer: 159912701935002726*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218482175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 2 f when four letters picked without replacement from {j: 2, n: 5, o: 9, f: 3}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*g + 90*g - 95. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*i + i + 154 = 0, -4*h - 3*i = -296. Let z = h + -41. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*l = 646*l + 160 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nknn when four letters picked without replacement from iinnikkkikiknkinikik.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*v - 5 - 8 = 0, 5*k + 3*v = 19. Let r(y) = -4*y + 3. Let u(a) = -a + 1. Calculate k*u(h) - r(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2026, 3652, 5278, 6904, 8530, 10156?\n\"Answer: 1626*g + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -330 + 718\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 497069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**(-3\/7))**(-1\/30)*(x**0\/x)**46\/(((x*x*(x**(2\/19)*x)\/x)\/x)\/(x\/x**6)) assuming x is positive.\nAnswer: x**(-104254\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16 + 28. What is the remainder when 98 - 71 - (-558)\/2 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 j when four letters picked without replacement from {x: 2, t: 3, v: 3, d: 3, g: 2, j: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + -2*sqrt(5) + sqrt(5) + 0 + 0)*-4)**2 + (sqrt(25)\/sqrt(5)*-4 - sqrt(45)*-1)**2)*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 12366072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1910, -1706, -1260, -458, 814, 2670?\nAnswer: 5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144485 is divided by 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12310, -16569, -20828, -25087?\n\"Answer: -4259*y - 8051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*5*(-9)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (148 - 162) + 17 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j. Let r(p) = 9*p. What is -r(h) - 2*w(h)?\nAnswer: -2*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2)\/(3\/(-8)). Let c(p) = -p**2 + 6*p - 3. Let g be c(5). Suppose 16 = 2*l + g*l. Solve -4*h = 4*o - 32, -l*h + 5*o - n = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 303 and -466\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 = 7. Suppose -h*r - 8 = 5*a, 3*r - 14 = 3*a + 10. Let y be 3 + 1\/(-1) - 2. Solve y = r*u - 5*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b + 7. Let g be -1*2 + 1 + 10. Does 8 divide x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(43\/688 + (-2)\/32)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11850 + 16832. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202212101011120 (base 3) to base 9\nAnswer: -22771146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*z**4 + 86*z**4 + 11 + 0 wrt z.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -2 + -4 + -3)**2 - ((sqrt(833) + -2)*-5*5)**2) + 4 + -4.\nAnswer: -522211 + 17374*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:08 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28331?\nAnswer: 41, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262117 less than -0.66413?\nAnswer: -0.926247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 25*o + 2*o**3 + 27*o - 2*o**2 to i*o**3 + g + f*o**2 + w*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a4 (base 14) in base 9?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285095 divided by 57019.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 + 77*v**4 - 1890*v**3 - 39290*v**2 - 178591*v - 141267 = 0 for v.\nAnswer: -93, -7, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i, k = 2*k - i - 8. Let a(t) = t - 13. Let z be a(16). Suppose 8 = z*c - 7. Solve -4*q + 13 - k = -c*u, 3*q - 2*u = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - m + 6 = -y, 4*y - 3*m + 22 = 0. Suppose 6*s = 2*s. Sort -2, s, y in descending order.\nAnswer: s, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -u. Suppose 5*x - 11 = u. Suppose x*c + 0*c - 12 = 0. Solve -3*o + 9 = 0, -l = -4*l - o - c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:15 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 148949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 + 7*j - 6. Let y be i(5). Let v(c) = -c**2 + 5*c - 3. Let b be v(y). Suppose 0 = -f, 6 = 5*z - 2*f + b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -3121\/20 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r - 5. Determine s(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*p + 0*p = -25, -j = -4*p - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 9. Let a be y(-5). Let k be (-2)\/(-11) + a\/(-198). Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 4*q. Let n be a(3). Let l = -43 - n. What is the tens digit of l*5\/(15\/(-216))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152800 <= 152800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxxx when four letters picked without replacement from mxxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7313381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/241344 and 56\/57?\nAnswer: 4585536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -249 divided by 81\nAnswer: -83\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 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: b\"What is the tth term of 74, 77, 78, 77, 74, 69, 62?\n\"Answer: -t**2 + 6*t + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)*r**(-3\/19)*r*(r*r\/(r*r**(-1\/9)))\/r*r**(-31) assuming r is positive.\nAnswer: r**(-7874\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*h**2 - 774*h**2 + 347*h**2.\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1163 + -1037. What is the remainder when m is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -6755?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 + 3*w - 2. Let l be g(-4). Find the first derivative of 1 + 2*s**2 - l*s**2 + 1 - 2*s**3 wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by 39.\nAnswer: 109\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11860 * 3.1429.\nAnswer: -37274.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/7 (c) -4\/7 (d) 4\/3 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70430566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -7*c**4\/6 + 39*c. Let n(o) = -3*o**2. Determine n(l(y)).\nAnswer: -588*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-1 - -10) + (-153 - -146))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - b + 3*b - b + (7 - 1 + 1)*(-22*b - 44 + 44).\nAnswer: -153*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 34*z**2 - 59*z - 24. Let s be g(-18). Suppose -2*f + s = 4*i - 0*f, -i + 2986 = -5*f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15 + 0 + 1857*z - 1863*z. Let d be f(-3). Solve 3*c + 23 = 2*n, -d*n = -4*n + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 362361 + -150?\nAnswer: 362211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*p - 230, 0 = 2*p - c + 2*c + 118. Let v = -1287\/20 - p. Let i = 23\/5 + v. Put i, 2, 3 in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 7. Suppose -3*c - t = c - 31, 4*t + 28 = 3*c. Let k = c + -5. What is the smallest common multiple of x(k) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 8. Let p be b(-5). Differentiate 6 + 3*g - p + 4*g - 5 wrt g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*o = 12, -4*x - 2*o + 15 = x. Sort x, -3, 2\/213 in ascending order.\nAnswer: -3, 2\/213, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2, 0.03, -1\/14, 19, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 19 = 5*k, -v + 0*k - 16 = 5*k. Let u = 0.3 - 0.4. Which is the closest to u? (a) v (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n = 47*n + 209. Sort n, 0, 1 in increasing order.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -25*f**4\/6 + 5*f**3\/2 + 29*f + 2. What is the second derivative of u(m) wrt m?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/20 - a**4\/4 + a**3\/2 - 60*a**2. Suppose r(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8148, -16270, -24392, -32514, -40636, -48758?\n\"Answer: -8122*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17260, -69163, -155700, -276871, -432676?\nAnswer: -623115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -157 + 74 + (-4 - -40)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 36915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from opp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/488 and -5\/176.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101112011 (base 3) to base 14.\nAnswer: -2b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 90 - 3 + 148*t.\nAnswer: 148*t + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1097 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 {b: 2, v: 1, c: 1, p: 2, j: 2}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 + -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8640, 21424, 38344, 59394, 84568?\nAnswer: 113860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8 - 1 + 0 - 15*y + 18*y. Let u be m(6). Solve -3*l - 5*d = -5, u = -l + 9*d - 4*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129022071 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151.3 + 154.3. What is the nearest to -2 in y, -2, 9\/2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and -0.069826.\nAnswer: 8.930174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1112594, -2225402, -3338210, -4451018?\n\"Answer: -1112808*r + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1046*0.2\nAnswer: 209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ca - 3b?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335800456?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000182528 rounded to six dps?\nAnswer: 0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 34620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - f**2)*(16*f**2 - 27*f**2 - 34*f**2 - 38*f**2) to d + c*f**3 + p*f + h*f**4 + k*f**2 and give h.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/10 - 4\/5. Suppose 0 = -595*n + 12*n - 2332. Sort m, -2\/3, -5\/6, n.\nAnswer: n, -5\/6, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - (-2 + 0) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.1163 less than 0.972?\nAnswer: 196.0883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 2*-36*(-3)\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:09 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 6 + 6)*(-3 + 3 - a**3) + (2*a - 2*a + 2*a)*(a + 2*a**3 - a).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 8) to base 15.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 2*r + 174 = -14*r - 4*l, 5*l = 4*r - 151 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228502 less than -0.5?\nAnswer: -228502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, d: 7}. What is prob of picking 4 d?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4922.3 and -0.2.\nAnswer: -984.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:43 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160933, 160906, 160859, 160792, 160705?\nAnswer: 160598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.5 - 9. Put c, 2, 1 in descending order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*w = 70. What is the lowest common multiple of 98\/6 + 1\/(-3) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.186, -2\/9, 2\/11, 2 in decreasing order.\nAnswer: 5.186, 2, 2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005027 rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -901.64 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/7? (a) -3 (b) 0.1 (c) -1\/5 (d) 2\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 2}. Give prob of picking 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqveva. What is prob of picking 1 v and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 6*p = w*p + 16. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8303403 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1c02?\nAnswer: -1c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let z(b) = b. Let f(q) = 6*q. Let h(p) = p + 3. Let m be h(-5). Let n(o) = m*f(o) + 14*z(o). Calculate s(n(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*i - 545*i - 391*i + 1 - 366*i.\nAnswer: -282*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 3*f**2 + 2*f + 2. Let h(y) = 2*y**3 + 12*y + 12. Let l be h(-1). Give b(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 15?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -21614495?\nAnswer: 21614492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 2, y: 9}. What is prob of picking 2 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 36. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 876*f + 9098. Calculate z(185).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*17.5872\nAnswer: -70.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -5*q - 1, -2*l = -4. Sort 3, -4, q, 2\/17 in descending order.\nAnswer: 3, 2\/17, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805890280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457924*g**4*h**2 + 24*g**4*h - 6*g**2*h**2 + g*h**2 + 13721*g - 12*h wrt g?\nAnswer: 10990176*g*h**2 + 576*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = 31*r - 168. Solve 20 = -5*p + 5*x, r*p - 4*x = -2*p - 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 7*d - 24 = 0. Suppose 5*b + 3*n - 2 = 0, -2*n - 9 = -3*b - d. Let j be 8\/4 - 118\/58. Do j and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2550*d**3*u**2*z - 2*d**3*u*z + 311*d**2*u**2*z**2 + 74193*d*u*z**2 wrt u.\nAnswer: -5100*d**3*z + 622*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*(-1)\/(-39)*-1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8868000 to the nearest one hundred thousand.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 1656*z - 14991. Calculate x(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 11*h = 216. What is the highest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.3 (b) 0.2 (c) 11 (d) 29 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, 10, 332 in descending order.\nAnswer: 332, 10, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*x**3 - 702*c*x**2 - 105*c*x - 2*x**3 - 18*x + 1 wrt x.\nAnswer: -6*c*x - 1404*c - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035623 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 11*a**2 + 6*a + 5. Let l be p(-11). Let x = -39 - l. Suppose -x - 26 = -4*t. Solve -3*q + n + t = 2*q, 4*n + 3 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3935285 less than -3935089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3410970 - -20?\nAnswer: 3410990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-1 + 9). Let s = 1922 + -2041. What is the third biggest value in l, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x - g - 95 = 0, 64 = -3*x - 2*g for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 0. Suppose 0 + f = 5*o + 5*p, -3 = 3*p. Suppose -b = o*b - 24. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/100)\/((-9)\/(-15)). What is the nearest to d in 2, -1\/2, 22?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(5\/16))**(-29) assuming q is positive.\nAnswer: q**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 5 - 94 + 14 - 7*o.\nAnswer: -5*o - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/6 - 13*c**3\/6 - 3*c + 116. Let j(z) = -2*z**2. Determine j(f(n)).\nAnswer: -8*n**4 - 104*n**3 - 338*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2681 - -42937\/16. What is the common denominator of -29\/816 and n?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1307931*q**5 + 3*q**2 - 282624?\nAnswer: -78475860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 335*j + 16653. Give g(-43).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-68))\/(5\/240)*(-13)\/(-78)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of ((-1)\/5)\/(13\/65)*48524\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2. Let d(o) = 18*o**2 - 6. Let h = 598 + -597. Let b(k) = -k**2. Let i(a) = h*d(a) - 4*b(a). Calculate i(f(n)).\nAnswer: 88*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1991*r - 13814. What is y(-7)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/14)*v**(1\/2)*(v*v*(v\/(v\/(v\/(v\/(v*v**(1\/3)*v))*v)))\/v*v*v)\/v**12 assuming v is positive.\nAnswer: v**(-113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from bwwpwdtbwwpbwt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 90\/(-9)*2752\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 2. Suppose -109*h + 50*h = -54*h. Is h at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270499 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -251*c + 502*c - 257*c + 2 + 1. Is 3 a factor of s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 21525.\nAnswer: 193725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 4*w + 55, 4*v - 3*w + 43 = 0. Let t(b) = -2*b + 6. Calculate the smallest common multiple of t(v) and (-19)\/(-76) + 7 + 204\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060955 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/11)*v\/(v*v**(4\/9))*v*(v**(1\/6)*v)**(-24) assuming v is positive.\nAnswer: v**(-2690\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 5*j = -31*m - 3300, -3*j - 1323 = -2*m. Suppose 4*v - 2*h = 2854, 3*v + 4*h = -m + 2803. List the prime factors of v.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.0622 days to seconds.\nAnswer: 40267774.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 14. Let p be (-4)\/(-14) + 2720\/(-112). What are the prime factors of n(p)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1145879790 to the nearest integer?\nAnswer: 33851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*a + 60 = 0, -7*a = -3*a. Calculate the highest common factor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**7\/210 + w**6\/24 - 7*w**5\/60 + w**4\/8 + 19*w**2. Factor r(i).\nAnswer: -i*(i - 3)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(3854\/1645)*600\/(-175)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*d + 536 = 438*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151427 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1472 and 366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/12172)\/(-1) + 0. Let x = -170441\/33473 - v. What is the common denominator of 11\/2 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = 48. Suppose -10*y = 14 - 74. Suppose -6 = -r + y. Calculate the least common multiple of t and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -551 + 742. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1*5)\/(1*sqrt(54)) + 3)**2.\nAnswer: 10*sqrt(19) + 556\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26041*n + 1093721. Give i(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.54451863 to 0 decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -5) + -2 - -5) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-12) + 1*2\/12. Suppose k*u + 8 = 4*u. Suppose -2*a = 2*a + 2*r - 76, -62 = -3*a - u*r. Calculate the remainder when 51 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**4 - b**3 + 2. Let v(u) = -34*u**4 - 5*u**3 + 3*u**2 - 184. Let j(g) = -5*q(g) + v(g). What is the derivative of j(a) wrt a?\nAnswer: -196*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 16. Give v(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 6 - 1 - 2*f + 23.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 2. Calculate a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.078 + 2.078. Let a = -10419\/7 + 1488. What is the smallest value in 5, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 3 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1763 - 3500\/22919. Which is the nearest to 0? (a) 0.4 (b) 21 (c) 0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 20829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 - 5*h**2 + 23*h**2 - 685*h + 222*h + 242*h + 221*h.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 19. Suppose -2*w + 30 = -2*x, 0 = -3*w - 0*w - 2*x + 40. Let j be h(w). Suppose 0 = -2*y + y + 4. Solve y*k - 1 = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 35 = 5*a. Let p = -12 - a. Let k(d) = d**2 + 3*d + 6. List the prime factors of k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from nppppnppppppp?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-506)\/(-9) + (-2)\/9. Suppose 3*b - 109 = 4*u, 2*b - z = -2*u + 4*u. Let k = 5 - u. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 23457846*l**2*r**2 - 3*l*r**2 - l*r - 3*r**2 - 4563825*r + 2 wrt l.\nAnswer: -12*l**2 + 46915692*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 3*u)*(-4 + 4 + u) + 2*u**2 - 7*u**2 + 2*u**2 + 3*u**2 + 0*u**2 - 4*u**2 + 2*u - u**2 - u + u - 3*u + 3*u - u**2 + (-1 + 1 - 2*u)*(4 + u - 4).\nAnswer: -11*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 223*-0.03\nAnswer: -6.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244.2636 tonnes to grams.\nAnswer: 244263600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/874818 and -77\/16?\nAnswer: 6998544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194600*t + 1194731*t + 11004 = 0 for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*n - 1 + 7, 0 = 3*m - 2*n + 4. Suppose -2*i + 70 + 408 = m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 226.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.091 + 6.091. Which is the nearest to -5? (a) y (b) 0.5 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98382449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2940 - -20590\/7. Factor -16\/7*b - 2\/7*b**4 - 2\/7*b**5 + 8\/7 + r*b**3 + 2\/7*b**2.\nAnswer: -2*(b - 1)**3*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 371 = 11. Let c(s) = -s**3 - s**2 + s - 2. Let r be c(-2). Suppose m = o + 2*m - 7, 4*m - 4 = r. Calculate the highest common factor of o and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.14 - -0.14. Let y = -8 + g. Let o = -25.5 - y. Round o to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01609 + -5.\nAnswer: -4.98391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 894662*j + 117804?\nAnswer: 894662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 76*k**2 - k. Let v be w(1). Suppose -f - 2*f - v = -2*h, -h - 3*f = -60. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/758195 and 53\/10694540?\nAnswer: 203196260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 4*r + 1. Let b(z) = -z**2 - z. Let a(u) = -6*b(u) + f(u). Suppose -4*c - 4*s + 3 = c, 5*c = 3*s - 11. What is the units digit of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2)*j)**26\/(j*j**(1\/7)*j**(-3\/10)*j))\/((j**(-8)*(j**(-2)*j)\/j)\/(j\/((j\/(j*j\/(j*j*j**(-2\/9)\/j)))\/j))**(1\/2)) assuming j is positive.\nAnswer: j**(71359\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 30 - 4*a - 30.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2 - 9*i + 1. Let h(x) be the third derivative of -x**4\/24 + 2*x**3\/3 + 7*x**2. Calculate -13*h(s) - 6*v(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2820 is divided by 1399?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13985 + -13982. Solve 2*x - 5*j = m*x + 6, 0 = -4*x - 3*j - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12144 and 7268?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 8)*(-2*u + 4*u + 3*u)*(2 + 2 - 2).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-849)\/566*(4\/(-12) - (-41)\/27).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(200) - (-2 + sqrt(200))) + -3*sqrt(200)))**2.\nAnswer: -480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -121747.\nAnswer: 480\/121747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 4*n + 5*n. Let w(y) = -66*y**2 - 82*y**2 + 4*y + 123*y**2 - 5*y. What is w(i(o))?\nAnswer: -100*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -100000010010101010?\nAnswer: 100000010010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.6 and 9242.\nAnswer: 421435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -1112533?\nAnswer: -1112562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*b - 11, -3 - 4 = 2*u - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 265.7371 meters?\nAnswer: 0.2657371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.265 * 10.91\nAnswer: 2.89115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18324112337\/7668 - -2389686. Find the common denominator of 83\/10 and w.\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5*i - 155 = b, -3*b + 87 = -i. Let g = 113\/4 - b. Let j = -0.09 - -0.59. Is j smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 41 = -27. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 29*h + 59. Let t be b(3). Solve -t = -361*o + 357*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let w(x) = 0 + 9 - 8 - 10*x. Suppose -4*q + p - 7 = 0, 0 = -0*q - 3*q - p. Let o(v) = 11*v**2 + v + 1. Let y be o(q). What is y*s(m) + 2*w(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 + -0.07. Suppose -4*u - 2*q = -0*u - 80, 2*q - 44 = -2*u. Let a be (-3)\/7*63\/u. Put a, 0.2, r in decreasing order.\nAnswer: r, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*sqrt(152)*2*3)\/((sqrt(800) - sqrt(800)*3 - sqrt(800))*-2).\nAnswer: -1 + 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6138932 divided by 2\nAnswer: 3069466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (6 - (-2 + 11 + -11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1716 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ca (base 14) to base 16.\nAnswer: -cf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -52*a + 985. Let t be m(19). Put 2, 118, 1, t, 0 in increasing order.\nAnswer: t, 0, 1, 2, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Let i = -463\/10 + 244\/5. What is the smallest value in 1, h, 0.1, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 959 - 958. Which is greater: 718 or f?\nAnswer: 718","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 136, -607, -3, 0, 25, 5 in ascending order.\nAnswer: -607, -4, -3, 0, 5, 25, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*((3 + sqrt(171)*-3)**2 + 4)*-3*6.\nAnswer: -167614 + 5832*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2901, 3, 1.812.\nAnswer: 1\/2901, 1.812, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b087 + 49?\nAnswer: -2b03a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express 15*w - 9*w - 12*w in the form m*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3760 + 9?\nAnswer: 3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*i - 5, 2*i + 5*v + 4 + 29 = 0. Put i, -1, 2, 1 in descending order.\nAnswer: 2, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 7*j**2 + 6*j + 12. Give n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17509*s. Let m(o) = -2*o. What is f(m(j))?\nAnswer: -35018*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9 - -0.1. What is the nearest to 0.1 in g, -2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37628023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.85, 11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 20*r - 80. Let n be z(-5). Which is the closest to -0.5? (a) 5 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27636 - 13585 - 7*b - 14053.\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + x**3 + 2*x**3 + (-49*x**2 + 19*x**2 + 25*x**2 - x**3 + 5*x)*(-1 + 2 + 1) + 3*x**3 - 4*x**3 + 2*x**3.\nAnswer: 4*x**3 - 10*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9495 + 251796 = -p - v, 3*p - v + 726899 = 0. What is p rounded to the nearest one thousand?\nAnswer: -242000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8199, 191, 3 in ascending order.\nAnswer: -8199, 1, 3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 7*i + 5. Let y be 2*(-14)\/4 + 2. Calculate u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, -34, 1027 in ascending order.\nAnswer: -34, 524, 1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/6)\/10 + (-1913)\/(-3). What is the highest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93238718?\nAnswer: 2, 46619359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 195.9. Sort 0.3, i, -2, 1 in descending order.\nAnswer: 1, i, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -6, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 22 + 142. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 1 + 4*v**2 - 3*v**2.\nAnswer: v**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/60*(-2)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 4)*-5 - sqrt(95)\/(2*(sqrt(5) + 2*sqrt(5))).\nAnswer: -301*sqrt(19)\/6 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 152*f + 3416. Let n be o(-22). Suppose -3*p = 9, -5*p = -2*u - 0*p + 33. What is the greatest common factor of n and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/6 + 76\/(-57). Which is the closest to -1\/12? (a) s (b) -0.3 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.01713445 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1370 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -103. Suppose -y = y - 360000. Suppose f*v = -0*v - y. What is v rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmqx when four letters picked without replacement from exqnqxnrmrnqnnr.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8118 + 8126. What is the smallest value in 2, u, 7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x - 394 + 1754 = 35*x. Solve 11*c - x = 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-9) + (-4)\/6. Let d(f) = -f**2 + 6*f + 5. Let t be d(o). Solve 0 = -t*r - 3 + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1848741 (base 9) to base 13\nAnswer: 2a3a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or -1002130?\nAnswer: -1002130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 12:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6211 + -2108. Suppose 0 = -3*l + j + f, l = -2*j + 868 + 509. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156610 is divided by 725.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -11\/60*d**5 + 0*d - 4*d**2 + 0*d**4 - 7\/6*d**3 + 0. Differentiate y(c) with respect to c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = 41*s + 714. Let g(u) = -3*u - 4. Let d(k) = 4*k + 4. What is s*d(q) - 3*g(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1096\/822)\/((-998)\/144 + 7). Determine w, given that 69\/5*w**3 - 39\/5*w**4 + 12\/5 - 21\/5*w**5 - c*w + 15*w**2 = 0.\nAnswer: -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 5104?\nAnswer: 25520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(5*i - 2*i - 4*i) + 2 - 2 - i + (25 + 11 + 4)*(2 - 2 + 2*i)*(-1 - 2 + 1) + (0 - 4 - 3)*(-2*i - i + i).\nAnswer: -149*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/210?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) - 56\/(-7). Suppose -z*h + 167 + 108 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -8. Let x = g - 11.1. Does -14 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.47 in -3, -1, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -4.1 (b) -25.625 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*r + 37*r + 34*r - 26*r to the form m*r + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Let n(q) = 9*q**2 - 19*q - 37. Let w(y) = 4*y**2 - 9*y - 18. Let c(i) = 3*n(i) - 7*w(i). Let k be c(8). Are r and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buuz when four letters picked without replacement from {z: 1, u: 2, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -155*k**3\/4 - 619*k**2\/4 - 154*k + 1 = 0. What is k?\nAnswer: -2, 1\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -0.2529, 3\/4, -1\/3 in descending order.\nAnswer: 1, 3\/4, -0.2529, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 12470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1181?\nAnswer: -117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:37 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.726, -1, -0.5, -1\/3, -0.16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/17 - 418*i**3\/17 + 12282*i**2\/17 + 487098*i\/17 - 498960\/17 = 0.\nAnswer: -231, -24, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (-43 + (19 + 10 - -9))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 2*x = -10, -130*g - 127*g - 4*x - 9782 = 81*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) -0.5 (d) -0.6 (e) 126 (f) -22\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -l + 442. List the prime factors of l.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 15. Let z = f + 22. Is (-1588)\/(-6)*z\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 5 + 3 - 4*u**2 + 5*u**2. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + v**2 - 1\/60*v**5 - 1\/8*v**4 + 0*v + 1\/2*v**3. Let k be i(-6). Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**4 + 9*h**3 - 147 + 0*h**4 + 26*h**2 + 7*h**3 + 1. Find y, given that q(y) = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -177. Let q be (4\/(-5))\/(p\/(-85)). Let v(z) = z**2 - 18*z + 19. Let w be v(17). Sort w, -2, q in decreasing order.\nAnswer: w, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -135. What is the closest to a in -1\/5, 10, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*p - 34, 0 = 5*l - 2*l + 5*p - 50. Suppose m = -4*m + l. Let o = m + 1. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from uqkrrukqkrqrukurrr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -28. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*c + 8 - 1. Suppose 3*s + 114 = 4*m, 0 = -3*s - 2*s - 5*m - 190. Is (s + 1)\/(c\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24485, -24487, -24489, -24491, -24493?\n\"Answer: -2*s - 24483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**4 + 35*u**3 + 7*u**2 + 11*u. Let z(y) = 3*y**4 + 18*y**3 + 3*y**2 + 6*y. Let v(t) = 6*k(t) - 11*z(t). Factor v(n).\nAnswer: 3*n**2*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 8)*(0 + 0 - 2)*(-4*c + 4*c - c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -0.3 (c) -4 (d) -61654 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0\/(-5 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -45. Let d be 4\/(-8)*k\/15. Let p = 3.46 - 3.43. Sort p, d, -1 in decreasing order.\nAnswer: p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3805\/4470 - 4\/48*8 and -83\/8.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29257169 divided by 1539851.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29000039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 - v**3\/6 + v**2 - 7*v. Let k be o(0). Let r = -21321\/17 - -1255. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 11. Let q be (-22744)\/10 - (-4)\/c. Let n = -2270 - q. Find the common denominator of 49\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1443267?\nAnswer: -1443263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 13 = -y - m, -4*m = -y + 23. Calculate the highest common divisor of 152 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34372496?\nAnswer: 2, 109, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127433 divided by 361?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - 2.93. Let o = -8.97 + 0.07. Let j = -12.9 - o. Sort 3, j, l in decreasing order.\nAnswer: 3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 625, 1, 1570, -1 in increasing order.\nAnswer: -1, 0, 1, 11, 625, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 68*b**3 + 6 - 3*b**2 + 63*b**3 - 132*b**3 + 5*b. Let r be u(-4). Solve 5*j + r*y = -2*y - 4, -j - 5*y + 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 11095 = -5525 - 5282 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18780 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -0.1 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(832) + -1*sqrt(832) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -2806.\nAnswer: -561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 1 + 1)*(3 + 0 + 0)*(4*g - 3*g - 3*g).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*y**4 + 11303*y**3 - y**2 + 4829896*y wrt y?\nAnswer: 552*y**2 + 67818*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 37*l**2 - 43*l + 192. Let s be i(38). Suppose 0 = -s*x - 4*y + 1116 + 804, -4*y = -2*x + 1952. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 543, 551, 565, 585, 611?\n\"Answer: 3*m**2 - m + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321 - 1018. Let u = -697 - l. Which is the nearest to 1? (a) 2\/13 (b) u (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 113\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 0, -2*u = 5*b - 852 - 3593. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6341927.83 to the nearest ten thousand.\nAnswer: 6340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203794 and 65740.\nAnswer: 2037940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*t**2 + 134\/3*t + 136\/3 = 0. Calculate t.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - -0.4. What is the nearest to 1\/2 in 2\/5, u, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 - 113*w - 1 + 34*w + 42*w + 47*w + w**3 + 0*w**3. Calculate r(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r)**(4\/19)*r\/(r*(r\/(r*r\/((r\/(r*r*r**(6\/7)*r))\/r)))\/r)*r*r**6 assuming r is positive.\nAnswer: r**(1766\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 433497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13340)\/1595*1\/1)\/(15\/(660\/(-8)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 15*h - 13. Suppose y = 2*x - 16, -6*x + x + 75 = -5*y. Let i = -9 + 21. What is the lowest common multiple of o(y) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454003167 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 + 26972*p**2 + 11306596*p + 11279620 = 0. What is p?\nAnswer: -395, -1, 7139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {n: 1, x: 1, j: 3, v: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 26 + (-4 + 11 - 30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 1718*s + 25 = -1721*s, -s = -v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-2)\/12). Suppose 7*y = 6*y + 3. Suppose -10 = c - y*c. What is the highest common divisor of z and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 4*g - 1. Let f be n(3). Suppose -5*z + 4*z = -4*t - 16, f*z - 4*t = 16. Let k be 4\/6 - (z - 6\/(-9)). Solve 3*p - 3 = -k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11226*c - 2070 - 4839 = 11373*c for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*x**3 + 370*x**3 + 40*x**3.\nAnswer: 724*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1315*z - 502. What is the remainder when k(-7) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = 37*i - 1197. Determine u, given that 3*u**2 + 0 + 147\/4*u**4 - i*u**3 + 0*u = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 1156*j + 7074. What is p(295)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18887900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c + 445. Let l(p) = 9*p + 232. Determine -9*l(h) + 5*z(h).\nAnswer: 4*h + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23304707*m**2*o**3 - 14995919*m*o**2 - 2*o**3 wrt m.\nAnswer: -46609414*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 0.6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34484\/15 - -2300. Let d(u) be the second derivative of -u + b*u**3 + 0 + 1\/6*u**4 + 4\/5*u**2 - 7\/50*u**5. Factor d(k).\nAnswer: -2*(k - 2)*(k + 1)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -95490?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3434192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3aa8488 (base 11) to base 4\nAnswer: 123001031033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165 + -89178?\nAnswer: -89343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -16440\nAnswer: -180840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19*m**3 - 13*m**2 - 6*m + 42. Let y(f) = -27*f**3 - 20*f**2 - 8*f + 64. Calculate -7*d(g) + 5*y(g).\nAnswer: -2*g**3 - 9*g**2 + 2*g + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 5*i. Let j(k) be the third derivative of k**4\/24 - k**2 + 44. Determine j(r(x)).\nAnswer: 2*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 5*t)*(-26*t + 1395 - 1395).\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -541751483 divided by -13\nAnswer: 41673191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2\/5 (b) 1\/4 (c) 0.2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from err. Give prob of sequence er.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -840, -1674, -2494, -3294, -4068, -4810?\nAnswer: -5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 10*d**2 + 2*d + 3. Let m be z(3). Let v(h) be the first derivative of 1 + m*h**2 + 1\/3*h**3 + 0*h. Determine n, given that v(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2991, 6123, 9405, 12837, 16419, 20151?\nAnswer: 24033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10974 divided by 354.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1392 - 175?\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 8. Let q = -38683\/8 + 4826. Find the common denominator of -4 + 1 - 81\/g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -977b89 (base 14) to base 16.\nAnswer: -4e4a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 10)*(-3*w**2 - 9 + 9).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -528 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 15. Suppose -2*a - 1 = -w. Suppose 3*v + 3*j - 30 = 0, a*v + 4 = 3*v - j. Calculate the smallest common multiple of v and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94919371, 94919372, 94919373, 94919374, 94919375?\nAnswer: 94919376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2644053 + 1234?\nAnswer: 2645320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -28*p**5\/5 - p**3\/3 + 15*p + 67. What is the third derivative of m(o) wrt o?\nAnswer: -672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*h - 3*d - 832 = -587*h, -5*h + 1040 = d. What is the least common multiple of 3458 and h?\nAnswer: 27664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:16 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*r**3 - 1360 - 5*r**2 - 2*r + 896*r**3 - 231*r**3 - 211*r**3 - 228*r**3 in the form v + t*r**3 + d*r**2 + m*r and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-2)\/(-4)*-3). Suppose 0 = 2*o + 3*f + v*f - 3, -f = 5. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11913150.26286 + -10702350.2634. Let a = 1210865 - d. Let m = -65 + a. What is m rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7600 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + -10 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 - (89 - (-35 + 78))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.6 (b) 0.02 (c) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1305 - 1278. Calculate the smallest common multiple of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 151.434?\nAnswer: -45.4302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3 + 19*y. Let s(n) = -n**2. Calculate s(f(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36 and -408489624.0369.\nAnswer: -408489588.0369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3473, 6993, 10527, 14081, 17661, 21273, 24923?\n\"Answer: p**3 + p**2 + 3510*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 10440686?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*d + 81, -38*m + 39*m + d = 41. What is the highest common divisor of m and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 56*c + 8. Let k(h) = 3*h + 4. Give -10*k(u) + z(u).\nAnswer: 26*u - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57174 = 22*b - 46*b - 115*b - 54116 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 + 10 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 12*z + 18. Let t be s(-14). Let g(w) = w**3 + 10*w**2 - 3*w - 9. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -83*v + 503. Let p be u(6). Solve 8 = 2*y, 6 = -p*o - 2*y + 6*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = 10. Let 12*r**2 - r**4 - 23*r**3 + 9*r**o - 5*r**4 = 0. What is r?\nAnswer: -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**5*p - 141*g**2*p**3 + 5*g*p**2 - 64*g*p + p**3 - 16*p wrt g.\nAnswer: 60*g**3*p - 282*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1\/6 (c) -18\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 44 - 394. Calculate the remainder when g is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/54*3)\/(2486\/(-264) + 9)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-182)\/(-70) - (-4)\/10. Suppose l*a - 4*a = -329. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 11931323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085 + 2096 + -8 + 1 + (-2 - 4 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105189*a - 105175*a = 3*b - 34, -4*b = 2*a - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:49 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41+-11177849000\nAnswer: -11177848959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -47. Suppose -2*s = -2*b, 0*s + x = 3*b + 3*s. Solve 0*c + 2*c + 22 = 4*f, -b*c + 3*f = 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 1\/7, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1067?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -23*u + 3. Let z(w) = -3*w. Determine p(t) + 5*z(t).\nAnswer: -38*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 795844 and 392?\nAnswer: 11141816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 25*w**2 - 46*w + 12. Let h be m(-23). Solve 2*x = -x - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (8 + -1)) + 2 + -551 + 554?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {j: 7, h: 6, k: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -220?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (167 - 80 - 87 - 445*o)*(2 - 2*o - 2) in the form r + b*o**2 + x*o and give b.\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 108304815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g - 1. Let j be u(-3). Suppose 3 - j = -c. Put 1, c, 4 in descending order.\nAnswer: 4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1257 + -44789?\nAnswer: -43532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:20 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**6 + h**3 + h**2. Let b(g) = -2*g**6 - g**3 - 4*g**2. Let i(w) = b(w) + j(w). What is the third derivative of i(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081636 is divided by 540812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 58827.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361\/2*i**4 + 0 - 513\/4*i**3 + 21*i**2 - i.\nAnswer: i*(2*i - 1)*(19*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, v: 1}. What is prob of sequence np?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -19*d - 34. Let b be g(-2). Solve 0 = 7*i - b*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (1\/(-5) - (-531)\/(-45)). Let q(m) = -19*m + 65. Determine q(j).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/77*8\/(-20). Factor 0 + 0*l**4 + 4\/11*l**3 + 0*l**2 - m*l - 2\/11*l**5.\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 140, -2\/187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 + 25 - -30 - -129?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -2) - -2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w - 1\/30*w**5 + 6*w**2 - 1\/24*w**4 + 1\/30*w**6 + 0 + 0*w**3. Let d = 2 + -3. Calculate g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 234\/360 - (-2)\/(-8). What is t in 8\/5*t**2 + 4\/5*t**5 + 0*t - d - 6\/5*t**4 - 4\/5*t**3 = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1109516 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i + 95*i - 18*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 362311*l**2\/2 - 3623149*l\/4 + 5072389\/2.\nAnswer: (l - 724627)*(l - 2)*(l + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15623 is divided by 487.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppopppppppp. Give prob of sequence ppop.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4215*w + 4219*w - 4*u = 0, 0 = 2*w - 5*u - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 8*i**4\/7 + 1711854*i**3\/7 - 43229364*i**2\/7 + 10700350*i\/7 = 0.\nAnswer: -214007, 0, 1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.509 + 0.589. Is -2\/17 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**4 + 30*l**4 + 13*l**4 - l**3 - l**4 + l**3 + (-5 + 2 + 2)*(-5*l**4 - l**4 + l**4) + l**4 + 2*l**4 + 0*l**4.\nAnswer: 61*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 - (1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17\/3 (b) 35 (c) 400\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 8816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 51 - 40*t + 3*t**2 - 37*t + 70*t. Is u(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-6)\/5 - -2). Suppose h*d + 132 = 8*d. What is the remainder when d is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -24*b - 77. Let i(x) = 21*x + 77. Determine -7*i(m) - 6*u(m).\nAnswer: -3*m - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:47 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.679 - -8.321. Which is the nearest to o? (a) -102 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/2 (b) -0.4 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997612 = 599*z + 1005998 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 3}. Give prob of picking 3 p and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r = 104*r - 4. Suppose r*p = c - 31 - 75, -4*c + 4*p + 364 = 0. What is the greatest common factor of c and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*x - 60 = 336*x. Let z be 12\/(-10)*25*-1. Let f = x + z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-3) - (-3004280)\/285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304230730?\nAnswer: 2, 5, 757, 40189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.699 - 1.8. Let l = 2.899 - j. What is the biggest value in l, -2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m + 1. Suppose 5*i - 11 = 5*p - 6*p, -p + 7 = 3*i. Sort 1, m, i in descending order.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189135680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/74003 + 8806393\/1332054. Let d = -2 + -2. Calculate the common denominator of 1158\/(-44) - d\/(-22) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 - -8.9\nAnswer: -151.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34895 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12, 0 = 3*r + 3*j + 572 - 215. Let l be 30\/(-150) + r\/(-10). Suppose -5*y + 24 = v, -4*v + 3*y = 7*y - 32. Solve -v*a = 8 - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-165)\/(-42) + -4)\/(7\/14). Which is the third biggest value? (a) s (b) -3 (c) -5 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*r - 60 = 0, 3*r - 87 = -2*u - 2*u. Let c be (-4)\/2 + 420\/70. Solve -u = c*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121403 (base 5) to base 15\nAnswer: 5ed8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 2. Suppose -7 - k = 4*u. Let g(p) = -2 - p + 3 + 1. Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -h + 6*v, -2666*h - 2*v = -2661*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95\/112 - 9\/16. What is the closest to -0.1 in 2, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113076988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779648?\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20376 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -4*s + 21. Let q be 3 - ((-11)\/s + 1). Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let t = f + 2.3. Let n = 1449 + -1448. Which is the closest to -1\/4? (a) t (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 9*a**4 + 3*a**3 + 9*a**2 - 6*a.\nAnswer: 3*a*(a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4015154 (base 6) to base 3\nAnswer: 100121100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-22)\/2 + 3. Let f = -6 - b. Solve -2*l + f*y - 1 = -27, 4*l - 4*y - 32 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -684 + 29571?\nAnswer: 28887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179653, 718588, 1616803, 2874292, 4491049?\nAnswer: 6467068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:45 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 924 - 636. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 4. Let m(l) = -15*l - 3. Give -5*c(r) + 5*m(r).\nAnswer: -65*r - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a = 64607 - 62709 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 2*u. Let i(n) = 2*n - 7. Let q be i(6). Let l = -7 + q. Determine b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 - 4*x + 7. Suppose -4*g + p + 3*p = 4, -5*g + p = -15. Let m be g*1\/20 - 26\/5. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18)\/(1*2\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + k - 62 = -11, 11 = -c + k. Let r = c + 12. Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -11. Let h = 9 + q. Let t = -1807 - -1808. Solve -h*n = -2*n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 l when four letters picked without replacement from eexelxellxlelxe.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6 = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**3*u*y - 2*m**3 - 79*m*u*y + 2*u*y - 20*y - 3 wrt u?\nAnswer: 2*m**3*y - 79*m*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = 11. Suppose 0 = 5*a - x + y, -5*a - 1 + 11 = 5*x. Let w be 1\/((-3)\/36*a). Solve 0 = 5*m + q - 25, 2*q - 25 = -w*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = 2*x - 6, -4*x = 3*q - 47. Let f = -12 + x. Solve -f*v = -6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475668 is divided by 15344.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 - (24 + -26)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 28 - 2 = -5*s, 0 = -3*s - 3*l + 27. Let w = -33 + 35.8. Let x = 3 - w. Put s, x, -5 in decreasing order.\nAnswer: s, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309027881 to the power of 1\/2, to the nearest integer?\nAnswer: 48052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5075948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-12)\/39) - -2. Let a be ((-12)\/u)\/(4\/(-50)). Let s be (-2)\/8 + (-162)\/(-8). What is the greatest common divisor of s and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468663277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 71\/5, 4, 18, 3.4588?\nAnswer: 3.4588","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7618184149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1378. Suppose -6*s = c - 4496. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/(-40)*100\/6. Let l(n) = 2*n**2 + 81*n + 60. Let f be l(i). Determine s so that 38\/3*s**3 + 10*s**4 - f*s**2 - 8*s + 16\/3 = 0.\nAnswer: -2, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a7e35?\nAnswer: a7e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4096 and -31\/301136?\nAnswer: 77090816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n - 24. Let i(y) = 33*y - 47. Let o(q) = -6*i(q) + 11*t(q). Let p(b) = -4*b + 6. Let z(d) = -6*o(d) + 17*p(d). What is the units digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 467*m**3 - 2*m**2 + 64*m - 64. Calculate o(1).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31939 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 146426000 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -499\/1665 - -23\/74. Let g(z) be the second derivative of 12*z + 0 + y*z**4 + 0*z**2 + 1\/9*z**3. Factor g(a).\nAnswer: 2*a*(a + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63027523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) - 88\/(-14). Let q = s - 9. Calculate the least common multiple of 12 and (-62)\/q - (-2)\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 - 2*o + 8. Determine g(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 363 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106096987 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**7\/420 + u**6\/135 - u**5\/180 - u**4\/18 - 2*u**3\/3 + u**2. Let r(m) be the first derivative of w(m). Factor r(g).\nAnswer: 2*(g + 1)**2*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.17 + -0.46. Let v = 0.96 - l. Let y = v + -0.25000116. Round y to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose f*r = 12, 4*q + 0*r = -r - 93. Let p be ((-40)\/(-15))\/((-2)\/q). Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + 0.03. Let v = -22 + 24. Suppose -6*k = -v*k + k. Which is the closest to -1\/3? (a) 0.4 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 9*k + 10*k + 9*k - 12. Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40768 = 97*f - 83*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -y + 4*x + 19, 2*y + 22 = -4*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.48103, -3 in decreasing order.\nAnswer: 0.48103, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 2*z - 4. Let n(r) = 4*r**2 + 3*r + 3. Let x(w) = 5*m(w) + 6*n(w). Let p(i) = i**3 + 4. Let j be p(-4). Let l = j - -67. Determine x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1.95, 5, -2\/15755?\nAnswer: -2\/15755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52584 + -52585. Suppose -r + 4*d + 1 = 0, 5*d - 6 = -r + 4. Sort r, 1, -3, j in descending order.\nAnswer: r, 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = 15*x - 32*x. Is x != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12728 and 141599.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.4 = -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*r = -69, -4*r + 5*r = -2*z + 21. Let q(b) = -z*b + 4*b - 4*b. Suppose -17*w = -11*w - x + 4, x - 3 = 5*w. Calculate q(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**6\/60 - 29*t**5\/30 - 11*t**4 - t**2 + 254. Let b(k) = 0. What is k?\nAnswer: -4, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:44 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 970 and 782305.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -49. What is the nearest to 2 in z, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 - -14.75. Let f = w + -10. Which is the nearest to 0.2? (a) -4 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17409152?\nAnswer: 2, 43, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 3*a + 11711399 + a**3 - 3*a - 3*a + a**2. Let p be c(0). Suppose -3088601 = 4*y + p. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a (base 11) in base 4?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 - 732*b**4 - 3612*b**3 - 6474*b**2 - 5025*b - 1434 = 0?\nAnswer: -239, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*h - 5 = 6*d, -2*d - 4*h = -14. Suppose -2*t + 5 = -d. Suppose 0*r + t*r - 63 = 0. Calculate the remainder when 62 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 0 + (4 - -201) 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 11:23 PM and 3:26 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 324*t**2. Let i(j) = 289*j**2. Give i(c(k)).\nAnswer: 30338064*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13064\/34)\/2 - 264\/2244. Suppose -2*h + 5*g + 104 = 0, -4*h + 2*g = -0*g - b. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 12\/39358781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*v + 6 - 224*v - 82*v + 2*v**3 - 6.\nAnswer: 2*v**3 + 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = -4*w, n = -0*n - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1 - 5*k - 11*k + k. Does 11 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 28*r**3 - r**2 + 1 - 975*r.\nAnswer: 28*r**3 - r**2 - 975*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:01 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -320.0619908 to two dps.\nAnswer: -320.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2171940 divided by 6\nAnswer: -361990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 25*k**4 + 73*k**3 + 90*k**2 + 47*k + 12. Let u(a) = -12*a**4 - 36*a**3 - 45*a**2 - 24*a - 6. Let j(w) = 3*t(w) + 7*u(w). Solve j(s) = 0 for s.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*o + 574 + 74 = 0, n + 2*o - 633 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 10. Let d be a(10). Suppose 2*g + g = d. What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let v = -26041 - -26043. Solve 0 = -3*g - 2*n - 1, -z*n + 5 - 4 = v*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -r - r - 6, 6 = s - 2*r. Let j be 6\/12*(6 + s). Find x, given that -39*x**2 - 4*x**4 + 18*x**j - 12 - x**4 + 36*x + 2*x**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/4 + 2*o**3\/3 + 2*o**2 - 17*o. Let g(j) = -j**3 - 4*j**2 + 2*j + 3. Let t be g(-4). Is i(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**6\/30 - h**4\/2 - 7*h**3\/2 + 7*h + 6. What is the second derivative of b(d) wrt d?\nAnswer: 12*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2359 divide 66953138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 64297?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 107. Let b = -38 + q. Let d be (1 + b)*(-3 + -4). Solve c - 3 = -d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600832958.00000013 + -1600832968. Let f = w + 10. What is f rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.40354 + 74.65346. Let y = l + -75. Let s = 0.943 + y. Are -0.55 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89329840 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1305)\/(-20))\/(-29)*32\/(-12)*3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let q(n) = 4*n - n + 2*n + 2*n. Calculate a(q(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-12 + 13)\/(1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 618606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.1912368 rounded to 3 decimal places?\nAnswer: 104.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:30 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3197 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 6*i**2 + 18*i + 10.\nAnswer: -2*(i - 5)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 301526 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 9*o**3 + 2*o**2)*(1 + 2*o - 1) + 10*o**4 - o**4 + 82*o**4 in the form l*o**4 + s*o**3 + v*o**2 + n + w*o and give l.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 501 - 2*u**2 + 5*u - 540 - 5*u in the form l*u**2 + b*u + w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 10, w: 6, q: 4}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:39 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*m + 1 = -19, -5*m + 20 = 5*w. Suppose -4*c + 24 = 4*k, -5*c - 3*k + k = -24. Suppose -t = w, 4*r + 3*t - c*t = 16. Which is smaller: 39\/8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*w**2 + 32*w**2 + 3*w**3 + (-1026*w**2 - 148 + 77 + 71)*(2*w - 2 + 2).\nAnswer: -2049*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*(-3)\/2. Let p(j) = 4*j - m*j + 6 - 8 + 3*j**2. Let l be p(-3). Solve -y = -4*f - l, -4*f + 3*f = 4*y - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3510*b**2*r**3 + 7*b**2*r**2 - 12374*b**2*r - b + 2 wrt r.\nAnswer: -21060*b**2*r + 14*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 4*w + 1357, i - 453 = -2*w. Let g = -90 + i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**7\/28 + 19*s**6\/360 + 7*s**3 - 29. Let y(v) be the third derivative of l(v). What is the third derivative of y(d) wrt d?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -15. Let p = z + -5. Let i = p + 14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 - 2*k**2 - 3*k - 2. Let h = -18 + 21. Let s(l) = -l**3 - l - 1. Let b(j) = h*s(j) - x(j). What is b(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, d: 7, h: 2}. Give prob of sequence vvhh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztv when three letters picked without replacement from {z: 2, p: 3, t: 5, x: 6, v: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 19*p + 186 = 0. Calculate the remainder when p is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -835802.774 - -3.3.\nAnswer: -835799.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -0.3, 5\/4, 2.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 6*y - 5*y, -n = -5*y + 1. Sort n, 5, -1, 20 in ascending order.\nAnswer: n, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aadd when four letters picked without replacement from daddyyda?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 4872251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109608 and 152021729.\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12030433.5200404 + 12030436. Let v = -2.48 + u. What is v rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854116*o - 854116*o + 0*o**3 + 82*o**2 + 2*o**3.\nAnswer: 2*o**3 + 82*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/37) + 0. Let g be (-172)\/(-21)*(-9)\/(-2). Let p = g + v. Sort p, 1, 1\/9.\nAnswer: p, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138184 is divided by 72?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f - 176*f + 5663632 = -32*f. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*x + 3*x. Let m(b) = -b**2 - 7*b + 2. Is m(x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -1 + 1 - 2. Let w(o) = 2*o - 6 - 4 + 6 - 4. What are the prime factors of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 10*u**2 + 9*u + 2. Let m be f(-9). Find the third derivative of -14*o**4 + 3*o**m - o**2 + 10*o**2 wrt o.\nAnswer: -336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:37 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 8 = 10*g. Suppose 2*n + 2 + 0 = 0. Is g at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 48. Let h be ((1 - -3)\/q)\/(34\/(-119)). Let t(g) = -g**2 - 11*g - h*g + 28*g + 4 - 5*g. Calculate t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3. Let i(d) = d**2 - 7*d**3 - d**2. Let x(p) = p**3 - 3*p**2 - 5*p + 5. Suppose 5*v - 10 = 10. Let w be x(v). Calculate w*i(o) + 6*g(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -83. Let n(v) = v**2 + 76*v - 1973. Calculate the remainder when n(21) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = -3*m, -3*z = -m - 16. Solve 5*i + z*g + 8 = 0, 3*g - 17 - 8 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*x - 8096, 4*g + 13*x - 10838 = 15*x. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, 3, 4, -4 in decreasing order.\nAnswer: 4, 3, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19133 - -34817. What are the prime factors of b?\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:54 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/((-7700)\/693))\/(6\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 2)*(-5 + 2 + 5) - 5 + 0 + 2 + 0 + 4 + 2)*(-3*n + 0*n + 0*n).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29322 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28 (b) 2 (c) -4\/11 (d) 0.037 (e) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**3 - 10*n**2 - 7*n + 13. Let w(g) = 3*g**3 + 3*g**2 + 2*g - 4. Let z(m) = 2*m**2 + 93*m - 247. Let i be z(-49). What is i*f(q) - 7*w(q)?\nAnswer: -3*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757552?\nAnswer: 2, 3, 7, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 + 238 - 12*b + 245 - 775.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3)\/((-1)\/10). Suppose -3*d + u = 5*o, -4*d + 10 = -2*d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 7*d**2 + d - 4. Let q be s(7). Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-166)\/4067)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 78404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 176 (b) 0.6 (c) 0.4793\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dd87f (base 16) to base 15.\nAnswer: -28982c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 4. Let z be ((-1401)\/(-2) - 4)*g. Suppose 0 = 2*x + 5*x - z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86870\/19 + -4571. What is the common denominator of x and 81\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37294 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - 4) + 3 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(13\/((-455)\/(-40))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2650921 - -421\nAnswer: -2650500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = -575. Let g = v + -80. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, -4\/5, -469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, 1.\nAnswer: -10, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a - 21*a = 24*a + 22*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Suppose -4*f + 77 = -2*f - 3*v, 5*v - 87 = -w*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 227568 divided by -9482?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65052339 to the power of 1\/2, to the nearest integer?\nAnswer: 8066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33132 - 414?\nAnswer: -33550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4100223 (base 5) to base 13\nAnswer: -23b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290907057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*l - 134*l + 20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 - 260*u**2 - 49*u - 261. Give j(-65).\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 5*p + 7. Let b be j(-3). Suppose 7*m - b*m + w = 27, 2*w = 5*m - 56. Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/45)\/(-2*(-1)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (12 - -10 - 15)) + (-10 - -39).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -58. Suppose 0 = k + 2*k + 2*q - 99, k = q + i. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1690308 * 1.6.\nAnswer: 2704492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3\/3 + 666*y**2 - 296324*y\/3 - 99440 = 0.\nAnswer: -1130, -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -3*k. Let y = k + 6. Solve -3 = 3*d + y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:06 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y + 4. Let w be ((-2)\/(-4))\/((-1)\/12). Let g be 3\/w*-2 + 3. What is the remainder when 14 is divided by l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/15 and 1 + (-16)\/(-36)*51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 230408 = -11*p - 2*u, 16 = -4*u. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1502 + 15057\/10. What is the common denominator of -99\/8 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19518 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 - 126\/(-81)) + (-4475)\/(-45) and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 11*x + 37. Determine i(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**3 + i**2 - 4*i + 3. Let z be o(1). Let y = 27 + z. Which is the smallest value? (a) y (b) -4 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9814 - 9.\nAnswer: 9805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose 5*x + 15 = q, x = 3*w - 4*w + 173. Let r = 44 - 28. Calculate the highest common divisor of r and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, k: 9}. What is prob of picking 1 n and 2 k?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*y - 5199 - 5084 = -856*y - 266*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2567 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 3*t + 4677. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -0.23, -3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925970 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 18, -5\/3, 0.3 in increasing order.\nAnswer: -5\/3, -1\/6, 0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/3768 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -40*b**2. Let h(k) = 3*k + k + 3*k - 6*k. What is h(j(c))?\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287483 is divided by 183923.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5)*(q*q**(-1))\/q)\/(q**2)**(10\/13) assuming q is positive.\nAnswer: q**(-87\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + 0 + sqrt(2299) + 1 + sqrt(2299))**2 - ((sqrt(2299) - -3*(sqrt(2299) + 0))**2 + sqrt(2299) - -5*(sqrt(2299) + sqrt(2299)*1 - sqrt(2299))).\nAnswer: -27584 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -19, -1, -0.2, -192, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13262*q + 676402. Give g(51).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15646604 (base 7) to base 5\nAnswer: 342241330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27, 1, -1.4 in decreasing order.\nAnswer: 1, 0, -1.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -278256*d**2. Let u(q) = q**2 + 8. Determine u(m(b)).\nAnswer: 77426401536*b**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22 and 245\/110 + (-4)\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.913 + 0.083. Let o = a + 0.793. Let g = o - -0.036989. What is g rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 16 = n. Let o(a) = 2 - 3*a - 3 - 3 + 3. Let v(h) = 13*h + 5. Let y = 3 + -5. What is n*o(t) + y*v(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-83 - 0) - (41 - (-41 + 84))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + 11. Let s be f(0). Let k be s\/(-3) - 2\/(-3). What is the nearest to -2\/5 in -2\/3, 0, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2906, 2961, 3068, 3233, 3462, 3761?\n\"Answer: h**3 + 20*h**2 - 12*h + 2897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3269808 divided by -48.\nAnswer: -68121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dud when three letters picked without replacement from uuuuuuuduud.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 5*q - 8*q)*(4 - 4 + 1)*(-2*q**4 - 2*q + 0*q - q**4).\nAnswer: 33*q**5 + 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(912)*-3 + sqrt(228)\/(sqrt(4)*-2))\/(((sqrt(432) - (sqrt(432) - sqrt(432)*-2) - sqrt(432)) + sqrt(432) - sqrt(432)) + (sqrt(15)*-2)\/sqrt(5)).\nAnswer: 25*sqrt(19)\/76 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -495, -508, -521, -534?\n\"Answer: -13*l - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*j**2 + 254*j**2 - 507*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 + 11*h - 13. Let d be i(8). Calculate the greatest common divisor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*f - 17*f - 389677 + 385997 = 0 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2106 and 47862.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378748695804 - 378748695804 + 42*c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2422246?\nAnswer: 2422242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:22 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - 15*m + 16. Is d(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:59 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.699 - -0.1.\nAnswer: -1.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k + 3. Give r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/110*(-40)\/6. Let p = 40 + -29. Suppose 0 = 5*y + 3*n - 80, -4*n + 9 + p = 0. Solve 5*o + y + m = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95031, -94520, -94005, -93486, -92963, -92436, -91905?\n\"Answer: 2*d**2 + 505*d - 95538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104036 by -31.\nAnswer: -3356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**14)\/m**(-3) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192150.\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -769\/30 - -262\/15. Calculate the common denominator of b and 8\/(-60) - ((-640092)\/360)\/(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3110 is divided by 633.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1456 and -203.\nAnswer: -295568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(121) + sqrt(121) + sqrt(121) - sqrt(121))*-4 + 2*sqrt(121)*-1)\/(2*sqrt(44) - (sqrt(396) - sqrt(396)*-2)))**2.\nAnswer: 275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56719.878 + 56807. Let r = -87 + o. Let s = r - 0.233. Round s to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 156*m**2 + 2*m + 1. Let y(g) = 2*g**2 - g + 1. Let b be y(2). Let l = 9 - b. Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -7093 (b) 2\/3 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/100 + 7*s**4\/40 - 22*s**3\/5 - 126*s**2. Factor a(x).\nAnswer: 3*(x - 4)*(x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/14 and 89\/2840?\nAnswer: 19880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-5))\/2*174780\/72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263791?\nAnswer: 3263791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, g: 1, e: 4, k: 1, m: 9}. What is prob of sequence me?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2223633*n - 28907238. Determine c(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -86. Let v = 83 + a. Let y = 23 + -5. What is the remainder when v is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggcccccc. What is prob of picking 2 g and 2 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqj when three letters picked without replacement from {p: 1, q: 2, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102747?\nAnswer: 3, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 5. Let s be (-95)\/(-20) - (-1)\/4. Let b be i(s). Solve -6 = 2*a - 0*a + 3*g, b = -5*a - 5*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**5 - b**3 - b**2 + 2. Let k(o) = 157*o**5 + 2*o**3 + 8*o**2 + 8*o - 4. Let a(n) = 2*c(n) + k(n). Find the third derivative of a(r) wrt r.\nAnswer: 9300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 11 - 1. Suppose -2*r + 3*m + m + 12 = 0, 5*m + 28 = -4*r. Let w = r + i. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26327?\nAnswer: 7, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*z = -36. Let x = z + 12. Which is bigger: 2\/3 or x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100079 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.7623, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:45 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.342 - 54.342. Which is smaller: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 8*v - 3970. Suppose -2*a + 0*a = -v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k**2 + 19*k + 2 - 19*k)*(0*k + 2*k**2 + 0*k) in the form f + l*k**4 + v*k**2 + x*k**3 + r*k and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2627, 2603, 2579, 2555, 2531?\n\"Answer: -24*g + 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/(-3 + 94\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*0.036.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 16 + 12*f)*(0 - 1 + 3)*(4 - 4 + 2*f) to the form k*f + o*f**2 + c and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = 2*k - 14, k = 2*t - 13. Let w(y) = t*y**2 - 9*y**2 + 27*y**2. Let r(m) = 2*m. What is r(w(v))?\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c**2 + 0 + (-5 + 4 + 3)*(-2*c**2 - c**2 + 4*c**2) - 2*c**2 - 2*c**2 + 3*c**2)*(c + c + 0*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 7*v + 6*v + v. Let g be f(0). Let s(i) = -i**2 + 2*i + 4. Let k be s(g). Solve -k*m + m + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*w + 21 + 9 = 0, -5*w - 10 = -5*r. Solve r*a + 13 = 2*k - k, 5*a = k - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 7*m - 4. Let d be b(-6). Suppose 4 + 16 = -4*r, d*g + 19 = -5*r. Let y(a) = 2*a - 4. What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*v = 19, -15 = -3*a - 10*v + 13*v. Solve c - a = -0, -3*c - 12 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 - 4*m - 6. Let x be j(-4). Let b be (x\/4 + 2)*6. Suppose -b*p = -p. Solve p*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 q, and 1 h when four letters picked without replacement from qnnnnhnhhxqxh?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 2*u**2 - 2*u + 3. Let w be v(2). Let l = 4 - 0. Sort w, l, 0.\nAnswer: w, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1460132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 14*o - 47. Let c be q(8). Sort -5, 4, -11, c in decreasing order.\nAnswer: 4, c, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 7. Let v = 86 + m. Suppose -v = -3*w - t, t = -4*w + 87 + 21. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555713417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-5)\/((-15)\/33). Let o be (a\/(-6))\/((-4)\/(-12)). Suppose -3*g - 8 - o = 0, 2*p - 4*g - 18 = 0. Put 5, 4, p in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126354443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 305 - -1b?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Suppose -5*l = -14 + 4. Suppose 6*r = -5*o + l*r + 40, o - 5*r = -21. Let z(v) = o*v**2 + 52*v + 4*v**2 - 52*v. What is z(s(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -15. Let m = 9 - b. Does 8 divide (-21)\/(-2) + (-1)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q + 453*q + 50567 - 12283 = -58*q for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12670176 and -133\/4584?\nAnswer: 12670176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571 + 1979 - 638 = 182*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*r - 42, -r + 59163357*a = 59163358*a - 14 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = -4*r - 167. Let x = 7 - r. Suppose 330 = 4*m - x. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -77. Let n(p) = 3*p**r - 50 - 2*p**2 + 44 - 6*p. What is n(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 9*t - 13*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 8*t**2 + 19*t**2 - 2*t - 15*t**2 to b + s*t + f*t**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 25*s**2 - 1\/12*s**4 + 0*s + 0*s**3 + 0. Let z(r) be the second derivative of 7*r**4\/6 - r. Determine v(z(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**3 - z**2 - z + 1. Let r be o(1). Solve r*c - 8*c - 13*c + 3*c**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113140127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + 4.89. Let f = n - 4.86. Let m = 0.14 + f. Round m to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 1\/120*y**5 - 3*y**2 + 0 + 0*y + 0*y**3 - 1\/2*y**4. Determine c, given that i(c) = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450, 5787, 13004, 23101, 36078?\nAnswer: 51935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 21. Let o be j(-9). Suppose w + 2*w = o. Let g(v) = -v**3 + 4*v**2 - 4*v + 3. Give g(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n - 1. Suppose 233908*s - 233955*s + 4324 = 0. What is the remainder when s is divided by j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161655 and 2914764.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -174\/89 smaller than -7.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - -6*-2*sqrt(130) - sqrt(130)))\/(-2*sqrt(250)) - (-5*sqrt(78)\/sqrt(6) + sqrt(208) + 1)**2.\nAnswer: -14 + 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.062607313838 and 299.\nAnswer: 299.062607313838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2911*t - 2906*t = 17155. What are the prime factors of t?\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*x - 3*x - 3*k, 2*x - 12 = -k. Determine l, given that 4*l**3 - 3*l**2 - 4*l**3 - 3*l**3 + x*l = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuu when four letters picked without replacement from {l: 4, u: 3, p: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**3 + 42 + 2*w**3 - 44 + 2*w**2)*(0 + 4 - 6) to i*w**2 + u + z*w**3 + l*w and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 0.511 (c) 3.024 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426313?\nAnswer: 7, 37, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -6 - -4)*-1 - -19?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5981?\nAnswer: 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 83780000 to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224638?\nAnswer: 2, 17, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 4)*(m - 3*m + 3*m) + (-9 + 3 - 10)*(-3*m - 3 + 3) + 2 - m - 2 to n + d*m and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00128394431 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1221984 divided by -4243.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (11\/(-1))\/((-22)\/330) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d - 2. Let p(i) = i**2 - i - 1. Let u be p(d). Factor 3*b**3 + 4*b**5 + 3*b**4 + 0*b**2 + b**2 - 3*b**u.\nAnswer: b**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205904, -411806, -617708, -823610, -1029512?\n\"Answer: -205902*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*l**2 - l**2 + 2 + (-4*l - l + 3*l)*(-3*l - 4*l + 4*l) + 3*l - 3*l - l**2.\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, r: 1, g: 1, z: 2}. What is prob of picking 1 x, 1 z, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 2*u**2 - 2*u**2 - 3*u**2. Let b(d) = -2*d. Give b(k(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2157.99998074 + 2158. What is d rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i + 9. Let b be z(7). Let v = b - 26. Let y = v + 16. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00473 * -0.1.\nAnswer: -0.000473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 225989435 to the power of 1\/2, to the nearest integer?\nAnswer: 15033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1811 * 0.4.\nAnswer: -0.87244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 55, 340 in decreasing order.\nAnswer: 340, 55, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*(p*p**3\/p*p)\/p)\/(p**8\/(p*p*p\/(((p*p**(-1)*p)\/p)\/p))))**27 assuming p is positive.\nAnswer: p**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3a2697 (base 14) to base 9\nAnswer: 3684503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 4*x. Let m be c(4). Let w = 344 - 343. Put m, -1, w in ascending order.\nAnswer: -1, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.294 + 0.006. Let f = 1.441 + 0.559. Suppose 5*q = 2*q - 6. Which is the closest to -4? (a) q (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 33?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12339 times 0.01\nAnswer: -123.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 18548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 129?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4984 + 0.4984. What is the biggest value in -111, y, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 849 - 165 = 59*l - 909 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y + 88*y + 82*y + 78*y - 333*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 11 - (18 - (28 - -2) - -19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:40 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -523041000 to the nearest one million.\nAnswer: -523000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 times 1?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, -0.4, -1, 0.7 in decreasing order.\nAnswer: 283, 0.7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803 is divided by 509.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/9 (b) -124 (c) 3\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -335, -536, -933, -1592, -2579, -3960, -5801?\nAnswer: -8168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 - -249. List the prime factors of ((-36)\/3)\/j - (-236 - 0).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*w - 3*m + 109, w - 25 = -5*m. Let x be (w - -2) + (-5 - -1). Let q = 95 - x. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 96.9. Put 0.2, 2, -2, s in decreasing order.\nAnswer: 2, 0.2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679*d**3 - 679*d**3 - 676*d**3 + 2028*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 9. Let w = 25 - 19. Let k be y(w). Solve 0 = -2*d + d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3191414*t**3 + 22992*t - 6 wrt t.\nAnswer: 19148484*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = p. Suppose -p*l + 6 = l. Suppose 0 = 2*m + l*m + 4*g - 52, -3*g = 4*m - 56. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9903 and 49518\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16575 by 1240.\nAnswer: 3315\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*j - 31. Let s(v) = -9*v**2. Let r(n) = 13*n**2. Let o(b) = j*r(b) - 7*s(b). Let t(f) = f**2. What is t(o(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -293*i**5\/20 - i**4\/12 + i**3\/2 + 3*i**2\/2 + i - 16. What are the prime factors of l(-1)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/(-39))\/(1*-1))\/((-19)\/6).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15\/352 + 11687\/2464. What is the common denominator of j and 25\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgvrgvgvvvvgbgvrqvb. Give prob of sequence bqrv.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let p be s(0). Suppose p = -t + 8 + 22. Let z(n) = 75*n - 1397. Let c be z(19). Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/132)\/(72\/(-7788)) and 137\/192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -12. Suppose 0 = -3*o + 5*d + 12, 2*o + 3*d = 1 + f. Which is the nearest to 0.1? (a) 2 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -7\/3*k + 2\/3 - 3*k**2 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Solve -n*p = -6 - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-340578)\/(-26) - 14\/91. Suppose -2*m + 4755 = -o. Suppose 5*g + 2352 - m = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/129 bigger than -193\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((6\/12)\/(-1))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 20*o - 684. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b + 2dda04?\nAnswer: 2dda31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 105*l**4 - 5080*l**3 - 3175*l**2 - 490*l = 0.\nAnswer: -1\/3, -2\/7, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12739 and 108.\nAnswer: 108.12739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -21*z**2 - 9769005*z + 2791146 = 0.\nAnswer: -465191, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 8*s**2 - 7*s - 12. Suppose -37 = -4*b - 1. Let c be z(b). Let n be (2\/(-20))\/(c\/(-15)). Put -0.4, -3\/2, n in decreasing order.\nAnswer: n, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -0.153?\nAnswer: -0.00459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0418 + 0.0909. Let j = o + -23.0491. Let p be (-15)\/(-6)*2\/3. Which is the third smallest value? (a) p (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 - 1. Let j(s) = s - 8. Let n(b) = 1. Let d(h) = -2*h**2 + 19*h + 4. Let p be d(10). Let f(l) = p*n(l) - j(l). Let w be f(1). What is x(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 139, 244, 351, 454, 547, 624, 679, 706?\n\"Answer: -v**3 + 7*v**2 + 91*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 97*v. List the prime factors of b(3).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 29 + 91 = 0. Let j be 5\/d + 3\/9. Let h = -2 - 2. What is the biggest value in j, 0.2, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.5013 - 30.6839103. Let t = 92.8132897 - b. Let l = -93 + t. What is l rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.43 - 0.15. Round y to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23987 * 0.04.\nAnswer: -959.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26202266 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 34*a + 106. Calculate p(31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11931 - -11946.679. Let s = -0.021 - k. What is s rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7502929854 to the nearest integer?\nAnswer: 86619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = 0. Suppose p = 17*r - 15*r - 8. Suppose 4*c - 264 = -4*l, -185 = -2*l - r*c - 53. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 22*p**2 - p - 749. What is the thousands digit of r(-37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.23, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23291843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9632 and 39\/133?\nAnswer: 183008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-746)\/780 - (5 - (-160)\/(-30)) and -55\/13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chihnhhhhhchh. Give prob of picking 1 h, 1 i, 1 n, and 1 c.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, -3\/2, 1\/34, 2, 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 67*s**2 + 0 - 5\/12*s**4 + 0*s + 1\/3*s**3. Determine y(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 5, 791 in ascending order.\nAnswer: 3, 5, 19, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-47)\/(-94))\/((-1)\/6). Let y(k) = -k. Let a(j) = -5*j + 7. Let i(z) = a(z) - 4*y(z). Let u be i(t). What is the greatest common divisor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -1\/4, -5, -2, 0.1 in ascending order.\nAnswer: -5, -2, -1\/4, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*u + 16, 778 - 766 = -u - 2*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 216 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 41, 71, 117, 185, 281, 411, 581?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1572\/53 (b) 3 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6791*f**2 - 11*f - 17. Let q be p(-2). Let g = -814961\/30 + q. Calculate the common denominator of g and 2\/(-2) + 152\/132.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327582*d**2 + 52*d - 22*d - 30*d.\nAnswer: -327582*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(168)\/(sqrt(16)\/sqrt(2)))\/(sqrt(27)\/(sqrt(9)*-1 - sqrt(9))))**2*-2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173518696 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 2*c)*(-c - 2*c + c)*(-23*c - 719 + 719) - 2*c**3 + 2*c**2 - 2*c**2 to the form z*c**3 + i*c**2 + n + v*c and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 2 - (-210868)\/12376) + 14?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 7 = 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1364*i**3 - 3*i**2 - 54*i - 105. Is p(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2. Let c(b) be the third derivative of b**5\/15 + 25*b**2. Give c(o(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 + 58*i**2 + 24*i**2 - 138*i**2 + 26*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-18 - -31))*(0 - 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) + -2 + sqrt(208)))**2 + (-1 + sqrt(208) - sqrt(208))*-1 + sqrt(208) + ((sqrt(468)*3)\/sqrt(12))\/(sqrt(12)*-1).\nAnswer: -1595*sqrt(13)\/2 + 20901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 588506.8 decades?\nAnswer: 58850.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 57 = -5*q, -4*q - 28*j + 78 = -21*j. Calculate the remainder when 2309 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, 2\/5, -0.0717?\nAnswer: -0.0717","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12337.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:07 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 805453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334839, 334631, 334405, 334155, 333875, 333559, 333201?\nAnswer: 332795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:22 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -49888428 and -49888410 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgnggnkng. What is prob of picking 1 k and 3 n?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9323745700 to the nearest one million.\nAnswer: -9324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000053365696 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -228*(-13)\/390*(-1640)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:26 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-1 - -1) - ((-80 - -49) + 37)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119031025 to the nearest integer?\nAnswer: 10910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.816 - 0.516. Suppose 2*k + 2*t - 4 = 0, -k = -0*k + 3*t + 4. What is the smallest value in k, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/25362 and -50\/9863?\nAnswer: 177534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 17. Let q be 10 + d - (1 - 1). Solve -q*v + 6*v = 0, -5*v = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/2 - 574418*r - 164978019362 = 0. Calculate r.\nAnswer: -574418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (95\/(-38) - -2)\/((-3)\/(-2)). Sort 6, -1, -0.04, v in increasing order.\nAnswer: -1, v, -0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 14. Let l be z(-7). Let t(x) = 11*x**4 - 2. Let f(j) = 12*j**4 - 3. Let c(q) = l*t(q) + 6*f(q). What is the first derivative of c(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*k = 15, 9*g = 4*g + 3*k - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1467361 and 5698.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 5. Let z = s + -20. What is the second biggest value in -0.2, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*n - 136, 3*n + 26 + 38 = 2*r. Let m be ((-2)\/(-4) - 1)\/(r\/280). Let o = -22\/3 + 7. What is the nearest to -2 in o, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 275*p**2 + 338*p + 2368. What is the units digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 32. What is the second biggest value in -1\/3, t, 2, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -2*n**2 + 0 + 1\/60*n**5 + 0*n - n**3 - 1\/24*n**4. What is the units digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 15 + 19*a to l + i*a and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + -5 - (-8 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 2\/5, -28, -3000, 0.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from xxxxxxxhhhxxxxx?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 193709468*t + 14071259247316134.\nAnswer: 2*(t - 145282101)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 47.3. Let i = -44 + q. Let u = -31.9 + 32. What is the second smallest value in 1\/3, i, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1704712 to three dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10179373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**3 - 4*k**2 - 6*k + 12. Let v be x(4). Let r = -5434\/7 - v. What is the common denominator of -7\/6 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -17610 in ascending order.\nAnswer: -17610, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.0752785 seconds?\nAnswer: 0.00057646625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1109 + 1165.7. Let w = r + -54. Let d = -3 + w. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/20)\/(1\/(-5)). Is ((-171)\/27)\/(k\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, p: 9, k: 1, u: 5}. Give prob of picking 1 j, 1 z, and 1 k.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.1. Let i = -0.28 + -1.82. Let z = 6.1 + i. Which is the third smallest value? (a) -1 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = x - 76, -3*x + 5*a + 244 = -0*a. Let l = x + -63. Suppose 4*r - 15 = l. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)\/(g\/(((g\/(g*(g*g\/g**(-5\/7))\/g))\/g)\/g)))**(-14\/3) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 28*n - 117. Determine h(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -361 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6296 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5\/12 + 35*g**4\/24 - 5*g**3 - 6*g**2 + 24. Let v(d) be the second derivative of x(d). Factor v(j).\nAnswer: -5*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2534 (base 11) to base 12\nAnswer: -1ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 + -117 + -2 - (-1 + 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/7 + 2170554*b**3\/7 - 392604381111*b**2\/7 - 1570443571188*b\/7 - 1570452253452\/7 = 0.\nAnswer: -2, 361761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:14 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -811*p**6\/30 - 55*p**2\/2 - 22*p - 6. What is the derivative of m(x) wrt x?\nAnswer: -3244*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let g(w) be the first derivative of 11*w**3\/3 - 12. Give d(g(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1\/4, -0.4594, 2, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmykmmyym. What is prob of picking 1 k and 3 m?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 <= 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4.0000041. What is t rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147494421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 3*i - 4*n + 734, -2*i = -5*n + 451. Let t = i + 500. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -q + 167, 3*t + 0*q = 3*q + 246. Suppose -i = -6*i - 4*h - 460, t = -i + h. What is i rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/20 - 0)*12. Let s be ((-1)\/(-2))\/((-2)\/(-6)). What is the third biggest value in s, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1455 + 4312\/3. Let k = -8154 + 65149\/8. What is the common denominator of k and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1459 - 1464. Let s = 43 - 42.8. Sort s, 2\/3, 4\/5, h in decreasing order.\nAnswer: 4\/5, 2\/3, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 4\/(-18) + (-52016)\/(-144) + 13.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 395*i + 16. Let z(w) = w**2 - 130*w + 5. Determine -3*g(x) + 10*z(x).\nAnswer: x**2 - 115*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 13*o + 27*o - 4*o + 26. Determine s(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10135759.\nAnswer: 19, 701, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, -12 in descending order.\nAnswer: -5, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 21 = 3*c. Suppose -63*p - 5*o = -62*p - 3, 5*o + 13 = p. Suppose 0 = c*i - p*i + 3. Solve 0 = -i*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290296 is divided by 99?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -704 - -573. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184.733 years in decades?\nAnswer: 518.4733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*m - 21770 = 139*m + 203*m - 243*m for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = n - 1, -2*x = -4*n + 30. Find the second derivative of 1164 - 60*o**2 - 1166 + 0*o**2 - n*o - 15*o wrt o.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 2 (c) 0.26 (d) 7280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, -4, 3, 33, -1, -32 in descending order.\nAnswer: 33, 19, 3, -1, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 955461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 21 - (-1467800)\/91740. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11307, 22096, 32885?\nAnswer: 43674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*f - 9, f + 3*x = 6*f - 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 12 - 12)*(0 + 4 - 2)*(4 - 2 - 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50*126\/360*((-2)\/(-5))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78, -73, -48, 3, 86, 207?\n\"Answer: c**3 + 4*c**2 - 14*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3172 = -129*q - 3559 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**5\/5 + 3*r**4\/2 - 596*r + 763. What is the derivative of m(o) wrt o?\nAnswer: 4*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 49*m - 47*m, 4*h + 7 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -59.8. What is the third biggest value in -0.5, -0.1, j, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-36))\/((-66)\/(-2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 68. Suppose 4*p - i - 2 = 15, 0 = -5*p + 5*i + 10. Suppose -p*a = 3*c + 51, a + 3 + 0 = 0. Is z at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2057945.076 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-30351)\/27)\/(149\/(-1341))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -815 - -804. Which is greater: -19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y + 22. Suppose 5*o = -2*j + y, -4*o + 2*j - 2 = -0*j. Put -1, o, -8 in increasing order.\nAnswer: -8, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/9 + 1096*x**2\/9 - 16904*x + 97088 = 0.\nAnswer: 6, 246, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*w + 1, -r + w + 16 = 0. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*w = -21 + 37, -5*c - 5*w = -40 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k + 657. Let z be b(-30). Suppose -90 = -8*w + 3*w. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 11*z**2 + 3*z - 1. Calculate the remainder when k(-7) is divided by 41 - ((-780)\/(-135) + 1\/9*2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 11*s**2 + 6*s + 46. Suppose -10*x + 7*x - 4*n = -34, -n + 31 = 3*x. Let d be b(x). Solve 5*q = -d - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -2 - -2) + 2 + 100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 19*d + 14*d + 30.\nAnswer: -5*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26 - (-2 - (-5 + 12)). What is the greatest common factor of l and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68375.87l in millilitres?\nAnswer: 68375870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89378242 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 15 = 0, 5*y + 259 = -4*v + 2*y. Let k be 3 - v\/(0 - -1). Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146\/235 - 1\/47. Suppose 2*m + 0*m = 0. Let z = -22 - -27. Which is the nearest to m? (a) 2\/9 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001010010 (base 2) to base 15\nAnswer: -e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -8 - -4*6\/2. Let t(h) = -4*h**3 - 8*h + 2*h**2 - 16*h**3 - 3*h + x*h**2. Let g(w) = 4*w**3 - 2*w**2 + 2*w. What is 11*g(f) + 2*t(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 1 + 7. Suppose -2*j - h = -67, h + z*h = -j + 29. Suppose -2*w + 0 = -j. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 4*u - 12. Let j be h(-9). Suppose j*p - 178*p = 80. Solve -29*r - p = -27*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013014206 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1900) + (sqrt(1900) - (-1 + sqrt(1900) + -1 + sqrt(1900)))**2 + sqrt(1900)*1 + -3.\nAnswer: -20*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u**2 + 1432*u + 2951. Calculate y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 191, -1, -3, 0, 34.\nAnswer: -3, -1, 0, 3, 34, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**29*((l**16\/l)\/l)\/((l*l\/(l\/(l**(3\/2)*l*l)))\/l) assuming l is positive.\nAnswer: l**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a05a3 - -4?\nAnswer: -1a059b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17534.9? (a) -2\/5 (b) 79 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = -114 + 148. Put -3, -1, -2, v, 86 in increasing order.\nAnswer: -3, -2, -1, v, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 - -112. Let m(v) = -9*v**3 - 7*v**2. Let w(u) = -5*u**3 - 4*u**2. What is h*w(y) + 4*m(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2232 or 2224?\nAnswer: 2232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 21. What is the derivative of -6*b + 6*b + 8 - q - 5*b**3 wrt b?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/108)\/((-42)\/36)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -5, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m - 13. Suppose -3*k - 3*d = -4*k + 3, -11 = 5*k - 2*d. Let i be j(k). Solve i*v + v - 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 160*o**2 - 17484*o - 17475. Determine k(-1).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (166 - 126) + (-122)\/6.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b69659 - -8?\nAnswer: -15b69651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-8)*4\/5. Let q(b) = b**2 - b + 13. Let a be q(d). Let z = a - 35. Is z less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 - 9*u - 10. Let x be 10 - 9 - (-18)\/(-2). What is p(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -505*l**2 + 177*l**2 + 203*l**2 + (-3*l - l + 5*l)*(5*l + 0*l - 3*l).\nAnswer: -123*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010251 (base 6) to base 13.\nAnswer: -18b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 229034.6 millennia?\nAnswer: 2290346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 690*m - 7597. Calculate a(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 - 701647*u**2 + 123128683000*u - 18084757687500 = 0.\nAnswer: 147, 350750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -13. What is the remainder when z is divided by -2*3*-2 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/9*(-11)\/2. Let d = p - -37. Let i be (-6)\/10 - (-14)\/(-35). Which is the nearest to 0? (a) d (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4939042 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11540, 23468, 35392, 47312, 59228, 71140?\nAnswer: 83048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -14. Let m(b) be the first derivative of 0*b**2 + 1\/2*b**a + 2*b + 0*b**3 + 1. Differentiate m(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = c + 18. Suppose 5*z + 110 = 2*r, -z + 19 = r - c. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239154 is divided by 5435?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7048 and 3352.\nAnswer: 2953112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -40*r. Let c(v) = -v**3 + 17*v**2 + 2*v + 34. Let a be c(14). Let m(h) = 319*h - a*h + 326*h. Calculate f(m(i)).\nAnswer: 200*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 111954158123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*y + 45, 0 = v - 2*v - 4*y - 9. Let f(u) = u**3 + 8*u**2 - 8*u + 12. Let n be f(v). Solve 0 = -n*z + 12 - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256376?\nAnswer: 2, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let t = 15.1835 + -15.2835. What is the closest to t in 0.6, k, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4cd1b7 (base 14) in base 16?\nAnswer: -2868fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -500 (b) 3\/8 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42281?\nAnswer: 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1 + 3. Solve 12*d**2 - 8*d - 12 + 0*d + 4*d**3 + b*d = 0 for d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7*l + 1. Let z(c) = 4*c - 41. Let s be z(9). What is a(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/28)\/((-2)\/4). Let p = -12 + 5. Let x = 5 + p. Which is the nearest to 0.2? (a) n (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000406 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 145.4908ug?\nAnswer: 0.0000001454908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589 divided by 137.\nAnswer: -589\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/11 + 71018292*a**3\/11 + 57313598435278*a**2 - 2521799183371800*a\/11 + 2521799467445000\/11 = 0?\nAnswer: -17754575, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/4 - 2*a**3\/3 + 13*a**2. Let x be o(-1). Let z(c) = -50 + x*c**2 + 50. Let k(r) = -6*r**2. Calculate k(z(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7508809 and 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 572866*z - 1718616 = 0.\nAnswer: -286436, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbyyvvybbbvbb. Give prob of picking 1 y, 1 b, and 1 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33487557 times -15?\nAnswer: 5.02313355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 0.1, -38104, 6.6 in increasing order.\nAnswer: -38104, -0.4, 0.1, 5, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 - -15 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7954 and -0.055?\nAnswer: -437.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9274 and -9?\nAnswer: 83466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - 3*sqrt(88)*3))\/sqrt(8))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.051 and 0.117?\nAnswer: -0.005967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*f + 8. Suppose f*r - 9 = 5*c, 2*c = 7*c. Factor 15\/4*q**2 + 9\/4*q + 11\/4*q**r + 3\/4*q**4 + 1\/2.\nAnswer: (q + 1)**3*(3*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41981094 divided by -13993698.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:54 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 - 2*k - 2. Let m be n(2). Let z = m - 12. Suppose -z = 5*t - 8*t. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 - 15*u. Let h be l(3). Suppose h = 8*z - 2613 - 3787. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -w + 3239, -10*j - 663 = -11*j - 4*w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/11*(-3575)\/(-1950)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3148, 6368, 9614, 12898, 16232, 19628, 23098, 26654?\nAnswer: 30308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let o(u) = -8*u - 77. Let a be o(-10). Put w, a, 2 in increasing order.\nAnswer: w, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -1034226?\nAnswer: -1034247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994551525 to the power of 1\/2, to the nearest integer?\nAnswer: 44660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 33*t + 35. Let x be i(-32). What is the third smallest value in -1\/32, x, -3, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*i + 403 + 55 + 172 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.342 - 0.242. Let b be 136\/(-6)*(-117)\/104. Let w = b + -24. What is the nearest to 0.2 in o, -0.1, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 2*y = -21*v, v + 4*y = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.49716*-0.07\nAnswer: -0.0348012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.2, 0.011, -365, 4\/7, 0.5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9126 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42230582 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + (-5)\/10. Suppose q = -5*m + 4*v + 85, -4*v + 7*v + 15 = 0. Suppose m*i - 8*i = 385. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-224)*28\/18*(-49)\/(-196)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1864400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - -2. Let k = 1179 - 1183. Which is the closest to 0.1? (a) k (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -2*z - q, -4*z + 156 = -3*q - 286. Suppose -x + 38 = -140*h + 135*h, 190 = 5*x - 2*h. What is the remainder when z is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 74?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4622255 + -40597\nAnswer: 4581658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 75*g\/4 + 39\/2.\nAnswer: -3*(g - 1)*(g + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-0.5\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = 5*p - 174. What is the remainder when 39 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*l**3 + 69*l**3 - 2 - 2.\nAnswer: -293*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(343) - -3*sqrt(343)) - -3*sqrt(343)*3 - ((-2*sqrt(343)*-1 - sqrt(343)) + sqrt(343) + (sqrt(343) + -2*sqrt(343))*-1))**2.\nAnswer: 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-12)\/(-54))\/(10\/2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660661427 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -246214.\nAnswer: -5\/246214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 744.9 - 744.5. Let h = 3 + 1. Sort -2\/3, h, d in decreasing order.\nAnswer: h, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 5*p + 255. Suppose -4*i + 16 = -2*q, -2*q = 4*i - i - 26. Calculate the remainder when p is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3584))\/sqrt(8)*6 + -3 + (sqrt(567) + 0)*-1)**2.\nAnswer: -234*sqrt(7) + 10656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 11) to base 5.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-2)*(6 + -9). Let w(m) = -2*m**2 - 50*m - 34. Calculate w(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from afmmfvgpvvgfmgfa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 443604 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1394046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 14332*c\/3 - 2658064\/9.\nAnswer: -2*(c - 21436)*(c - 62)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + -58) - (96 - 95)) + (-35 - -31)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16 = 2*z. Calculate the remainder when z is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1230057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-13))**(2\/17)*(z**4\/z)**(-1\/39) assuming z is positive.\nAnswer: z**(-329\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let j be (-2)\/(-2) + 3\/(-4). Which is the second smallest value? (a) d (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 432\/20)*(2 + 3). Let g = k - 120. Solve 0 = -4*n + g - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4149, -4140, -4133, -4128, -4125, -4124?\n\"Answer: -s**2 + 12*s - 4160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 34*d**2 + 44*d + 693. Let j be w(-33). What is the greatest common factor of j and 432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 4, y: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/12355?\nAnswer: -8\/12355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77067.42um to millimeters.\nAnswer: 77.06742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 36*b - 41. Let c(i) = -24*i + 26. Calculate -8*c(n) - 5*y(n).\nAnswer: 12*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-27))\/(2\/9). Suppose 0 = 5*t + 3*r + 3, r = -2*t + h*t + 7. Sort -3\/7, -17, t.\nAnswer: -17, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118215090*f - 187*f**3 - 118215090*f.\nAnswer: -187*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 21*i**2 - 2*i + 24. Let z = 171 + -80. Suppose -10*w - z - 119 = 0. Is 15 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u + 2. Let f = -169 - -176. Let x(z) = -5*z + 1. What is f*x(a) - 3*o(a)?\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (37 - (-11 - (-11 + -16)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.35653 + 5.25653. Let f be -1 - 2\/(-8 - -2). Which is the nearest to u? (a) 0.1 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/(-6)*(-2 + 12\/(-18)). What are the prime factors of (-112)\/s*-228 - 40\/30?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(176\/(-110)))\/(49\/(-28)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + -4*(-5 + (sqrt(180) - ((1 + sqrt(180) - sqrt(180) - sqrt(180)) + -4)) + -4) + 2)**2.\nAnswer: -2016*sqrt(5) + 11960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.824 + 0.176. Let k = w + -221. Let q = k + 140. Which is the second biggest value? (a) q (b) 10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.03 - 0.03. Let s = r + -3. Let i = -5.72 + s. Round i to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/18 - (1\/(-3) - -1). What is the third biggest value in -1, m, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(2448)*-2 - sqrt(2448)) + 4 - (sqrt(2448) + sqrt(2448)*1*4)))**2.\nAnswer: -6912*sqrt(17) + 1410192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18106640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -884, -348, 534, 1768, 3360, 5316, 7642, 10344?\n\"Answer: w**3 + 167*w**2 + 28*w - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3379 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 18336*g + 43 + 2)*(g - 3*g + 0*g).\nAnswer: -36672*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 5. Let u(w) = w - 2. Let j(f) = -3*l(f) + 7*u(f). Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, -2, 42.59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.5 rounded to the nearest 10?\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 4, p: 3, f: 2}. What is prob of sequence ap?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 less than 0.258?\nAnswer: -2279.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-522)\/2088 + (-506)\/(-2152). What is the biggest value in m, -1\/6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 + 6 + (-3 - 17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2769 - 27689\/10. Let w = -0.4 + -0.1. Sort m, w, 1\/6, 7.\nAnswer: w, m, 1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307494.\nAnswer: 2, 3, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 2:36 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:18 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10587366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.4, -5\/4, -0.6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2 (c) 15334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.5. Which is the nearest to -1? (a) o (b) 3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 17. Let g be y(-14). Let r(v) = v**3 - v**2 - v + 2. Let z be r(0). Suppose d = z*u - g*u + 15, -d + 4*u - 10 = 0. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 9*d**2 + 5*d - 28. Determine g(10).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-1 + 2 + 0) - 1 - 1 + 4*y + 4 - 2*y + 0*y - 5*y.\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwszszazuazuzwz. Give prob of sequence suwu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 11 in increasing order.\nAnswer: -4, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58227379 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -3693, -8465, -15147, -23739, -34241?\nAnswer: -46653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -2\/15, 0.6, 0.2 in decreasing order.\nAnswer: 5, 0.6, 0.2, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c\/(c**2*c))\/((c**(-1\/3)*c)\/(c\/c**(-8))) assuming c is positive.\nAnswer: c**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10)\/(b\/b**(2\/45)*b)*(b*b*b**(5\/4))\/b*b*b**(-4\/13)\/b assuming b is positive.\nAnswer: b**(-23431\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 18\/4435 (b) 2\/5 (c) 2 (d) -0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/60 - 1\/15. Let j be (-2)\/(-5) - 1\/(-35). Which is the biggest value? (a) k (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0, 5\/6, 15\/7, 0.3, 23, 1459?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 2*j + 5 = 8*x, 0 = -2*x + 2*j - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 5*t**4 + 0*t**4 + (-2*t**3 + 2*t**2 - 2*t**2)*(4*t - 5*t + 2*t) + (0 + 0 + 2*t)*(-4*t**2 + t**3 + 4*t**2) + t**4 + 4*t**4 + 17*t**4.\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -157.6 (b) 1.4 (c) 0 (d) 0.4 (e) -3 (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*b - 80. Let y = 12 + b. Let d be 6\/y - 75\/(-20). Solve 2*l - 45 = -d*l + 4*x, 0 = 3*x + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = c. Which is smaller: c or 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**3 - 8*t**3 + 16*t**3)*(32 + 37 + 49*t**2 - 68).\nAnswer: -98*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -1062.22?\nAnswer: 1064.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -844*p**2 + 28*p - 7 + 848*p**2 + 9*p. What are the prime factors of r(-11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32257*h**2 + 751*h + 32254*h**2 - 2*h to the form a*h**2 + o + x*h and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by -2\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 116 - 20. Let u be ((-3)\/(-9))\/((-1)\/y). What is the units digit of ((-6)\/(-4))\/(u\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 86301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 38, 0, -1, -8 in descending order.\nAnswer: 38, 2, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15738224 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:48 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 3 - 2) + (1 - -21) + -8 + 10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - -62. What is the remainder when b is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7)\/(-2)*((-10)\/9 + 15023\/747)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/60 + 5*u**4\/24 + u**2. Suppose 2*i - 3*i + 22 = 4*j, -5*j - i + 27 = 0. What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 156119*w - 154928*w + 311047*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-40)\/(-7) - (-46)\/(-14). Sort 5, m, -2 in increasing order.\nAnswer: m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 + 6547617*i.\nAnswer: 6547617*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 62*p - 4368. Give w(-104).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-27)\/(-81)*((-162)\/204)\/(-9))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 3*i. Let u(q) = -13*q**2 - 12*q + 8. Determine -4*t(m) - u(m).\nAnswer: 9*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2828\nAnswer: 1\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 182713 and 0.173.\nAnswer: 182713.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 - 5*u**2 + u + 1. Suppose 2*n = -5*t + 15, 5*t = 4*n - 11 + 26. Let b be z(t). Calculate the greatest common factor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 98*y - 181. Determine j(-51).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 13. What is the derivative of -55*x**2 - 10*x**3 + 11 + w*x**2 wrt x?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -62*w**3 - 11*w**2 - 12*w. Calculate z(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 5568 = 25*k - 16*k. Solve -2 = k*s - 172*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30414589 to the power of 1\/2, to the nearest integer?\nAnswer: 5515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -62 - (3 - (-10 - (-13 + 11 - 13)))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4\/3 - 29596*h**3\/3 - 55168436*h**2\/3 - 1550250020*h\/3 + 15317365800 = 0.\nAnswer: -3685, -47, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9813, 0.05, 477?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17*30)\/(1\/1). Let w be (3 - 0)*20\/x. Let n be (-2 - 104\/(-39))*-1. What is the second biggest value in n, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017604683417 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 111*y**2 - 8631*y - 104517.\nAnswer: 3*(y - 79)*(y + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10013 (base 6) in base 2?\nAnswer: 10100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1233 - -68. What are the prime factors of k?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(45\/3)*(-61 - -51). What is the closest to g in -0.5, -105\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1550 = -16*t. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403253 (base 6) to base 13\nAnswer: -11667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -378.35 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by -8\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2)*q)\/q*q*q)\/(q\/q**(-2\/11))*q*q**3*q*(q*q\/q**6)\/q)\/(((q**(-2)*q)\/q**(3\/7))\/(q\/(q\/(q**(-5)*q)*q*q)*(q*q**(-5))\/q)) assuming q is positive.\nAnswer: q**(-1271\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 651*b + 1306*b - 9*b**2 - 657*b to a + t*b**2 + z*b and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/9 + 364*q**2 - 432640*q\/3 - 35995648\/9 = 0. Calculate q.\nAnswer: -26, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 9. Let u(x) = 24*x - 180. Let v(h) = 20*k(h) + u(h). Let j(q) = -2*q + 140. Give v(j(m)).\nAnswer: -8*m + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*(18 + -18). Let k(g) = g**2 + 2*g + 4. Let s be k(h). Solve 10*o + s = 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 38*d**2. Let b(i) be the third derivative of i**4\/24 - 22*i**2. Calculate b(z(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3))\/(n**(-2)*n)*n**(2\/25)*n**(9\/5) assuming n is positive.\nAnswer: n**(341\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1024558?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -7)*(-1 + -1). Let r(k) = -k**3 + 8*k**2 - 4. What is r(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9973656 divided by -19789\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 470911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 50. Calculate the smallest common multiple of q and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -774 - -774. Let t(d) be the third derivative of 1\/60*d**5 + 0*d - 1\/3*d**4 + 0 + o*d**3 - 6*d**2. Find the second derivative of t(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1049016 and 66888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4628 and 67\/43966.\nAnswer: 87932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004 minus -267?\nAnswer: 267.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 5*r - 5. Suppose 48*n + 432 = 240. Let k(l) = 6*l**2 - 6*l + 6. Determine n*k(f) - 5*x(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*i - 6 = 3*o, -5*o = 5*i + 15. Is 0 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 3, e: 7, h: 2, z: 4}. What is prob of sequence xzhz?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 430940?\nAnswer: -4309.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -56*s + 213. What are the prime factors of i(-14)?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (172 + -1)\/((-3)\/(-3)). Suppose -6*b + 339 = -u. What are the prime factors of b?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/354*(2\/(-15))\/(((-2597)\/(-530))\/49).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let y be m(2). Let h = 0.1 + -0.6. Let l be (-1)\/8 + 16\/64. Sort y, h, l.\nAnswer: y, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/24)\/9*(-36)\/2430*9.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-44)\/(-10)))\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396867637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120180132?\nAnswer: 2, 3, 1112779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1348 in -1.8, 4\/9, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = 12. Suppose -5*q + 4*r = -135, -3*r = -z*q - 7*r + 113. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28677 to three decimal places.\nAnswer: -0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.8 + 50. What is the nearest to -0.2 in 2, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:51 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-27)*(-10802)\/1473*-3*2\/55.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026069 to 6 decimal places.\nAnswer: -0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - d**4)*(-500 - 1315 - 31) to the form w*d**3 + c + m*d**4 + b*d**2 + y*d and give m.\nAnswer: 1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*q = -3020 - 11973 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4983719, 19934878, 44853477, 79739516, 124592995, 179413914, 244202273?\nAnswer: 318958072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:03 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 20, 3*w - 505 - 2498 = -3*g. Suppose 0*d = d - g. Suppose 4*y = d + 2223. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 764*u - 817*u + 371 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 5580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97770 + -31367. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21598121 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49, 85, 137, 199, 265, 329, 385, 427?\n\"Answer: -p**3 + 14*p**2 + p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-388)\/(-20) - 8\/20. Suppose -47 = 7*s - p. Put s, -5, -9 in decreasing order.\nAnswer: s, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 + 455?\nAnswer: 4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3 - -2) + -3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9aacd (base 16) in base 14?\nAnswer: -126c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 7. Determine f(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 76 = -4*n + n, -3*x + 133 = 5*n. Let m = 24 - n. What is the lowest common multiple of 10 and 12\/(m\/(2\/(-1)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 - 0.5. Let u = 31 + -32. Which is the nearest to -3? (a) -4 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - 157?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232031 (base 4) to base 8.\nAnswer: 15615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 x when three letters picked without replacement from {t: 5, w: 1, x: 12, d: 1}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/643806 and 29\/12.\nAnswer: 1287612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-88))\/(5\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 47*z + 9896. What is d(-211)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26072102877352 - 26072102877352 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**41\/((d**6*d)\/d)**(-6\/5) assuming d is positive.\nAnswer: d**(1676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a microgram in nanograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-151760)\/16260*18\/7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5524423 is divided by 736.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 - -127. Let j(w) be the second derivative of 0 + 0*w**c - 1\/36*w**4 - 3*w + 1\/6*w**2. Factor j(v).\nAnswer: -(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21*-7 + -2 - -2. Find i, given that d + 4*i**2 + 40*i + 16*i + 50*i**2 - 2 - 2*i**3 = 0.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 2. Let r be b(4). Let n(h) = -h**2 + h + 26. Let j be n(-6). Does 4 divide (r\/8)\/(12\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*m + 114. Solve 0 = x - 5*f + m, -4*x = -2*f + 5*f - 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -7 + -15 + 23 + 2 + -2 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/88 and 51\/632.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q + 258 - 908 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -21. Suppose -n + 36 = w*n. Let r = -59 + 83. What is the highest common divisor of r and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from rriixriiirrxiiirxr.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 156 + 9*t**3 - 5*t**3 - 5*t**3 + 0*t**3.\nAnswer: -t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 2, i: 1, w: 3}. What is prob of picking 1 d and 2 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*i**3 + 4*i**2 + 4*i - 1 wrt i?\nAnswer: 402*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21370 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 340.461 + -379.52. Let w = r - -0.059. Let j = w - -39.3. What is the smallest value in j, -1, 11\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 12*m + 4. What are the prime factors of 20*((-297)\/(-6) + m)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18687814.9999928 + -18687824. Let b = 1 + -10. Let n = q - b. What is n rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 - -11201?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 26, 57, 112, 197?\n\"Answer: w**3 + 3*w**2 - 3*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(10\/25)\/(12\/(-15)). Let b be ((g\/(-3))\/(36\/27))\/(-15). Suppose 4*n = -0*n. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 (base 10) in base 6?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19791 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119245518.\nAnswer: 2, 3, 7, 353, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -30. Let g be (1 - -4)*u\/(-2). Let i be (36\/10)\/(5 - (-92)\/g). Solve 8 = -5*n + 3*d, -i = 2*n + 3*n - 4*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1615 + -51293.\nAnswer: -49678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + 138. Suppose -692 = -5*n + z - 0*z, -r = -2*n + 3*z. Let p = n - 46. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4607401666?\nAnswer: 2, 7, 7529, 43711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939114\/(-153)*((-34)\/10 + 2\/5)?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1020403?\nAnswer: 1020412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630482 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(-1 + 4 - 2) - 3 - 1 + 2 - 18 + 103 - 51)*(-8*k**2 + 11*k**2 + 3*k - 5*k**3 - 2*k).\nAnswer: -170*k**3 + 102*k**2 + 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:23 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*8\/(-252)*-9. Let w(y) be the second derivative of -y**3\/2 - 15*y**2\/2 - 3*y. Let h(a) = -a - 4. Give q*w(m) + 15*h(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*y + 93*y = -5*g + 22, 4*g - 20 = -4*y. Solve 0 = -5*v, 19*v - 20*v + g = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8856 = 2*f, -19*f - 7092 = -4*v - 17*f. What are the prime factors of v?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0)\/2 + 4131 + -6. Let x be h\/(-28) + 2\/7. Let q be (-4 - x\/35) + (-1 - -1). Is q at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Suppose 0 = -q + r*d + 19 + 25, 5*q = 4*d + 187. Suppose -2*y + 86 = 5*s + 16, -4*y + 32 = s. What is the remainder when q is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohs when three letters picked without replacement from hshso.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.32. Which is the second biggest value? (a) h (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*i**2 - 756*g*i - 2465476*g with respect to i.\nAnswer: 10*g*i - 756*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 4. Find the common denominator of 9\/3 - 151\/n and 5 + ((-309)\/(-135))\/((-2)\/5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933113624.\nAnswer: 2, 383, 304541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 3:27 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (17 + -1) - (52 + -42)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10447*o**4 - 8925.\nAnswer: -41788*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 386 + -363. Let q(n) = -n - 4. Let t be q(-7). Suppose -i + 4*i - 5*x = 226, 4*i - t*x = 283. Calculate the remainder when i is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297\/(-108)*8\/(-44)*8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19914*s - 107179 wrt s.\nAnswer: 19914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlx when three letters picked without replacement from elwfx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose -2 = -v - m. Find the first derivative of -24*t**3 + 24*t**3 + v*t**4 - 3 wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8732174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086057459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875024, 1750043, 2625060, 3500075?\nAnswer: 4375088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1 + 5*j**2 - 476*j + 475*j - 4*j**2. Let n(q) = q. Let d = -2 - -3. Calculate d*s(z) + n(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010023371 to four decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.23585 years in centuries?\nAnswer: 0.4723585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14073 - 0?\nAnswer: -14073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14605089 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 28*p - 343. Let v = p + 404. Calculate the remainder when v is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 11, o: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6364, 2\/11, 2\/5, -0.5 in decreasing order.\nAnswer: 2\/5, 2\/11, -0.5, -6364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((294\/(-117))\/(-14))\/((-1106)\/(-5688)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -727, -2904, -6527, -11596?\n\"Answer: -723*u**2 - 8*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 1, w: 1}. Give prob of sequence wrrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + 16*l - 3. What are the prime factors of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364\/(-273)*-2*14*(-6)\/(-8)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((2 - -1) + -2 - (-31 - -35)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 8) to base 3.\nAnswer: 12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 0*n + 270522 = -12*n. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let p(d) = 16*d - 18. Give -4*p(j) + 72*w(j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195399815.\nAnswer: 3, 5, 23, 150649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 168 (b) 0.5 (c) 47 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355733523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) -1.3 (c) 25 (d) -6 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -38, -73, -120, -179, -250?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y**3 + 90*y**2 + 94*y**2 - 191*y**2 as m*y**2 + t + u*y + s*y**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(3) + sqrt(500)*2.\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 8. Let w be a(5). Suppose -x + 157 = 4*k - 147, -w*k + 3*x = -213. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and ((9 + 467)\/2)\/(2\/6)?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 101358.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5720668 (base 10) to base 12\nAnswer: -1aba6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) -0.05439 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11171.019 + 11166. Let l = j - -0.019. What is the nearest to 0.3 in -4\/5, -1, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16759465 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: Simplify (l**1)**19*(l\/(l**(2\/3)*l))**17*(l**(-2\/13)\/l*l**(-3\/2)\/l)**(-16\/3) assuming l is positive.\nAnswer: l**(353\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 1}. What is prob of sequence an?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let q(w) = -3440*w - 12. Give x(q(d)).\nAnswer: 6880*d + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 - -269. Suppose 21*f - 17*f = -4*t + s, -5*t - 49 = -3*f. Calculate the remainder when f is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 - m - 4. Suppose 5*g - 28 = p, -3*p + 1 = -0*p + 2*g. Let v be z(p). Suppose 5*l - 16 - v = i, -3*i + 6 = 0. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3594281 and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 352.72184.\nAnswer: 352.32184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/(115620\/(-423))*8*2\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfxgggfgggxff. Give prob of sequence fx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -246.1, 247, -430 in ascending order.\nAnswer: -430, -246.1, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20961.9 - -20962. Is r bigger than 127\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*-2*sqrt(612) - ((sqrt(204)*4 - sqrt(204))\/sqrt(12) - (1*sqrt(102) + sqrt(102))\/sqrt(6)).\nAnswer: -145*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -3*f**2 - 5*f + 3. Let v(i) = -5*i - 4. Let d(a) = 5*v(a) - 4*y(a). Let r(t) = -6*t**2. Calculate d(r(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -36. Let k be (9\/6)\/(-3)*x. Let o(r) = r**2 + 3*r - 4. Let l be o(k). Solve -6 = -4*m + l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136311*w = 136381*w + 2100 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) - (-9)\/7. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 38*m + 11. Let r be (-68)\/(-20) - 3 - 162\/30. Calculate the lowest common multiple of 8 and z(r).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -c. Solve -3*j + 13 = -3*i - 2, 0 = -c*j + i + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2 - 0. Suppose 5*p + y*r + 153 = 22, r = -3. Let s = -149\/6 - p. Sort 2, -0.4, s in descending order.\nAnswer: 2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 32 = 2*d, 0 = -0*d - 5*d - 2*k + 92. Suppose -47 = -3*i - d. Solve 2*q - i = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - 1010000010110001110010011?\nAnswer: -1010000010110001110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 11*q + 57 = 0. Suppose q*c = 0, 8*m - 4*c = 5*m + 12. Solve -4*b = 20 - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (221\/(-13))\/(-238)*7\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)\/x)**21\/(x\/x**(-2\/11)*x*x\/x**0*x*x) assuming x is positive.\nAnswer: x**(-57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -30*d**3 + 73*d**2 + 1223*d. Let m(s) = -14*s**3 + 34*s**2 + 611*s. Let j(x) = 9*m(x) - 4*o(x). What is the second derivative of j(p) wrt p?\nAnswer: -36*p + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -82. List the prime factors of (246\/g)\/(3*(-2)\/(-16)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11122 and 71878.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.034, 40, -20?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*t = 130*t + 457*t + 28860 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 38. Let r be (-2 - -36) + u - 4. Suppose -23 - r = -3*v + 5*n, 4*n - 16 = -4*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 1, u: 1, r: 2}. What is prob of picking 2 m, 1 v, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4490*f**2*y*z + 19*f**2*y - 53*f**2*z**2 + 6*f*y + f*z - 10*f + 410*y*z**2 + y*z wrt f?\nAnswer: -8980*y*z + 38*y - 106*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3820*t = 3941*t + 17117 - 782 for t.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12003 take away 3.9?\nAnswer: -4.02003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -45*q - 92. Give u(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.22 - -2.79. Let j = 193 + -192.99. Let w = j - m. What is the biggest value in w, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.1 (c) 2\/395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = 15. Suppose o + 507 = 5*y, -313 = -c*y - 2*o + 7*o. Does 30 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17084990 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -4*q + 0*q + 29*q**2 + 8 - 35*q**2. Differentiate i(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (0 - 0) + -1. Let y = -23.78 - -24. Let l = 0.12 - y. What is the closest to f in l, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89411*f**3*k**2 - 40190*f**2*k**2 - k**2 wrt f?\nAnswer: -536466*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.47696833 - 7.477. What is i rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-13 + 11 - (1 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**2 + 19*p + 44. Let i(c) = -3*c**2 - 6*c - 15. Let g(h) = 17*i(h) + 6*v(h). Solve g(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d - 104*d + 945*d**2 + 199*d - 923*d**2.\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954150493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 6 + 2*d**2 - 32 - 33 + 6*d.\nAnswer: 2*d**2 + 6*d - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.049 (c) -1\/2 (d) 0 (e) 9 (f) 2\/27 (g) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/6 + (-2)\/(-6). Let g = 42 - 33. Suppose 4*z + 3 - 1 = -r, 5*z - 2*r + g = 0. Sort -2, 0, z, u in ascending order.\nAnswer: -2, z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 12*k + 24. Suppose 2*p = 5*j + 45, 31 = 4*p - 3*j - 24. Let l be z(p). Solve d + 5*n - 1 = -2*d, -l = 4*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9947 is divided by 9901.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2*(-2)\/8). Let z = 0.6 - 2.6. Let a = 116 - 1510\/13. What is the nearest to z in -4, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2726 + 2947. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5336640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*f**3 + 1336*f**3 - 315*f**3 - 295*f**3 - 313*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:10 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s**2 + 7*s - 7. Let y(z) = z**2. Let b(o) = -m(o) + 3*y(o). Let f be b(2). Let j = f - -57. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -178*r - 1849. Is n(-35) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, 38, 520.4, 5, -35\/4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let s be n(8). Let b = s - -45. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -524679*q + 730023.\nAnswer: -524679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1210 and 57\/154.\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 2*r - 1. Let t(q) = -6*q - 3. Let k(x) = 3*o(x) - t(x). Let g(b) = 36*b. Calculate k(g(j)).\nAnswer: 7776*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d\/d**(-2)*d))))**45*(d*d**0\/d)\/((d*d**2)\/d*d*d) assuming d is positive.\nAnswer: d**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-7) - (-172)\/14*11. What is the greatest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608370 is divided by 128.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21679891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247\/42 - -37\/6. Let c = -1103.23 + 1103.2. What is the closest to c in 3\/5, 2, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahdgulh. Give prob of sequence gh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 3. Let v = 66 - 61. What is the remainder when v is divided by f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 + z - 1. Suppose 3*f - 2*j - 11 = 2*j, -j = -5*f - 10. Let r be q(f). Suppose 0 = 3*c + 4*o - r + 7, 0 = -3*c + 3*o + 33. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)*(-1 + -6). Let v(l) = -4*l - 3. Let n(z) = -8*z - 7. Let j(w) = h*v(w) - 3*n(w). Let o(a) = -a. Determine o(j(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -161, -91, 49, 283, 635, 1129, 1789?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16867 and 2727.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5111 - 5084. Solve 0 = -4*f - 2*y + 4, -f = -31*y + x*y - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66c225 (base 13) in base 4?\nAnswer: 21100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Suppose 0 = -v*x + 14 + 82. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -746, -748, -750, -752, -754?\n\"Answer: -2*o - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298480 divided by 533?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97, 100, 103, 106, 109?\n\"Answer: 3*k + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87858269 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.5, 153, 0.7 in decreasing order.\nAnswer: 153, 0.7, 0.5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 291746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, -0.5, -98\/23, 4.\nAnswer: -98\/23, -0.5, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42 + (-3)\/(3\/(-2)))*(-11)\/55. Let i = 0.4 + -16.4. Which is the second biggest value? (a) d (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 88. Let n = 102 - 88. What is the highest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 20011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4239, 8 in descending order.\nAnswer: 8, -5, -4239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252530365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 4*d - 1122. Suppose -3*k + d = 54. Suppose i = -3*x + 45, 0 = 3*x - i - k + 9. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48413990 and 2.\nAnswer: 48413990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -26385000 to the nearest 10000.\nAnswer: -26390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 82, 134, 262, 484, 818, 1282?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 1, e: 5, r: 6, g: 1, m: 3}. What is prob of sequence mm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -149. Is 1317*4\/k*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1668*3\nAnswer: 5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 0.08. Let b = 0.3 - 0.4. What is the smallest value in -2\/15, b, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -1, 1.45, 0.032, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020112211120201 - -21?\nAnswer: 22020112211120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -486\/5 - 30*x**3 + 27\/5*x + 72*x**2 + 3\/5*x**5 + 6\/5*x**4 = 0. What is x?\nAnswer: -9, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3080 or 9242\/3?\nAnswer: 3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -23 + -46 - -39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r - 9. Let y be q(-1). Let v = -15.03 - -0.03. What is the nearest to -0.1 in v, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 936380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2))\/sqrt(8)*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-279) + 8218472\/178746.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1001210?\nAnswer: 1001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -o + 5*o. Suppose o - 2 = f. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 103*l - 587. Let k be i(6). Which is the nearest to 4\/3? (a) -0.08 (b) 0.5 (c) k (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:01 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 84 - 86 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 335, 626, 863, 1016, 1055, 950, 671, 188?\n\"Answer: -5*r**3 + 3*r**2 + 317*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 909727859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -20\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/54, -0.8, -1, 0, -1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -n + 5*t + 24, 3*t + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57687 by 6.\nAnswer: -19229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9515152429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -178. What is the highest common factor of b and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 33\/2. Let c = -243\/7 + 35. What is the second smallest value in j, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2928\nAnswer: -1\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 7*c**4 + 6 - 6)*(-3*c + 2*c - 2*c)*(-3 + 2 + 4).\nAnswer: 63*c**5 + 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2045 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1925.7 + -1926.03. Let k = 0.1 - -0.9. Let b = -2 + k. Are x and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*j + 12*j + 112 - 60 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 17 = 5*f, 3*f + 1 + 0 = -d. Suppose 6*y - 18 = 9*y. Let j be (-10)\/(-6) - 2\/y. Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 12*u - 2. Suppose -2*q + 2 = 119*m - 115*m, -10 = 2*q. Let f(w) = -w**2 - 13*w - 1. Determine m*f(r) - 2*l(r).\nAnswer: -r**2 - 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6 + b**4 - 3 - 3*b**2 + 2*b**3 + b**2 to the form w*b + z + c*b**3 + i*b**4 + j*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24033930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 533, 1470, 1799, 512, -3399, -10942?\n\"Answer: -168*w**3 + 704*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11929545917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18256, -36926, -56012, -75520, -95456?\n\"Answer: -i**3 - 202*i**2 - 18057*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25441)\/12 - (-4)\/(-6). Let b be ((-63228)\/30)\/1 - 2\/5. Let d = b - l. Calculate the common denominator of -32\/5 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyp. Give prob of picking 1 y, 1 n, and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 186 = 5*p, 2*p - 105 = -p + 4*w. Let h be p\/(-52)*(-16)\/18. Let r = 0.3 - 0.1. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 21. Suppose -h - 3 - p = 0. List the prime factors of h\/((2 - 2) + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 5*q + 4*q. Let f(r) be the third derivative of r**7\/5040 + 7*r**5\/60 - 8*r**2. Let n(j) be the third derivative of f(j). Give a(n(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 6 = 69. Let n be (1*-2)\/(j\/(-18)). Let f(m) = m**3 + 2*m**2 - 7*m - 6. Let y(v) = v**2 - v - 1. Let r(k) = f(k) - 5*y(k). Give r(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from xjxjgqxxjqxxjqpjxg?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 198. Let s = -19.29 - -15.29. Put -1, h, s, -2\/5 in decreasing order.\nAnswer: -2\/5, -1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2 + sqrt(18))\/sqrt(6))**2 + (sqrt(363)*-3)**2 + 2.\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 13 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12518.57187 seconds to weeks.\nAnswer: 0.020698696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 18613135\nAnswer: -1116788.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0.3, 49 in ascending order.\nAnswer: -4, -1, 0.3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 8*y + 14. Let t be h(-6). Let j be (-1)\/(-3)*(1 - -1). Factor -j + 7\/3*f**t + 5\/3*f.\nAnswer: (f + 1)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 49*v**2 - 50*v + 383. Is y(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -5\/6, -2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/9 - 1528366*y**3\/9 - 7641866*y**2\/9 - 10698626*y\/9 - 1528376\/3 = 0. What is y?\nAnswer: -3, -1, 764188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065629047?\nAnswer: 7, 152232721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/4 + -6 + 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, -0.1, -7, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -817055*h**3\/6 - 2*h**2 - 2*h. Let r be v(-2). Let q = r - 184106. What is q rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*sqrt(68)*3 - (sqrt(68) + (sqrt(68) + 0)*-6 - sqrt(68))) + 4 + -5)**2 + -2.\nAnswer: -48*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26*t**2. Let x(p) = -6*p**2. What is x(m(g))?\nAnswer: -4056*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 + 4*q**3\/7 - 22*q**2\/7 - 24*q\/7.\nAnswer: 2*q*(q - 3)*(q + 1)*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 21 = -m - 2*m, 0 = -2*m + 6. Let j(u) = -8*u**3 + 6*u - 8. Let v(w) = -7*w**3 + 5*w - 7. Calculate l*v(d) - 5*j(d).\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 119 in ascending order.\nAnswer: 4, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 431789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -95.\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 509549*g**2 + 7*g - 7431757 wrt g?\nAnswer: 1019098*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 16970436.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -0.2, 0.4, -68?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Let v be ((-2)\/b)\/((-3)\/45). Put -5, v, -1 in decreasing order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32984.6353 - 32982. What is a rounded to 2 dps?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 6. Let y(l) be the third derivative of 7*l**5\/60 + l**4\/24 - l**2. Calculate y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0241? (a) -3 (b) -14 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 10. Suppose -3*h + 12 = -l*h. Let r = h + -3. Calculate the greatest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:46 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 5. Let l be h(-5). Suppose 8 = j - 2*i, -i + l = 4*j - 5. Let g = -12 - -18. What is the greatest common divisor of j and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -13*j**9\/7560 - 11*j**5\/60 - 7*j**4\/4 - 23*j**2. Let x(i) be the second derivative of m(i). Differentiate x(t) wrt t.\nAnswer: -104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*7 - (1\/(-8) - 3577\/(-584)). What is the second biggest value in g, 3398, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-180)\/135)\/((-16)\/765444)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(108) - (0 + sqrt(108) + 4) - -6*(sqrt(108) + -1 + sqrt(108) + sqrt(108)) - -3*3*(sqrt(108)*2 - sqrt(108)))*6 + 5)**2.\nAnswer: -108864*sqrt(3) + 2837488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 122120594 to the nearest one hundred thousand.\nAnswer: 122100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = y + 6, 16 = 3*u + 3*y + 2*y. Calculate the lowest common multiple of (-4)\/(-2) + 3 + 1 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5700359 - -5.57. What is z rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3706140 is divided by 283.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/16 - (-422)\/16. Let v(n) = g + 0*n - 26 + 4*n. Let q(p) = 8*p**2. Calculate v(q(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 224, 223, 220, 215, 208?\n\"Answer: -f**2 + 2*f + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547950787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 161, 340, 573?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4a5793 (base 11) in base 6?\nAnswer: -1500452100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 43 = 3*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13414998.\nAnswer: 2, 3, 61, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**2 + 1\/3*h**3 + 0*h**5 + 2\/15*h**6 - 1\/21*h**7 + 0 - 6*h - 1\/3*h**4. Factor a(l).\nAnswer: -2*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113030 (base 4) to base 8\nAnswer: -2714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 31178907739473?\nAnswer: -31178907739463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:35 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.02 - -0.02. Let d = -29.096 - a. Let l = d - -0.09599933. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose -w = -7 - 3. What is the remainder when (x\/(-2))\/((-6)\/174) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/767 and 55\/7.\nAnswer: 5369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:00 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let x = -54 - -59. Calculate the least common multiple of x and u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100010101 - 10?\nAnswer: -11100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 23 - 2 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.032.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 2, -6775, 5 in descending order.\nAnswer: 8, 5, 2, -3, -6775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874 = 74*p - 1054 - 514 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.570855 rounded to 1 decimal place?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -14*u - 8. Let g(s) = -s - 1. Let j(t) = -8*t - 8. Give u*j(f) + 14*g(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from bbruuuububb?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42135660 divided by 42.\nAnswer: -1003230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58731 by 64.\nAnswer: -58731\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -94, 3 in decreasing order.\nAnswer: 3, 0, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -102. Suppose -2*k = 28 + 52. Let w be (230\/k)\/(22\/(-8)) + -2. Which is the biggest value? (a) w (b) -1 (c) -2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1572641.0764 - -1573110. Let j = y - 469. Round j to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - w**3 - 18*w - 1 - 6*w to x*w + q + t*w**2 + s*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 40. Let d be i(6). Suppose -d*z + 399 = -305. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 2*i**3 - 5*i**3 + (-4*i + 3*i - i)*(4*i**2 - i**2 - i**2) - i**2 + i**2 + 2*i**3 - 3*i**3 - 4*i**3 + 5*i**3 + 1934*i - 962*i - 972*i + 7974*i**3.\nAnswer: 7968*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*i - 6641 = -148*i + 73903 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:09 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -125. Let z be (0 - (0 + f)) + -2 + -2. Let i(m) = 6*m. Let j(k) = -k. Let r(s) = i(s) + 5*j(s). Determine r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 17 + 32 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20899*d - 10706*d - 24 - 10580*d to j*d + b and give j.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-1\/2)*t*t)*t**(-2\/19)*(t**(-3\/8)\/t)\/(((t\/(t**(-2\/3)*t))\/t*t)\/t) assuming t is positive.\nAnswer: t**(-1207\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.991961t in kilograms?\nAnswer: 7991.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16290 - 16290. Solve p = -25*u - 27*u - 156 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5\/7 - 3884*w**4 + 434148*w**3\/7 - 158884*w**2 + 705224*w\/7 = 0. Calculate w.\nAnswer: 0, 1, 2, 13, 6781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-10*g + 4*g**3 + 10*g) + 441*g - 26*g**4 - 441*g - 4*g**4 + 3*g**4 - g**4 + (2*g**3 - g**2 + g**2)*(0 + 0 - g).\nAnswer: -38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 612205898 and -20.3.\nAnswer: 612205877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 5. Let g = 1 + -6. Let l be q(g). Let i(j) = j**2 + 2*j + 2. Let d be i(0). Solve -d*z = 5*s + z + l, -2*z = 3*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 8. Let y be (4 - (-15)\/j) + 1. Let l be 4 + 0 + -4 + y. Solve 26 = q + 3*q - l*f, -2*q - f + 3 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 1 + 1)*(-6 - 1 + 1)*(0*i - 2*i + 4*i) to the form f + c*i + n*i**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16 = -5*v, 6*c - 10*c = 3*v - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14125072 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 - 846*t + 849 = 0.\nAnswer: -283, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00807835631 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-1*1)\/(44\/22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(2) - sqrt(2) - (sqrt(2) - (sqrt(4) - (sqrt(4) - (1*sqrt(4) - sqrt(4))))\/sqrt(2))) + (sqrt(4)*-2*5)\/(3*sqrt(18)).\nAnswer: -208*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1044665, 4178663, 9401991, 16714649, 26116637, 37607955, 51188603?\nAnswer: 66858581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 42*i**4 - 2*i**3 + 29. Let y(z) = 126*z**4 - 7*z**3 + 86. Let r(g) = 7*o(g) - 2*y(g). What is the first derivative of r(b) wrt b?\nAnswer: 168*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000012000020 (base 3) to base 16\nAnswer: 104625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4\/3 + 1016*p**3 - 187356*p**2 - 2359152*p - 7188912 = 0 for p.\nAnswer: -6, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 25076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-22 - (-36 + 20)) - 30\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.22813376 rounded to 2 decimal places?\nAnswer: 5.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -28. Let w = f + -19. Find the third derivative of 2*y**4 + 163*y - 12*y**2 - w*y**4 - 163*y wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377890.\nAnswer: 2, 5, 23, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66626219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 117, -5, -4, -66, 9 in descending order.\nAnswer: 117, 9, 1, -4, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000251371 to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.4649 rounded to 0 dps?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -86, -127, -168, -209, -250?\n\"Answer: -41*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 610 - -312. Suppose 3*h = 2*b + 997, -3*h + 95 = 3*b - x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 4. Suppose t = -2*b + 5*b - 6, 5*b - 10 = 0. What is the nearest to k in -1, t, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 32*x**2 + 250*x + 62. Determine t(-14).\nAnswer: 2834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1120248 and -77\/840186.\nAnswer: 3360744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 816 - 811. Suppose 0 = 2*l + 3*l - 15. Suppose p*b + 263995 = 4*b + 5*k, -l*b = -3*k + 791997. What is b rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104815.\nAnswer: 5, 7, 43, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 153*p**2 + 436*p + 2411. What is z(150)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1347 (c) -1 (d) -6\/5 (e) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 minus 24348?\nAnswer: -24347.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12021121102?\nAnswer: 12021121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1106.952 and 0.4.\nAnswer: 442.7808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 5. Let f be o(6). Let y = f - 35. What are the prime factors of (160\/y)\/(1\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 2, y: 1, v: 1}. Give prob of sequence yw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 + 127. Suppose -q = 5*o - 15 + 4, 0 = -t*o + q + 19. Solve -s + 3 = 2*k, -s - o = -2*k - 2*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/((2 - 11)\/(-3)). Let w = -1 - -1. Suppose -2*j + l*j + 18 = w. What is the greatest common divisor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 4*a**2)*(-a + 3*a + 2*a**2 - a**3 - 4*a**2).\nAnswer: -4*a**5 - 8*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:51 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + 351. What are the prime factors of o?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2784549 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(1*(-6)\/9 - 0). Factor -31*a - a**3 + 8*a**2 - 3*a**4 + c*a**4 - 9 - 5*a**3 + 37*a.\nAnswer: (a - 3)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**3 + 7*x**2 - 57*x - 4. Let d(z) = -2*z**3 + 2*z**2 - 19*z - 1. Determine -7*d(s) + 2*r(s).\nAnswer: 2*s**3 + 19*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-15))\/(((-6)\/(-3))\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1002*i = 999*i + 4, 4*g - i = 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -22, -3, -12 in descending order.\nAnswer: -2, -3, -6, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20030 (base 8) to base 6\nAnswer: -102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) 4 (c) 1 (d) -6 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*45\/525)\/(6\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -472\/2484135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + 1 + -48 + (-228 - (55 - 291)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, -5, 93 in descending order.\nAnswer: 93, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 161667 divided by -9?\nAnswer: -17963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1 - (3 + -1). Suppose 3*v = h*v - 132. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 + 4*w + 3. Let d be g(4). Let n(j) = -j**3 + 4*j**2 - 2*j + 1. Let l be n(d). Let f(h) = -2 - 3*h + l*h + 2*h. What is f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*w + 3380 = 47*w - 167*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*i - 173 - 147 = 0. Let x = -5.9 + 0.9. Let q = 29 + -28. Which is the closest to q? (a) 2\/5 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 180. Which is smaller: -40 or d?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*1009.12.\nAnswer: 242.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + k - k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let o be t(-4). Suppose 3*d - 3 = 0, -o*h = -0*h + 4*d - 16. Let x(m) = m**3 - 3*m**2 - 3*m + 1. Calculate x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 59, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + 646. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.02537 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/5)*y*y**1\/y)**4*(y\/(y*y**(1\/4)*y*y)*y**(-3\/7))\/(y**(-2\/5))**(-33) assuming y is positive.\nAnswer: y**(-879\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 - (16 - (-988)\/(-169))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/8 - 99170301*p\/4 + 9834748600430601\/8.\nAnswer: (p - 99170301)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19 - 13 - (9 + 20 + -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4927.87.\nAnswer: 19711.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 23*m**3\/3 - 10*m**2 + 32. Find the second derivative of r(z) wrt z.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -867, -869?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 17886*n**2 - 250698*n + 877786.\nAnswer: 2*(n - 7)**2*(n + 8957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 925 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 + 30 = 0. Let z be 8\/a + 603\/(-5). Let l = z - -186. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -235*i**2 - 86 + 114*i**2 + 23*i + 123*i**2. What are the prime factors of r(11)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 65*l + 33*l + 28*l as f + u*l and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18682224 and 7005834?\nAnswer: 56046672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0424 - 0.0276. Let v = -0.8 + 1. Let f = v + 0.8. Which is the closest to s? (a) -0.3 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(4 + 98\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181473097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 2*t. Suppose 5*q = -y - 8, 3*q = -0*y - 2*y - t. Put -3, 4, q in decreasing order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1939\/4 - -485. Is l less than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1892544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.831660146 to four dps.\nAnswer: -1.8317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/3 + 16*x**3\/3 + 40*x**2 - 2150*x. Factor f(n).\nAnswer: -4*(n - 10)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 47.4\nAnswer: -189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 340 - 220 = 0. Suppose -3*q + w + 55 = 0. What is the remainder when 199 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 1708 in descending order.\nAnswer: 1708, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 106*j**2 + 504*j + 4312\/3.\nAnswer: 2*(j - 154)*(j - 7)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6582833780?\nAnswer: 2, 5, 4639, 70951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttad when four letters picked without replacement from {a: 1, t: 8, n: 2, d: 1, p: 4}.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9885 is divided by 670?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -55*w + 42*w. Suppose 113*z + w = 114*z. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-36))\/(3\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4794 + 0.454. What is p rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/42 and 97\/612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-81)\/12))\/(5\/(-300)*8).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -4*y, 1 = -3*k - 0*k - 4*y. Let b = -4 - k. Let c be 2\/(-5) + (b - (-156)\/140). What is the nearest to c in -3\/8, -5, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/2 and 24\/193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**7\/280 - 3*v**6\/320 + v**5\/80 - 5*v**2 - 14*v - 198. Let c(t) be the second derivative of k(t). Factor c(a).\nAnswer: -3*a**2*(a + 2)*(2*a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0345983nm in meters?\nAnswer: 0.0000000000345983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 50. Suppose -k = 3*z - 40, l*k + z - 29 = 75. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 18*f - 24. Suppose -312 = -f*s + 668. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9 + 11 + (0 - 3) + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9847 * 20\nAnswer: 196940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*c + 4524 = 259*c. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v = -43*v + 3080. Let j(o) = o + 5. Let c be j(0). Suppose 5*t - l + 17 = 80, c*l - 9 = -2*t. Calculate the remainder when v is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.38 + -1.98. What is the closest to -0.093 in -5, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.584 - 10.597. Let f = -4.912 + 11.899. Let n = f - h. What is the closest to 0.1 in 0.5, -2\/5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 + 15382*f**4 - 29537264*f**3 - 147947912*f**2 - 236852096*f - 118456832 = 0.\nAnswer: -2, -1, 3848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-240))\/(-6 + (-295)\/(-50)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*x**4 - 103 + 12*x**4 + 2*x**3 - 18*x + 104 as h*x**2 + t*x**3 + b*x**4 + j + m*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(91)\/sqrt(7))*4 + sqrt(832) + sqrt(832)*-3 + sqrt(832))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g**2 + g + 1. Suppose 5 = 4*h + 25. Let z(i) = i + 11. Let k be z(-10). Let x(y) = -6*y**3 + 5*y**2 + 3*y + 4. What is h*r(q) + k*x(q)?\nAnswer: -q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (441\/28)\/7*8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20247 - -20247.18278. What is n rounded to 3 decimal places?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 s when four letters picked without replacement from iiiciisici.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(-60)*-2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:12 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 7*u**6\/30 + u**5\/20 - u**4\/4 + 3*u**3\/2 - 146*u - 2. What is the third derivative of w(j) wrt j?\nAnswer: 168*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 0.6, -3, -2.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsxxpxxhpxpspxplpex. What is prob of sequence phxe?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55818282 by -715619.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3028*h - 3083*h + 2 - 4*h**2)*(h**2 - 14*h + 2*h**2 + 19*h).\nAnswer: -12*h**4 - 185*h**3 - 275*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6049.\nAnswer: 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-16)*(-50)\/(-15). Let a(n) = -1. Let b(g) = 21*g - 6. Let t(w) = -4*a(w) - b(w). Is t(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*s, 2*x + 1 + 14 = -3*s. What is the tens digit of (-7934)\/(-10) + (-2)\/x*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 12*i - 2. Let z be j(-13). Suppose 3*a - 3*t - t = z, -a = 5*t - 29. What is the remainder when 17 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(456)*-1 + sqrt(456)))\/(sqrt(128)*2 - sqrt(8)))\/(sqrt(27) - sqrt(108)*6 - -6*sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/27 + 2*j**5\/45 + 35. Let o(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629258 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -132, 5 in ascending order.\nAnswer: -132, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9394 divided by -2.\nAnswer: -4697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2345*l + 1152*l - 384*l - 1516*l - 1992*l to s + b*l and give b.\nAnswer: -5085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356728514*n**2 - 147359994*n.\nAnswer: -713457028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 10. Let a be j(7). Suppose a*t = 9*t - 4*u - 181, 4*t - 116 = -4*u. Suppose x - t = -2*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**3 + 0*n + 0*n**3 + n)*(-112 - 106 - 18) as y*n**3 + w + g*n + p*n**2 and give g.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -36, -23, 8, 63, 148, 269?\n\"Answer: q**3 - 6*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*g + 18 = g, -5*c + 2*g + 6 = 0. Let y(b) = 8*b**c + 0 + 1 - 7*b - b**3 - 5. Does 13 divide y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 9*n**5\/20 + 13*n**4\/12 - 11*n**2\/2 + 7984*n. Let k(x) = -5*x**3 - 6*x**2 + 6. What is -6*c(w) - 11*k(w)?\nAnswer: w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one halves of a hour?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3, 2\/5, -0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -564, 2019, -2, -1.\nAnswer: -564, -2, -1, 2019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, r: 1, t: 3, s: 1}. What is prob of picking 2 t and 1 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 372822691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265120 = -4*k + 3*i - 83640, 2*k + 5*i = 90688. Is k a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*n + 62351 = -28*n + 719. What is the greatest common factor of n and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/100 + a**5\/150 - a**4\/5 - 4*a**3\/15 + 10*a**2. Determine i, given that w(i) = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.632 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudukkkkkuuuku. Give prob of picking 2 k.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -1, 2\/17, -23 in decreasing order.\nAnswer: 2\/17, -1, -23, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 355836*h\/7 + 15827407362\/7.\nAnswer: 2*(h - 88959)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -153.35, -4.\nAnswer: -153.35, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.892+-5.9217\nAnswer: -5.0297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + 1300201123?\nAnswer: 1300201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b + 4. Let a be 14\/4 + b\/2. Let m be (48\/18)\/(4\/6). Solve -m*n = -s - 3, a*s + 8*n - 23 = 4*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895 + 2706 = 27*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2, -0.1, -0.2, -3\/23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3633 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 22 - ((2 - 0) + -16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 7*f**2 + 5*f + 4. Let y(g) = -g**3. Let d(t) = r(t) - 4*y(t). Let b be d(4). Let w = b + 26. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150111.\nAnswer: 29, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*u**4 - 4 + (-u**4 + u**4 + 2*u**4)*(-2 - 9 - 2) + 2*u**4 + 2*u**4 - 3*u**4 + (3*u + 3*u + u)*(-u**3 + 2*u**3 - 3*u**3).\nAnswer: -37*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-63)\/15*-1)\/((-3)\/(-15)). Factor -15*g**2 - x*g + 184*g**4 + 21*g**3 - 166*g**4 - 2 - 1.\nAnswer: 3*(g - 1)*(g + 1)**2*(6*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 4, x: 1, k: 6, a: 1}. What is prob of sequence xuam?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(5\/3)*t*t**3*t**(7\/3)\/t**3 assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5951 + -5886. Calculate the remainder when 206 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 370754 or 7785832\/21?\nAnswer: 370754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/755346 and 79\/194928?\nAnswer: 6042768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*a = -93 - 41 - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7*r - 3)*(-373*r + 91*r + 59*r + 113*r).\nAnswer: -770*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 19}. Give prob of sequence ccc.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*-2 + -1. Suppose l = 2*p - 8 - 0. Suppose 3*a = 8 + p. Solve 5*u = -2*k - 17, 0 = a*u - 2*k + 6 + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 5 = -6*y. Let q be y\/(-2)*-193 + (-8)\/(-16). Let t = -46 - q. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -138*a**3 - 22*a**2 + 8*a + 203. Is d(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*(-4)\/(-4)*(-1)\/2. Suppose 2*j + 4*z + n + 1129 = 0, -z + 2272 = -4*j. What are the prime factors of (-2)\/(20\/5)*j\/2?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:15 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18239 is divided by 2269.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041311 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.029454538 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -649226043548?\nAnswer: -649226043549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-275)\/18)*1004\/(-8534)*17\/(-6).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2899 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 4*i - 9*m = -134, -52 = 2*i - 3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*x - 7, -1 = -l + 2*x + 4. Let m(z) = 2*z**2 + z + 2. Let h be m(-1). Suppose -2*o = -3*a + o - 15, h*a + o = l. Is -2\/3 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.263 + -2.763. What is the second smallest value in 5, y, 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d + 4*f = 54*d + 9477, -4*d = 3*f - 12650. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:29 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13043 - -23?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + -24 + (9 - 5) + 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*n + 408*n = 17640. Does 120 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1261 + 1277. What is the greatest common factor of 192 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 103 = -4*f, 27*l - 54*l = -32*l + f - 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -18 - -4 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:50 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, l: 3}. What is prob of picking 1 h and 3 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2594, -5865, -14742, -32027, -60522, -103029, -162350, -241287?\nAnswer: -342642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, 0.2, 224 in ascending order.\nAnswer: 0.2, 9\/4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68)\/sqrt(4))**2 + sqrt(17) - ((sqrt(153) + 3 - sqrt(153)) + sqrt(153)).\nAnswer: -2*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 2*v. Suppose 4*r + 0*p + 4*p + 12 = 0, v*p + 25 = 5*r. Suppose -2*u - r = -7. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3351 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (15 - -3 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/120 + w**5\/3 - 3*w**4\/2 - 7*w**3\/3 + 33*w**2. What is the hundreds digit of z(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**2 - 74*t + 17. Let q be l(19). Solve 3*b = -n - 10, n + 0*b + q = b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 734 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Let n be 6 + ((-88)\/330)\/(1\/21). Which is the third biggest value? (a) r (b) n (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61966 is divided by 15288.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 1 + g - 4. Let m be y(-9). Suppose 0 = -5*z - m*f + 44, f + 3 = z - 4. Calculate the greatest common divisor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -124, -243, -406, -613?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**4 - 22*u**2 + 88*u**2 + 13 - 4*u - 2*u**4 - 13*u**2 - 31 wrt u?\nAnswer: 24*u**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - j + 12172 - 1761.\nAnswer: 8*j + 10411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-29 + (24 - 21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 6*r**2 + 7*r - 8. Let u be n(4). Suppose -11*h - 2*h + u = 0. Solve 5*g + h = 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/4 - 6*b**3 - 21*b**2\/2 + 36*b - 3691. Give v(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/291977177?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73530 and -1171157890.\nAnswer: -1171231420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625614685?\nAnswer: 5, 37, 3381701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**5\/3 + 361*o**4 - 2776*o**3\/3 - 1304*o**2\/3 + 1424*o + 1712\/3 = 0.\nAnswer: -1, -2\/5, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 20*l + 87 = j, 5*l = j - 87. Let w be (609\/14)\/(1\/2). Is w > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002002 - -110?\nAnswer: 20002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -14. Let j be 2\/(r\/(2 + 0)). Is j less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oolvvvvokxvvrlolrv. Give prob of picking 2 l and 2 r.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279 = -329*r - 45*r - 39*r + 3264 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -2\/5167, 1, 3 in descending order.\nAnswer: 3, 1, -2\/5167, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**2 - 2*v**6 + 6*v**2 - 3*v**6 wrt v?\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465948*s**5 + s**4 - 635986*s wrt s?\nAnswer: -9318960*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 0*b. Let m be (-6)\/8*b\/6. Which is greater: m or -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -29 + 0*v - 31\/3*v**3 + 0*v**2 + 6*v**4. What is the third derivative of z(d) wrt d?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a + 6. Let v(s) = s**2 - 16*s - 44. Calculate the remainder when v(19) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from hkvgkhgkkvkkg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942 = -109*h - 48*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78193, 156357, 234521, 312685?\nAnswer: 390849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*a + 9 = 0, 0 = -3*u - 15*a + 14*a - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29b - 23670?\nAnswer: -2393b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161643.\nAnswer: 3, 53881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 190*d + 25844. Determine y(-135).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -164. Suppose -4*d - 2*u = -32, -4*d - 4*u - 5 = -f. Let q = 33 - 18. Solve -4*n + d*n - q = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885341551 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: Is 869233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 129.5. Sort c, -1, 5, -0.02 in decreasing order.\nAnswer: 5, -0.02, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**2 + 7*b - 7*b)*(2*b**2 - 4*b**2 + 0*b**2) + 22*b**4 - 1661 + 1661.\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/7 + 19344*s**2\/7 - 500916*s\/7 + 3251560\/7 = 0. What is s?\nAnswer: 13, 4810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -426.9 - -431.9. Put g, 4, 61\/19, -3, -2\/11 in descending order.\nAnswer: g, 4, 61\/19, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -144 - 7*b**4 - 284*b + 1\/4*b**5 - 208*b**2 - 66*b**3 = 0?\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3 and 15\/179?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.2 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -102518*w + 1. Let p(o) = 3*o. Give p(u(f)).\nAnswer: -307554*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 198*q - 2926. Give a(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*q. Let h(s) = -s**3 + 4*s**2 - 3*s + 3. Calculate h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357677171?\nAnswer: 7541, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -2. Factor -2*t + 4*t**4 + 12*t**2 - t + 2*t - 3*t - 12*t**c.\nAnswer: 4*t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 317417?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 16. Let w be p(4). Solve s = -3*m + 19, s + w*s - 35 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(5 - 4*p - 4*p + 10*p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 1. Let m be i(-1). Let b be 2 + m - -1 - -8. Let o be 2\/(-30)*b\/(-3). What is the third biggest value in 2\/7, 3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9*(3 + 83))\/(50\/10 - 3). Sort -2, 5, -5, k in ascending order.\nAnswer: k, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d)\/(d\/(d**10\/d)) assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704624209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*z + 512 = 0, -450*c + z = -449*c - 524. What is the remainder when c is divided by 100?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y**4\/5 - 67*y**3\/5 + 67*y**2\/5 + 28*y\/5 - 12\/5 = 0 for y.\nAnswer: -1\/2, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 13968053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38266 by 14077.\nAnswer: -38266\/14077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iicc when four letters picked without replacement from iiciccjicciccjc.\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-24)*-6*2\/92.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980686.2nm to kilometers.\nAnswer: 0.0000009806862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*k + 51 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 210*t**2 - 148*t - 13301. Give y(211).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*a + 6*a - a)*(-1 + 4 - 1) - 28*a - 18*a + 27*a + (-6 + 2 + 1)*(-4*a + 2*a + 4*a) as w*a + n and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 27 + -9 - 8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -45\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -416 - -417. Sort -2, v, -29, -4.\nAnswer: -29, -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose 176 = -0*z + g*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g + 1 + 0)*(678 + 190 + 171)*(0 - 1 - 1)*(3 + 0 + 0 + (7 - 3 - 3)*(3 + 1 - 3)).\nAnswer: 8312*g - 16624","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**7\/420 - j**4\/12 - j**3\/6 + 4*j**2. Let z(f) be the first derivative of b(f). What is the derivative of z(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31317\/8348 - -3\/2087. Which is the third smallest value? (a) -33 (b) 1 (c) 0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:20 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 11*d + 12*d - d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 43. Is -1\/31 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1207345.3 and 341578.8?\nAnswer: 1548924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:22 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) - (-17156269)\/645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdgdtgguuuug. Give prob of picking 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504157437 to the nearest integer?\nAnswer: 38783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 30250234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*y - 7 = -0, 3*w - 18 = -2*y. Suppose -6*k + 4*k = -3*p, 2*k = -p + w. Solve -3*l + p*l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*j + 52 = 0, -20 + 16 = k + j + 3*j for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v + 0*v**2 - 1\/3*v**4 + v**3 + 4\/15*v**5 - 7\/180*v**6 + 3. Let j(i) be the third derivative of n(i). Solve j(q) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 2 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -124, 53 in increasing order.\nAnswer: -124, -2, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of (-2125656)\/(-396) + 2\/(-66)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + 20 + (0 - 36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 5 = -m. Let c(k) = k**2 + 4*k + 3. Let d be c(m). Suppose -10*x + 509 + 251 = d. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348, 1389, 3124, 5553, 8676?\nAnswer: 12493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 697 - 680. Suppose -4*m + 133 = 3*b, 14*b - 5*m + 128 = q*b. What is the remainder when 91 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1472116127 + 4?\nAnswer: -1472116123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(sqrt(76) - ((-1*sqrt(76) - sqrt(76)) + sqrt(76))) - sqrt(76)))\/(-1*sqrt(196)*-4).\nAnswer: -5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117008 or 117616?\nAnswer: 117616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let j = 4 + -2. Let s(o) = -5*o**2 + 3*o**2 + 3*o**j. Determine a(s(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from qiyiiibbibbiyihiy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2976, 0, 4, 5, -2, -3, 2 in increasing order.\nAnswer: -2976, -3, -2, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373483.8482 plus -5?\nAnswer: 373478.8482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 16*v - 7. Let a(k) = k**2 - 8*k - 4. Let d(z) = -5*a(z) + 2*t(z). Let j be d(9). Suppose 0*n - n = 0. Are n and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 16*v**2 + 6*v + 5. Let j be a(-1). Suppose 27*l - 5544 = j*l. What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/11 - -160\/253. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -50*u - 15959. Let t(m) = 4*m - 4. Determine t(i(h)).\nAnswer: -200*h - 63840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/407)\/((-1)\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 397558296 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*i - 9, 3*i + 4 = 2*t + i. Let u be (-66606)\/(-15) - 10\/25*t. What is u rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27072818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -10954 and -10953 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2006796 divided by 2.\nAnswer: -1003398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-20)*10\/(-4). Suppose -3*a = -2*z - 8, 7 + 11 = q*z + 3*a. Let b = -1 + 1. Sort b, z, -4.\nAnswer: -4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 3094.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 18*a + 2. Let p be c(-9). Suppose 5*u = 15, -p*q - 3*u = -7*u - 32. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/111232700 and 131\/20060?\nAnswer: 111232700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3814 - -24123. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.69 + -0.3. Let d = -0.39234 + k. What is d rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3*p + 3, -3 = 4*h + 7*p - 2*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let b = -230 + 243. Let j(t) = -4*t + 57. Let a be j(b). Solve -6 = n*o - a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1011096 and 26.\nAnswer: -1011070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058218 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose 18 = 4*d - 2*y, -2*y = 2*d + v*y + 21. Factor -3*w**d + 9*w**2 - 3*w**3 - 5 + 3*w - 1.\nAnswer: -3*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**2))\/t)\/(t**1\/t) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 2, 1\/5407?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*i - 35, -6*b + 11 = 5*i - 5*b. Suppose -5*r + i*x + 14 = 0, 5 = -r + 4*x + 1. Find the second derivative of 0*l - l**r + 2*l + 8*l**4 wrt l.\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120531210 to the nearest 1000000.\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2882\/22945?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108259654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.384 - -0.184. Let f = 14 + -15.5. Let g = f + -1.5. Which is the closest to 0.02? (a) g (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -5 - (13 + -11). What is the derivative of 5 + g*f**3 - 5*f**3 + 0 + 11 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3624740?\nAnswer: 1\/3624740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w + 10*w + 13*w - 3 + 8*w. Is c(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76\/(-18)*27943\/(-2) + (-364)\/(-1638)?\nAnswer: 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19263208.\nAnswer: 2, 1013, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-10)) - (-132)\/44.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4970408312 - 317\nAnswer: -316.5029591688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/85696 and 55\/10816?\nAnswer: 1114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4, 4, 222, 3 in descending order.\nAnswer: 222, 5, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 - 8 = 0. Suppose 2*y = -t + 4 + q, 2*y + 4 = 2*t. Suppose 220 = 5*g + t*p, 5*g = 4*p + 345 - 90. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3644204.81 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3\/5 + 5403*f**2\/5 + 6257424*f\/5 - 12536436\/5 = 0.\nAnswer: -803, 2, 2602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y**2. Let g(d) = -1191*d. Determine f(g(n)).\nAnswer: 25532658*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2517\nAnswer: -251.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*i + 46 = 0, 20*i + 40 = 4*v + 16*i. Solve 0 = 3*y - 0*y - 5*h + 10, v*y = h - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9327, -9305, -9285, -9267?\n\"Answer: -w**2 + 25*w - 9351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2088 and -169\/114492.\nAnswer: 686952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1, 2, -43, 8 in descending order.\nAnswer: 8, 2, -1, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24759073*g**2 + 148240488 with respect to g.\nAnswer: -49518146*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/315 and 43\/16387960?\nAnswer: 1032441480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 19\/3 (b) -1\/825 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q*q\/q**(-4\/5)*q)**25 assuming q is positive.\nAnswer: q**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 25*i. Let g(o) = 2*o**2 + 4*o + 2. Let d(b) = -2*b**2 - 6*b - 3. Let v(f) = 2*d(f) + 3*g(f). Determine p(v(y)).\nAnswer: -8*y**4 - 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -400, -818, -1382, -2092, -2948, -3950?\nAnswer: -5098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0568964041598 less than -1?\nAnswer: -1.0568964041598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18628, -37016, -55158, -73042, -90656, -107988?\nAnswer: -125026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -648195 (base 11) to base 12.\nAnswer: -41b47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06673 - -0.03396. What is j rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539072 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80.9 - 330.1. Let k = -411.000201 - v. Round k to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pipiipiiiiiipp?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((843\/843)\/((-55)\/(-1)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2. Let s(n) = -140*n + 8. Let k(i) = 420*i - 21. Let l(y) = 3*k(y) + 8*s(y). Determine b(l(z)).\nAnswer: -19600*z**2 - 280*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 9*r = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:59 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 0.03?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 844819*2.\nAnswer: 1689638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -347183286 plus -4?\nAnswer: -347183290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/9 + 2\/(-3). Suppose -4*s + p = -2*s. Suppose o = -o + 4. Put s, 4, o in increasing order.\nAnswer: o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8940 + 9072 = -9*c + 3*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 531689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41007334273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2625 = 32*p - 27*p. Suppose 4*u - 5*o - 3492 = 0, 0*u - u + 876 = -2*o. Suppose 3*v - p = -3*k, -2*k - u = -4*v - 144. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 3*p**2 - 2. Let t be z(3). Suppose -5*j - 22*q = -25*q - 1021, 4*j = 5*q + 822. Let f = j - t. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = -o. Suppose 3*k - 6*k + 57 = o. Let m = -14 + k. Solve -2*q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*s + 5*f, 16*f + 7 = -s + 19*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 184.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1523 - 341. What is the remainder when x is divided by 591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/48 + 5\/16. Let z = 31\/6 - s. Find the common denominator of z and (-1 - -2)\/((-440)\/940).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 12}. Give prob of sequence ff.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 0.226089.\nAnswer: -10.226089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*60\/2400)\/((-2)\/700*-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 636095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094, -1006, -912, -812, -706?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3)**(2\/15))**(-13) assuming b is positive.\nAnswer: b**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-860)\/24 - -18 - (-3)\/(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 47*q**3 - 126*q**2 - 204717*q?\nAnswer: -24*q**2 - 282*q - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -10. Let u be (3 - (v - -3)) + -1. Which is smaller: 2\/11 or u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 24*d - 76. What is the tens digit of a(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxi when three letters picked without replacement from {m: 1, g: 4, x: 4, i: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 324 = 39 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74208, -71337, -68466, -65595, -62724, -59853?\n\"Answer: 2871*k - 77079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2913, -2059, -597, 1503, 4271, 7737, 11931, 16883?\n\"Answer: 5*w**3 + 274*w**2 - 3*w - 3189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3136394, 6 in descending order.\nAnswer: 3136394, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -9*h - l - 6, 42 = -2*h + 4*l. Let i(a) = 116*a**2 + 7*a + 38. Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j = 80*j + 576. Calculate the smallest common multiple of j and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 73*c**2 + 2. Let b(y) = 267*y. Calculate p(b(j)).\nAnswer: 5204097*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/803 and 20\/401.\nAnswer: 322003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 987, 984, 973, 948, 903, 832, 729?\n\"Answer: -u**3 + 2*u**2 - 2*u + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/23)\/j)\/j)\/(j*(j*j**(-19)*j)\/j*j)*j**(-16)*j*j\/(j\/((((j\/(j**(-9\/4)\/j*j))\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-61\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 8*x + 5. Suppose -5*f - f - 48 = 0. Let g be v(f). What is the tens digit of (-344)\/(-10) - 2\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v)*(-3*v - v + 6*v)*(-141 - 3*v**3 + 141).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 14*p**3 + 2 + 27*p**3 to h*p**3 + d + g*p + y*p**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166, 88, -20, -140, -254, -344?\n\"Answer: 3*p**3 - 33*p**2 + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a factor of 23870037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -73.6. Let h = s + 32.9. What is the closest to 2\/3 in 0.5, -2, 0.3, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.83, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 - 7*r**5\/30 - r**3\/3 + 40*r**2 - 2*r. Determine u(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -27790?\nAnswer: -1\/13895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*i**3 + 303*i**2 - 15*i.\nAnswer: -3*i*(i - 5)*(20*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 8}. What is prob of picking 1 g and 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 3. Suppose 77*x - 49 = 70*x. Give z(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -272716523?\nAnswer: -272716522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2106*i - 86. Is 10 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(((g*g\/g**0*g)\/g)\/g)))\/g**(-2\/11)*(g*g\/g**7*g)**(21\/2))**(2\/11) assuming g is positive.\nAnswer: g**(-876\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (217\/(-620))\/((-2)\/(-6)*-7).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 53\/(5830\/44)*(-1)\/(-2). Which is smaller: r or 565?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001184 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237992 divided by -6.\nAnswer: -206332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 4*p - 2*p)*(1 - p - 1)*(1 - 4 + 0) in the form d*p**2 + j + q*p and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413861497.\nAnswer: 7, 8446153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8345549cm?\nAnswer: 0.000008345549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5626009 = -367*l + 370*l, 2*j - 2250403 = -l. Round j to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -735*f**2 - 161*f + 8. Let c(a) = -735*a**2 - 162*a + 5. Let n(b) = 3*c(b) - 2*y(b). Find the second derivative of n(j) wrt j.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*u**4 - 2*u**3 + 5072*u**2 - 425249.\nAnswer: -48*u**3 - 6*u**2 + 10144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 18 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**3*n*z**3 - 2*g**3*n*z - 8*g**3*z - g**3 - 6*n*z**4 - 2*n*z wrt z.\nAnswer: 48*g**3*n*z - 72*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75 and -1.5424.\nAnswer: -76.5424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 5. Suppose -j + 2 = 2*g + 1, g = -5*j + 14. Let r(h) = 2*h - 6. Let y be r(j). Let n be d(y). Solve n*x - 20 = 0, -3*b + 10 = -5*b + 2*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -2\/101741?\nAnswer: -2\/101741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1561544281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 0, 2*d - 3*d - 3630 = -2*d + z. Calculate the highest common divisor of d and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 98.06 and -210347.\nAnswer: -210248.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + (33 - (2 - -9 - 8)) + 11.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, 5 in decreasing order.\nAnswer: 28, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 90340*d**2 - 2081905*d - 26051040 = 0.\nAnswer: -18091, -9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + p. Let d be l(1). Let w be (-289)\/d + 3\/(-9). Suppose -u = -5*u + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**2*r**3 - 295*q**2*r**2 - 4*q**2*r - 164*q**2 + 244*q*r**2 + 2*q*r - 2*q - 319*r**3 - 4*r**2 wrt q?\nAnswer: 4*r**3 - 590*r**2 - 8*r - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8501*t**2 - 3*t + 2. Let m be s(2). Let u be 0 + 1 - 6\/(-3). Suppose u*d = -d + m. What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/120 + l**5\/60 + l**4\/24 + 2*l**3\/3 - 3*l**2. List the prime factors of k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 17 (b) -38 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 + 10 - 676)*(0*y**2 - y**2 + 7*y**2).\nAnswer: -2004*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*o - 13990 = 1571*o - 50660 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.4. Let v = -2.1 + -1.9. Which is the closest to v? (a) 5 (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -154. Let p = -49 - t. Let v = 3 + -6. Sort p, -1, v in descending order.\nAnswer: p, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:36 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + q + 5. Let z be o(0). Suppose -z*j - 139 = 326. Let x be (0 - j)\/(-3)*-1. Solve p = -5*g + 8 - x, -p = 2*g + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 1206 + 95 = 0. Let m = 103 - z. Solve -2*a - 7 = -w - m, -a - 2*w - 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 950000*a**3\/3 + 1. Suppose 0 = 9*w - 11*w + 2. Let s be c(w). What is s rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -638*l - 330. What is the remainder when m(-1) is divided by 73?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (32 + -25 + 1 + 8 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 57. Suppose -32 + k = -6*b. Suppose -2*r = -a - 208, b*r - a = 5*r - 101. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.292 + 34.\nAnswer: 33.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 0.5, -4\/7 in decreasing order.\nAnswer: 0.5, -4\/7, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17388 and 828.\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)\/y**(-11) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (54 - (-25 - -58)) + -36\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - 105\/33. Let l = -31476\/5 - -6275. Let t = l + 20. Which is the second smallest value? (a) t (b) 0.4 (c) k (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**23*m*m\/(m*m**25\/m)*m assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**3*x**2 + 23821490*v**3 - v**2*x**2 - v**2*x + 3*v*x**2 - 1223*v*x - 42*x wrt v.\nAnswer: -6*x**2 + 142928940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4396 - -4496. Solve -13*f - g = -63*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3. Let v(p) be the second derivative of p**4\/12 - 2*p**2 - 3*p. Let j be v(0). What is t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189414763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -4, -19, -50, -103?\n\"Answer: -k**3 + k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -24643747271429?\nAnswer: 24643747271428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + -1*((-1*sqrt(605) + -1)**2 + sqrt(605) + (sqrt(605) - ((sqrt(605) + (sqrt(605) - (sqrt(605) + 0)) + sqrt(605))**2 + -1))) + -2 + -2.\nAnswer: -44*sqrt(5) + 1813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3 - 3*x + 16*x**2 + 4*x - 15*x**2 + x. Let n be z(-3). Suppose 4*m + 4 = n, -2*w - 5*m = 2*w + 1. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.30000067 - -13.3. Round k to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, x: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 8643.\nAnswer: 8643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 33210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190 - -194. Suppose -l*k + 1432 = -728. Is k a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (3 - (-1 - 2)). Let f = 157 + -313\/2. Which is the closest to f? (a) 2\/13 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 186. Put 0, j, -7, -5 in ascending order.\nAnswer: -7, -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 - -124. Let m = 8139.02 - 8155.019976. Let q = y + m. What is q rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 44*m**2 - m + 22. Let x be b(22). Solve x = 2*j - 5 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2232 - -2244. Solve 64*f = 61*f + m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022112122220 (base 3) to base 14\nAnswer: -142d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*b + 78*b + 1620 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56713881\/4 or -14178471?\nAnswer: -56713881\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101 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: Suppose 41*a - 1364 = 449 - 214. Let x be 7\/3 - (-1)\/(-3). Suppose s - 6*s - 176 = -3*g, 5*s = -x*g + 84. Calculate the greatest common factor of a and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4230 at least -4228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317134 is divided by 126.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 241919988 = 5*z. Suppose -5*q - 58059012 = -3*r + 62900944, -3*q = 2*r - z. Let f be 2\/6 + 4\/(96\/r). Round f to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304\/9 - -98\/3. Calculate the common denominator of (-2 - 8) + 4 + 4522\/708 and u.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411565296?\nAnswer: 2, 3, 8574277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(1\/65)*c*c**(-2\/17)*c*c**(-4)*(((c\/(c\/c**(-1\/5)*c))\/c)\/c*c)**13\/((c\/c**(1\/2))\/(c**(-6)\/c)) assuming c is positive.\nAnswer: c**(-84529\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:57 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 31378*9\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26 - 23)*(-4 + 3). Which is the biggest value? (a) y (b) 2\/5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329405.\nAnswer: 3, 5, 7, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*(-2)\/((-28)\/(-3)). Which is the smallest value? (a) x (b) -2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-4)*r)*r*r**6*r*r**(2\/13)\/r*(r\/(r\/(r**(2\/19)*r*r)))\/r assuming r is positive.\nAnswer: r**(3028\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 1. Let d be s(1). Let b be (d - 1)*(6 + (-2 - 4)). Suppose 4*y - 10240 + 3068 = b. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776209?\nAnswer: 1776209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-20) - (-1052)\/20. What is the common denominator of 4\/((-2)\/2 - -7) and (-4)\/o*-2 + 1285\/3900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -371, -5, 18, 151 in descending order.\nAnswer: 151, 133, 18, -5, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + 3\/2. Suppose 0 = h*v - 251 - 13. Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2061*k - 2742*k - 1518*k - 407*k to b + v*k and give v.\nAnswer: -6728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 5)*(20*h - 177 + 177) - 8*h - 11*h + 9*h)*(2 - 3 - 1).\nAnswer: 100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486 - 50*c - 486 to y*c + r and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 1. Let g be y(3). Let r = -3 - g. Let v(w) = -w + 11. Let l be v(9). Solve -2 - 26 = -r*k + q, -q = k - l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -40.49. What is j rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102157274 to 5 decimal places.\nAnswer: -0.10216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 8. Let s = d - -3. Let m be (2*s)\/(3 - 5). Sort m, -4, 3 in increasing order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67957178?\nAnswer: 2, 33978589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 35. Is (-6)\/3*d + 131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c75 (base 16) to base 4.\nAnswer: 1301311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5314 divide 782635099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 - 498. Let k be -1*(0 - 3)*r\/(-9). Which is the nearest to 1? (a) -1 (b) -0.1 (c) 2\/3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 31*y**7\/105 + 23*y**4\/8 - 20*y**2. What is the second derivative of d(r) wrt r?\nAnswer: 744*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 - 17*y**4\/24 + 17*y**3\/3 + 28*y**2 - 72. Determine m(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -33*f + 195. Determine t(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2937\/19 or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 5714.\nAnswer: 45712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000797557 rounded to seven decimal places?\nAnswer: 0.0000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.5 * -3.7.\nAnswer: 61.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 + 14. Let k(h) be the third derivative of -h**5\/20 - 5*h**3\/6 - 673*h**2. Determine 11*k(i) + 4*t(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2381 + -222. List the prime factors of b.\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-2))\/(-18)*(-29)\/(-4) and 95\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(2*4\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3730050 and 1350?\nAnswer: 3730050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101001111000110001000 (base 2) to base 5\nAnswer: 322410202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.029279 rounded to zero decimal places?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -128713.\nAnswer: -4\/128713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 188*t**2 - 2*t + 1. Let k be z(1). Suppose -3*p - 4*i + 0 = -196, 5*i = 3*p - k. Let u = -46 + p. 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: Simplify 2 + (-5*(sqrt(1700) + sqrt(1700) + sqrt(1700)*-3) + sqrt(1700) + -4*(sqrt(1700) - (sqrt(1700) + 1)))**2 + 3.\nAnswer: 480*sqrt(17) + 61221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, 17, 12 in increasing order.\nAnswer: -4, 2, 3, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180385*y**3 + 347586*y**2 wrt y.\nAnswer: -1082310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/26)\/((-2)\/(-4)). Let f = -56\/167 - -5357\/6513. Let w = f + m. Sort -4, w, 2 in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from {w: 5, c: 2, t: 4, o: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 23.819125\nAnswer: 23.749125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.06 - -0.14. Let n = -3 + t. Which is the biggest value? (a) n (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4 + 0*m**2 - m**3 + 0*m - 1\/4*m**5 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.949 + -0.051. Sort t, -3, -4 in decreasing order.\nAnswer: -3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3\/5, -6396, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 760*v - 4854*v - 2041*v - 2 in the form l + t*v and give t.\nAnswer: -7655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 144862.\nAnswer: -1\/144862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55640 and 9844.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(81760\/(-96))*3*2\/(-9).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - 1. Let r(x) = 2*x**2 + 8*x**3 + 4*x + 2 - 4*x**3 - 7*x**3. Let u(y) = 2*m(y) + r(y). What is the second derivative of u(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-32)\/12)\/(2\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 2*o + o + 6*o + 410 = 0, -23*o + 21*o = 14*g + 284 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 4*r + 527, 408 = -3*r + 5*c. Let o = r - -257\/2. Sort o, 2, -2\/5 in descending order.\nAnswer: 2, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. What is the smallest common multiple of (0 - -2) + z + 4 and (-378)\/441 - 1368\/(-126)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9\/4, 6\/7, 6, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + a - 2*a = 40, -4*n = -2*a + 32. Let z = n + 8. Solve z = -s + 1 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 0.88.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 10 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 3*t**4 + 3*t**4 + (-3*t**4 - 2*t**4 + 9*t**4)*(-3 + 3 + t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130990.\nAnswer: 2, 5, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40 and -724.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*l = -12 + 1, 3*v = -l + 32. Let t(f) = f**2 - 8*f + 11. Let y be t(v). Suppose 5*s = y, -3*s + s + 80 = 3*c. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12017910.\nAnswer: 2, 3, 5, 400597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k = -6*j + 58*k - 7 + 33, 5*k = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*2\/64)\/(7\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfvfnyntqyyyvy. Give prob of sequence nfn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 12004044?\nAnswer: 12004052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (-4 - -1) + 4 + (-1402 - -1344).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -506 and 0.5?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1129.2 and -4.\nAnswer: 4516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -297*b**2 + 15*b + 4664. Let d(o) = -891*o**2 + 46*o + 14019. Let n(j) = 5*d(j) - 16*z(j). What is the derivative of n(i) wrt i?\nAnswer: 594*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 12. Suppose x = 0, 1 = l*u - x - 3. Sort 4, u, -2 in descending order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5894403 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - i + 36, 4*p = 3*p - i + 12. Let j be (p\/3)\/4*9. Solve j + 1 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36821 - -36823. Let b = 59 + -115\/2. Sort x, b, -3, -4.\nAnswer: -4, -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.019 * 0.04.\nAnswer: 4.20076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 8, -k - 4*f + 5*f = 0. What is the common denominator of ((-1)\/(-18))\/((-1)\/14) and (16\/90)\/k*80\/6?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.1 - 3.1. Let x = 14 - d. Let g = -3.000096 + x. Round g to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549470088 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733702.3 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2. Let f(u) be the third derivative of -u**2 + 0 + 1\/24*u**4 + 0*u + 0*u**3. Give f(v(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109318894 to the power of 1\/3, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 14 + -4 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153307519 is divided by 1233?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/208)\/(10*18\/(-2160))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1008 divided by 112\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 139, 7\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/15)\/((-2)\/7*(-805)\/(-1150)*1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5939278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39506103 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-313 + 1274 + 207)*(-3*b**2 - b**2 + 3*b**2).\nAnswer: -1168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-24) - -19*(-250)\/1425?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -26)*(-2)\/(-3). Suppose -z = -3*p - 4 + x, -p - z = 0. Let d be (-162)\/(-8) + p\/(-16). Solve 6*j - 3*j = -5*s - 25, j = -4*s - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:48 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1511, 4, -2, -9, 0, -4 in descending order.\nAnswer: 1511, 4, 0, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m*u**4 - 877*m*u**3 - 124*m + 30*u + 3 wrt u?\nAnswer: -36*m*u**2 - 5262*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 573906\/59 - 9727. Find the common denominator of z and 77\/28 - 4 - (-24 + 0).\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/6*9\/(-6). Suppose 1859 = i*r - 1032. Suppose 2*k + 7467 + r = 0. Round k to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/20 in -4, -1\/5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 271037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:00 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 24*a - 69. Determine w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.5926371 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (5 - -44) - (1 - 2). Let n = -7 - -12. Suppose 8 = -n*l + p. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, l: 4, c: 5, j: 3}. Give prob of sequence ljuc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 23654*n - 37 = h + 23657*n, -3*h - 3*n = 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19830382.6 to the nearest ten thousand.\nAnswer: 19830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/156 and -59\/36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 37 = 5*w - 8*y, -3*w = 5*y. Solve -w*n + 5*l = -20, n - 2*l - 4 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -3 - ((-176)\/(-132))\/(2\/(-1425))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047473713905 less than -0.5?\nAnswer: -0.547473713905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30176657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3 + 19*f**2\/2 + 9*f. Differentiate k(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.3005986 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -18 + (1 - (2 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5112 - 20?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 14\/29 (b) -232\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 11 - 43*w**2 + 23 as j*w + u*w**2 + x and give u.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/17 and -43\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -44. Suppose -3*l = -5*a + 8*a - 108, 3*l - 103 = -z*a. Suppose 0 = 5*o - 4*m - 68, -4*o - l = -2*m - 89. Put -4, o, -5, 2 in descending order.\nAnswer: o, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5809 + 31?\nAnswer: -5778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 0*r)*(-8 - 8 - 12)*(1 + 5 - 4) - 2*r - r + 2*r.\nAnswer: 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -478000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49063 divided by -7?\nAnswer: -7009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 369299609998*g - 369299609998*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m + 1083. Calculate the remainder when s(75) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44152, 171067, 382594, 678733, 1059484, 1524847, 2074822?\nAnswer: 2709409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 30*q - 43. Suppose 5*b + n = 81, 2*b - 4*n - 1 = 27. What is the units digit of t(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51160 and 1452?\nAnswer: 18571080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 2. Let q = -9 - -5. Let p be (131 + -1)*(-2)\/q. What is the greatest common divisor of p and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85750 divided by 5?\nAnswer: 17150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254241044 to the nearest integer?\nAnswer: 15945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(0 - 3\/(-9)). Let a be (-2 - -2) + (5 - t). What is the third derivative of n**2 - 3*n**a + 3*n**5 - 2*n**6 - 3*n**5 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 602147?\nAnswer: 2408588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -91, 13, 3, -3 in ascending order.\nAnswer: -91, -3, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7217.691mm in centimeters?\nAnswer: 721.7691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -108, -116, -120, -120, -116, -108?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3 - -4) + (-8 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2037*f**5\/4 + 6067*f**4\/4 + 1971*f**3\/2 - 22*f**2 = 0. What is f?\nAnswer: -2, -1, 0, 44\/2037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3886 and 80467.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/7 (c) 2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397544 divided by 1736.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2881, -11766, -26659, -47560?\n\"Answer: -3004*p**2 + 127*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-22)*106\/2 - -5. Which is the biggest value? (a) 2\/201 (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 14*s = 4*s. Let p = 7 - -1. Suppose 4*g - 14 = -2*j + p, s = -4*j - g + 30. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. What is the third derivative of 8*y**2 - 4*y**2 - j*y**6 + 3*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*i = 6, -t + 9*i + 1 = 7*i. Let k(l) = 3*l + 2. Let w(b) = 2*b. Let x(m) = t*w(m) - k(m). Let z(h) = 16*h + 5. Calculate -7*x(u) - 2*z(u).\nAnswer: 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 + -132. Solve 0 = -2*d + 3*z - 6 - 10, 2*z = 5*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16824362?\nAnswer: 2, 23, 365747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5658939*h**3 - 2*h**2 - 95035*h - 1 wrt h.\nAnswer: -33953634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 39\/(-3))\/(-1). Let d = x + 17. Let c = d - -12. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-3))\/((-10)\/465). Let c = m + -43. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 52, 0, -8, 14 in decreasing order.\nAnswer: 52, 14, 5, 4, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154713340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1114\/3 or -372?\nAnswer: -1114\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61\/3 + 1027\/57. Let t = s + 1271\/114. Calculate the common denominator of t and 19\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 106*p**2 + 37*p - 37. What is u(35)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (79\/(-790) - 588\/(-30))*8\/6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -14*t + 168. Let r = t - -29. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1123 + 438 = 0. Let q = t - 80. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41654 - 6?\nAnswer: -41662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Suppose 10 = -c - j*n, n - 6 = c + 3*c. Let v be c\/(-10) - (-38)\/10. Solve 1 = -v*h - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-19 - -5) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2 - -2) - (-7 - -28 - 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 809244 and 4956?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7056) - (sqrt(7056) - (sqrt(7056) - -1*sqrt(7056))) - sqrt(7056))*-1 + sqrt(7056))\/(sqrt(42)\/(sqrt(24)\/sqrt(4)) - 2*sqrt(21)\/sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4554777 and 133\/30?\nAnswer: 45547770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 3, -1 in descending order.\nAnswer: 4, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 3*f**2 - 6*f - 5. Let u = 409 + -415. Let b(n) = -4*n**3 + 6*n**2 + 13*n + 11. Determine u*b(v) - 13*h(v).\nAnswer: -2*v**3 + 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2963, -4, 348 in ascending order.\nAnswer: -4, 348, 2963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1617 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53270733 - -4.07.\nAnswer: 53270737.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107227 + -4?\nAnswer: 107223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/12)\/(1\/(-48)). Let r = a + -331. Round r to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = -0*u - 2*k, 3*k = u - 7. Solve u*l = 2*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32) + (198\/456)\/(-3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/6 - 161*i**3\/6 + 1445*i**2\/2 + 167237*i\/6 + 81370\/3 = 0.\nAnswer: -20, -1, 79, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 + 3 + 166*o**3 + o**2 + 2*o**2 - 167*o**3. Calculate w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 5\/2*w**2 - 1 + 4\/3*w**3 - 1\/4*w**4 - 3*w. Suppose 21 = 5*s + 2*z, z + 4*z = -2*s. Give q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 greater than -365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from ppvpppvpvpvspipppps?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6730 (base 15) to base 11.\nAnswer: -15482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931 is divided by 209.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6 and 29\/466.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-2 + -5 + ((-1*sqrt(153) + sqrt(153))*1 + sqrt(153))\/(sqrt(441)*-2 + sqrt(441))).\nAnswer: 18*sqrt(17)\/7 + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 540300 rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -73363 (base 10) in base 13?\nAnswer: -27514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/396 and -45\/34.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {e: 11, o: 2}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.4266 - 10.4266. Let l = 221\/847 - -3\/121. What is the biggest value in l, -0.013, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 9. Let h be s(-7). Suppose 5*n + h = 96. Solve c - 8 = 3*o, -3*o - 4*c = o - n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let y = -4.87 - k. Let z = y - 0.03. Which is smaller: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722 (base 13) in base 14?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -944*k - 7. Let b(n) = 7*n - 1. Determine -3*b(v) + d(v).\nAnswer: -965*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 + 390*s**2. Let z(q) be the first derivative of 0*q - 1 - 5\/2*q**2. Determine m(z(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*r + 5*r + 165, -15 = -x - 3*r. Let n = x + -9. Suppose 1 = 2*u - n. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11881 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-970)\/(-190) - 5 - (-4360)\/(-1710).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -567*u**5\/20 - 455*u**3\/3 + 2*u - 44. Find the second derivative of o(c) wrt c.\nAnswer: -3402*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44\/3 - 175\/12. Let m(k) be the second derivative of -r*k**4 + 2*k + 0*k**3 + 0 + 1\/5*k**5 + 0*k**2. Find the third derivative of m(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*s**3 + 3*s**2 - s - 1 + 190*s**3 + 140*s**3 - 2*s - 6*s**2 as u*s + k*s**3 + w*s**2 + q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/96 - 25*a**3\/24 + 625*a**2\/16 - 2*a + 38. Suppose d(m) = 0. What is m?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1615*x**2. Let m(a) = 2265*a. Give m(w(i)).\nAnswer: 3657975*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/2, 3, 1\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308196 by 126.\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-28)\/(-14))\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -62\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 138608 - 6743. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111011110001000011011 (base 2) to base 9\nAnswer: 16463636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -40233, -2\/9, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/272 and -121\/10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by ((-190736)\/(-105))\/26 + (-4)\/(-30).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2209 + -6113\/2. Let t = v + 4218\/5. Find the common denominator of t and (-2)\/12*(-183)\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(10)\/sqrt(2)))\/(sqrt(28)\/(1*sqrt(7))) - -3*1*sqrt(98)*-2.\nAnswer: -41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 11974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 2 - 3*f**3 + f**3 + f**3 in the form h*f + l*f**3 + c + w*f**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, 129, 402, 773, 1236, 1785, 2414?\nAnswer: 3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19) + 2*sqrt(2736))**2.\nAnswer: -23750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401.183 months to millennia.\nAnswer: 0.11676525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-248))\/((-6800)\/10880)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 3*l + 4. Let i be h(5). Suppose 3*s + 5*f + 16 = i, -f = -5*s + 135. Calculate the remainder when 76 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3156 is divided by 523.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7 - 56 - 15*b + 20 - 22 - 11. Let f be h(-5). Let z(d) = 15*d**2 + 8*d + 13. Let g(p) = -7*p**2 - 4*p - 6. Determine f*g(j) + 6*z(j).\nAnswer: -j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:41 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 19*x**2 + 61*x - 74. Let w be g(-13). What is the greatest common factor of w and 2352?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-21 - -40) - -15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmxmmmmmmmmmmmmmmmmm.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34697)\/2 - (-8 - (-105)\/14). Let z = -8685 - u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 734 + -730.718. Let u = 0.012 - j. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805132 and 1458302.\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -665250527 rounded to the nearest 1000000?\nAnswer: -665000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2907 + 127917\/44. Let p = -2381\/132 + x. What is the common denominator of 20\/(-24)*123\/(-40)*1 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3041, 2717, 2177, 1421, 449?\n\"Answer: -108*m**2 + 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 110\/15*((-63)\/380)\/7. Let y = -1\/38 + x. Put 1\/2, y, 5, -3 in increasing order.\nAnswer: -3, y, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102*l - 364*l - 8*l**2 - 350*l - 5*l**2 - 388*l.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -57396 - (6 - 0 - 6 - 6). Round a to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 + 3*v**4 - 21*v - 4*v**3 - 20*v**2 + 9*v = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 73 - 7*d + 0*d + 26 + 11*d. What are the prime factors of b(0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-666)\/(-90). Which is the nearest to k? (a) 0.3 (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 1, h: 2, e: 4, s: 9, j: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -13. Let u = r - 42\/5. Put -2, -2\/7, u in descending order.\nAnswer: u, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*n + 44 = 0, 2*n + 0 = x - 4. Suppose 7 = 3*a - x. Let i(w) = w - 1. Let z be i(a). Solve -z*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 126*c**2 + c + 7. Calculate the remainder when 1466 is divided by a(1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61930 and -206.\nAnswer: -62136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -190172226 * -1\nAnswer: 190172226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 137. What is the remainder when o is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 5488697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1156302*i**5 - 52*i + 3982 wrt i.\nAnswer: 23126040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15878*c + 117572 + 70883 - 29675 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 39, 63, 4, -11, 5, -4 in descending order.\nAnswer: 63, 39, 5, 4, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15646*g**2 - g + 1. Let h be a(-3). Let t be h\/24*2\/5. Let n = t - -2369. Calculate the common denominator of 27\/10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*d - 754*d + 582*d.\nAnswer: -1092*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c. Suppose 3*z + 2*p + 4 = c, 0 = 2*z - p - 2 - 7. Let m be 11\/z - (-7)\/14. Is m less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 3834.\nAnswer: 107352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18265*c**3 + 12*c**2 - 133*c + 4.\nAnswer: 109590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 29*t - 77360000. Round t to the nearest one million.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -28, 5, -4.\nAnswer: -28, -4, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -2 (c) -58 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1728))\/((sqrt(8)\/sqrt(2) + sqrt(4))\/sqrt(2)))\/(sqrt(14)\/(sqrt(7)*3) - sqrt(12)\/sqrt(6)*1).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6639*a**2*w - 478005*a**2 + 7*a*w with respect to w.\nAnswer: -6639*a**2 + 7*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/((t*((t*t\/(t*(t**(-2)\/t)\/t))\/t)\/t*t)\/t))**(-27)*t**(1\/2)\/t**(-7))\/(t**(-7)*t**(8\/7)\/t)**6 assuming t is positive.\nAnswer: t**(681\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:58 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.739 and 11.27.\nAnswer: 7.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/11 + 104*v\/11 - 1352\/11 = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 22*a = -36. Let h(r) = -r**3 + 7*r**2 - 2*r - 9. Let x be h(a). Solve -g = g + 2*i - 20, -2*g - i = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -1*11*2. Suppose 2*r - w = 6*r. Is 136\/6 - (-4)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 0*y)*(-4*y**2 + 3*y + 5*y**2 + y**2) + (0*y - 3*y + y)*(2*y**2 - y**2 - 3*y**2) - 4*y**2 - y**3 + 4*y**2 + 5*y**3 + 4*y**3 - 3*y**3.\nAnswer: 5*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/96 and -29\/15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2789*j + 1398*j + 1393*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94250964 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:17 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17704\/16 + (-2)\/(-4). Suppose -150 = -3*w + x. Suppose w = -s + 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693.8552 litres to millilitres.\nAnswer: 693855.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 - 24 = 2*y, 2*o - 5*y = 21. Solve 6*d + 15 = -o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 23*j**2. Let i(u) = -19*u. Determine r(i(p)).\nAnswer: 8303*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -2*z + 49, -938*z = -2*x - 934*z - 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.3 - 67. Which is the second biggest value? (a) -4\/5 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (0 + -13))\/1. Let l = 52 - a. Calculate the remainder when l is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008516716 rounded to six decimal places?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 69*p**2 + 344*p - 81. Let g(j) = 17*j**2 + 86*j - 18. Give 18*g(h) - 4*u(h).\nAnswer: 30*h**2 + 172*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*t - 102*t + 606*t - 109*t - 162*t - 118*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 189, 201, 217?\n\"Answer: 2*g**2 + 2*g + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 1. Let i be a(0). Suppose -f + i = -3. Suppose 0 = 3*p - 2*y - 0*y - 61, 2*y = -f. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m)**(-38)*m**1\/(m**(-2\/13)\/m*m*m))\/((m\/((m\/m**(-2))\/m)*m\/m**(1\/3))\/((m\/(m*m**7))\/(m*((m**(-6)*m)\/m*m)\/m))) assuming m is positive.\nAnswer: m**(-843\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-2\/33)\/d*d*d*d)*d))\/d**1)**(-12\/5) assuming d is positive.\nAnswer: d**(-256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18))\/((646\/34)\/2660)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75437 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287601 divided by 1.\nAnswer: 1287601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8200.08km in millimeters?\nAnswer: 8200080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 21502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672375 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -405564*m. Let d(s) = -s. What is y(d(w))?\nAnswer: 405564*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - 215. What is the nearest to 2\/7 in -1\/2, l, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 4. Let x be h(-2). Let o = 2 + x. Let n = -1131 + 1144. Solve 3*z + o*i + 13 = i, 4*z = -3*i - n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*o - 22, 2*o = -2*n + 43 - 9. Calculate the least common multiple of 1900 and n.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/12 - s**3\/6 - 5*s - 5. Let g(x) be the first derivative of k(x). Find the second derivative of g(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(0 + 1 - 3)*(-23*h + 13*h + 21*h).\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 9*w - 6. What is c(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7447945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpwopamhoomapmm. Give prob of picking 1 a, 1 p, and 1 h.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14 - -26 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 742 = 2*a, -4*b - 1874 = -4*a - 414. What is the remainder when 1083 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3 - 3*j + 2 + 1 - 3. Let o = -25 + 20. Let d be (-2)\/((o + 3)\/2). Determine s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*15\/(-40)*20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 416, 4, -0.5, -2\/7?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 415344214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) -60 (c) -1236\/7 (d) 32 (e) 0 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213 + 315. Let g be (-12)\/(-10)*(-15)\/(-6). Suppose 0*f - 3*f - g*z + 162 = 0, -v = -2*f - 4*z. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -1) + (-3 + 0)*1. Let p = 41 + r. Let v = p + -18. Calculate the remainder when 37 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -88.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 6*z - 6. Let n be c(4). Suppose -n*x + 330 = 44. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - c**3 - 6*c + 8*c**4 - 10*c**4 + 59 - 61 in the form i*c + y*c**3 + s*c**4 + g + u*c**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -5 (b) -1 (c) -16508\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -10?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1, 9, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15562109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwwwwwwkwww. Give prob of sequence ww.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-20)*u*u**20 assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*l + 289*l - 98*l - 96*l + 88*l**2.\nAnswer: 88*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-5)\/q*q*q)\/q)\/q)**23 assuming q is positive.\nAnswer: q**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - 244491.674.\nAnswer: -244512.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(114\/27 - 4). Let l(z) = -13*z**2 + 35*z + 1. Let j(k) = -3*k**2 + 9*k. Let o(v) = a*j(v) + 2*l(v). What is the tens digit of o(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h - 619*h**2 + 92*h + 104*h + 107*h + 626*h**2 - 367*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 14*v - 2*h + 1180 = 0, 5*h + 1194 = 4*v. Calculate the remainder when v is divided by 101.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/494 and -97\/2166.\nAnswer: 28158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgnngnv. What is prob of sequence ng?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982, -2111, -3122, -3955, -4550?\nAnswer: -4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*(-35)\/10)\/((-2)\/4). Solve -19 = 3*x - o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 5. Let j(f) = -1459*f**2 + 1464*f**2 - 12*f + f + 11 + 30*f + 13*f. Let c be j(-6). Let q(d) = -d**3 + 1. Calculate c*i(g) + 5*q(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)\/v)**(3\/43))**(2\/49)*v**(1\/7)\/v*v**(-2\/11)*v*(v*v\/(v**(-2)\/v))\/v**3 assuming v is positive.\nAnswer: v**(45429\/23177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -246, -813, -1920, -3747, -6474?\n\"Answer: -30*q**3 + 3*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -303*u - 9. Let m(w) = -1590*w - 48. Let h(v) = 21*k(v) - 4*m(v). Let z(a) = a**2 - 151. What is h(z(j))?\nAnswer: -3*j**2 + 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/22 and 1 + (-1 - (-18)\/16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*39\/(3 + -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -103 - 36?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 - 11405*a**2 - 95819605*a - 106607704995 = 0?\nAnswer: -1879, 6039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22*h**2 - 3*h + 4. Let a be j(1). Let z(i) = -11 + 3*i - 12 + a. Let s(u) = -30*u. Calculate s(z(l)).\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2)\/sqrt(7) + sqrt(13) + 1)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024787 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10*(-180)\/(-1512))\/(1\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 8*l + 5. Let t = 254 + -225. Suppose g - t = 5*g + c, g = 4*c - 3. Calculate b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + x)*(4*x**2 + x**2 + 2*x**2).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39.2507l?\nAnswer: 39250.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5 - 13*k**4 + 122*k**3 + 80 + 39*k**4 + k**5 - 176*k + 254*k**2 + 456*k - 44*k = 0.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100956342 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*m**2 - 2*m**3 - 212*m**2 - 224*m**2.\nAnswer: -2*m**3 - 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/27)*(q*q**0)\/q)\/(q**(-13\/2)\/q**(1\/10)) assuming q is positive.\nAnswer: q**(1036\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*5*((-1*(-1 + sqrt(153))*-2)**2 - (-5*(sqrt(153) + -1) + sqrt(153) + -3*(sqrt(153) - (-1 + sqrt(153) + sqrt(153) + sqrt(153))) + sqrt(153))).\nAnswer: -990*sqrt(17) + 18421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (-14 + (121 - -3)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + (1 + (-8)\/6)*-3. What is the highest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -736585281\nAnswer: 736585285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65081 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1005345 - 3?\nAnswer: 1005342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose -3*h + 7*h = 3*m + 3, -5*m + 5*h = 5. Let g = 19 - 18.7. What is the closest to m in 4, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12291 and 19050?\nAnswer: 234143550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10.5. Let g = 41 - 25. Let n = g + -16.07. What is the biggest value in 1\/3, m, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*a + 135*a + 79*a + 32*a.\nAnswer: 158*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -u - 62, -3*i + 4*u + 72 + 16 = 0. Let q = -63\/2 + i. Let r be (2\/4)\/((-15)\/(-6)). What is the second smallest value in -5, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g**2 - 119*g - 667. Give k(-6).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3384 greater than -3407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 21*c + 25. What is the hundreds digit of t(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -966 + 984. Calculate the smallest common multiple of y and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229759630.\nAnswer: 2, 5, 191, 120293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*z = -4026*z + 82236 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and 303328.\nAnswer: 38219328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2191403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153))**2 + sqrt(272) + 2.\nAnswer: 4*sqrt(17) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132173006 - -3?\nAnswer: 132173011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let z = 3 - i. Let x(g) = -5*g + 2. Let b(j) = -4*j + 3. Let t(m) = 4*b(m) - 3*x(m). Determine t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 425\/4, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5660, 4920, 4178, 3434, 2688, 1940, 1190?\n\"Answer: -p**2 - 737*p + 6398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-17980)\/(-24))*10\/6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4340 is divided by 2146.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.063339 years to centuries.\nAnswer: 0.00063339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 13*l**2 + 114*l + 3. Let u be j(-19). Suppose -d + 46 = -u*a, 9*d - 4*a - 208 = 4*d. Calculate the remainder when 519 is divided by d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:31 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2888*t + 16424*t - 6760*t + 4722*t + 12203*t.\nAnswer: 29477*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2183 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 4. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -78. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from sssqqksqqqqqvssvqsss?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -g - 166 + 337, -u + 5*g = -153. Calculate the remainder when 481 is divided by u.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*u**2 - 9\/5 + 6\/5*u.\nAnswer: 3*(u - 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**3 - x**2 - x. Let d be f(-1). Let b be 35\/(-14)*8\/d. Let g = 0.1 + 0.4. Sort b, -2, g in increasing order.\nAnswer: -2, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14699*q. Let t(u) = -u + 14. Determine f(t(d)).\nAnswer: 14699*d - 205786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.3, 169294 in descending order.\nAnswer: 169294, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 408979074*k**3 + k + 188646256.\nAnswer: 1226937222*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*u + 5*n = 32, 5*n = u - 24. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163\/5 + -32. Put 1.1, 6, 1\/4, h in decreasing order.\nAnswer: 6, 1.1, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*m - 2 = 0, 11*m = 7*m - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/109 and -25\/2.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 = 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.821399 meters in millimeters?\nAnswer: 6821.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/557 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 551432 and 25648?\nAnswer: 1102864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 63022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdd when four letters picked without replacement from xdxddxxdddddddxddd?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l = -57*l + 147. Let y = l + 85. Suppose 13*h - y = 7*h. Calculate the remainder when 11 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/(-11)*-1. Let u = 74.068 - 74. Let g = -0.168 + u. What is the third smallest value in g, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003592 to the power of 1\/2, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + i**3 - i**3 + (-3*i**2 + 0*i + 0*i)*(i - 2 + 2) - 4*i**3 + i**2 - i**2 - 3*i**3 + 3*i**3 + 2*i**3 + i**2.\nAnswer: -7*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = 2. Let g(z) be the first derivative of -4*z**3\/3 + z**2 + z - 3. Let y be g(d). Sort 3, 4, y in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 1. Suppose 0 = 3*p - 9 - 3. Suppose 4*g + p = -0. What is the remainder when 7 is divided by n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45833?\nAnswer: 45833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12066\/55 + (-2)\/11. Let v = -220 + n. Which is the third biggest value? (a) 1\/4 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -27 + (11 - (16 - (-1 - 1)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from jtgtgpgppjgpjj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 46?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950*j + 39689 - 12389 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5817*u**2 - 4*u + 3*u + 159 + 266 + 5816*u**2.\nAnswer: -u**2 - u + 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-7 - -13) + (12 - 18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*b - b - 92*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-76))\/(-7)*(-399)\/84?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 37 + 42 = -4*l, -3*m + 4*l - 15 = 0. Put 9, 5, m in decreasing order.\nAnswer: 9, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957257 is divided by 591369.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001011000010 + 0?\nAnswer: -1011001011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*a - 3864 = 0, 4*d + 7*a = 5*a + 3852. What is the highest common divisor of 155 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**2)*(3 + 1 - 3) - 13*h**2 + 36*h - 36*h - h**2 + 2*h**2 + 0*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169*a*o**2 - 3*a*o*s**3 + a*s - 993*o**2*s**2 wrt s?\nAnswer: -9*a*o*s**2 + a - 1986*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + 1\/(-5). Let n = 0.2 - 0.1. Which is the nearest to 0.1? (a) n (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + (-290)\/42)*(-7)\/(-14). Sort 2, 0.3, y in decreasing order.\nAnswer: 2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 572*x - 577*x + 15, -5*r = -11*x + 63 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1287\/66)\/39*(-11)\/(-4).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from bzzxxznzbx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) 2 (c) 0.2 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-504)\/408)\/(27\/(-12)) and -27\/13?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3930799*f - 26011234 wrt f?\nAnswer: 3930799","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is the highest common factor of 7852 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + -8. Let s be (-2)\/8 + 21\/p. Is -2*(-6)\/4 + 137 + s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1518 - 249 + 3442 + 4132*z**4 + 1734 wrt z?\nAnswer: 16528*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9964 - -456?\nAnswer: 10420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/4, -3, -1\/2, 88334\/5 in increasing order.\nAnswer: -3, -1\/2, -1\/4, 2\/5, 88334\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30530, -30499, -30468, -30437, -30406, -30375?\n\"Answer: 31*h - 30561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -70 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -1. Let i be 4*(-2 - r\/4). Let d(o) = -2*o + 2. Let m be d(i). Calculate the highest common factor of m and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -11 (b) 0.2 (c) 3 (d) 1\/89 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/27, 19, -53, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l**2 - 6*l + 7. Let b be x(1). Factor 23*k**3 + 12*k - b*k**3 - 24*k**2 - k**4 + 20*k - 16.\nAnswer: -(k - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 20. Let t(n) = 2*n**2 - n**2 + 3*n**2 - b*n**2. Let c(m) = 2*m. What is t(c(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22970044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 3 - 4*w**2 - 2 - 4*w**2 as m + i*w**2 + q*w and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2*o - 2. Let k(n) = -2*n**2 + 4*n - 3. Let s(u) = 7*h(u) - 4*k(u). Let p be ((-14)\/35)\/((-1)\/(-5)). Is s(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115 - 12)\/(-65*11\/55 + (3 - -11)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 17*s + 1042 = 14*s, -1042 = -2*i + 5*s. List the prime factors of i.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1404 = -3*r - 2*l, -1475 = -4*r - 2*l + 395. Let w = 683 - r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 1. Let z = -0.5035 + n. What is z rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1469 - 11154*j**2 - 11158*j - 908 + 2*j**4 - 1162 - 3714*j**3 - 181.\nAnswer: 2*(j - 1860)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41579 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005057344 to seven dps.\nAnswer: -0.0000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 2\/125 (b) 0.4 (c) 7002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96061353 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -103. Solve 3*r + 9 = q + 2*q, r = -w*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*o + 24000000, 5*o + 4315442 + 25684558 = -2*w. What is o rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 56 - 9 = -2*o, 5*o - 2*n - 172 = 0. Let g be -8*(-4 + 14\/4). Put -1, g, o in descending order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 19 - 19 + 16*r to x + v*r and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1754398, -1754456, -1754552, -1754686, -1754858?\n\"Answer: -19*r**2 - r - 1754378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -114 - (-177 + 297).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075006056.\nAnswer: 2, 337, 769661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -117170 divided by -23434\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b - 2*b + b**4 - 7*b wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -18.24?\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r - 7*r + 2*r to the form k*r + h and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9377 - 4*j + 4661 + 6*j + 4652.\nAnswer: 2*j - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.01 - 20.01. Let y = 0 + -2. What is the nearest to -0.01 in y, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -1. Let b = -39320 - -39322. Sort b, 0, u, -3.\nAnswer: u, -3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4726 + 2502. Let w = 5111 - b. Is -4*3\/((-36)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076976823 rounded to 5 dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((91\/42 - 2) + 10\/12)*28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 10) in base 3?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 17 = u - j, 3*u + 372 - 348 = -3*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/472 and 137\/9336.\nAnswer: 550824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*k**2 + 199 + 0*k + 361*k**2 - 2*k**4 + 2*k**4 - 10*k**5 - k wrt k.\nAnswer: -200*k**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v - 13732 = -15936 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1230 + 4*s + 2453 - 1223.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144196 and 5546?\nAnswer: 144196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23214, -46426, -69638, -92850?\nAnswer: -116062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-70)\/45))\/(22\/44)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13980 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n + 4*n - 1 + n**2 + n + 0 - 23*n. Give o(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 22. Suppose r + 158 = 5*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/6)\/s*s*s\/(s\/(s*(s\/s**(-1\/15))\/s)) assuming s is positive.\nAnswer: s**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(-6 + 160\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936045 is divided by 399.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -7801, -0.2, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(0*l**5 + 3*l**5 + l**5) - 5*l**5 + l**5 - 16*l**5.\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -540, -2308, -5254, -9378, -14680, -21160, -28818?\n\"Answer: -589*l**2 - l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25833 + -25806. Solve m - 27 = -37*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 211*y**6\/3 - 27*y**2\/2 - 2*y + 98. What is the second derivative of n(a) wrt a?\nAnswer: 8440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93296.23 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14357 - 14380.876. Let r = p - -24. What is r rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 13*k**4 - 32*k**3 - 20*k**2 = 0.\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2139 is divided by 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*o + 7*d + 508, -2*d = -o - 127. Let s = o - -128. Put 5, -2, -3, s in decreasing order.\nAnswer: 5, s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 + 8*j + 0*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-196)\/(-24))*(-8)\/2*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by 2\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -18)\/(-20)*(-9)\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 - p. Let m = -79 - -73. Let v(i) = -i**3 - 6*i**2 - 6*i. What is m*s(j) + v(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/180 and -137\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/9 - 10\/(-15). Suppose v*t - 9 = 5*r, -2*r - 1 - 1 = 0. Let f(m) = -5*m**2 + 2*m - 1. Calculate f(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j = -33*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 4*j - 5*j, 6 = 2*v - 2*j. Solve f = -v*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 37 = -2*z + 333, -o = -4*z + 619. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1\/64, -5, -41, 0.5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 380\/90 + 2\/(-9). Suppose -x - o = -5*x + 629, m*x - 4*o - 632 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/17))\/o)\/((o*o*o*o**(1\/4))\/o))\/(o**(1\/10)*o\/(o\/(o\/(o\/o**(1\/5))))) assuming o is positive.\nAnswer: o**(-827\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w. Suppose w = -0*z + z + 23. Let r = z + 32. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 39523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Solve q*k + 6 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 1 - 10*t + 4*t**2 + 12*t)*(-t + 2*t + t).\nAnswer: 4*t**3 + 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110201211122222 (base 3) to base 6.\nAnswer: 401020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**3 - 127*s**3 + 7354 - 14723 + 7370.\nAnswer: -165*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4 + 3)*(-8 + (-40204)\/(-5035))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -1.8. Let q be (-17 + 14)*4\/6. Let m = 1.092 + -0.092. Which is the fourth biggest value? (a) h (b) 3\/10 (c) q (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - (43 + -38) - -52?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(-5 + 2*(sqrt(180) + 0 + 5)*4))**2.\nAnswer: 756000*sqrt(5) + 2867625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 40. Let c = -59 - -166. Let g = -9 + c. Calculate the remainder when g is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 38763 = -967*b - 211*b + 53329 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5222*p = 5224*p - 196, 2*p = -61*c - 0*p + 3103 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = 920*f - 715*f - 90 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. What is the remainder when (-70)\/t - 3*-1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 3800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 1224*v**7\/7 + v**3\/3 + 132*v - 413. Find the third derivative of j(x) wrt x.\nAnswer: 146880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 11*p**2 - 6*p + 24. What is z(7)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:45 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57.8 in -6, 65\/9, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21332?\nAnswer: 2, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.042 + 0.069. Let v = k - 22.311. Let c = 25 + v. What is c rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let a(i) = i. Suppose -4*q + 3 = z, 0 = -3*q - 2*z + 4*z + 16. What is q*a(l) + f(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + -10 + 14 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43524204 + -50?\nAnswer: -43524254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 553 + 545 - 1101 - f**2 - 74*f to h + y*f**2 + j*f and give j.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3\/(-5) + 54\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/36)\/((-30)\/(-9))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/9 - 396712*i\/3 + 1190138\/9 = 0. What is i?\nAnswer: -595069, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -12 - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 7*o**5\/10 + 11*o**4\/6 - 251*o**3\/3 + 105*o**2 + 747*o. Factor f(r).\nAnswer: 2*(r - 5)*(r + 7)*(7*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*g**4 - 847*g**4 - 267*g**4 + (2*g**3 - 3*g**3 - g**3)*(-2 + 2 - 4*g).\nAnswer: -1120*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3328566)\/(-28209))\/((-48)\/(-3)). Let l = -2\/9403 - q. Does -8 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.3 (c) 132 (d) -2\/7 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100010?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 minus 1781050.3708?\nAnswer: -1781110.3708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 + 11.26. Let t = f - 6. Let v = t + -5.0004. What is v rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 10*v + 13. Let n be s(-9). Let x(y) = y - 7 + 4*y - n*y. What are the prime factors of x(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*j = 0, l + j + 2 = 5*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - r**4 + r**4 + (r**5 - r**5 + r**5)*(1 - 3 + 0) + (-3923*r**5 + 353*r**5 - 1170*r**5)*(-5 + 3 + 0).\nAnswer: 9477*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -49*f**3 - 2*f**2 - 2*f + 1. Let n be i(-2). Suppose 0 = 5*s + 11 + 4, r + 3*s = n. Suppose -5*m - r + 158 = 0. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -295 <= -8593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 + 12*n + 7334. Let u(p) = 6*p**2 + 10*p + 7320. Determine -5*l(s) + 6*u(s).\nAnswer: s**2 + 7250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-5 - -1) - -42. Let v = j - 20. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 7 = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5 - 5 + (217*r + 56*r - 81*r)*(-2 - 2 + 3) + r - 3*r - 6*r.\nAnswer: -203*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n - 86. Let r be o(8). Differentiate 0*a**2 + 2*a + 45 + 11*a**r - a**2 wrt a.\nAnswer: 20*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(-1100)\/(-11). Let x = -48 - b. Suppose k - 5*w = 4*k - 33, 0 = 3*k + x*w - 33. What is the biggest value in 1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -221*4\/(-10) + 94\/(-235). What is the greatest common divisor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:52 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 54. Let o(w) = -w**3 + 9*w**2 + w + 5. Suppose -70*m + 287 = -203. Calculate the remainder when o(m) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.212 + -0.028. Let m = g + 0.04. Suppose 0*j = j - 4. Which is the smallest value? (a) m (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/24*1\/(-15)*-25*6 - 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**3 + 10*r**2 - 6*r. Let n(q) = -13*q**3 - 11*q**2 + 6*q. Let i(b) = -6*m(b) - 5*n(b). Factor i(c).\nAnswer: -c*(c - 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0 + 0*g - 5\/6*g**3 - 103*g**2 - 7\/24*g**4. Let c(x) = -15*x - 11. Determine 4*c(w) - 9*l(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z - 57. Let p be s(10). Solve 0 = -m - 4*l - 16, 0*m + p*m = -3*l - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:25 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/4*-1 + (-1)\/(-2). Solve 0 = -y + k*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 + 8*u + 6. Let l be d(-7). Let s be 2\/(l*(-3)\/2). Suppose 2\/3 - s*k**2 + 0*k**3 + 2\/3*k**4 + 0*k = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -5*a + 191. What is the least common multiple of a and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4127965mm in meters?\nAnswer: 0.0004127965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560919 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19641593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1572, 15978, 30384, 44790?\nAnswer: 59196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2613656274 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 184, 264, 366, 502, 684?\n\"Answer: 2*c**3 - c**2 + 69*c + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 8, -4, 2 in descending order.\nAnswer: 8, 2, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1209255.\nAnswer: 483702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3858*0.2054\nAnswer: -0.07924332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 68*t**2 + 3337*t - 3345. Let d(f) = -21*f**2 + f. Let i(u) = a(u) + 3*d(u). Factor i(o).\nAnswer: 5*(o - 1)*(o + 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/62130 and -101\/22?\nAnswer: 683430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 + 222. What is the nearest to -2\/7 in 122, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 517221 and 1896477.\nAnswer: 5689431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*x - 2009*x + 987*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -29 - (-767)\/(-208)*-8. Suppose -5*c - 4 = -2*a + 6*a, -a - 2*c = 1. What is the closest to t in -3\/5, a, 3\/5, 0.04?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1031622, 2063220, 3094778, 4126278, 5157702?\nAnswer: 6189032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + 4. Let i = 33\/14 + -18\/7. Put i, o, -0.5 in decreasing order.\nAnswer: i, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 7. Let g be (-8)\/(336\/(-234)) - 8\/14. What is w(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 20 = -3*w, 21 = 4*v + v - 4*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 - -663\nAnswer: 662.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -62, -213, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44849\/20 + -2244. Calculate the common denominator of x and ((-37)\/(-30))\/(1\/(-9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/4 - 2*n**3\/3 - 7*n**2\/2 - n + 42. Let h be i(4). Determine g so that -1\/5*g**h + 1\/10*g**2 + 0 - 1\/10*g**4 + 1\/5*g = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)\/sqrt(4)*-6 + (-2*sqrt(190))\/sqrt(10) + -1*(sqrt(76) + sqrt(76) + 2))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154639, -305557, -456475?\nAnswer: -607393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -426, -1508, -3614, -7086, -12266, -19496, -29118?\n\"Answer: -57*g**3 + g**2 - 4*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-4)*(-1 - -1). Suppose 5*f + 20 = -11*g + 16*g, m = 5*g - 3*f - 16. Let l = 3 - -4. Solve -g = l*c - 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305763793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*p - 1053 + 75 = 0, -2*s = p - 975. Suppose -s = 4*y - 1532. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (2 + sqrt(153))**2.\nAnswer: 12*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78820, 315294, 709410, 1261162, 1970544, 2837550, 3862174, 5044410?\nAnswer: 6384252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3 - 3073. Let r(t) be the first derivative of -2*t**2 - 2*t - 4. Determine c(r(z)).\nAnswer: 48*z**2 + 48*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 4*u**2. Let c(k) = k**2. Give 2*c(r) + o(r).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*u - u. Let x = u - 9. Let z(b) = b**3 - 3*b**2 - 2*b + 2. What is z(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 0*k**2 - 1\/6*k**4 + 0*k - k**3 - 1\/60*k**5 + 2. Let h(y) be the third derivative of l(y). What is h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.798 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*7\/(-420))\/((-62)\/93).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 72 = -7*v. Let f = v - 15. Suppose -4*n + 5*c + 145 = 0, f*c + 151 = n + 3*n. What is the remainder when n is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/29070 and -143\/327114?\nAnswer: 31075830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1291874801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 764?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/26484277 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -647.00000258 - -647. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348 - -607. Calculate the highest common divisor of b and 370.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6864 (c) 2 (d) -1 (e) -1025 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 760?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*t - 214, 5*p - 4*p - 56 = -t. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746997 divided by 5?\nAnswer: 746997\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 3. Let y = 32 + -14. Suppose 0 = -4*o - 4*z - 8, 8*z - 3*z - y = 2*o. Let a be c(o). What is the highest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 107. Let d = g - 33. Let c(x) = -27*x - 1. Calculate the remainder when c(-2) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 22?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3302\/(-508)*3\/1443*(-1)\/(2\/(-12))?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*d*z**2 - 371*d + 8*z**4 wrt z?\nAnswer: -50*d*z + 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 - i - 4. Let g(x) = -x**2 - 8*x + 4. Let p = 17 - 25. Let d be g(p). Suppose -n = -d*n. Give a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3300))\/(sqrt(11) + sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -3\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25497 + -170.22497. Let i = 126 - -43. Let p = c + i. Round p to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000101000111001000 + 10?\nAnswer: -110000101000111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 3236, 7282, 12946, 20228, 29128, 39646?\nAnswer: 51782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2. Let t(x) = x**3 + 6*x**2 + 10*x + 6. Let d be t(-3). Let r(g) be the second derivative of 0*g**2 + 0*g**3 + 0 - 1\/4*g**4 + d*g. Give o(r(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r**2 - 8*r**2 + 41 - 21*r. Let v be i(19). Suppose 5*k + 5*t = -0*t + 650, 5*k = -v*t + 658. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/155, 185, 0, -0.04, -3, -0.3 in decreasing order.\nAnswer: 185, 2\/155, 0, -0.04, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -1 (c) -2 (d) -2.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 930364991 to the power of 1\/2, to the nearest integer?\nAnswer: 30502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 12 = 3*j. Let l be j\/(-45)*(-6)\/4. What is the nearest to l in -4, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262227578?\nAnswer: 2, 13, 61, 109721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -11. Calculate the remainder when (-8)\/4*(-27 + -1) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + r = -48, 3*r - 9 = 0. Let n = -14 + x. Let i(s) = s**2 - 3*s - 1. Let f be i(-3). Solve 2*u + f = 4*t - n, -2*u - 12 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (116 + -123 - (1 + 0)) + -6 - -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -35*d + 41. Let n(q) = 33*q - 40. Let v(z) = -4*j(z) - 3*n(z). What is the remainder when v(6) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2436*x**4 + 41*x**3 + 13*x - 30569977 wrt x.\nAnswer: -9744*x**3 + 123*x**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 25*g**2 - 25*g + 26. Calculate x(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 13, 11, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14853.\nAnswer: 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/2 (c) -6 (d) 0.16 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 12 = 0. Let a be z*(-2 + 3 + -2). Suppose -a*u = u - 12. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*h**3\/9 + 111656*h**2\/3 + 574280*h\/9 - 63808\/3 = 0. What is h?\nAnswer: -2, 2\/7, 23928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3622 is divided by 182?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6, -4767 = -19*r + 18*r - 5*l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/2*(-1)\/(-2). Let p = 716 + -712.99. Let v = p + -0.01. What is the nearest to 0.1 in v, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132391945 smaller than 132391944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/667338 and -17\/21?\nAnswer: 667338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0.08, 76, -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 8*b**2 + 3*b + 11. Let r be y(-6). Suppose 4*j + 313 = p, -1553 = -5*p - 5*j + r. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191595862?\nAnswer: 2, 223, 239, 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -361, -546, -729, -910, -1089, -1266?\n\"Answer: t**2 - 188*t - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r - b, -4*r - 2*b = 1 + 1. Suppose 0 = v + r*g, v - 2*g + 6 = -2. Let q(c) = c**2 + 7*c + 5. Give q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57\/5 - -617\/55. Let d = -3.8 + 4. What is the third smallest value in d, c, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112213323130230 + -3?\nAnswer: -112213323130233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39331\/25 - -1573. Find the common denominator of -53\/175 and u.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**8\/336 - 769*c**6\/60 - 7*c**5\/60 - 13*c**3\/6 + 904*c**2. Find the third derivative of t(k) wrt k.\nAnswer: -60*k**2 - 9228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 - g + 10. Let t be y(0). Let o be 32\/(-5) - (0 + (-2)\/5). Let d = o + t. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 56\/13 (b) 151 (c) 2\/5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125))**2*3 - sqrt(45)\/(sqrt(9) + sqrt(144)) - ((sqrt(5) - sqrt(180)) + -5 + sqrt(15)\/(sqrt(18)\/sqrt(6)))**2.\nAnswer: -201*sqrt(5)\/5 + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 45 (c) -0.5 (d) 0.5 (e) -0.601\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 5. Let s be f(4). Let z = 1 - s. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c48b40 - 4?\nAnswer: 2c48b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 27.2, 59, -0.19, -19?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, v: 11, u: 1, p: 2, m: 1}. Give prob of picking 1 u, 2 b, and 1 m.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - c = -5*a + 57, 27 = 2*a - c. Suppose -4*z = 4*w, 5*z - 5*w - 15 = a. Let g(d) = d**3 - 4*d**2 - z*d + 5*d + 4 - 7 + 1. Give g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 936086332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 148 + 154. Let n be ((-1385)\/(-30) - 0) + a\/12. Suppose 5*d - n = -3*x + 17, -31 = -x - 5*d. Calculate the remainder when 125 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*g + 4, -118092 = -g + s - 118090 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -20?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184412 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 359148965 a multiple of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 4648 + 3539 + 255. What is the remainder when 1784 is divided by z?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Let h = -4 + -1. Which is the fourth smallest value? (a) h (b) 0 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2072 and -113\/3108?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*a**3 + 65*a**3 - 145*a**3)*(4*a + 0 + 0 + (-a - 5*a + 5*a)*(0 - 2 + 4) + a + 2 - 2).\nAnswer: -591*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90559*i**2*z**3 - 127*i**2*z + 781*i**2 - 9131 wrt z?\nAnswer: 271677*i**2*z**2 - 127*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3 + 3 - 3*r) - 2*r + r + 3*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 67848308936 + 67848308936.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2757667 and 1457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57494)\/(-357) + (-12)\/252. Calculate the highest common divisor of a and 1771.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 5. Let f = y + -31. Suppose -2*p + f = -p + m, -p + m + 27 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5104671.\nAnswer: 3, 11, 13, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 53\/(-4 - 197*8\/(-392)). What is the highest common divisor of 343 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80001644.\nAnswer: 2, 1559, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -28.9, 1, 5 in descending order.\nAnswer: 5, 1, -28.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = g - 3, 3*g + 5*s = 26. Suppose -g*x + 59 = -53. Calculate the greatest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3158 is divided by 642?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let b = -11 + 19. Let a be b\/(-36) + (-7)\/9. What is the third biggest value in a, 0, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 65, 0.5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8183 - 8041. Solve -22*m - s = -10 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53 times -0.3?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 6*a**2 - 9. Let j be u(6). Let k = 8 + j. Let s be 2 + (k - 3\/9). Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619 + -609. Let u(d) = d**3 - 8*d**2 - 18*d + 26. Calculate the remainder when 211 is divided by u(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1 (c) -5 (d) -3623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97631759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -124. Let i(w) = -3*w + 3. Let j(f) = 4*f - 4. What is o*i(h) + 5*j(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 0.11. Let k = 57 - 61.8. Let f = w + k. Round f to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16)*(-100)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/80)\/((-75)\/(-40)*-2)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 161 - 173 = 0. Let t(b) = 7*b**3 + 3*b**2 - 3*b - 3. Let f be 6\/(-4) - (-63)\/14. Let k(q) = -8*q**3 - 4*q**2 + 4*q + 4. Determine d*t(m) + f*k(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92639771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7036 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) 5 (c) -0.5 (d) -5 (e) 4 (f) -2\/3 (g) 2020\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:55 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 22*n**2 + 16*n - 30*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/11 (c) -2911 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 25 = 4*w - 5*k, 0 = -w - 2*k - 11. Sort w, 2, -78 in descending order.\nAnswer: 2, w, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1005757501 and 1.9.\nAnswer: -1005757499.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*k - 13, 2*k - 7 = -t - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*u + u - 7*u + 2*u + 0*u - 2*u + 0*u + (-2*u - 2*u + 3*u)*(-6 + 5 + 5))*(-3*u**2 + 0*u**2 - u**2) - 4*u**2 + 2*u**3 + 4*u**2.\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1226636, -1226720, -1226808, -1226900, -1226996?\nAnswer: -1227096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus 0.06481494?\nAnswer: -3.46481494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*x + 2494, -4*x - 12*k = -7*k - 2474. What is the remainder when x is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9231, 3\/4, -250, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(-5)\/(t**(1\/4))**(-25) assuming t is positive.\nAnswer: t**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)\/z)\/z**(-2\/43))\/(z**(4\/3)*z**(-3\/2)) assuming z is positive.\nAnswer: z**(-1937\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 2995, 4493, 5993, 7495?\nAnswer: 8999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 11*s - 2. Let j be u(8). Calculate the common denominator of j\/(-48) + (-3)\/(-9) and (-95)\/(-30) - (-2)\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1409*i + 1498 + 739*i + 226*i + 193*i wrt i?\nAnswer: 2567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.038.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/486639 and -62\/162213?\nAnswer: 486639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**2 + 2*q**3 + q**3)*(4*q**2 - 3*q**2 - 3*q**2).\nAnswer: -6*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 9*r = -5. Suppose 15 = r*h - 10. Solve 10*l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18999\/40 + 475. Let k(v) be the third derivative of 1\/8*v**4 + 1\/10*v**5 - 5*v**2 - p*v**6 - v**3 + 0*v + 0. Factor k(b).\nAnswer: -3*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + z**2 + 3*z + 8. Let y(p) = -p - 1. Let d(u) = f(u) + 6*y(u). Let k be 2*(-3 - 35\/(-10)). What is d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 289. Let k = -299 + i. Find the common denominator of (-4)\/(-26) + k\/(-1092)*-41 and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 120\/7, -2, -4, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 15. Suppose -m = t*l - 48, 4*m - l = -5*l + 168. Suppose 11 = 5*p - m. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5 - 25. Suppose 3*t + u = 0, 4*t - 13 = 3*t + m*u. Solve 3*r = 2*r - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(-21*z - 8*z + 4*z).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 8*a - 5. Let x(f) = f**3 - 9*f**2 + 7*f + 15. Let g be x(8). Determine b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - a**2 - 2*a**4 - 14*a + 5*a + 3*a**2 + 3*a**3 + 8*a to v*a**3 + x*a**2 + r + s*a**4 + m*a and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*a**2 + 219*a**2 + 102*a**2 + 246*a**2.\nAnswer: 413*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.543323.\nAnswer: 0.143323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 25. Let z be (-7)\/(-3) + (-3)\/9. Suppose 0 = q*u - u + 2*f + 22, -z*f = u + 13. Which is the smallest value? (a) 3 (b) 0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 9 in decreasing order.\nAnswer: 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 22*h**2 + 24*h + 55. Let b be l(23). Suppose 0 = -d + b - 52. Let o = 166 - 114. Calculate the greatest common factor of o and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 22 - 32. Suppose z*i + 4 = 10*i. Suppose 2*l = -0 + 4. Solve -5*b + 2*b - i*k = -19, l*b + 18 = 5*k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 29326 = -68*y. Calculate the highest common divisor of y and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-4\/3)*(c*c\/(c\/c**(-1)))\/c*c**(-5)\/(c\/c**(-1\/5))*(c\/(c**0*c))**40*c**(-3)*c**(-2\/13)*c*c*c assuming c is positive.\nAnswer: c**(-979\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-123 - 82)*(-4)\/(-20)*-23. What is the highest common divisor of 205 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41408?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*l - 177*l + 7*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138079101 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*t - 4*v, -1116 = -3*t - 3*v - 1137 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1287 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3)*j)**(1\/12)*j*j\/j**(1\/3)*j**(-28))**9 assuming j is positive.\nAnswer: j**(-951\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8553724 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -917 + 917. Let l(j) be the third derivative of 0 - 1\/6*j**4 + 1\/5*j**5 - 1\/10*j**6 + x*j**3 - 8*j**2 + 0*j + 2\/105*j**7. Solve l(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 + 29477*v - 265291. What is c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23*4\/16)\/(14\/1344*24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 6*u + 3*u - 10*u.\nAnswer: -u + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = 4*v, -v - 2*l + 4 = -1. Suppose -4*c + 6 = 2*r, 3*c = 2*r + 2*r - 45. Suppose r*z - v*z - 68 = 0. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (-165)\/(-35)) + 6\/(-70). Put 2, 0, n, 4 in decreasing order.\nAnswer: 4, 2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/9 (c) -1\/75 (d) 5912 (e) -11 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a (base 13) to base 3.\nAnswer: -110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-16\/5))\/(s\/(s\/s**(-15)))*s\/s**(-21)*s\/(((s**(-2\/27)*s)\/s)\/s)*s*s assuming s is positive.\nAnswer: s**(6112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476976?\nAnswer: 2, 3, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - -147)\/4 - (3 - 2). Let z(w) = 17 - u + 15*w + 20. Let d(c) = -14*c. Determine d(z(j)).\nAnswer: -210*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -55 (c) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714 - 714 - 5*h + 11*h**2.\nAnswer: 11*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y + 2. Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65667 by 88.\nAnswer: -65667\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -0*t - 4*t - s, 3*t - 2*s - 434 = 0. List the prime factors of t.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h - 6. Suppose -3*k + 3 = -o, h*k + 8 = 4*k + 2*o. Suppose 0 = -k*l + l + 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, q: 8}. What is prob of sequence qy?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14d64 + -20e?\nAnswer: 14b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*w + 15 = 1, 2*w = -3*q - 1. Let c be 4250\/30 + 1\/q. Suppose 5*j - c + 57 = 0. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1\/15*h**3 - 2\/5*h**2 + 4\/5*h + 9 + 1\/20*h**4. Find s, given that a(s) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0, -0.11, -4\/5, 5 in increasing order.\nAnswer: -4\/5, -0.11, 0, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 2*v + 20 + (-8*v - 10 + 10)*(1 + 4 - 6) + (2 + v - 2)*(1 + 1 + 0) as o + s*v and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 - 470 = 0. Suppose 9*y + v - 689 = 0. Calculate the remainder when y is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/10*(-111)\/74*(-8)\/(-6)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-6)*120\/210. Calculate the lowest common multiple of 8 and (-236)\/r - 20\/(-10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 8. Let j(o) be the first derivative of -2*o**3\/3 + 169. What is j(c(z))?\nAnswer: -18*z**4 + 96*z**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258614729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xec when three letters picked without replacement from {e: 1, c: 2, z: 1, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(v + 0*v - 6*v) - 4*v + 1 - 9*v - 12*v.\nAnswer: -35*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 391362955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 853*u + 14790. What is c(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06063, -3\/5, 0.29, -0.07, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335797 - 196749 + 908678 - 401334 = 15532*t for t.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17739 - 6638. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -91 (b) 0.06 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 199*x**3 - 4*x**2 + x + 16. Let d(j) = -2389*j**3 + 47*j**2 - 11*j - 187. Give 6*d(w) + 70*p(w).\nAnswer: -404*w**3 + 2*w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9459 plus -2.215?\nAnswer: -9461.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211322110 (base 4) to base 5.\nAnswer: -14432114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - 15*a**3 + 1 + 13*a**3 + 10*a**4 - 3*a to h*a**4 + g*a + t*a**3 + z + m*a**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 296563932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069296 is divided by 3700?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 3*q**2 - 2*q)*(q**2 + 3*q**2 - 6*q**2) - q**4 + 26*q**2 - 20*q**2 - q**4 to z*q**3 + d*q + j*q**4 + w + v*q**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 4:24 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 234198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - g)*(-95*g**4 + 540*g**4 + 353*g**4).\nAnswer: -798*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.6 + 7.60002875. What is c rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58431, -233748, -525945, -935022, -1460979, -2103816, -2863533?\nAnswer: -3740130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5501\/15 - -1102\/3. Let v = -19 + 11. Let q = -1 - v. Is u not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62211520 + -3?\nAnswer: -62211523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 295 - 280 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = f. Suppose -f*b + 156 + 154 = 0. Suppose 2*c = 2*p - 3*p + b, -3*p = -2*c + 78. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {p: 1, o: 2, g: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-9) + -3*100\/(-675). Is 12\/967 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:03 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1*3\/6 - -5. Suppose -50*j - 658 = -52*j + 2*z, -o*z + 963 = 3*j. Is 327 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-72)\/30)\/((-4)\/270). Let p = h - 157. Put -13, -4, p in ascending order.\nAnswer: -13, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 596.72 - -0.038.\nAnswer: 596.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 16*c - 48. Suppose 0 = -c*p - 289 + 1681. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595077315 divided by 119015463?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 120?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/5 (b) 3 (c) 0.6 (d) -0.4 (e) 1018 (f) 0.07 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432977927 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13608 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -574 + 577. Let f be 2\/v - (-11)\/((-429)\/52). What is the nearest to 0.4 in 0.4, f, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*c - 21. Suppose o - 2*n - c = -1, -o = -5*n - 9. Solve 11 = o*f - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5758 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 39808*a - 157*a**2 + 147*a**2 + 39808*a.\nAnswer: -10*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/2 - 13335*y\/2 + 112914 = 0. What is y?\nAnswer: 17, 4428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -103?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 9. Suppose -w - h = -2*v, -3*w - 3*v + 23 = 2*v. Let z(s) = s**2 + 53*s + 521. Let c be z(-13). Solve -u + c = -w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -3*i + 8*i. Let n = 84 + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x - x - 8*x - 14 + 20 as r + c*x and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3452*g**3 + g**2. Let f be s(-1). Let p be (f\/63)\/((-4)\/6). Let y = p - -165\/2. Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*q - 19 - 10, -4*q = 4*n - 152. Suppose -4*s - 173 = 4*o - 5*o, 0 = s - 3*o + n. Let l = s - -68. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5545 times -9120?\nAnswer: -50570400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -53, -32, 9, 76?\n\"Answer: m**3 + m**2 - 3*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9712 rounded to two dps?\nAnswer: -2.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.314 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -702 by -2.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8850168 and 1.3.\nAnswer: 1.15052184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 1528*m**4 - 3545 + 1525*m**4 + 9*m**3 + 3544 - 131*m**2 to the form a*m**4 + o*m**2 + c*m**3 + u*m + d and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:11 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-36)\/(-156) + 20052\/43953. Is 0 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2846 divided by -49722.\nAnswer: 1423\/24861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - -12 - 21 - (8 + (2 - 14) + -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 998 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) - sqrt(147)) + 3 + ((-3*sqrt(168))\/sqrt(7))\/sqrt(8).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 2. Suppose r*j - 3*j - 28 = -4*q, 3*q - 16 = -2*j. Let x(u) = -u**3 + 20*u**2 + u - 17. Let t be x(20). Solve t*y = 1 + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/17)*h)\/h**(1\/2))\/(h*h*h**(-1\/10)*h*h*h\/(h**(-2\/3)\/h)))\/((h\/h**(1\/3))\/h**4*h**2\/(h*h\/(h**(5\/3)\/h))) assuming h is positive.\nAnswer: h**(-214\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -612 divided by 102\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5134104 and 11676.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {a: 9, l: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6 = -2*r + 5, -2*r = -4*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 4. Let x be h(-4). Let i be ((-240)\/5)\/(-3) - 11. Solve 13 + 12 = -5*f - 2*p, x = -i*f - 5*p - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1443630358 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*d**2*n - 12*a**2*d + 26*a**2*n - 3*a*d**2 + 2*a*d*n - 4*a*d - 10*a - 2*d**2 wrt a?\nAnswer: 4*d**2*n - 24*d + 52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1020 - 992. What is the highest common factor of 1588 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2478120 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 17) + 58 - 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z + 8. Let k be j(-3). Solve -2 + 0 = k*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/2 + 18296226*q**4 + 55791980973846*q**3 = 0. Calculate q.\nAnswer: -6098742, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3*g - 2. Let k be y(-2). Let l = 27\/1018 + 455\/2036. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + 5 + (-1 - 10) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805 less than -2.4?\nAnswer: -2807.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((10 - 5) + -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 5, -1\/3, -16\/5055?\nAnswer: -16\/5055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**7\/840 + l**5\/30 - 2*l**2. Let x(t) be the third derivative of z(t). Let y = -63 - -64. Calculate x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/4, -80, -0.0137 in ascending order.\nAnswer: -80, -1\/4, -0.0137, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*4*-3 + sqrt(104) + sqrt(104))\/(-3*sqrt(512)))**2.\nAnswer: 117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.155 + 0.445. Let o = -13.1 + k. Which is the fourth smallest value? (a) -0.1 (b) 1 (c) o (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**5\/10 + l**4\/3 - l**3\/3 - l**2 - l - 5. Let r(u) be the first derivative of v(u). Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 - 3*z**5 + 12*z - 3*z**6 + 2*z**6 + 2*z**2 - z**5 - 4*z**6 wrt z?\nAnswer: -840*z**3 - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60 and -8858.\nAnswer: 531480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266 by 66260.\nAnswer: 133\/33130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331 take away -2407.09?\nAnswer: 76.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*j - 10. Solve -o + 2*t + 3*t = 28, 2*t = -o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c + 33 = 2*y + 95*c - 192*c, -5*y = -c - 75 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*r - 2753*r - 2865*r = 39939 + 493555 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1 - 2364*a - 9.\nAnswer: -2364*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 1\/(4\/96).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9918 and 418266.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t + 518 = -30*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 6*j + 3. Let t be o(6). Suppose 4*r + r + 2*u = 2, -t*r = -4*u - 22. What is the derivative of r + 0*z**2 - 2*z**3 + 0*z**2 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. What is the least common multiple of 5 and -18*(o\/6)\/(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -56, -5 in ascending order.\nAnswer: -56, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -502 + 501.8. Put -19, 2\/9, 2, r in increasing order.\nAnswer: -19, r, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -96*y**3 + 2. What is the least common multiple of p(-2) and 630?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16139 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:13 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 11 - 2) + (-2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010795653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 3:33 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410*o + 294 wrt o.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*z, 5*z = 5*t + z - 6. Put -5, -26, 4, t in decreasing order.\nAnswer: 4, t, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550947244.\nAnswer: 2, 23, 5988557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/309, -2.1, 2\/5, 0.1 in ascending order.\nAnswer: -2.1, 7\/309, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o - 5*u = -36*o - 80, -4*o - 2*u + 74 = 0. Which is bigger: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 4*h + 8, 3*h + 13 = 5*n. Suppose 4*g + 230 = 2*w, w = n*g + g + 112. Suppose -5*o + w + 64 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2251145 and 0.4.\nAnswer: 0.1748855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**8\/5880 - n**7\/588 + 2*n**6\/315 - n**5\/105 - 5*n**3 + 26. Let p(i) be the third derivative of l(i). Factor p(h).\nAnswer: 2*h*(h - 2)**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -152399\/3 and -50801 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27457451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umumuu. Give prob of picking 3 u and 1 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n + 60 - 52 = 0. What is the fourth smallest value in 1, -43, 2\/7, -1\/3, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - 6 = 0, -5*s - 3*c = -201. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 42 + (1 - -1). What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3495023 = -3*j, 5*j - 5824993 = -0*x + 3*x. Let t be (-4)\/20 - j\/(-5). What is t rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:10 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593.605ml in litres?\nAnswer: 1.593605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 226*a**2 + 243*a + 3905. Determine p(74).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -40. Let p = 2069 - 2067. Calculate the highest common divisor of p and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-66)\/(-110)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1600 = 2*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15166937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 60 = -11*m, 39*u - 44*u + 5*m = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + 26\/5. Suppose u*z + j + 9 = -2*j, -5*z = -3*j - 9. Solve s = 2*y - 9, -s = -z*s - 4*y + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 10:01 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.365851 or 2\/5?\nAnswer: 0.365851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 45*i + 258940 = 5*m, -258930 = -5*m + 5*i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**4 - d**3 - d**2 + 1. Let o(u) = 3*u**4 + 5*u**3 - 19*u**2 - 25*u + 4. Let g(n) = 4*a(n) - o(n). Factor g(m).\nAnswer: m*(m - 5)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209)\/22*(-7 + (-806)\/(-65) + -5).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -121*s - 3995. What is n(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/30*9\/(-12))\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -385444.7416 to the nearest one thousand.\nAnswer: -385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052 * 5.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepepkppekpekkpp. What is prob of picking 1 k, 2 p, and 1 e?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/8 - 128413*g**2\/4 - 6678127*g\/8 - 1605325\/2 = 0.\nAnswer: -25, -1, 256852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*9*16\/(-48). Let l(g) = -13*g - 70. What is the least common multiple of 11 and l(d)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 16 (b) 0.4 (c) 1\/7 (d) -338 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v + 6 - 3 + 3 - 6.\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 20 in increasing order.\nAnswer: -5, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 + 3*b + 1. Let c be z(-2). Suppose 3 = 5*u - 2. Let p = u + -4. Sort 0, c, p in ascending order.\nAnswer: p, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, q: 3, t: 2, u: 6, h: 1, s: 2}. What is prob of picking 1 c, 1 q, and 1 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 13. Let v = p + 13. Suppose 0 = j - v*j. Solve -4*b = -5*r - 11, -b + 4*r + 4 + 7 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1 - 0\/3). Let t(p) = -40*p - 39. Let m be t(-1). Which is the closest to v? (a) m (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1008*q**3*u**2*y**2 - 2*q**3*u*y - 65*q**2*u**2*y + 3*q*u**2*y**2 - y wrt y?\nAnswer: -2016*q**3*u**2 + 6*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386368 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*r - 29 + 1, 5*t = r + 41. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/135)\/(1\/(-13285)*1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2122634 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 217772353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 + 397*q**2 - 58*q - 543. Calculate i(66).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:54 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {z: 15, f: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let z = 99 + -97. Let x be -1*1*(-1 + -1). Let k(v) = 6*v**x + 4*v**2 - 11*v**z. Determine f(k(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 + 2 = 0. Suppose -3*z + s = -z. What is the third derivative of -y**4 + y**z + y**2 + 0*y**4 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + f = -15, x + 3*f - f - 6 = 0. Suppose 15*n = x*n + 44. Solve -n*p + 0*p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-84)\/(-35). Differentiate 1 + 4 - 10*h**w - 1 + h**2 wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 4. Let h be r(3). Let l be 138\/24 + 6\/(-8). Let j be (-441)\/(-35) - (-2)\/l. Solve 0 = -4*n - 3*u + j, h*u = 2*n + 2*n - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7233 - 7233.4. What is the closest to j in 0.2, -1.07, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o + o)*(-o**3 - 3*o**3 + 3*o**3) - o**4 + o**4 + o**4 + (3*o - 3*o + o**2)*(0*o**2 + 0*o**2 + o**2) + 8*o**2 - 8*o**2 - 3*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, -10\/13, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 13*h**2 - 3*h - 16. Let c be q(7). Let p(n) = -c*n + n**2 + 15*n - 13*n + 4 + 8*n. Calculate p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02050136974 - 2?\nAnswer: -1.97949863026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/5 + (-6)\/(-15). Let d(m) = -2*m**2 + 3*m - 3. Determine d(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -877.8921 + 878. Let r = -0.096 + y. What is r rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 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: Is 310388.6 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 907470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 16\/(-10)*(-11715)\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, -0.02, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 13*s**6\/3 + s**5\/20 - s**4\/12 + 423*s**3\/2 - s**2\/2 - 8*s + 341. What is the second derivative of g(k) wrt k?\nAnswer: 1560*k**2 + 6*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.151 and -4.\nAnswer: -0.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -527. Let q = m - 146. What is the greatest common factor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 918 and 10438?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 x, and 1 y when four letters picked without replacement from eixxxiieyiiiexieix.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 412, 949, 1714, 2713?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 1679 = -454. What is the third derivative of -l*v**5 - 13*v**5 + 77*v**2 + 29*v**5 + 13*v**2 wrt v?\nAnswer: -3780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -31 - (-6)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/142 and 151\/588.\nAnswer: 41748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718800828 - -1?\nAnswer: 2718800829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 2 + 0 - d**2 + 3*d**2 - 5*d - 2*d**3. Suppose -2*i + 1 = 7. Determine f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116593 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.007 + -0.07. What is p rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 - 13*a**2 - 6*a - 4. Let j(i) = i**3 + i**2 + i + 1. Let q(y) = 6*j(y) + k(y). Let h be q(-7). Factor 1\/6*v**h + 0*v - 1\/6.\nAnswer: (v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -120?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 3 (b) 0 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1204)\/(-124614))\/((-2)\/18). Which is the nearest to g? (a) 1\/4 (b) 2\/7 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 6\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29493 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 45. Calculate j(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-4)\/44)\/((-1)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341287, 341280, 341269, 341254, 341235, 341212, 341185?\nAnswer: 341154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axfdxd. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*a - 318, -11 = 5*a - 6. Let q = 82 - z. Calculate the greatest common factor of 57 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m**(-1\/4))\/(m*m*(m**(1\/4)*m)\/m*m*m*(m\/m**(-2))\/m)*((m*(m**(1\/2)\/m)\/m)\/m)**5*m**(-4)*m*m**7*m assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75325.77586 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-66)\/(-4))*-14. Let h be 18\/4*109606\/k. Let q = -2132 - h. Calculate the common denominator of -16\/9 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595266 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 115?\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 3. Let c = 0.799925 + q. What is c rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -2\/9 (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.06 - -0.06. Let r = 1.9 + -1.6. What is the biggest value in r, a, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (13 - 8) + -12 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19697\/9 - 2182. Calculate the common denominator of n and 309\/90 + (-4)\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65121*p**3 - 52686*p**2 wrt p?\nAnswer: 390726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 5529885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**3 + 2885*w**2 + 30*w + 5. Let j(q) = -4*q**3 + 1443*q**2 + 12*q + 2. What is -2*a(u) + 5*j(u)?\nAnswer: -2*u**3 + 1445*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 + 2*f - 7. Let p be r(5). Let k(j) be the first derivative of -p + 1\/4*j**2 + 0*j**3 + 0*j - 1\/8*j**4. Factor k(v).\nAnswer: -v*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, w: 4}. What is prob of sequence wgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxjefoe. Give prob of sequence eej.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 6*w - 60. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -v - p, 140 = -3*v + 3*p + 2. Let x be (-4)\/(-18) - v\/(-9). Put -3, 2, x in ascending order.\nAnswer: x, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 6*d + 10*d - d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53392 times -1.68?\nAnswer: -89698.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19764138909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*-2*65. Let n be (1 + -2)*(8 - 21). Calculate the highest common divisor of z and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 141 = -2984. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*42\/9. Let r be (-12)\/i - ((-10)\/7)\/5. Solve -11 = -2*y - 0*y - 3*v, -4*v = -r*y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*0\/(-1). Let m = 37 - 25. Let f = m + -11.5. Which is the nearest to z? (a) 2 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*m + 33 = 2*c, 4*c + 4*m = 24. Let s(t) = -t**2 + 2*t**2 - c*t**2. Let r(z) = -z**2. Determine s(r(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34476834 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 4*z + z + (1 - 1 - 3)*(6*z - 2*z - 2*z) + 1 - 4*z - z + 4*z to the form q*z + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27902, 55809, 83716, 111623, 139530, 167437?\nAnswer: 195344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = k + 58, 3*r = 5*k + 125 + 137. Let z = 122 + k. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 539*z + 17669. What is x(-35)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*h**2*r**3 - 2975*f*h**2*r + 12*f*h*r - 2*f - 2*h*r**3 - 13*r**3 - 2 wrt h?\nAnswer: -4*f*r**3 - 5950*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-15) + 1\/5. Let p be ((-21)\/(-14))\/(z\/(-4)) + 340. Find the second derivative of 13*s + p + 17*s**3 - 2*s - 342 wrt s.\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-517)\/(-55))\/((-182)\/910)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5\/(0 - -1) - -10149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*w. Suppose -f = 5*l - 6*f + 20, -4 = w*l - f. Solve -2*d = -l*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2880.4 - 0.9994.\nAnswer: 2879.4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ykfyxuyffjxj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/93 and -73\/66.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeutsuvtsetbvbusuevs. Give prob of picking 1 u, 1 e, and 2 t.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from cckkkckckcccc.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 492281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5119*c + 4299956. Calculate q(-840).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**3 + 2*u - 43. Let h(n) = 7*n**3 - 3*n + 42. Give 2*h(x) + 3*z(x).\nAnswer: -4*x**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3526 = -70*m + 72*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 3, d: 2, l: 1, r: 3, w: 2}. Give prob of picking 1 r and 2 z.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2 (c) -28 (d) 5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2904 and 541837032.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -8 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z = -176. What is the remainder when 85 is divided by (-2)\/4*(z + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v - 6. Let k be d(-5). Let i(x) be the first derivative of 7*x - 6*x + 3 - 5. Let o(z) = -z**3 - z**2 - 6. What is k*i(c) + o(c)?\nAnswer: -c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19926?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281259 and 44.\nAnswer: 1125036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k - 4*k)*(3*k - 2*k + k) - k**2 - 3*k**2 + 3*k**2 + 2*k**2 + k - k - 145*k**2 - 165*k**2 + 368*k**2.\nAnswer: 61*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5132150574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**3 + g**2 - 1. Let j be f(1). Is -9 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11140 a factor of 658808460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1709019*n + 1708992*n + 999 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 - 31*u + 21. What is the tens digit of y(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -6c2632?\nAnswer: 6c2628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3 - 2. Let s(c) = -2*c**2. Calculate s(u(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -155, 5, -86, -2, 3, 1.\nAnswer: -155, -86, -2, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {n: 1, z: 3, v: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -195*k**2. Let a(u) = -19*u**2 + 7. Let p(q) = 8*q**2 - 3. Let g(i) = 3*a(i) + 7*p(i). Give b(g(l)).\nAnswer: -195*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 826 = -z + 31, 3*z = -s + 787. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.09554 - 0.09554. Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) -174 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19770 = 141*i + 26256 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80)*3 + sqrt(80))**2*1 + -3 + -4*((-4*sqrt(80))**2 + -4).\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (1 + sqrt(931))**2)*3 + (6*(-4 + 2 + 3*sqrt(931)))**2.\nAnswer: -3234*sqrt(19) + 287823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g + 610. Let h be k(46). What is the greatest common divisor of 18 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 * 87.1781\nAnswer: 14384.3865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666324192 to the nearest integer?\nAnswer: 25813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 10*l**2 - 22*l + 28. Is 7 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 13*l + 7. Let k(p) = 3*p**2 + 19*p + 10. Let o(d) = -8*i(d) + 5*k(d). What is o(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 31464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 2*t, -8 + 2 = t + 2*v. Suppose 0 = -3*d - g + 127, t*d - 6*d + 151 = 5*g. Calculate the greatest common factor of d and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4640 and 122380?\nAnswer: 979040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-210)\/1995 + (-21)\/(-19). Put u, -2, 2 in increasing order.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/15 - 183*w**5\/10 - 2821*w**4\/2 - 8281*w**3\/3 - 92*w - 2. Find t, given that s(t) = 0.\nAnswer: -91, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*(-4)\/30)\/(26\/260). Let l(x) = -5*x + x + 13 + 3*x**2 - 8 + 3*x - x**3. Let v be l(3). Solve -3 - 7 = -v*t, q*z + 2*t = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/771880 and 7\/23368.\nAnswer: 98028760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 426434952 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4. Let u = -27 - -42. Let m be g(u). Let d be 33\/(-44) - m\/(-4). Solve z + d*z = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-162)\/4)\/3)\/15)\/((-106476)\/(-9340))*-2.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 951 - 171. Let f = m + -787. What is the third smallest value in f, 3\/7, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 108953?\nAnswer: 1307436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29116813 or 29116818?\nAnswer: 29116813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkprrcmrkccrkccc. Give prob of sequence rpk.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2 - 10*f + 926 with respect to f.\nAnswer: 6*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:11 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5021 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-22)*(32 - (-16)\/4). Let s be (392\/(-63) - -6)*m. Sort -4, 35, s in increasing order.\nAnswer: -4, s, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2231332 - 121?\nAnswer: -2231453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 2628 + 3512 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1550 divided by 2570.\nAnswer: -155\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/22 + (6 - 13)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59123, -59104, -59085, -59066, -59047?\nAnswer: -59028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.99 + -88. Let w = n + 4. Sort 1, 0.5, 3, w in descending order.\nAnswer: 3, 1, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113512.400008 - 113512. Let w = -0.4 + s. Round w to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1770 + 3823. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:52 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2644*x + 9 - 9 - 37505*x.\nAnswer: -40149*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827.85 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 2. Let c be q(-1). Let p = c - 5. Let j(l) = -p - 6*l + 5*l - 5. What is j(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/621, -1, -0.3, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-574)\/(-164)*-2*3\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -225*y**3 + 503*y**2 - 3453 - 68*y**2 - 215*y + 3453 + 5*y**4 = 0. What is y?\nAnswer: 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.75 times -5.68\nAnswer: 44.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -55. Let i = -28 - j. Let g = 0 + -0.2. Put -2\/11, g, i in decreasing order.\nAnswer: i, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10531 (base 6) to base 3.\nAnswer: -2001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4 - 20. Let b = f + -3. What are the prime factors of b\/5 + (-147)\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-169)\/(-39))\/(2\/90). Let g be (352 + 12\/4)\/1. Let b = g - u. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9031.57392 + -9030. Let g = -52.42703 - w. Let x = g - -54. Round x to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 + (0\/(-2 + 4) - -2). Suppose z = 5*n - 10. Suppose -n*s = 5*s - 1276. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4304 - 13620.4304. Let c = i - -13618.0000006673. Round c to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10461756, 2, 1.\nAnswer: 1, 2, 10461756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -4*g**5\/45 - g**4\/3 + 4*g**3\/3 - 10*g**2\/9 + 76. Factor j(y).\nAnswer: -4*y*(y - 1)**2*(y + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -408 (c) 294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1928*o**2. Let b(p) = 39*p. What is b(y(s))?\nAnswer: -75192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84944347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 20 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*10\/(1120\/63). Put -4, l, -2\/11 in decreasing order.\nAnswer: l, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -121*u - 56. Let s(b) = 81*b + 37. Let a(y) = -5*h(y) - 8*s(y). Let r be a(-10). Does 11 divide r\/9 + 1*(2 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12471 (base 9) to base 3.\nAnswer: 102112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.959 + 16. Let h = -0.04100061 + m. What is h rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 3, 273, 0.1, -4, -9\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1357*i + 1969*i - 28764 = 0 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 8169.937ug in grams?\nAnswer: 0.008169937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*g + 4199 = 0, 9*g - 4*g + 5 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l - 1 + 1)*((-2 - 1 + 5)*(-1 + 0 - 1) + 0 + 5 - 6) + (2*l - 1 + 1)*(3 - 2 + 1))*(-18*l + 6*l - 20*l).\nAnswer: -288*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8259 is divided by 147.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426\/1988 - 86727\/(-14)?\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 9*l + 0 + 10*l)*(6840*l - 6840*l - 20*l**2).\nAnswer: -20*l**3 + 260*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-80))\/((-19)\/(3325\/(-42)))*(-1677)\/215.\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67768675?\nAnswer: 5, 13, 208519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, r: 3, o: 1, p: 5, m: 1}. Give prob of sequence sr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**4 - 3004*z + 52263 wrt z?\nAnswer: -12*z**3 - 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12699203*r - 9943307 with respect to r.\nAnswer: -12699203","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 19425?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 11*t**6\/120 + t**4\/2 + 10*t**2. What is the second derivative of o(u) wrt u?\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 40 = -s. Let v be (1*-1)\/(2\/s). Let j(t) = 2*t + v*t - 5*t. Let c(h) = h. Calculate j(c(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + f + 2*f - 18 = 0, 0 = 5*f - 10. What is the units digit of (-20)\/(-8)*(-492)\/(-10) + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 1, u: 1, p: 1, g: 1}. What is prob of sequence ap?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76476 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*59271\/(-230)*(-1)\/3. Which is smaller: y or -431?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730 and 19722?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433310 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.62, -347, -77?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -14*s + 1\/6*s**4 + 0*s**2 - 1\/3*s**3 + 0. Calculate k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 10*v - 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.262 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 306 + -305.9307. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 17*g - 14*g + 95, -5*p + 5*g + 85 = 0. What is the lowest common multiple of p and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (4 + -4 - -3) - -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/574?\nAnswer: 1\/574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 39. Let a = -1621\/5 - -18101\/55. Calculate the common denominator of n\/14 + (-64)\/77 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121641812, -121641816, -121641820, -121641824, -121641828, -121641832?\nAnswer: -121641836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7342*u**3 - 23556 + 30162*u**3 + 11773 + 11783.\nAnswer: 37504*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17968160 to the nearest one hundred thousand.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409779?\nAnswer: 23, 104773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9295.815 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 36. Suppose 0*b + 77 = 7*b. Let x = s + b. Solve 3*g + 8 = x*g - 2*q, -4*g - 5*q = 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlq when three letters picked without replacement from lqllqqqlvcsq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5477.97.\nAnswer: -10955.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0*u = 9, -21 = 10*o - 6*o - 5*u for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3 - 2*p + p - 5 + 9. What is the tens digit of z(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4 - 4 + 0 + 3*j**2. Let c(o) be the second derivative of o**4\/6 - 31*o - 3. Calculate p(c(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -20. Let q = j - 11.2. Let z = -19 + 15. What is the third smallest value in q, z, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 15. Let l(c) = 49*c + 792. Let b(q) = -5*h(q) + l(q). What is the derivative of b(p) wrt p?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (11 + -17)) + (-78 - -6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 b when four letters picked without replacement from nnrgtbg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/802 or -1?\nAnswer: -3\/802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (64\/40*1\/(-4))\/(17\/(-425))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 59. Let q(t) = -108*t + 2. Give y(q(j)).\nAnswer: 46656*j**2 - 1728*j - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5140691 divided by -36.\nAnswer: 5140691\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3. Let n be 2\/(-15) - (-5776)\/120. Let h be (-1)\/((0 + 3)\/123). Let v = h + n. Let l(s) = 13*s**3. Determine v*i(r) + 2*l(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11000401 - 11?\nAnswer: -11000412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (148\/6)\/((-20)\/30). Let y = 42 + f. Solve 4*m = 3*u + y, -m + 2*u + 0 + 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 2, h: 1, y: 1, k: 2, w: 2}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24066 divided by 42.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 21*l**2 + 1 - 1.\nAnswer: 3*l**3 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2022 and 95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3*m**2 - 2 + 2*m - 2*m**2 + 4*m**2. Let q be p(4). Put 2, q, -1, -2 in descending order.\nAnswer: 2, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 3}. Give prob of picking 3 y and 1 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 + 2*l**2 - l + 1. Let g(v) = 50*v**3 + 11*v**2 - 7*v + 9. Give 6*b(s) - g(s).\nAnswer: -32*s**3 + s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 8. What is the smallest common multiple of h(-10) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.2 (c) 11 (d) -0.21 (e) -478 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70035 is divided by 176?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 85. Let o = -4 + r. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -452120\/9509643 - -52\/9031. Find the common denominator of s and -22.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 11. Let z be i(-9). Calculate the remainder when 4 is divided by (-8)\/z*(-12)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/36*(-5)\/(-7))\/(2\/(-4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 9, -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o**2 - 11. Let y(p) = 5*p**2 - 4. Let s(r) = -4*l(r) + 11*y(r). Let b(d) be the second derivative of -d**3\/6 - 15*d. Give s(b(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2491, -2515, -2539, -2563, -2587, -2611?\n\"Answer: -24*u - 2467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - 2*m**3 - 20 - m - 15 + 34. Suppose 6*y - 3*y + 3 = 0. Give n(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64853.68 micrometers in centimeters?\nAnswer: 6.485368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 94*v - 69. Is u(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3594*l - 3520*l - 296 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*b - 20 + 5 = 0, 2*z + 4*b - 2 = 0. Solve -u + 3*i - z = u, 0 = -4*i + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 28*b**2 - 20307*b + 189. Determine o(94).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 97 = k - 3*p, 4*p - 20 = 0. What is the least common multiple of 37 and k?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80184700435176 take away -0.1?\nAnswer: -80184700435175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1477 and 19.\nAnswer: 28063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 + 87. Let h = a + -597. Let y = -89 - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139334912 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/15)\/(57\/95)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f - 4. Let c = -193 + 184. Let k(a) = 2*a**2 + 20*a + 14. Let z be k(c). Determine r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13222874 by 11.\nAnswer: -13222874\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.075588 times 2439\nAnswer: -184.359132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (868\/28)\/9052*24\/3\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 29650 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: In base 15, what is 25 - -7?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Let y(i) = -i**2 + 11*i - 15. Let r be (-2 - 10\/(-4))\/(2\/20). Let n be y(r). Let v(d) = 5*d - 49 - n*d + 12*d. Calculate v(q(a)).\nAnswer: 4*a**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 192 = 15*r. Suppose -4*o - 2*s = -r, 4*o + 102 = 6*o - 2*s. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 6*k - 3. Determine u(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00158896033 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -865*m**2 + 13847*m - 112. Determine q(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 427.\nAnswer: 36\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 50.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = -4*j, 49*j - 54*j + 2*m = 4. Solve 0*a + 5*o + 10 = 5*a, 5*a - 2*o - 10 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*i + 675, -4*w + 5*i - 936 + 36 = 0. Let s = 273 + w. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 72*r - 90. Calculate z(32).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.71456 to one decimal place.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*g + 4*g - 607, -g + 153 = -2*o. Suppose 5*h = 5*w + 815, 0*w - 3*w = h - g. Calculate the highest common factor of h and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -334*c - 1263. Does 67 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 158*k**3 - 170*k**3 + 5*k + 5 + 6*k + 0*k. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3)\/c**(-1\/7))**(2\/73) assuming c is positive.\nAnswer: c**(-50\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8410, -13858, -19292, -24706, -30094, -35450, -40768?\n\"Answer: z**3 + z**2 - 5458*z - 2954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 123, -41285, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87519063 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69576127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*g + 273 = -284 + 579, g = -6*z - 4 - 29 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2220 * 2.9.\nAnswer: 6438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2269?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/90 - 5*k**4\/3 - 124*k**3\/9 + 558*k**2. Factor b(o).\nAnswer: 2*(o - 62)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -90, -170, -306, -516, -818, -1230?\n\"Answer: -3*t**3 - t**2 - 18*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Suppose b - 1 = u. Solve 0 = -p + d - 1, 0 = -6*p + p - u*d + 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -14. Let v = t + -23. Put v, -2\/13, -0.12 in descending order.\nAnswer: -0.12, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 9*c + 2. Calculate the least common multiple of 5 and s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097946535 rounded to three dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 38994.\nAnswer: -110\/19497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is bd0d (base 14) in base 12?\nAnswer: 16b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1*(-8)\/(-76) + (-3696)\/(-627))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from blbblll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:12 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8135599 is divided by 343?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46262028767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 0.24\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 4901, 10870, 19187, 29852?\nAnswer: 42865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -44.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566\/5 + -548\/5. Find m, given that 3\/5*m**3 - 24\/5 - q*m**2 + 36\/5*m = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225000405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (27\/12)\/((-1)\/(-88))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 2371\/23. Let g = 0.1291 - 0.0891. Which is the third biggest value? (a) g (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345*z**2 - 577*z?\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391350000 rounded to the nearest one million?\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.5 (b) -0.03 (c) -5.0308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -267064.\nAnswer: -3\/66766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4*n**2 + 31. Let r be 18\/(-9)*(-14)\/4. Let v(q) = -r*q + 2*q + 3*q. Give v(t(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 39 = -97. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(30\/12 + 0). Put -7, 0.2, i in ascending order.\nAnswer: -7, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24642, -0.01, -0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4957*n - 33852 = 4918*n. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229630247 is divided by 470?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(3\/(12\/(-8))). Let c be 4\/12*15 - 3. Let n(f) = 5*f**2 - 8*f**2 + c*f**y - f + 1. Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32204411*t**2 + 80792480?\nAnswer: -64408822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91608169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 21698, -4, -75 in increasing order.\nAnswer: -75, -4, 21698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31332976147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mckcj. Give prob of picking 1 c and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 596832325 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 - 72 = -2*j. Suppose -j = -6*q + 7*q. Let f = q - -372. List the prime factors of f.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 14*m = 0. Factor 2\/9*y - 2\/9*y**2 + m.\nAnswer: -2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3*z**3 + 11549*k**3*z - 255*k**2*z**3 wrt z?\nAnswer: 24*k**3*z - 1530*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.45?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -824 + 428 - 2*q**2 + q**2 + 407 + 12*q. Calculate m(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48662 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 152*v - 1660. Determine q(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/33 and 22\/1197.\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:36 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:24 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = 53*w - 126 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + 10*m - m + 1216 - 13*m - 4088 in the form g*m + i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/15)*a\/a**30*a*(a\/a**16)**(-26\/3) assuming a is positive.\nAnswer: a**(1531\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 greater than or equal to 28524\/679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2821, -2933, -3043, -3139, -3209?\nAnswer: -3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**3*k*k*k**4)\/(k**(-1\/5)*k**(-3\/8)))\/(k*k\/(k*k**(2\/3))*k*k**(4\/5)*(k**3\/k)\/(k*k**(-3)\/k)) assuming k is positive.\nAnswer: k**(-67\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2. Suppose 11*d - 58 = -18*d. Let i(s) be the third derivative of 0*s + 0*s**4 + 5*s**d + 0 - 1\/60*s**5 + 0*s**3. Calculate i(z(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3527 * 484\nAnswer: -1707068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let m = -2 + 3. Calculate the greatest common factor of m and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -63. Let t be 28 - (-1 - (1 - o)). Calculate the highest common divisor of t and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 - p**5\/60 + 381*p**3\/2 + 9*p**2. Let k be i(0). Let v be (-2)\/(-9) + k\/324. Which is greater: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w**2 - 1677*w + 1447. What is n(72)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277997 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-21))\/(-17 + (-1520)\/1260*(-27)\/2)?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 + -6031826040?\nAnswer: -6031826039.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/10*(5508\/(-63))\/17.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + (-31 - (-1 + -31)) + 7 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11092042151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -d + 20 + 28, -240 = -5*d + 2*x. Let r be (-30)\/(-4)*32\/d. Solve -3*m + r = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 10170864126?\nAnswer: 10170864126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 + 2*d + 4. Let s be z(3). Let o = -12 + s. What is the hundreds digit of (o\/(-6))\/(11\/4818)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -531*g + 8510. Give y(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 2389138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.7 + -11.7. Which is the smallest value? (a) -0.6 (b) 2 (c) -3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 48.5, -0.3, 5, 3\/2 in decreasing order.\nAnswer: 48.5, 5, 3\/2, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2. Let y(x) be the first derivative of 10*x**2 - 105. Calculate o(y(t)).\nAnswer: -1600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let y(r) = -2*r + 8*r - w*r + 3*r + 1 - r**2. What is y(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 k when four letters picked without replacement from bbtrkbbtkbbktttbytb?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2467556.\nAnswer: 2, 7, 13, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 16\/(16\/4). Let o(l) = -1 - 5 - 39*l + g. Is o(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 102. Suppose -48 + n = y. Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i**2 - 4*i + 6. Determine x(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 9*i**2 - 14*i + 6. What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99234488 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -13341?\nAnswer: 13430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -99 + 31. What is the remainder when p + -2 + -2 + 6 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/(-546) + 18\/(-117).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Let q be ((-350)\/(-7))\/(r\/59). Suppose -18*h - q = -23*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628 greater than 2375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from usoosudddspuoosol?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112224381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65895 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (5 + -1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -823f36 (base 16) in base 12?\nAnswer: -2a3789a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158999 is divided by 2064?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 - 1036*g**4 - 48844*g**3 + 1873100*g**2 - 3595504*g + 1772288 = 0.\nAnswer: -172, -112, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 60*k + 228. Let v(s) = -2*s + 2. Let a(f) = -l(f) + 4*v(f). What is the units digit of a(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/200*(-45)\/12)\/(15\/(-20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*(-72)\/(-27). Let u be 14\/4 - p\/8. Solve -u*n + 15 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*x + 11. Let h be x\/2 - -129*1\/(-78). Let g be (-10)\/16*(-9)\/15. Which is the second biggest value? (a) g (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -34*z. Let b(w) = -1519*w - 80. What is c(b(o))?\nAnswer: 51646*o + 2720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 - 10*z**2 - 7*z + 3. Is g(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 47*q**3 - 33*q**2 + 1863*q - 6 wrt q?\nAnswer: -12*q**2 + 282*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 4\/5, 1\/4, 0.0512, 4?\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -4)\/(24\/972). Suppose -16 = t*q - 89*q. What is o in -5*o**q + 1\/4 + 1\/4*o = 0?\nAnswer: -1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, 1\/6, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*h + 87 + 40, 28 = a + 40*h - 37*h for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2\/1*33\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l**2 - 64*l**2 + 21*l**2. Let s be 9\/(-3) - -56*3. Let g(c) = -s*c + 165*c - 2*c**2. Calculate g(a(j)).\nAnswer: -1058*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*j + 1, 3*t + j - 6 = -8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 91*h**3 + 3*h + 19. Is k(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43079*c**2 + 43121*c**2 - 86208*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -656 + 650. Let z(u) = 15*u + 90. Determine z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 133*j**2 - j - 2. Let q be r(-1). Let m = 118 - -40. Suppose 5*c = q + m. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/888 and 71\/48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -145a4 (base 11) in base 8?\nAnswer: -50314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 31*d**2 + 10*d.\nAnswer: d*(d - 10)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1311638, -2623245, -3934852, -5246459, -6558066?\n\"Answer: -1311607*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55817294 and 8313214.\nAnswer: 390721058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47291599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 59, 8 in descending order.\nAnswer: 59, 15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -2.06. Let w be (-1)\/(-1) - (2 + -1). Let u(h) = -h + 2. Let y be u(4). Which is the nearest to y? (a) l (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 947672.82 to the nearest 100.\nAnswer: 947700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.511923 litres in millilitres?\nAnswer: 8511.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*a - o + 178, 4*o = 3*a - 557. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39176058 != -39176052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 242 = 7*q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 19. Let l = 17 - 6. Let v be t(l). Let a(d) = 2*d**2 - 6*d + 2. Let m be a(4). Solve -o - m = -v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13653657 and 21.\nAnswer: 95575599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 4*v**2 - v**3 + 16*v**2 - 5*v + 13*v**2 - 3*v**3 in the form s + c*v**2 + x*v + j*v**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**6\/27 + 17*w**5\/90 - w**4\/9 + 77*w + 38. Let s(p) be the first derivative of a(p). Determine g so that s(g) = 0.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -13*g + 179, -16615*g + 16617*g - 146 = 5*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*m + 188*m = 63 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 302425 and -1?\nAnswer: -302425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 91. Let n(u) be the second derivative of -u**4\/12 - u**3\/3 + u**2 + u. Let w(q) be the first derivative of n(q). Give w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - ((1 - -13) + -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64712129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 201.9. Let a = -0.0367 + -34.2633. Is a not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*d = 21, -2*j - 3*j - 2*d - 36 = 0. Let s be (-3)\/(-12)*4 - -22. Let c = s + j. Solve 4*a - c + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211210 - 212?\nAnswer: 210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 5*c - 3. Let h(x) = -10*x - 4. Let t be h(-4). Let i be (6\/2)\/(27\/t). What is r(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 3069 = 5*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 964 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*n - 1 = 338*n + 2*l, 5*n = -3*l + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1717 = -17*y + 22*y, 349 = y + 3*l. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5*d**2 + 4. Let x be b(5). Solve -x*g - 4*y = 0, y + 4*y = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55130, 55179, 55224, 55265, 55302?\nAnswer: 55335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 33. Suppose -3 = -2*q - 5*z + 10, 2*q - p = z. Suppose 0 = -2*r - q*k + 24, -r = 4*k - 31 + 9. Solve -2 = -r*g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1572146776 + 10.\nAnswer: -1572146766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (5 - 8 - -10) + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*c - 110 = -446*c + 4936 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k. Let t = 2 - -1. Let y(u) = u**2 - 2*u**2 + t*u**2. Determine y(h(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -159*a**3 - 4*a**2 - 11*a - 4. Is i(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19345*a**2 - 15113?\nAnswer: 38690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21194*n**2 + 0*n**3 - 42390*n**2 + 21196*n**2 - 12*n**3 + 3*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4125.694um to centimeters.\nAnswer: 0.4125694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125.72 or 0?\nAnswer: 125.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/11)*f*f**(2\/13) assuming f is positive.\nAnswer: f**(191\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3271 and 5869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -19.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 2*c + 2. Let i(p) be the second derivative of -5*p**4\/12 + p**3\/2 - 3*p**2\/2 - 21*p. Give 4*i(s) + 6*q(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 9*i = 2040. What is the greatest common factor of 285 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172.29 + -175. Let n = v + -0.29. Which is smaller: n or 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((80\/4)\/120).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 19, 2, -265, 3 in ascending order.\nAnswer: -265, -4, 0.2, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22566 is divided by 3760.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -18670 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57b (base 15) to base 6.\nAnswer: -5425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19053708 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*g - 134, -3*g + 3*c - 143 = -14. Let a = 193\/4 + g. What is the third smallest value in a, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = -3*z - 2*v, 0 = -5*z + 5*v + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 41417*f - 8241988. Determine k(199).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 - 436 = -18*b. Calculate the remainder when 122 is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.04 + 23.04. What is the biggest value in 19\/3, b, 2\/25?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 + 0.09. Let s = 50.86 - x. Let c = -50.031 + s. What is c rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2227 + -2228. Which is the nearest to o? (a) 2.3 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 15377*c + 30753. Let w be g(-2). Solve -1\/4*a**4 - 7 + 9\/4*a**w - 45\/4*a - 7\/4*a**2 = 0.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1 - 0)\/3. Let b(v) = -v**2 + 2*v + 1. Let w be b(k). What is the greatest common divisor of 8 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhyhy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 43 - 19 = 19. Let v(w) = -3*w**3 + 6*w**2 + 7*w + 6. Let a(c) = -c**3 + c**2 + 1. Determine h*v(q) - 6*a(q).\nAnswer: 3*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 201*s**3 - 4 + 200*s**3 - 2*s**4 to t + n*s + a*s**2 + r*s**3 + m*s**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3\/69) + (886391\/(-7015) - -137)\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -1\/8 (b) -9 (c) 1250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1674, -1, -299.\nAnswer: -1674, -299, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-308)*14\/(-4). Which is the second biggest value? (a) 2 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 4*z, -z - 8 = l - 3*l. Suppose -3*t + 18 = -z*t. Suppose -2*a + t*a = 52. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126920388 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 0. Suppose -12 = 2*l + a*l. Let m be 0 - 2\/l - 1. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 4*y - 182 + 138, 0 = 3*g - 7*y - 21 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20107879 divided by -13151\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/10 + 7*a**4\/12 - 2*a**3\/3 + 2*a**2 + 2*a + 27. Let t be i(3). Solve 5*k - t = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351007773?\nAnswer: 41, 57341653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.047843 or 1002?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2222, 2224, 2226, 2228, 2230?\n\"Answer: 2*l + 2220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 25. Is t(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*-6 - -2. Suppose -4*g + 5*s + 631 = 0, 4*g - 601 = -6*s + s. Let m = g - 150. Solve d + 5*q + 25 = 0, -m*d = 3*q + r + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -671.653 (c) 0.1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149369.319s in days?\nAnswer: 1.7288115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 23 = 4*q, 2*o = -4*q + 26. Suppose i + q = g - 3*i, -5*i - 22 = g. Let f(j) = 4*j**2 + 13*j + 22. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + u + u)*(-727*u + 2948*u + 4519*u)*(3*u**2 - 2*u**2 + 2*u**2) as t*u + j*u**4 + i*u**3 + y*u**2 + k and give j.\nAnswer: 40440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y**3 - 166*y**3 - 173*y**3.\nAnswer: -401*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70716261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/5 - 132*y**4 - 8460*y**3 - 132000*y**2 - 600000*y = 0. Calculate y.\nAnswer: -100, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331159 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 7*d**2 - 11*d**2 + 1. Let w be x(-1). Suppose 0*m + 8 = w*m. Solve -4*k + m = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57358.06 kilograms in nanograms?\nAnswer: 57358060000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (16 + -19) - -32.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 305. What is the hundreds digit of o(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.52*-83.1011.\nAnswer: -126.313672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -4*g**3\/3 - 191. Let t(o) = 70*o**2. Give t(j(f)).\nAnswer: 1120*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(1\/(-4)). Let v = 1703 - 1702.7. What is the third biggest value in v, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 170. Suppose -3*k + 14 = -3*d - 31, -5*k - 2*d + 96 = 0. What is the remainder when l is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 37*l**4\/3 - 8736*l. Let x(n) = 51*n. Determine x(q(i)).\nAnswer: 7548*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/(-190))\/((-7)\/420). Is -8 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -116. Suppose 2 = 5*t - 3. Put 0, t, -3, v in descending order.\nAnswer: v, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185618 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1677127 tonnes?\nAnswer: 167.7127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8388187.\nAnswer: 8388187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6715 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 38 + 10. Let d = 86\/5 + -17. What is the third smallest value in -0.4, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15784.\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 317 = 6*n. Let j = n - -58. Calculate the highest common factor of 77 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132))\/sqrt(11) - sqrt(192)*-1)\/(-2*sqrt(32)\/sqrt(2)*6).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694*x + 6458262 = 441*x + 359*x. What is the ten thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/((-496)\/(-558))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559823 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30130\/(-5502)*54\/(-414).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.071 + 1.929. Let h = -24 + 21. Sort h, d, 1 in descending order.\nAnswer: d, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1675 + -1389. Calculate the highest common factor of c and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 9, 28, 55?\n\"Answer: 4*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 2 = 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268472 and 3200944?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1810*f. Let d(p) = -123*p - 26. Let b(o) = 38*o + 8. Let v(m) = -26*b(m) - 8*d(m). What is c(v(n))?\nAnswer: 7240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -25*s**3 - s**2 + 5*s - 6. Let n be l(2). Let m be (12\/10)\/(15\/n*-2). Solve -d = d + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*(u**2 + 2*u**2 - 2*u**2) - 5*u**2 - 341503*u**3 + 170754*u**3 - 3*u - 2 + 170747*u**3.\nAnswer: -3*u**3 - 5*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 366*k - 6 = 364*k, -2*x + 3*k = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9.9 (b) -0.5 (c) 0.27 (d) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4175307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 31*t**2 + 33*t - 144. What is w(32)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.164483 litres?\nAnswer: 9164.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1742286316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgeeebeeebeebbgeeb. Give prob of sequence eg.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 7*b + 2596 = 4*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*s - 228*s - 167 - 143 = 0. Let l(z) = z + 7. Let w(u) = 2*u + 15. Calculate s*l(o) + 2*w(o).\nAnswer: -o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Solve -9 = l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2809725 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 28 + 297 = 2*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:54 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**2 - 14*t + 2*t**2 + 3*t**2 as l*t + s + q*t**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8705 is divided by 76.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/v**(-2\/3))))\/v)**(3\/31)*(v**(-3\/5)\/v)\/v**1)\/(v**(-2\/3)\/v*v\/(v\/v**(3\/7))*v)**(10\/9) assuming v is positive.\nAnswer: v**(-66527\/29295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l**7\/35 + l**4\/24 + 8*l**2 - 1. Let x(f) be the second derivative of z(f). What is the second derivative of x(o) wrt o?\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/25093?\nAnswer: 2\/25093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + (-21)\/(-45). Let t = 10877 - 10875. What is the nearest to c in 0.3, -10, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5808 + 13292*b**4 + 72*b**3 - 1382*b - 13288*b**4 + 84*b**2 - 1610*b = 0?\nAnswer: -11, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.2688 minutes to nanoseconds.\nAnswer: 44116128000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -26\/3, 0.06, 3 in decreasing order.\nAnswer: 3, 0.06, -3\/4, -26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21241666 (base 7) to base 5\nAnswer: 430334023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*k - 6, -5*a + k = -1 - 14. Let h(u) = 3*u + a*u**2 + 26*u**2 + 3 - 6 - 7*u. Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:40 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.974, -0.1, -2.\nAnswer: -2, -0.974, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35 - 12 + 6 + 5*v**2 wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 z, and 1 k when four letters picked without replacement from {k: 1, e: 5, u: 1, t: 2, z: 1, q: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a century in months?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2802323, -11209233, -25220749, -44836871?\nAnswer: -70057599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {c: 2, m: 14, r: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g - r, 9*g - 14*g = 4*r - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1702910 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 99359?\nAnswer: 993590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8187000379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575) - sqrt(1575)*1)\/(1*sqrt(144)) + (sqrt(5082)*3 - sqrt(5082))\/(sqrt(384) + 2*sqrt(384)).\nAnswer: 11*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 0.8 (b) -4 (c) -1.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)\/o*o*o**10*o**(24\/11)\/o**(2\/7) assuming o is positive.\nAnswer: o**(-316\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*-6*(sqrt(17) + 1) + 2*sqrt(34)\/sqrt(2) + 2.\nAnswer: 6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -12. Find the third derivative of 0*y**2 - 2*y**b + y**2 - 3*y**2 - 2*y**3 wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrorro.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43342725 to the power of 1\/2, to the nearest integer?\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312889 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 5*p - 50. Determine o(-12).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816211 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 551501 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -8\/23 (c) -5 (d) -0.5 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(40)\/sqrt(8)).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(sqrt(2744) + (2*sqrt(2744) - sqrt(2744))))\/(sqrt(72)*-5 + sqrt(8) - 3*sqrt(128))*5)**2.\nAnswer: 8575\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375 + 1587 + 5*g - 412 - 373 - 2*g - 369.\nAnswer: 3*g + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)\/h*(h\/h**(-6))\/h)\/(h**0)**(-19\/2)*((h\/(h\/(h*h\/(h**(-2)*h)*h)*h*h*h)*h*h*h)**(1\/23))**(-7) assuming h is positive.\nAnswer: h**(747\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**3*p**2 - 69*h**3*p + 66*h**2*p**3 - 5*h**2*p wrt p?\nAnswer: 18*h**3 + 396*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17302 and 1066.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6090 and 203.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2299) + (sqrt(2299) - sqrt(2299)*1))**2 + sqrt(19)).\nAnswer: 5*sqrt(19) + 11495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -538 + 542. Sort 7, -16, b in descending order.\nAnswer: 7, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 4. Let r(h) = -224*h + 1572. Let o be r(7). Solve o*b - n*b - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216471768.\nAnswer: 2, 3, 23, 392159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**3 + l**2 + 6*l + 4. Let w be v(-4). Let a = -486 - w. Round a to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:54 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 4. Let p(r) be the third derivative of 0*r**w + 0*r + 0*r**3 - r**2 + 1\/40*r**5 + 0 + 1\/140*r**7 + 1\/40*r**6. Factor p(g).\nAnswer: 3*g**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.2 + -5. Let w = o - -4.8. Let g = -17.9 - -17.6. Sort -3, w, g in increasing order.\nAnswer: -3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6354602 - 6354442 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 41 - 25 + 7*a - 10*a.\nAnswer: 6*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/5 - -41 - 4. Let r = 42 - p. Suppose r*v - 5*v + 2*h = -39, 5*v = -4*h + 195. What is the smallest common multiple of v and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 7286*r**3 - 444044*r**2 = 0 for r.\nAnswer: -3581, -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -254 - -257. Solve -2*z = 2*y, 0 = -2*z + l*y - y - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptttppptttt. What is prob of sequence tt?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 + 9*v - 2. Let t(p) = -12*p**2 - 4*p + 1. Let w(r) = -4*q(r) - 9*t(r). Let o(d) = -7*d**2 - 22. Give w(o(f)).\nAnswer: 1176*f**4 + 7392*f**2 + 11615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 1101111110010100?\nAnswer: -1101111110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3)*(-1 + 3). Let p be (-2)\/3 - (-371)\/3. Suppose q*x - p = -5*d, -x + 90 + 9 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -33 - 2\/15*a**3 + 8\/5*a + 0*a**2. What is u in c(u) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(24)\/sqrt(3)) + (((sqrt(5) - sqrt(20))*-1)**2 - sqrt(5)) + sqrt(5) + -5.\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312323 (base 4) in base 10?\nAnswer: 19899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 2*v**2 + v + 4. Let q be y(3). Suppose -32 = 16*j - 0*j. Let f be 1\/(1\/(-2)) - j. Solve 11 = 3*p - 4*z, -3*p + q = -f*p + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 258*x - 3714 = 2985 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/900 + u**5\/150 + 7*u**3\/6 - 11*u**2. Let v(p) be the first derivative of f(p). What is y in v(y) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 + -0.6. Let o = -2.1 + 2.07. Let i = u - o. Which is the second smallest value? (a) -4\/3 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -0.1247.\nAnswer: 0.19952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -2\/7 (c) 18434.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38249*s**3 + 142089*s?\nAnswer: -229494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (56 - 26) + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {e: 2, b: 5, g: 10, v: 3}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2366*l = 2391*l + 175 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105 - 6 - 32) + -2 + -8?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 11*f + 301 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 9 = -199. Suppose -4*b - 91 + 923 = 0. Calculate the greatest common factor of b and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a - 26 = 5*m - 55*a, 0 = -5*a + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 3 = -4*z - 2*k + 35. Solve 0 = -4*o - t - 12, -1 + z = -3*o - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*i - 3983 = -33580 - 52843 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562681 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(2736) + sqrt(2736)*3 + sqrt(2736))*1 + (sqrt(2736) - (-2*sqrt(2736)*3)**2) + -3.\nAnswer: -98496 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*a = -5*j + 1130, 3*a - 290 = 3*j - 287 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*o**3 + 257 wrt o?\nAnswer: -255*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, d: 5}. What is prob of sequence dwww?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104519.98512 less than -1?\nAnswer: -104520.98512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*v = -343*v - 31599. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*1*60\/(-1596)*7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + -1 + 1 + 2. Let z(u) = -1. Let q(c) = -5*c + 11. Let b(v) = q(v) + 5*z(v). Let i(s) = -4*s + 5. Calculate p*i(n) + 5*b(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -55564.\nAnswer: 55564.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -47*d + 29\/2*d**2 + 9*d**3 + 0. Find the first derivative of k(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from fiifhiffhafffqaaoff?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/6))**47*r**(5\/2)*r*r*r**10 assuming r is positive.\nAnswer: r**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 538389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 24*w - 223. Let x = -278 + 253. What is the hundreds digit of a(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 402, 592, 786, 984?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 3}. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27265\/(-3075) - (-1 - -1*17\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i - 3. Let u be q(-4). Solve -u*v - 4*g - 8 = 0, -v + g = 2*g + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + n**2 - 1. Let z be t(2). Let g be (-16)\/z + -6 + 3. What is the biggest value in -2, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(1\/7))**18*((v**2*v)**(11\/2))**(-35) assuming v is positive.\nAnswer: v**(-40353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 1104 = -55*m - 206*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1151 - -1110) + (-502)\/(-12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/5)*b)\/b*b)**(3\/2)\/(((b\/b**(4\/7))\/b)\/b)**(-26))**(5\/4) assuming b is positive.\nAnswer: b**(-2797\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354414424 - -4?\nAnswer: -354414420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(567) + 1 + 4 + 2)**2*-5).\nAnswer: 2520*sqrt(7) + 12340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knn when three letters picked without replacement from nknnnknkkkkkn?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-135)*3\/(-9)*-9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -394, -772, -1138, -1492?\n\"Answer: 6*o**2 - 396*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1654, 2916, 4106, 5224, 6270?\nAnswer: 7244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:11 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623258 divided by 70?\nAnswer: 2311629\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -3, 20, 59?\n\"Answer: 8*z**2 - 17*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = -6*b. Let f be -6*(b\/(-9))\/(-1). Suppose 2*l = 6*l + 2*h, 2*l + 2*h + 2 = 0. Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 20090*a - 20266*a - 642 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 - 1700*a**2 + 111886*a + 113588 = 0.\nAnswer: -1, 73, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*j + 6, -52*b = -50*b + 2*j - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/6 + 395*b - 32175\/2.\nAnswer: -5*(b - 429)*(b - 45)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4287623*f - 4287623*f + 2*f**3 + 1 - 1.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-10) - 3\/(-3). Let y = -35 + -60. Let n = y - -1047\/11. What is the nearest to n in -3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43055201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((136\/48)\/(-17))\/((3\/27)\/((-48)\/(-3024)))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -10. Suppose v = 2*v - 16. What is the remainder when v is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-347*o**3 - 493 + 493)*(-4 + 3 + 4 - o) in the form x + t*o + n*o**2 + u*o**3 + l*o**4 and give l.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + t - 9, -65*k + 67*k + 3 = -5*t. Let x = 0.03 - 0.53. What is the nearest to 0.3 in k, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -10. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35072981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 151 = -89. Let s be ((-4)\/l)\/(5\/(-190)). Which is the second biggest value? (a) s (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = a - 46. Let s(t) = t**3 - t. Let r(g) = 2*g**3 - 2*g**2 - g + 1. What is a*r(l) + 2*s(l)?\nAnswer: -2*l**3 + 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 + 456596*m + 2 + 5*m**3 + 6*m**2 - 456587*m. Let a(u) = -9*u**3 - 5*u**2 - 8*u - 2. Give 6*a(h) + 5*y(h).\nAnswer: -4*h**3 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.26 and 0.3?\nAnswer: -0.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -4 (b) 2 (c) 1 (d) 3\/212 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*3)\/(2*sqrt(200)))**2 + (sqrt(6) + sqrt(6) + (sqrt(6)*1*-3 - sqrt(6)))\/(sqrt(3) + (-3*sqrt(12))\/sqrt(4) + sqrt(3)).\nAnswer: 81\/50 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*u - 2*k - 2233, u = 5*k + 1122. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -72 - 7*z + 2*z - z - 5*z. What are the prime factors of l(-23)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*g + 11, -4*g - 5*r - 5 = -7*g. Suppose v - 37 + g = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2 - 3)) + -3 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -78. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -4. Let c = -15.5 + 16. What is the third biggest value in -5, c, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19044 and 26450.\nAnswer: 476100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5988994?\nAnswer: 5988992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 423 = -67. Suppose 3*o = -0*o + 21. Let u be o\/35 + 4\/q. Which is the second smallest value? (a) 0.4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + v - 127, 0*v - 5*v - 341 = 3*x. Let p = x + 122. Solve 0*c + 2*c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 59 = 3*t, -4*t - 15 = t. Let d = 15 + j. Suppose 3*h = -d*i + 10, -3*i = 5*h - 2 - 4. Solve -i*v + 0*v - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21043162 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*s = -2049*s - 1184*s + 130788 + 98276 for s.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.2734 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23334702 divided by 3?\nAnswer: -7778234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157628726, 315257448, 472886170, 630514892, 788143614, 945772336?\n\"Answer: 157628722*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 + 7 + 12 - 19 to the form w + h*y + r*y**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/7)\/n*n)\/n**1)\/(n**2\/(n\/n**(-3))))\/((n**(1\/4))**(-1\/40)*n\/n**(-3)*n\/(n\/n**(-4))) assuming n is positive.\nAnswer: n**(2567\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(6\/(-176)). Suppose -k = 2*o + 202. Calculate the least common multiple of o\/(-12) + (-1)\/4 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 12, 50, 104?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.9. Let s = 26 - 22.99. Let b = -0.01 + s. Is w at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 71443396\/(-10) - (-3)\/(15\/(-2)). Let b = -94340 - c. What is b rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.117 - 0.24. Let r = j + -0.407. Let a = r - -0.497. What is a rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (31 - (-1 - -25 - (12 + -4)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**2*y**3 - 24830*k**2*y + k*y**3 - 620*y**3 + 114 with respect to k.\nAnswer: -10*k*y**3 - 49660*k*y + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1356 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + (-2 - -1)) - 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1025.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2) + -1)*-2. Suppose -y = 2*y + 3, -3*f - 20 = a*y. Find the common denominator of 41\/4 and (-894)\/(-160) - (-2)\/f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.0425107ns in weeks?\nAnswer: 0.00000000000011746446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18284339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6686*r = -2*k - 6687*r + 9 - 4, 6*k + 76 = 4*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137778437*v**2 - 31135564*v wrt v?\nAnswer: -275556874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*u + 2 = 0, 15 = -45*u + 40*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1201 divided by -2339\nAnswer: 1201\/2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -541*j**2 - 785*j - 18. Let y(d) = -d - 5. Let t(f) = -i(f) + 4*y(f). What is the second derivative of t(k) wrt k?\nAnswer: 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 451.9 + -3.9. Let j = -450 + i. Which is smaller: -6\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8, 3*k = -8*s + 3*s + 10. Suppose 4*u - 5*y = 12, 0*u + 3*u - 9 = 4*y. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + 110. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306085 + -2139146\/7. Let y = -493 + w. What is the second smallest value in y, 12.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - 320. Let q = n + 212. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 184747*w - 3824. Let z(a) = -483*a + 10. Give 5*v(g) + 1912*z(g).\nAnswer: 239*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 67*i**2. Let z(k) be the second derivative of -5*k**4\/12 + 97*k + 2. What is l(z(p))?\nAnswer: 1675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:52 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4732\/459 + -157\/17. What is the common denominator of -7\/9 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -14, 1\/7 in descending order.\nAnswer: 1\/7, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 42 = -5*q. Let c(b) = 2*b + 6. Let x be c(-3). Suppose x = -u + 6. Calculate the remainder when q is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lblf when four letters picked without replacement from fnbnllnnni.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192596 and 7387?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**2 + 2*n + 2. Let x(u) = 2*u**2 - 7*u - 28. Let a be x(6). Let p(q) = 29*q**2 - 9*q - 9. Give a*p(w) + 9*g(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f + 3*m, 2*f + 4 = -2*f + 4*m. Let b be 21\/4 + f\/(-4). Suppose -4 = y - 0, b*j = -3*y - 12. Is -0.1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102249 + -102236. Calculate the remainder when 549\/(-6)*(-2)\/3 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1267 and 1269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.75. Let m = f - 0.7. Let h = m + 0.05. Which is the second smallest value? (a) -2 (b) -2\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 78*l**2. Let v(f) = -5 + 6 + 2*f + 1738*f**2 - 1736*f**2. Let x(y) = -7*y**2 - 6*y - 3. Let w(h) = 3*v(h) + x(h). Determine w(s(q)).\nAnswer: -6084*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:13 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(23 + -17))\/((-1)\/(-662)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wojvwrj. Give prob of sequence rr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/3 + 13128188*k**2\/3 + 262564960*k\/3 + 1312826800\/3 = 0 for k.\nAnswer: -10, 3282067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*252\/(-5472)*8\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j - 839. Calculate the remainder when 94 is divided by t(64).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90985639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 6:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 5*l + 21, -1414*l = -q - 1433*l + 75 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 9. Let a = r - 19.2. What is the smallest value in a, -1\/3, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/2520 + i**6\/90 + 73*i**4\/24 - 8*i**2 + 4. Let t(x) be the second derivative of g(x). Let t(s) = 0. What is s?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 24. Calculate the remainder when 2409\/187 + 9 + 2\/17 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 8*g + 3. Let d be w(8). Let j = 4 - d. Factor -4*i - j + 2 + 4*i - i**2.\nAnswer: -(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12 (b) 0.3 (c) 0.5 (d) 3\/422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y**3 + 2*y**2 - 1. Suppose -12 = -9*g + 8*g. Suppose 3*i = -3*n - 3 - g, 4*n = -2*i - 18. What is the remainder when 21 is divided by q(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, 83*r = -a + 88*r + 131. What is the lowest common multiple of 6 and a?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1566056, 1566051, 1566034, 1565999, 1565940?\n\"Answer: -s**3 + 2*s + 1566055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y**2 + 29*y**2 + 41*y**2 + 38*y**2 + 141*y.\nAnswer: y**2 + 141*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -209. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 6080.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 15*q - 17. Give f(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u - 1515 = 5*i, 5 = -i. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968.063 centuries in decades?\nAnswer: 39680.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n. Let b(j) = -178600*j. Determine b(l(x)).\nAnswer: -4107800*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66729354 * -1\nAnswer: 66729354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7345 and 3137095?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d454184 + 0?\nAnswer: 9d454184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 - 12*m**2 + 0 - 8. Let b = 3 + -2. Let w(v) = -v**2 + 1. Let t be w(b). What is h(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 3.617?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 times -0.21\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/36)\/((-11)\/33)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 3.1. Let d = 74 + -73.932. Let w = d + -0.368. Which is the third biggest value? (a) -1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12353208 a multiple of 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + t + t**4 - 6*t**4 + 3*t**4 - 4*t**3 as z*t**2 + r + m*t**3 + q*t**4 + x*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -726, -1312, -2036, -2892, -3874?\nAnswer: -4976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21378*s**3 + 477*s**2 - 7805467.\nAnswer: -64134*s**2 + 954*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 - 196. Put 4, -5, r in descending order.\nAnswer: r, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/9240555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.9 - 13.1. Let g = a - -65. What is the nearest to -2 in -0.5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/4 in -540, 0.4, 0.1, -23\/10, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-19 - (4 + (-7 - 5)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363966570 and 72793314.\nAnswer: 363966570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7900 is divided by 3907?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cicicdjiddciicdi. What is prob of sequence jicd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 90\/7 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 9*(-2)\/1. Suppose 2*n - 7*n = -d. Is n less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 + x**2 + 0*x**2 + x**2 + 2*x**2 + (x + 2*x - 2*x)*(x + 0*x - 2*x) + (-x**2 - 11*x + 4*x + 2*x)*(-15 - 2 + 5).\nAnswer: 16*x**2 + 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33120231022 + -1102?\nAnswer: -33120232130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s. Let w(o) = 84*o**2. Give y(w(a)).\nAnswer: -336*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 4\/((-16)\/52). Let k = -12 + m. Suppose -k*v - 3*v = -80. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 24*z + 10. What is j(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*o - 6 = o, 3*o = 5*s - 13. Suppose s*h - 219 = -h. Suppose d + 26 = h. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6776) + (sqrt(6776) + -1*sqrt(6776) - sqrt(6776)) + sqrt(6776) + sqrt(168)\/(sqrt(3) - sqrt(12)))\/((4*sqrt(24)*-1)\/(-6*sqrt(6)\/sqrt(2))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-650)\/(-200) - 4*1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 1. Suppose -p + 4*w = -10, -4*w - 16 = 5*p - 42. Let l(x) = -x. Let d = -1 + 0. Calculate d*k(g) + p*l(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let m = -0.0644 - -52.6644. Let u = m - 55.6. Sort -2, g, u, -0.2 in ascending order.\nAnswer: u, -2, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245 - -269.2. Let m = w - 23.8. What is the fourth biggest value in -5, -1\/3, m, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378541993\/23 - -16455422. Let k = c - -2926. Let r = k + -185\/483. Calculate the common denominator of 16\/21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 42396 + 3935 = -5*g, -g + 5*f - 9272 = 0. Let h = -5258 - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 72. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 10. Suppose -3*n - 2*n = -x. What is the lowest common multiple of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15048*r - 2944 = -14920*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(180) - sqrt(180))*5*6 - -5*(2 + (-1 + sqrt(180) - sqrt(180)) - sqrt(180) - (-4 + (sqrt(180) - (sqrt(180) + -1)))))**2 + 0.\nAnswer: -1200*sqrt(5) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*-4*(3*sqrt(66) + sqrt(66)))\/(-3*(sqrt(864) - (sqrt(864)*-2*3 - sqrt(864) - sqrt(864)))).\nAnswer: -100*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8792164*0.2.\nAnswer: -1758432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*i**5 - 2380868*i**4 + 113947284*i**3\/5 - 244821724*i**2\/5 - 26069312*i - 3121920 = 0.\nAnswer: -2439, -8\/35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 7084 = 9*a. Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 17204*s - 537168 = 0. What is s?\nAnswer: -4332, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**2 - 9. Let r(s) = -s**2 - 7. Determine i(r(v)).\nAnswer: 16*v**4 + 224*v**2 + 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -980, 1\/2, 0.0603.\nAnswer: -980, 0.0603, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516951592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57966 (b) -14\/5 (c) 1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2\/5649, 0.08, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + (22 - 41).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -313*i + 971 - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.6 + 3.6. Let j = -21.4 - f. Which is the third biggest value? (a) j (b) 0.5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**10)\/g*g**(-6)*g**(-2\/17)\/g**31)**9 assuming g is positive.\nAnswer: g**(-4149\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -6*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by 4\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2}. Give prob of sequence wn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, -76, -2, 5.903?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/10 - l**4\/12 - l**3\/6 + 4*l**2. Let s be x(-1). Suppose 2*i + 1055 = s*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00589 >= 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let z(f) be the third derivative of 7*f**6\/120 + f**5\/60 + f**2. Let u be z(y). Solve 3*s - 3*j - 10 = -u*j, 6 = 4*s + 3*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4512105, -4512108, -4512111, -4512114, -4512117?\n\"Answer: -3*q - 4512102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 183\/12 + 2\/(-8). Suppose -2*c = c - g. Suppose 8*h = 3*h + 15. Sort c, h, 4.\nAnswer: h, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9580 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m - 13*m + 3*m - 5*m in the form b*m + n and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 13*k + 9 - k**2 + 13*k. Let r be (-7 + 4 - -2) + 21. Suppose -d + 4 = -5*i + i, 5*d - r = -5*i. Calculate w(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*h**3 + 29*h - 29*h)*(2 - 2*h - 2)*(-2*h + 5*h + 3*h).\nAnswer: 1068*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, 43, -89 in ascending order.\nAnswer: -89, -1, 0, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*i - 2 = r, 4*r + 3*i = 7. Suppose 3*q + y - 15 = -0, -2*q = y - 10. Let v be -2 + (-1)\/((-3)\/(-6)). Put v, q, r in descending order.\nAnswer: q, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(4 + sqrt(6)\/sqrt(3) + sqrt(2) - sqrt(2)) + 5))**2.\nAnswer: 2052*sqrt(2) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 - 1. Let h(x) be the second derivative of -2*x**5\/5 - 5*x**4\/12 - x**3\/6 + 5*x**2\/2 + 60*x. What is h(c) + 5*n(c)?\nAnswer: -3*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + 2.3. Let s be ((-1)\/3)\/((-2)\/4). What is the nearest to s in 0.2, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 11*l**4\/24 - l**3\/3 - 187*l**2. Calculate m(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 * -10160.\nAnswer: 447040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 528801*p\/2 + 93210165867\/4.\nAnswer: 3*(p + 176267)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Suppose n + f*n = 2. Let p be ((-8)\/(-10))\/(n\/5). Solve -p*a - 25 = -7*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15438.116 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8) + 112 + -37.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -3 (b) 0 (c) 0.4 (d) -38 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675*g = -1628*g + 3261*g - 1008 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 20*y + 92. Does 4 divide g(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12166 (base 9) to base 10\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 11*y - 56*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/19 - 2*d**2\/19 - 128*d\/19 + 128\/19.\nAnswer: 2*(d - 8)*(d - 1)*(d + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 354*b**3 + 713*b**3 - 356*b**3.\nAnswer: 3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-15)\/1 - (24 - 28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-58)\/(-87))\/(2\/2643). What is n rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/15)*h**(-11\/5)*(h**(-1\/21)*h)\/h**(-6))**(-10) assuming h is positive.\nAnswer: h**(-1180\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4826, -4789, -4766, -4763, -4786, -4841, -4934, -5071?\n\"Answer: -q**3 - q**2 + 47*q - 4871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456\/192 + (-7)\/168 - 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053925 less than 1776989202?\nAnswer: 1776989202.053925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) - (sqrt(95) + (sqrt(95) + sqrt(95)*-1)*5 - sqrt(95))) - sqrt(95)*1*6)\/(sqrt(60)\/(sqrt(432)*-3))*-2.\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-6)\/(-20) - -2. Let u = 75 - 93.3. Let j = -18.5 - u. Which is the closest to z? (a) j (b) 0.06 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -4*j - 27. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000270399406 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2 - 329*y - 1863. Let r(j) = 6*j**2 + 328*j + 1862. Let v(d) = 9*r(d) + 8*z(d). What is the first derivative of v(b) wrt b?\nAnswer: -4*b + 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22517675 to the power of 1\/2, to the nearest integer?\nAnswer: 4745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989066568 + -0.3?\nAnswer: 1989066567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 - (7 - 12). Suppose -2*j - 208 = -o*p - 0*j, 215 = 5*p + 5*j. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**33)**(-26) assuming j is positive.\nAnswer: j**(-884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c - 5. Let h(b) = -412*b - 3. Give h(d(p)).\nAnswer: 4532*p + 2057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 10028 = 421. Let j = r - 404. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -518, -528, -538, -548, -558, -568?\n\"Answer: -10*a - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*b + 2529 + 197, -m = -5*b - 698. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, e: 3, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*w - 0*w + 18, w - 10 = 3*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 27*t - 3. Let n be f(9). What is the closest to -152 in n, -2, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381262 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101011000011000000 - 10111?\nAnswer: -101101011000011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/19 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17657, -23318, -28979?\n\"Answer: -5661*x - 11996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/5 - g**4 + 4*g**3\/5 = 0 for g.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -276, -407, -524, -621, -692, -731, -732?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eop when three letters picked without replacement from {p: 7, e: 1, o: 12}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -61. Suppose -29*n = -f*n - 170. Solve 12*x = 7*x + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/1)\/(6\/(-129)). Suppose -x = -6*l + 2*l. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 8*p + 5. Let o(l) = l**2 - 1. Let g(k) = a(k) + 5*o(k). Find the second derivative of g(h) wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106 and 24?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611\/11 - 18\/99 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311843?\nAnswer: 7, 44549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/120332 and 97\/4002.\nAnswer: 240784332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*l**2 - 2233*l - 568554 with respect to l.\nAnswer: 324*l - 2233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(33) + -5*1*sqrt(33))\/(sqrt(147) - (sqrt(147) - 3*sqrt(147))).\nAnswer: -1 - 4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -900983 not equal to -900978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2\/3*d**3 - 185 - 42*d - 20*d**2. Determine g so that w(g) = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Let g be 30\/o + 6\/3. Calculate the remainder when 16 is divided by (-260)\/g + (-6)\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -80, -39, 18, 91?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fscsvhcfcmvc. Give prob of picking 1 m, 2 f, and 1 c.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -g - 0*v + 9, 3*v - 10 = 2*g. Let d = 2.98 + -2.68. What is the nearest to g in -5, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*10\/55 + 618\/(-1584) + 0. What is the nearest to i in 4, 1\/4, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171515328*t*w - 115960437*t wrt w.\nAnswer: 171515328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -32*a**3 + 4*a**2 - 9*a - 9. Let w(s) = 8*s**3 - s**2 + 2*s + 2. Let j(m) = -8*m**2 - 207*m + 24. Let o be j(-26). What is o*y(i) - 9*w(i)?\nAnswer: -8*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 + 3*h - 4. Let f be j(-5). Solve 11 = y - f*y + 2*w, 4*y = 3*w - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12484*-23\nAnswer: 2.87132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 not equal to 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 645184.\nAnswer: 645184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**4 - 19*k**4 + 2*k**4 - 2*k**4 - 3*k**4 + 4*k**4 + (3 - k**2 - 3)*(k**2 + k**2 - 4*k**2) - 2*k**4 + 0*k**4 + 3*k**4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cucu when four letters picked without replacement from {p: 1, c: 3, i: 1, u: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4101, -8164, -12191, -16182, -20137, -24056?\nAnswer: -27939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:11 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) 0 (c) -28\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489872*g**2 - 309*g + 61.\nAnswer: -979744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2065.29 * 86\nAnswer: -177614.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*j**2 - 184*j**2 - 3*j**3 - 1 + 397*j**2 - 6*j - 2*j**3 to the form w*j**2 + q + d*j + t*j**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/120 + x**5\/10 - x**4\/6 - 4*x**3\/3 + 125*x**2 - 1. Give u(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3\/3 + 3*i**2 - 2*i - 2. Let j(r) = -2*r + 10. Let v be j(8). Let q be s(v). Which is bigger: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 + -10. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 13*n**3 + n + 17*n**3 - 12*n**3 to the form t + y*n**2 + r*n + g*n**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 47 = 243. Let m = -31 - r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 5*k + 2 = -24*j, -3*k - 2 = -2*j. Which is the closest to j? (a) -7 (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 320 (c) 0.108 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/10)\/(((-47)\/(-2585))\/(123\/902)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Let a be (-57)\/(-21) - o\/(-14). Find the second derivative of -2*u**3 + 2*u + 4*u**3 - a*u wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 51\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136914 or -136910?\nAnswer: -136914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from ggzgnnlglllzzllggz.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**2 + 5*n**3 + 273 + 2*n + 11*n**2 - 3*n**3 + 17*n**2 + 7*n**2.\nAnswer: 2*n**3 + 3*n**2 + 2*n + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -1712 (c) 54 (d) -880 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*o = -j - 17, j - 5*o - 13 = 0. Let h be j\/(-3) + 123\/(-9). Let v = h + 14. Is v < -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165884 by -50.\nAnswer: -82942\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/((c*c**(-4\/9)*c)\/c))\/c)\/c)**(1\/20)\/(c**(-1\/6))**(-3\/14) assuming c is positive.\nAnswer: c**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*q - 98, 2*u - 4*q + 18 = 5*u. Suppose m - 12 = -g + 11, 4*m - 132 = 4*g. Calculate the highest common divisor of u and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 16*w**2 - w + 19. What is g(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 + 12*j - 33. Let g be i(-14). Is 2*g\/10 - -218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*i + 34, 5*y = -2*i + 31 + 1. Suppose -3*o = -f + 7, 4*o - 3*o - 3 = -5*f. Suppose g + i = 4*z - f, -4*z - 8 = 4*g. Which is bigger: 1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/20)\/((-6)\/(-2)))\/(1827\/168)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00259671397 to 7 decimal places.\nAnswer: 0.0025967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088*-0.0125.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16072)\/(-27552))\/(-91*(-4)\/8).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 5*n - 235. Let z(b) = -2*b**2 + 2*b + 118. What is -2*k(f) - 5*z(f)?\nAnswer: 4*f**2 - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.9054 times 0.13\nAnswer: 0.507702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.9 and 10349.\nAnswer: 10367.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 670 + 670 + 2*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s - 357 + 4581. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6839 is divided by 129.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*h = -0*m - 9, 4*h = -12. Solve -3*f - 6 = -m*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 147 = 3*a, 36*a - 3396 = 54*p + 14*p + 32*a for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17*q = 15*q + 2, 2 = -5*w + 4*q. Suppose -r - 3*r - 2*x + 22 = 0, -3*r = x - 17. Let n(y) = r*y - 4*y - 1 - y. Calculate n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6872046741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**4 - 16*u**3 - 22*u**2 + 42*u - 2. Let k(y) = -y**4 + 381 - 766 + 384 + y**3. Let l(z) = 2*k(z) - n(z). Suppose l(a) = 0. What is a?\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(37 - 10*t**3 - 37) + 2*t**2 + t**3 - 2*t**2 + 7*t**3 + t**3 - t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 7*n - 11*c = 124, -3*c = -3*n + 25 + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:10 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6777 divide 394132007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4 - 237558*p**3 + 1187746*p**2 - 712626*p - 2137932 = 0.\nAnswer: -1, 3, 118774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2598 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 239*a**3\/6 + 5523*a. Let w(l) = 21*l**2. Determine j(w(b)).\nAnswer: 5019*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*c**3 - 2622*c**2 + 68991*c + 148350 = 0. What is c?\nAnswer: -989\/5, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let s be q*1 - 7\/4. What is the nearest to s in 0.4, -0.2, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 - 7*s + 1. Let j be (1 - -6)\/(0 + -1). Let a be r(j). What is the highest common factor of 75 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 0*u - u + 4*u. Let q be d(-4). Suppose 2*j + q*w = 42, 2*j - w = j + 27. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8245223?\nAnswer: 7, 41, 28729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g + 14. Let w(t) = 4*t - 5. Suppose 3*o + b = 45, o - 61 = -4*o + 3*b. What is o*w(c) + 5*h(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/52)\/(1\/4). Suppose 0 = -y + x*y + 4*n - 18750, 5*n + 9368 = y. Is 4\/(-5) + y\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 13. Let v = n + 19. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 + u. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -66 - (-1 + (-1)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76 + 120*l**3 + 55*l**3 + 0 - 29 + 21 wrt l.\nAnswer: 525*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5245190 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4, 2 in decreasing order.\nAnswer: 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g - 1. Let m(q) = 4*q**2 + 11*q - 1. Let l(a) = i(a) - m(a). Factor l(p).\nAnswer: -5*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64741, -65462, -66203, -66970, -67769, -68606, -69487, -70418?\nAnswer: -71405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -198c58 (base 13) to base 16\nAnswer: -9e353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 4 - (-1242)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5901842*u + 18 - 21 + 406*u**3 - 5901837*u + (u - 4*u + 2*u)*(1 - 2*u**2 - 1) to the form k*u**2 + o*u**3 + n + s*u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + i**2 + 328*i + 981. Give p(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-117883)\/22 - -1) + 1. Let j = -5352 - u. Calculate the common denominator of (-87)\/(-2) + -2 + 3 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1078, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 212012 (base 3) to base 16\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:05 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -26. Let z = 8 - r. Let b = -44 - z. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135833933737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r - 0*r + 266. Calculate the remainder when 246 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-274)\/(-88) + (-2)\/40*-5.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ioioooit.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 31*v + 167. Let w be c(-18). Are -471\/7 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 46. Is (542 - (-1 - w))*(-11)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 132741558600 and -6.\nAnswer: 132741558594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 13. Let v = x - -9.00000016. Round v to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -152. Let l = -71 + o. Suppose -2*t + 3*n - 2*n + 381 = l, 2*t - 3*n = 387. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - -492497?\nAnswer: 492454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 35 = -7*u. Let n be 8\/(-16) - 29\/(-2). Put -4, u, n in ascending order.\nAnswer: u, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**4 + 3*o**2. Let s = -5 + 3. Let t(d) = -16*d**4 - 10*d**2. Let l(a) = s*t(a) - 7*j(a). Find the third derivative of l(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.13 in decreasing order.\nAnswer: 0.13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (15 - 9) - -39 - 134?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 37*n + 21. Let p be g(-17). Suppose 0 = 2*a - 2*x - p, 4*a - 132 = -x + 2*x. Calculate the greatest common divisor of a and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 19481*a**3 - 2*a**2 + 2*a + 5. Let q be o(5). Let r = q + -1035090. What is r rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-2)\/(i**(4\/3)\/(i**(-4\/5)\/i)) assuming i is positive.\nAnswer: i**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = 2*x, -5*x + 3*t - 7 = -29. Let n = -55600 + 55618. What is the greatest common divisor of x and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -22*h**2 + 27*h - 33. Let o(n) = 20*n**2 - 20*n + 35. Calculate 3*l(s) + 4*o(s).\nAnswer: 14*s**2 + s + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 166188397*q\/2 + 27618583297429609\/4.\nAnswer: (q - 166188397)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-1)\/10). Let n = -6 + 6. Suppose 0 = 2*s + 4*v - 12, -69 = -2*s - 5*v - 52. Which is the nearest to n? (a) s (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -118, -117, -116, -115, -114?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.018593cm to kilometers.\nAnswer: 0.00001018593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p**2 + 9*p + 7. Suppose 3*d - 371 = -377. Let j(s) = 10*s**2 - 4*s - 3. What is d*u(x) - 5*j(x)?\nAnswer: -8*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 26*k = 50. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 11 = -7. Let c = u - 6. Suppose -5*f - 15*x + 17*x - 72 = 0, -5*x + 12 = -2*f. Is f equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:21 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - (291 - (254 + -122))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111010 (base 2) to base 7.\nAnswer: -1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 224*o**3 - 3*o**2 - 10*o - 6. Determine s(-1).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxc when three letters picked without replacement from xpppxccpppp?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/108)\/(-4*3\/(-162))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 - 3456*z + 8957952 = 0. What is z?\nAnswer: 5184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -11030140?\nAnswer: 11030134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 14*h - 17. Let f be o(-12). Suppose -f*t = -8*t + 5. Find the third derivative of 3*l**5 + 2*l**5 - 5*l**2 + 4*l**5 + t*l**5 wrt l.\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-8 - -9)*(9 + 2) + 3 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146b3 (base 14) to base 5.\nAnswer: -3110400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32141 (base 6) in base 8?\nAnswer: 10435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14947 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154891660 minus 3?\nAnswer: 1154891657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92358373 divided by -569.\nAnswer: -162317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*b + 208*b - 840 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3551 and 149301.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/17299 + -32057\/14652253. Let j = v - -44911\/8470. Calculate the common denominator of j and 8\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 988267, 1976533, 2964799?\n\"Answer: 988266*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2\/2 - 3*w - 7. Does 7 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375726 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2631 divide 307609504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 12901 - 56011. Round d to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 4 = -12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.24953 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 6:11 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85872 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.01549 + 0.01911. Let y = f + -0.0096. Round y to 2 dps.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36184\/55 + -3274\/5. Calculate the common denominator of 59\/143 and m.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18997 at least as big as 18996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:58 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + z + (3 + 1 + 7)*(10*z - 685 + 685).\nAnswer: 111*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24624 by -8208.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1014 - -1850. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -30*o + 10. Let g(t) = -15*t + 4. Give 7*g(i) - 3*y(i).\nAnswer: -15*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898 + 49*n**2 - 55*n**2 + 898.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-662)\/(-2) - 1) + (-4 - -6). Let h = c - 185. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 564993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1179 + 1183. Let a(s) be the first derivative of -8*s + s**q + 10*s**2 + 9 - 16\/3*s**3. Factor a(z).\nAnswer: 4*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272381*p**5 + 3*p**2 + 17334*p.\nAnswer: 16342860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -124548 divided by 4?\nAnswer: -31137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 17*w - 144. Suppose a = 2*a + 3*p + 13, -12 = 4*a + 4*p. Suppose a*o = 6*o - w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1206*i**2 + 507*i + 9. Give j(-1).\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5117596?\nAnswer: 2, 11, 107, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99735 and 2289.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.285 - -0.015. Which is the nearest to -1? (a) -3\/2 (b) -11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82893*b*o*u**2 - 2*b*o*u + 29*o*u**2 - 2*o*u - 3*o + u**2 wrt b?\nAnswer: -82893*o*u**2 - 2*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*q + 416*q + 1768 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p + 1. Let i(v) = -12*v**2 + 15*v - 3. Let u(z) = -3*g(z) - i(z). What is the second derivative of u(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 - 3*l**3 - l**3)*(2*l - 2*l - 2*l) - 3*l**4 + 3*l**4 - 2*l**4)*(-22*l - 20*l + 43 + 40*l).\nAnswer: -4*l**5 + 86*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(21\/120))\/(-1). What are the prime factors of h\/(-3) - 4\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 5*i + 17*i)*(3*i**2 + 9*i**2 - 4*i**2 + (-2*i + 3*i + i)*(-3*i - 3*i + 5*i) + 6*i**2 + 2*i**2 - 4*i**2 + (-3*i + 0*i + 2*i)*(-i - i + 3*i)).\nAnswer: 216*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*430793.7\nAnswer: -43079.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*d**3 + 6*d**2 - 472?\nAnswer: 312*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*a + a = -12, -a = 2. Suppose -g - 17 = -2*f - 0*g, -u*g = -2. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, e: 4, f: 3}. Give prob of picking 3 f and 1 o.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7704*k - 323564. Give m(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20.738 * 3979\nAnswer: -82516.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 46. Let b be d(8). Does 29 divide b - (6 + -1) - (0 - 234)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + -100?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4357 divide 7231094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1745763520 to the nearest integer?\nAnswer: 41782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*a, -120*m + 138 = -116*m - a for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233264 - -1166321\/5. Suppose -4\/5*j + 1 - 6\/5*j**2 + 4\/5*j**3 + w*j**4 = 0. Calculate j.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeqeeeeee. Give prob of sequence qeeq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10*2)\/((-10)\/(-50))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 433?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 31*x**7\/42 + x**6\/15 + 2*x**4 + 2*x + 4. What is the third derivative of l(w) wrt w?\nAnswer: 1860*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 at least 4329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let k(a) be the third derivative of 11*a**4\/12 + a**2. Calculate h(k(y)).\nAnswer: -968*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 225?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 1610?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/3)\/w)**9\/((w**(1\/5)*w)\/(w\/((w*w**(1\/5))\/w))))\/(((w\/w**(4\/3))\/(w\/w**2*w))\/(w*w**(-3)*w\/(w*w*w\/w**(-5)))) assuming w is positive.\nAnswer: w**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65194690 to the power of 1\/2, to the nearest integer?\nAnswer: 8074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*o**6 + 4*o**5 - 42*o**2 + 8?\nAnswer: -22320*o**3 + 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 8 = 5*r, 0 = -3*w - 0 + 6 - 8 - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129022552?\nAnswer: 2, 37, 401, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6820 - 231877\/34. What is the biggest value in f, -6, -0.4, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 353 = 2*a - 369, 0 = -5*d - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33032 - -2?\nAnswer: 33100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 41834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11883 - 59626\/5. Suppose 0 = 5*l + 4*m + 22 + 193, 2*m = -2*l - 86. Let w = l - o. Which is the smallest value? (a) -0.4 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-864)\/120*(-775)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-2))\/(7*(-12)\/168)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 19.751885?\nAnswer: 19.751885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20999 - 8434. Suppose 4*s = 5*p - w, -3*p - 177 + 7716 = -s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104629252.\nAnswer: 2, 7, 13, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 7*o - 2. What is x(-6)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -665\/16, 13, 0.5, -5\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -981749.\nAnswer: 981754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22651 is divided by 7550.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.371 milligrams in micrograms?\nAnswer: 3371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*c - 742*c - 1 = -373*c + 4*m, 0 = -5*c + 2*m + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-39)*666\/(-888).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 19. Let v(q) = 2*q + 38. Give -11*u(l) + 6*v(l).\nAnswer: l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*k**2 + 3*k**3 + 16*k**2)*(-2 + 0 + 1) + 95*k**3 + 33*k**3 + 49*k**3 as y*k**3 + f*k + r + z*k**2 and give y.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -789?\nAnswer: -55.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 14*l + 12 = 3*d, 2*d + 5*l - 17 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10 - 66. Suppose 4*q - 174 = v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-3 + 2)*43. Let g be x\/(-10) - (-16)\/40. Suppose -g*t + 42 = o, -2*o - 16 = -3*t + 4. What is the remainder when t is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/3)\/d*d)\/d)\/d*d*d**5)**9 assuming d is positive.\nAnswer: d**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.00671 + 0.20671. What is the second smallest value in 4, -3, -22, 3\/8, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5248083534?\nAnswer: 2, 3, 29569, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:45 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, o: 2}. What is prob of picking 1 m and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 91. Let j be k(-9). Let p = -1324 + 1338.33. Let c = 0.33 - p. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18*q**2 + 18*q - 41. Let v be a(7). Suppose 15*n - v = 2258. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6815542230 a multiple of 14655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220379805 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, i: 1, w: 4}. Give prob of picking 3 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k**(2\/9)*k*k)**(1\/5) assuming k is positive.\nAnswer: k**(29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1 - ((-144)\/9 - 0). Solve r = 310*v - 305*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068996806 rounded to six dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 12. Let p = 2 + -7. Let j(m) = -m. Let t(n) = p*j(n) + c(n). List the prime factors of t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 3:31 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -53*y**3\/6 + 111*y**2\/2 + 2*y + 9. Is 12 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/23)*w*w*w\/w**1*w*(w*w\/w**3*w)\/(w\/(w\/(w*w**(2\/5)\/w))))\/((w**(1\/3))**25)**(4\/7) assuming w is positive.\nAnswer: w**(-2596\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15e9 (base 15) to base 8\nAnswer: -11157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -290. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - 25*x**3 - 55*x + 54*x + 28*x**3 - 103 + 103 + (-2 - 3 + 4)*(2*x**3 + 2*x**3 - 2*x**3).\nAnswer: 4*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + 2*u - 2. Suppose -5*j + 8 = -j. Let h be b(j). Let p(i) = -3*i**h + 9*i**2 + i**2. Let f(q) = -2*q**2. Determine f(p(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -616302 + 4?\nAnswer: -616265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -22. Let t(q) = -4*q**2 + 65*q + 44. Let s be t(17). Sort -4, i, s, -2 in descending order.\nAnswer: i, -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8445390 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/x**(1\/4)*x)\/x*x))**(-3\/19)*((x\/(x\/x**2))\/x)**(-2\/77) assuming x is positive.\nAnswer: x**(1465\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - 10) - ((-38 - -56) + 15)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*h + 904, -2*h + 2 - 10 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Suppose -k = -5*i + 12, -6*k = -3*k - i - 6. Let v be (-5)\/(-2)*2 - 2. Solve c + 18 = -2*l - v*c, k*c = -g*l - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -22, 54, 202, 446, 810?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/12 + a**2 - 2362*a. Let b(o) be the second derivative of o + 0*o**2 - 1\/6*o**4 + 0 + 0*o**3. Give d(b(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 9*b + 11 + 4)*(b**2 - b**3 - b**2).\nAnswer: 9*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3820675 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9399 + 11112 + 8873 - 5*w**2 - w + 2*w**2.\nAnswer: -3*w**2 - w + 29384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892 divided by 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86272 = -5*z - 3*n, -4*z + 0*z - 4*n = 69016. Let y = z - -27900. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290678.\nAnswer: 2, 3145339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.76 - -2.76. What is the biggest value in -0.1, 9, 0.5, m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 3*o - o)*(238 + 498 + 31 + 571 + 46)*(26 + 8*o - 26) to the form r*o**2 + k + h*o and give r.\nAnswer: -11072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 5 (b) 2\/25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166648?\nAnswer: 2, 37, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-56) - (42\/16)\/(805\/230)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3, 11, -135\/161 in descending order.\nAnswer: 11, 3, -1\/2, -135\/161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7774800 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 20. Suppose -h*g + 650 = -305. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 2)*(-3 + 1 + 1)*(3*z**2 - 4*z**2 + 3*z**2).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9f (base 16) to base 12.\nAnswer: -1a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -5029?\nAnswer: -502d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7579, 7578, 7577?\nAnswer: 7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 51, 75, 119, 189, 291, 431, 615?\n\"Answer: k**3 + k**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 8. Suppose -g = q*g + 930. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -987, -3357, -7977, -15597, -26967, -42837, -63957?\nAnswer: -91077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 1 + (-10 + 14 - 8) + -7 - -54.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 680497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-12))\/(32706\/(-632)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 22*m**2 - 45*m + 50. What are the prime factors of s(17)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-22)\/(-8)))\/(120\/(-5280)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -18 + 42. Let i(n) = -n**2 + 2*n + 1. Let c be i(5). Let p = g - c. Calculate the remainder when 15 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11529 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) + 1 + sqrt(832) + 2 - sqrt(832)).\nAnswer: 3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3))**19)**36 assuming u is positive.\nAnswer: u**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/3 + 2*i**2 - 17*i. Calculate c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 189 = 193. Let r(m) = 0*m**d - 2*m - 2*m + 1 + 6*m + 2*m**2 + 0*m**2 + 37*m**3. Give r(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-5\/8)*p))\/p**(-11\/2))\/(p*p**(-3))**(-3\/4) assuming p is positive.\nAnswer: p**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -0.06, -18, -3, 0.03, -10\/29?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*n + 3*a + 22, 0 = -4*n + 3*a + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/4 + (-27612)\/(-1872) + 0 + 22\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23735*b**2 + 314208?\nAnswer: -47470*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 386 and 13510.\nAnswer: 13510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/75022755 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - 6. Let g be k(-8). Let n be ((-1)\/(-322))\/((-4)\/(-16)). Let r = -1767\/322 - n. Is r at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3050 by 1.\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 2, q: 1}. What is prob of sequence dddq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5324 = 2*x - 5680, -5*l = x - 5489. Let g = x + -2699. Round g to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 6*k**2 - 17*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -125*(-2 + 0)\/(12\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1008) + -4 - sqrt(1008))*-2 + -2 + (sqrt(1008) - -1*sqrt(1008)*5 - (sqrt(1008) + -1 + -3)) + 1)**2.\nAnswer: 264*sqrt(7) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62 - -293?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - (-9)\/(378\/65444372). Round m to the nearest 10000.\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2213550644\/5 + 8088492\/5*k + 4\/5*k**3 + 9852\/5*k**2.\nAnswer: 4*(k + 821)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/24 - 7*y**3\/6 + 63*y**2\/2 + 44*y - 1. Let k(l) be the first derivative of j(l). Calculate k(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10238 - -19697. List the prime factors of z.\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -64 and -126038\/1951 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 41*a + 135 = 0. What is the lowest common multiple of a and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333421644 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyipjiiipyiy. What is prob of picking 1 i and 1 w?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13214414 (base 6) to base 5\nAnswer: 103002040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 147*t + 3971. Determine d(-23).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 5*b + (-4 - 1 + 4)*(-b + 10*b + 0*b))*(-3*b**3 + 22 - 22 - 21*b).\nAnswer: 24*b**4 + 168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 10675*r - 116988030.\nAnswer: 5*(r - 3886)*(r + 6021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/55 + (-702)\/(-15). Let h = -37 + a. What is the second derivative of 8*k**2 - h*k**2 + 9*k - 3*k**2 wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 30. Let t(y) = -y**3 + 9*y**2 + 23*y - 6. What are the prime factors of t(s)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 0.2, -1\/9, 4, 0.4 in ascending order.\nAnswer: -110, -1\/9, 0.2, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 8 (c) 0.4 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*j + 9, -2*j + 4 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 857*s**6\/15 + 601*s**3\/6 - s - 34. What is the second derivative of z(l) wrt l?\nAnswer: 20568*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-1)\/(30\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3519621 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(2\/160). Suppose 2*l - n = 6. Suppose -1 = -5*o + l. Solve -2*t = o*m - 5*t - 3, 4*m - 1 = t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 - 2 - (-20 + 16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (388\/1584 + (-6)\/22)\/(1\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 0 + (282\/42 - 2). Do i and 0.051 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4986.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.7, -0.97, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21020110 (base 4) to base 12\nAnswer: 19784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 3789615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4 - (-24)\/(-9)). Let s = 19 + d. Let w = -17 - s. Calculate the lowest common multiple of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p + 1 - 2*p**3 - 10 - 4 + 0*p**3. List the prime factors of f(-7).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 215, 1\/2, 2\/11, 1\/4, 599?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - 33*b + 37. Let q(l) = -l**2 - 8*l + 9. Let w(u) = -2*n(u) + 9*q(u). Let s be w(-7). Suppose s = -4*h + 8, -p = 3*p + h + 10. Is p > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 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: Simplify (((k**2)**(-1\/49)\/(k**(2\/3)*k**(-1\/10)))**18)**(-3\/20) assuming k is positive.\nAnswer: k**(8037\/4900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 725557745286 take away 3?\nAnswer: 725557745283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7346091 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2515, 3, 198 in descending order.\nAnswer: 198, 3, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + -20. Let j be (-6)\/(-4)*a\/(-45). Suppose j*t - 10 = 5*m, 2*m - 7 = -0*m + 3*t. Let h(q) = q + 5. Calculate h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 3*y - 3*g = 24, 0 = 3*y - 3*g - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861*s**3 - 10*s**2 - 1.\nAnswer: -5166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 80 = 0. Suppose 0 = -11*j + 13*j - a. Let y be -4 + (-282)\/(-30) + (-4)\/j. Solve 3*c - r = -2*r - 19, y*c = -4*r - 41 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 9.74?\nAnswer: 4.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20126\/5 + 4025. What is the closest to -51 in 2\/3, g, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 + 4*a + 15. Suppose 3*v = -5*w - 36, -5*v = -3*w - 10 + 2. Let o be y(w). Let h = 131 - o. Is -8 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-27)*12\/8. Let y = -2 - 11. Let x be (-192)\/(-104) - 2\/y. What is the nearest to z in x, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 6*m**2 + 0*m - 2*m + 6*m**2 + 15 to x + d*m**3 + k*m + w*m**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 51*n + 649. Let y be p(-26). Sort 5, y, -31 in ascending order.\nAnswer: -31, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 28*j - 50. What is the units digit of k(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 + -281.457. Let m = k + 0.257. Which is the closest to -0.1? (a) m (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57166417\/2060 - -111003\/4. What is the common denominator of h and 28\/3193?\nAnswer: 15965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 10 = 0. Let b(s) = -19*s - 3. Let o be b(1). Let d = o - -57. Calculate the highest common factor of d and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*d**3*s + 421530*d**3 - 1849540*d*s + 2*d + 26*s wrt d?\nAnswer: 792*d*s + 2529180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 157*s - 161*s + 4*n - 6, -5*n + 8 = -6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrm when four letters picked without replacement from rrmum.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3599 - 14432 - 2*f + 3604 + 3610 + 3619.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 6486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 20 = -o. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 - 15 - 18 + k**3 - 4*k**2 - k + 31 + 2*k to v*k + h*k**2 + p*k**3 + d*k**4 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z**2 + 2670*z - 10821. Calculate c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s = 42*s - 630 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -43. Let t = j - -18. Suppose w = -t*w + 2. Solve 2*l = -w*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357, -2508, -3659, -4810, -5961?\nAnswer: -7112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 421*h - 409*h - 96 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512.0591 + 512. Let q = -6.2991 - n. What is q rounded to 1 dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135337 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4304 and -3.\nAnswer: -12912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 7*y**2 + 48*y**2.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88102921.8 from 0.229044.\nAnswer: 88102922.029044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124671416*2.\nAnswer: 249342832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0319 times -14.537?\nAnswer: 0.4637303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 60. Solve 1 = -o + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*l = 215380 - 42159 + 226067. What are the prime factors of l?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456 and 334.\nAnswer: 76152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 358605 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 2*b**6\/5 + b**5\/5 - 3*b**4\/4 + b**3\/3 - 58*b. What is the third derivative of j(u) wrt u?\nAnswer: 288*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26543379 and -0.12?\nAnswer: -3185205.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6735.737l in millilitres?\nAnswer: 6735737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:08 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 3. Let c(y) = 10*y**2 + 4*y - 10. What is the units digit of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.023 and 3?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 111*b**2 + 2784*b - 16820.\nAnswer: (b - 5)*(b + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1369 + 751. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96 - 62) + 90 - (0 - -15).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3 + 28, -4*n + 2*z = -326. Suppose -5*c - n + 569 = 0. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d1645 + 52?\nAnswer: d1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**4 + 4*t - 3\/2*t**2 + 0 - 9\/4*t**3.\nAnswer: -t*(t - 1)*(t + 2)*(t + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-6))\/(195\/(3095820\/594))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:44 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 2060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*p + 4*l, -3*p = 4*l + l - 40. Solve -z - 5*v - p = 0, z + 13 = -2*z + v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let d = 44.9 + -48. Let h = k - d. Round h to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590530343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2551 + -2548. Let f(x) be the first derivative of -6*x**2 - 2\/3*x**a - 16 - 18*x. Solve f(g) = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y + 73 = 77, -3*z + 36 = 3*y. What is the second biggest value in 2, 1.56, z, -15, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 7. Let w(c) = -4*c - 7. Let y(u) = -3*r(u) + 4*w(u). Let x be y(-5). Let z = x - -2. Solve 5*s + 4*k + 1 = 0, -4*k = -5*s - z*s + 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 7*h**2 + 133*h + 184. Let s be y(17). Calculate the highest common divisor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*j*t**2 - 16*j*t + 88*t**2 + 16*t + 2 wrt t?\nAnswer: -28*j + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/2*24\/(-30). Find the third derivative of -z**2 - 4*z**5 + 2*z**5 + 2*z**2 - 2*z**q wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20666.3um to millimeters.\nAnswer: 20.6663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7331264g in micrograms?\nAnswer: 733126.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23487869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 15000*k**2 - 4*k + 30019*k**2 - 15014*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*v + 2*v - 66, 2*v = 3*m + 51. What is the common denominator of (1 - 5 - 112\/m) + -4 and -17\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:37 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/2 + 2 + 1865 + 4.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10331 - 206551\/20. Let w be 1394\/(-3)*9\/12. Let v = w - -339. What is the common denominator of o and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0 (c) 386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 112954.\nAnswer: 39\/56477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 851 + -744. Suppose 0*a = -a + 152. Let n = a - m. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*(-1176)\/112?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/5))**(-13)\/((k\/k**(5\/6))\/k)**(-29) assuming k is positive.\nAnswer: k**(-413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.81616\nAnswer: 0.081616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2 - 28429054*s - 202052777833729 = 0. Calculate s.\nAnswer: -14214527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -614 (base 10) to base 14\nAnswer: -31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/3 + 68*c**3\/9 + 39. Factor v(q).\nAnswer: -4*q**2*(q - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 656, 606, 494, 320, 84?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14537904 to the nearest integer?\nAnswer: 3813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 530 = 4*r - 102, 4*r = 5*a - 1650. Let g = a - 221. Is -22*g\/(-20)*2 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k - 30. What is the common denominator of 4\/k - (-11)\/(-2) and 3\/6*144\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 4*r**4 + 2*r + 16*r**3 - 2*r**4 - 1 to the form m + s*r**3 + d*r**4 + k*r + p*r**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -3*y + 12, 24*y + 4*r = 22*y + 80. Suppose 0 = -5*k + 15, -4*k + 362 = 5*s - 0*k. Calculate the remainder when s is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2312 + 20906\/9. Let p(g) be the first derivative of 8\/3*g - 343\/12*g**4 + 14\/3*g**2 + 1 - w*g**3. Suppose p(z) = 0. What is z?\nAnswer: -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -20*n**2 + 2*n - 6. Let g(w) be the third derivative of -w**5\/60 + w**4\/24 - w**3\/6 + 24*w**2. Let x(z) = -b(z) + 3*g(z). Is x(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 2149346868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614446455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 36.4.\nAnswer: 25.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 - (-40 + 42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79561213 is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u**3 + 6*u**2 + 3*u + 17. Let g be (-1)\/(-1*(2 + (-30)\/18)). Suppose 9 = g*x + 27. Let i(c) = 6*c**3 + 2*c**2 + c + 6. Give x*t(a) + 17*i(a).\nAnswer: -6*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1315 and 5705785?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (6 + -21 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 30. Suppose 5*u - 117 = -d, 2*u = 4*u + 2*d - 50. What is the remainder when u is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42599\/4664 + -5\/583. Calculate the common denominator of (-882)\/(-128) + (-8 - 7\/(-6 - 1)) and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 92*c**2 + 69*c - 879. Let z be l(40). Is -17320 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 5*x**2 - 4*x**2 + (-x**2 - x**2 + 0*x**2)*(5 - 3 - 3) + 0*x**2 - 2*x**2 + 4*x**2 + 0*x**2 + 5*x**2 + 0*x**2 + 0 - x**2 + 0.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.071?\nAnswer: -0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 12. Let x be b(6). Let p be (30\/x)\/((-2)\/4). Let z be (12\/p)\/(16\/2800). What is z rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*g - 90*g + 250*g + 773*g.\nAnswer: 1004*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 64*f**2 - 63*f + 50. Determine l(-65).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126424 by -2.\nAnswer: -63212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-840)*(-35)\/(-10). What is the nearest to -9 in -24, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4281988920 divided by 5?\nAnswer: -856397784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1949 + -1953. Which is the smallest value? (a) 1\/55 (b) -1.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 46938398.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.81 times -3.01\nAnswer: 8.4581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -40*z + 307 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 330012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b + 1. Let m(d) = -782*d**2 - 46*d + 46. Calculate 46*c(q) - m(q).\nAnswer: 828*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84658759 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -75. Let t = 125 + v. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300061 is divided by 2399?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 16*y - 5. Let s = -46 - -48. Let i(g) = 53*g - 1. Let b be i(1). Sort s, y, b in increasing order.\nAnswer: y, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14076b - -3?\nAnswer: -140768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1259 (b) 3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107, 116, 139, 182, 251?\n\"Answer: b**3 + b**2 - b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let d be g(-5). Let c = 61.5 - 61. What is the nearest to -1 in c, d, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1835.3 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7\/(d*d**(-2\/15))*(d\/((d*d*d**(1\/43)\/d*d*d*d)\/d))\/((d**26\/d)\/d) assuming d is positive.\nAnswer: d**(-12829\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Suppose -w - 17 = -4*t. What is the third derivative of r**2 + 7*r**5 - 2*r**t - 2*r**2 wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 3616*l\/3 - 3268864\/3.\nAnswer: -(l - 1808)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93.8 - -93.7847. Round j to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 0.1 (b) -4\/5 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -934 by -2.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287997*k**6 + 11*k**3 - 6*k**2 - 74038*k?\nAnswer: 34559640*k**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 674454 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(416) - (sqrt(416)*-1 + sqrt(416) + sqrt(416))) + 1*sqrt(156)\/sqrt(6) + sqrt(26))\/(1*(-2*sqrt(242) + 1*sqrt(2)*6)))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116696093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57467 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 23. Let q be j(-9). Suppose 2*l = -b - 5, q*l + 25 = -2*b + 5*b. Find the common denominator of (l + (-597)\/(-12))*4\/6 and -79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-210)\/4)\/5*6\/(-9). Suppose 1322 = c*q + 503. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 225.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 + 360 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdfd. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 18628 = -54766. List the prime factors of t.\nAnswer: 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797739.9kg to nanograms.\nAnswer: 797739900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*h + 10199 = -3925 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*g - g - 6, 0 = 3*r + 3*g - 18. Suppose 0*f + r = 3*f. Calculate the least common multiple of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (297\/(-6))\/33*58\/(-87). Let j(s) = -s**3 + 6*s**2 - 3*s - 3. Let a be j(5). Solve x = -3*f + 4*z + z, z = 4*f + a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5\/2 + 485*z**4\/2 - 10995*z**3\/2 - 37985*z**2\/2 + 5500*z + 18750 = 0.\nAnswer: -3, -1, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/10)\/(3\/78). Is -2*1\/2 - g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*1\/(-6). What is the closest to -1 in -0.3, -2, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-35) - ((-2)\/(-7 - 18760\/(-2696)) - 11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*t - 6*t - 29, 0 = -5*t + 15. Suppose f - p = b, 4*f - 3*p - 92 = 71. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**6\/1440 - v**5\/240 + v**4\/96 + v**3\/2 - 2*v. Let n(f) be the second derivative of w(f). Factor n(j).\nAnswer: (j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -410, -600, -780, -950, -1110, -1260?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4386682 and 128212.\nAnswer: 61413548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + j - 9 + 7. Let q(v) = 3*v + 4. Determine 2*q(y) + 5*z(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvvnvnvrvrvr. What is prob of sequence nnr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -209, -203, -193, -179, -161?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 2*x + 4 + 7, 0 = -5*l + 5*x + 30 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 6\/565, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 715493501744?\nAnswer: -715493501744.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -10. Let x = 1.3 + m. Let p = -0.03 + 0.53. What is the third biggest value in x, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by -12*(-7)\/(-147) - (-1472)\/28.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 2 g when four letters picked without replacement from {g: 8, h: 2, i: 5, a: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/5 + 28*c**3\/5 - 134*c**2\/5 + 176*c\/5 - 72\/5 = 0.\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/80 and 17\/10288.\nAnswer: 51440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * -901.\nAnswer: 87397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 376 = -5*t. Let h = t + -53. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w + 1. Let b be 10\/(-4) + 2\/4. Does 5 divide (-29)\/b - 1\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -29, -48, -57, -50, -21?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -19*b**4\/24 - 11*b**3\/2 - 42*b**2. Differentiate z(q) wrt q.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*g - 41, g = 3*f + 24 - 23 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 571*h - 20158. Calculate w(36).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36259, -145082, -326525, -580648, -907511, -1307174?\nAnswer: -1779697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 11. Let o = -12870 - -12880. What is d(o)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/(-13))\/60*120\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 15 + (-3 - (-6)\/(-3)). What is the nearest to -1\/2 in x, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:20 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9136982952 - -5?\nAnswer: -9136982947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55161, 55171, 55181?\nAnswer: 55191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssdtsssostssss. What is prob of sequence sttd?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 617862 = 20*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**6\/39 - 2*b**5\/13 + 3*b**4\/26 + 2*b**3\/39 - b**2\/13 - 7. Factor n(a).\nAnswer: 2*a*(a - 1)**3*(2*a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1053) + 0))**2 + -4 - -6*-1*sqrt(637)*-1.\nAnswer: 42*sqrt(13) + 4208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 12*r**2 + 15*r + 30. Let p be m(-13). Suppose 5*t = -o - 9 + p, -3*t = o + 5. Suppose t*l = -9*l + 657. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca1 (base 14) in base 11?\nAnswer: -1967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 3, e: 12}. Give prob of picking 1 d, 1 q, and 2 e.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*p - 5*p + 4*p = -37, 447*p + 1 = -3*s + 448*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**3 + 254336*m - 254333*m + 44*m**3.\nAnswer: 23*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-15 - (16 + -16) - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-7) - ((-56)\/(-32) + 3). What is the second biggest value in 6, n, -0.64, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (11*-2 + -8 + 6). What is the greatest common divisor of 875 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*j**2 - 1370*j**2 - 938*j**2)*(2*j**3 - j**3 + j**3).\nAnswer: -4078*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1474 - -1657. 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: Factor 2*f**4 - 44*f**3 + 216*f**2 - 400*f + 256.\nAnswer: 2*(f - 16)*(f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5727 is divided by 1660.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -97*j + 379. Determine q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 - -3. Let w = -1088\/7 - v. Find the common denominator of w and ((-3)\/(-30))\/((6153\/684 + -9)*-22).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2891*w - 1 + 4 + 2876*w as z*w + l and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2981391 and 4685043.\nAnswer: 32795301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 6420 and 6439 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 208, 650, 1408, 2506, 3968, 5818, 8080, 10778?\n\"Answer: 4*w**3 + 134*w**2 + 12*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 33*c - 34. Let p be r(-34). Solve p = -3*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 + -6 - 0) - (4 - 16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3*b + 1460 = 2*k, -5*b - 25 = 0. Let u be k\/(-68)*(3 + -1 + 2). What is the highest common divisor of 153 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36408 and 6888?\nAnswer: 254856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 2, f: 2, u: 3}. Give prob of sequence uuw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000946289 rounded to 5 dps?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 26139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) 0 (c) 607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44148292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 208675651 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 + 2*p**2 + 18*p + 27. Let s be q(-2). Let k = s - -832. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243232*g + 8292 - 8292.\nAnswer: 243232*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:43 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833 a factor of 1005469413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 211*z**2 - 843*z - 4158. Determine k(215).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 + 0*l**2)*(-2*l**3 + 2*l**3 + 2*l**3) + (-8*l**3 + 13*l**3 - 8*l**3)*(l**2 - l**2 - 2*l**2).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*l + 2 + (-4 - 3 + 5)*(123*l + 3875 - 3875) as k*l + t and give k.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90814?\nAnswer: 2, 17, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, -19, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c + 14. Suppose 0 = -c*a - 0 + 25. Let r be ((-5)\/(-4))\/(a\/20). Is 5 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-15) - (2 - -1). What is the nearest to -0.1 in -1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 2*v**3 + 3*v**2 + 99*v + 9431 - 9242.\nAnswer: -3*(v - 7)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + u, -l + u = 2*u. Suppose 15*q - 12*q - 9 = l. Let c = q + 11. 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 -60065 divided by 1465?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413313 is divided by 554?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.284683 millimeters?\nAnswer: 0.3284683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/3)\/(((-60)\/1440*56)\/((-28)\/4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6166, -5671, -5180, -4693, -4210, -3731?\n\"Answer: -2*w**2 + 501*w - 6665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 211. Suppose -6*o + d = -2*o. Calculate the remainder when o is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/17 + 36776*c**2\/17 - 169389770*c\/17 + 3037112100\/17.\nAnswer: -2*(c - 9185)**2*(c - 18)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001110100100100 (base 2) in base 12?\nAnswer: 200918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(1911)*-1 + sqrt(1911)) - sqrt(1911)))\/((2*sqrt(192) + sqrt(192))*-1 - sqrt(192) - 1*(sqrt(192) + sqrt(192)*-2 + sqrt(192))).\nAnswer: 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p**2 + 11*p - 11. Let s(k) = 4*k**2 + 3*k - 3. Let m(y) = 6*g(y) - 22*s(y). Let z(q) = 4*q. Give z(m(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -61. Let w(t) = 2*t**2 - 3*t. Give w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o. Let m be k(1). Suppose -m*i + 3*i = 0. Let w = 1 - i. What is the closest to 1 in 4, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n + 28. What are the prime factors of j(4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -21\/13256 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/1159 - -3533\/4636. Let o(u) be the second derivative of 0*u**3 + 0*u**2 + 8*u + 0 - 13\/12*u**4 + r*u**5. What is the third derivative of o(z) wrt z?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 108 - 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74073087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -4*w + 3*p - 230, 4*p = 0. Which is smaller: 38\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -86, 2\/25, 47?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 n when four letters picked without replacement from {g: 3, f: 1, u: 1, o: 2, n: 4, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 615530820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**0\/b)\/b)*b*b\/(b*b**(-1\/3)*b))**(-1\/3))**(-4))**(-1\/14) assuming b is positive.\nAnswer: b**(-20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164293 = -4*f + 21*n - 18*n, n + 164279 = 4*f. List the prime factors of f.\nAnswer: 2, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1729.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) - ((-105)\/(-36) - 3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39819\/14 - 2839. Let o = 12083\/8 + -1485. Let z = o - 57\/4. What is the common denominator of z and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10409\/2770 - -16\/277. Let b = 57986 - 138644528\/2391. Let o = b - -241511\/23910. Find the common denominator of u and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:33 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-12*20\/45.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1000 - 3835\/4. Let f = z + -41. Let i = 3 + 0. Which is the biggest value? (a) i (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 5, 0, -231, -3, 4 in descending order.\nAnswer: 9, 5, 4, 3, 0, -3, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (87 - 38 - 98).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918142836?\nAnswer: 2, 3, 13, 5885531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/719 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 306583683 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r. Let v(a) = 58*a**2 - 40*a**2 - 27*a**2. Calculate l(v(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1\/2*b**2 - 10*b + 42 + 1\/3*b**3. Suppose -2*h + 3*h = 0. What is z(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14471893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843 = -47*b + 796. Suppose 2*g + 5*r + 18 = 0, -5*g - 9 = -4*g + r. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (99 - (-9 + 17 + -6 + -19)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:49 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 99511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4251\/(-520))\/109*((-80)\/(-12) - 6).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11269 divided by 59.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1750, -3507, -5264, -7021?\n\"Answer: -1757*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 - -302. Is 787\/((o\/(-12))\/(1\/6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 0.088.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*k - 4*g, 4*k - 16 = -4*g + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*z**2 + 442*z**2 - 3*z + 269*z**2)*(0 + 0 - 2).\nAnswer: -1478*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/4 (b) -5501 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 bigger than -4\/3565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Let k be 1*(-39)\/45 - -1. What is the biggest value in k, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0744 times 40\nAnswer: -2.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*o + 19*o - 222 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.027 (b) 59 (c) 0.12 (d) 0.01 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431479849*z**3 + 496530*z**2 + 26*z - 4 wrt z.\nAnswer: -2588879094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 8 = 7*x. Is (-4786)\/4*(0 + -5 - x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeepddppaae. What is prob of picking 2 a and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33095580, 132382332, 297860252, 529529340, 827389596, 1191441020?\nAnswer: 1621683612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -2 (c) 58.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s - 82. Let r be j(11). Is (1\/(-2))\/(r\/(-40638)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-45) + (-18)\/(-10). Let j = 1932.01 + -1932. What is the nearest to -7 in a, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(1152)*2))\/(sqrt(11)*1*5 - ((-1*sqrt(110))\/sqrt(10) - sqrt(11))).\nAnswer: sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1 + -2 + 10. Let d(j) = 7*j**3 + 6*j**2 + j + 10. Let w(u) = -6*u**3 - 5*u**2 - u - 9. Let b(x) = a*w(x) + 5*d(x). Suppose 7*h = 6*h. Give b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + -10.8. Let k = n - -8. Let x = k + -0.5. Sort x, -0.3, -2\/3 in decreasing order.\nAnswer: x, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1412050844 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s + 261. Let p be f(-18). Solve p*l = 65*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let u be 3\/(3\/o)*4. Let w = -208 - -208. Solve w = -u*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12765376.\nAnswer: 2, 13, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -5 (c) 98 (d) -9 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1120 at most 1849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -22.3. Which is the third biggest value? (a) 0.1 (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.5674mm in kilometers?\nAnswer: 0.0007765674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2078217 (base 9) in base 5?\nAnswer: -241133234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/10752 and 11\/4416.\nAnswer: 247296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10001?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4520231 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 8:07 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -122548 * 910\nAnswer: -111518680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/20 + (-12)\/20 - 2. What is the least common multiple of (-88)\/((4\/(-12))\/(a\/(-21))) and 28?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102703 + -0.032\nAnswer: -102703.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, b: 12}. What is prob of picking 3 b and 1 v?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*f + 4 = -9, -2*b - 4*f = -12. Suppose 277 + 425 = 6*i. Suppose i = b*p - 31. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1915, 1872, 1833, 1798, 1767?\n\"Answer: 2*k**2 - 49*k + 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -846 + 842. What is the third biggest value in -46, j, 0.1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7376719061?\nAnswer: 4357, 1693073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*d + 1 - 1.\nAnswer: 174*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.341219nm to micrometers.\nAnswer: 0.005341219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/9 in 0.4, -18\/11, -3\/2, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179346.\nAnswer: 2, 3, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339809, 339811, 339813, 339815, 339817?\nAnswer: 339819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 6738, -2\/199, 4?\nAnswer: 6738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 2, z: 3, b: 3, t: 1, r: 7}. Give prob of picking 2 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 200736425 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.212? (a) -1590 (b) -3\/5 (c) -1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 + 6 + 31*v - 4*v + 7*v + 3*v**3 + 61 in the form z*v**2 + x + n*v**3 + d*v and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + (7 + 0 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.98. Let v = 2.02 - k. Let g = 2 - v. Which is smaller: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -28*p + 125. Put -1, -2, p, 3 in descending order.\nAnswer: p, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggggfsgggg. What is prob of picking 3 g and 1 s?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1186784088107\/188617724622 - 3552\/8526251. Let i = o + 18\/1229. Find the common denominator of i and ((-1)\/(-4))\/(1\/(-77)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-11))\/(784\/539)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 2*v. Let o be i(2). Let t be o - 2\/((-1)\/1). Let u(s) = s + 1. Determine u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1445 and 218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 11480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 3 - 4 - -40. Suppose s = -2*s + n. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -153770, -5 in descending order.\nAnswer: 5, -3, -5, -153770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3)*(-1 + 4 - 2)*(-30 - 10*t**3 + 30) to g*t + m + d*t**2 + z*t**3 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i + 82777000 = 24*i. Round i to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from qzmsqmmomm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 - 6*t**2 - 127*t - 332. What is the thousands digit of r(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198295\/142263 + 1\/12933. Calculate the common denominator of o and -1\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/84*7*8\/34)\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1496*m**5 + 30758*m?\nAnswer: 29920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + -54 + -12.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**8\/1680 - z**7\/1050 - z**6\/150 + z**5\/75 + 21*z**2. Factor r(w).\nAnswer: w**2*(w - 2)*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.578 + 1.422. What is the smallest value in -2\/5, y, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 11\/18 (b) 0.3 (c) -0.11 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/139 + 257\/973. Suppose -4*r = 9 + 3. Let p = -1 - -1.1. Which is the third biggest value? (a) r (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1501 - -1502. Let h(r) = -r**2 - 8*r - 3. What is the least common multiple of h(-6) and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(77)*-1*-1 - ((1*(sqrt(77)*-2 + sqrt(77)) + sqrt(77) - sqrt(77)) + sqrt(77)))*-4)\/(-2*sqrt(55)\/sqrt(5) - -6*sqrt(275)))**2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-16296)*4*(-63)\/(-27))\/(-1)\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t. Let y be 2*(-1)\/2 + -2. Let u = 6 + y. Let h be j(u). Solve h*p + 24 = -3*r, 5*p - 5*r = -0*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 27. Suppose 263 = v*g - 175. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 34*g - 711280 = 0. What is g rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -8 + 2 - -8) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18813\/7 + 2694. What is the common denominator of b and ((-13)\/3)\/((-22)\/6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601*a = -616*a - 135. What is the smallest value in 2\/65, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-8))\/((-1)\/34). Let y be 44 + -39 - (-248)\/h. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Let d be (11 + -11)\/(6 + -3). Let p(v) be the third derivative of 0*v + d*v**3 - 10*v**2 + 0*v**4 - 1\/30*v**5 + 0. Calculate h(p(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0188 - -0.0612. What is the second smallest value in 0, 26, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -16.66. Let o = x - -3.74. Which is the closest to 0? (a) -2\/15 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (453 + 31*k - 453)*(-2 - k + 2) + (-k + 4*k - 5*k)*(7*k - 12*k - 9*k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/13 + 40*v**3\/13 - 108*v**2\/13 + 8*v - 34\/13 = 0. Calculate v.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(2\/29)\/(z*z**2)**(-3\/37) assuming z is positive.\nAnswer: z**(1157\/5365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -619 - -1179. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121746 to the nearest one thousand.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 + 509 = 12*h + 473 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -36. What is the least common multiple of 7 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-2)*40\/110. Let r(l) = -8 - 5 - 9 + 15 - g*l. Let u(w) = -2*w**2. Calculate r(u(c)).\nAnswer: 4*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*u*z - 5*b**3*z**2 + 2*b*u*z**3 + b - 31*u + z**3 wrt u?\nAnswer: -b**3*z + 2*b*z**3 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(432)\/sqrt(392))\/sqrt(3))\/((sqrt(480)\/sqrt(360))\/sqrt(8)).\nAnswer: 12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -332369335 divided by 8982955\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*-5*((-88)\/(-11))\/104.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/23 in 1\/320, 5, -1, -0.9, -2\/7?\nAnswer: 1\/320","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668346980 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let s = -7 - -6. Sort 1, w, s in descending order.\nAnswer: 1, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(44)\/sqrt(4) + -5) + 3 + (0 + -2 + sqrt(11)*1 + sqrt(110)\/sqrt(90))**2 + -5.\nAnswer: -4*sqrt(11)\/3 + 14\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4822, -4991, -5160, -5329, -5498, -5667?\nAnswer: -5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*n - 506, -362 = -3*p - n + 6*n. Let d(m) = -7 - 4*m**2 - 120*m - p*m + 242*m + 0. Let j(h) = -h**2 - 2*h - 2. Calculate 2*d(g) - 7*j(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 7*g + 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99294.95999584 - 99295. Let r = l - -0.04. Round r to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + m + 0*m - m.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47348015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b - 0. Suppose -3*c = -11 - b. Suppose c*v = 480 + 120. What is v rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20181\/1951 bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 3*u**5\/5 - 19*u**4\/24 + 1699*u**3\/3 - 52*u**2 + 33. Differentiate f(z) wrt z.\nAnswer: 72*z - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 11. Give k(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - i**2 + i. Let m be g(2). Let o(l) = 12*l + 6 + m*l - 23*l. Is 8 a factor of o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*q*y + c**2 + 625296*c*q*y - 64737*q*y - 11*y with respect to c.\nAnswer: -4*c*q*y + 2*c + 625296*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*((-6)\/24)\/(1\/2)*196\/(-98)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28622618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 185 = -5*b - 23, -5*r - b = 56 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0706 - 501.9294. Let s = k - -501.181. Round s to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + sqrt(99)*1)\/sqrt(9) + -2*sqrt(1331) - (0 + sqrt(539) - sqrt(539))*-6)**2.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -56. Suppose -5*r + 32 + x = 0. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*l + 275, 2*d + 2*l = -0*d + 140. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 3148 = k + 21*b, -3*b = -3*k + 9369. Suppose -11*p + 9024 = k. What is the least common multiple of 7 and p?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01647 to four dps.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-20))\/l**(-17)*(l\/((l**5\/l)\/l*l))**8 assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + 2*h)*(-1 + 5 - 2)*(-89*h**3 - 70 + 70)*(-3*h + 3 - 3).\nAnswer: 1068*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(-2 - -3). Let s = 140 - 142. Which is the closest to s? (a) 0.2 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**8\/560 - m**4\/8 + 2*m**3\/3 + 6*m. Let t(l) be the second derivative of f(l). What is the derivative of t(v) wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and 3\/182.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v - 2. Let i be l(-8). Let y = i + 13. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/130 and -37\/130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2 + 6 + s**3 - s**2 + 8 + 10*s. Let l be x(11). Sort l, -1, 5 in descending order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8162.263 millennia to centuries.\nAnswer: 81622.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -56*a**2 + 3613*a - 10. Let w(l) = -159*l**2 + 10838*l - 28. Give 17*c(v) - 6*w(v).\nAnswer: 2*v**2 - 3607*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000247013 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22 - 16) + 218 + 5*1. Let n = m - 229. Which is bigger: n or 7\/89?\nAnswer: 7\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 16*s**2 + 19*s - 20. What is c(17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - (-1615)\/(-76). Let x(k) = k**2 + 20*k - 25. Let n be x(j). Let g be (-2)\/n - (0 + (-1)\/(-2)). Solve -4*y - 5*w = -12, -3*w - 5 + 17 = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.4 in 3, -0.1, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 e when three letters picked without replacement from {e: 1, z: 1, i: 1, g: 4, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3547\/4130 + 1\/590. Let b = z + 44\/35. Let s = 14.1 - 17.1. Does b = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypippyxpyppyx. What is prob of picking 2 x and 1 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 408438471 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110299862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 376.0841 - 0.0841. Let t = 390 - d. What is the third smallest value in 0.4, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 8. Let l be x(9). Suppose -3*f + 2*s + 40 = 0, f + 2*s - l - 7 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11319*y - 5660*y - 5657*y - 9.\nAnswer: 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 + 8*a + 13. Suppose 0 = -42*g + 40*g + 12. Let h be m(g). Let z = h + 17305\/14. Calculate the common denominator of z and -49\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -3\/20*b**5 + 2*b + 0*b**3 + 0*b**4 + 0 + b**2. What is the first derivative of l(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 225066, 450130, 675194, 900258, 1125322, 1350386?\n\"Answer: 225064*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/3 + 5*f - 5. Let k(o) be the third derivative of 275*o**4\/24 - 2*o**2 + 53*o. What is w(k(t))?\nAnswer: -550*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2120 and 2.\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = -43. What is the remainder when p is divided by ((-1470)\/(-147))\/((-5)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*s = 16688 - 2498 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-5)\/sqrt(7) + 2 - ((sqrt(66)\/sqrt(3))\/sqrt(2) - (sqrt(275) - (sqrt(275) - (sqrt(275) + sqrt(275)*-1)))).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*j + d - 8, -5*d + 10 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 149 = 4*x, -4*c = -x - 331 + 164 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j*j)\/j**13*(j\/j**(2\/11))**(-32))**(2\/3) assuming j is positive.\nAnswer: j**(-280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6861 = -3*a + 1654, -3*i = 4*a + 6921. What is the common denominator of a\/240 + 0 - -7 and -59\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151662 or -3033237\/20?\nAnswer: -3033237\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/7 + (21 - 23)\/(7 + 0). Let h = -0.03 - 0.07. Sort r, -2\/9, h in decreasing order.\nAnswer: h, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:55 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + 4*g**2 - 7*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*(-2)\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 32*o = 5*b, -5*b + 3*o = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -u + 28, -6*x + 2*x = -28. Solve u*l + 5*l + 26 = 2*k, -2*k - l = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/8)\/5*(10 - -2). Let k(w) = w**3 + 9*w**2 - 7*w + 10. Let s be k(q). Calculate the highest common factor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -1d027?\nAnswer: -1d016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 - 10*x. Let f be v(5). Suppose 5*c - f = -10. Let a = 711 - c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 50 - 43*v + 37 + 24 - 61 + 8*v. Give f(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -115, -204, -287, -340, -339, -260?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 + z**5\/10 - z**4\/8 + 7*z**3\/6 - 7*z**2. What is w(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 56*b**3 + 2*b**2 - 3*b + 24. Let z(w) = 13*w**3 + w**2 - w. Determine c(u) - 3*z(u).\nAnswer: 17*u**3 - u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.52 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (171 - 136)\/(1\/21). Which is the smallest value? (a) -5 (b) 1\/8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-3 + (-76785)\/30)*4\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99)*2 - sqrt(99)) + (sqrt(99)*-3 - sqrt(99) - sqrt(99) - sqrt(99))*2)\/((sqrt(5103)*6 - sqrt(5103))\/sqrt(7)).\nAnswer: -14*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/5 + 29*t**3\/5 + 138*t**2\/5 - 32*t\/5 - 736\/5.\nAnswer: (t - 2)*(t + 4)**2*(t + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19383541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - c**2 + 1. Let y(h) = -13*h**3 + 9*h**2 + 29*h + 26. Let w(d) = -4*k(d) + y(d). Give w(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/15 (b) 0.1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 21*r + 15. Let j(z) = z**2 + 11*z + 8. Let u(l) = 7*j(l) - 4*o(l). Let p be u(-5). Let v be 2\/(-6)*p\/4. Sort -2, v, -0.1.\nAnswer: -2, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6165, 6169, 6173, 6177, 6181, 6185?\nAnswer: 6189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-33)\/(-9) + (-4)\/6). Let q be 3 + (-27)\/12 - b\/8. Let f(h) = -h**2 - 8*h + 12. Let v be f(-9). Solve q*p - v = 2*l + 4, 0 = 2*p + 4*l - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22769.63 tonnes to kilograms.\nAnswer: 22769630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 35*p**2 + 5*p + 3. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(1\/10))**19 assuming l is positive.\nAnswer: l**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 2:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = h - 11, -3*h - 11 = -2*v. Suppose 4*y - v*u + 5*u = -184, 0 = -3*u. Let q = y + 100. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v*v*v**(-17)))\/(v**20*v))**(11\/5))**(2\/21) assuming v is positive.\nAnswer: v**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9380)\/2*5000\/(-10). Round l to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 1361*j - 1339*j - 1260*j - 19*j**3 + 3823*j to the form i*j + r + o*j**3 + q*j**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*d - d - 2*d)*(-1 - d**2 + 2*d**2 - 3*d**2) in the form q*d + x + i*d**3 + f*d**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(0 + (2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-21))\/6 + 1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 4143820*j - 617540185.\nAnswer: 5*(j - 828913)*(j + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**3\/33 + 10*l**2\/11 + 48*l\/11 - 384. Suppose t(v) = 0. What is v?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -479.8.\nAnswer: 47.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 4624*g - 23154. Calculate t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*h + 1808 = -5972, -3*f + 2*h = -4671. Solve 1544*q - f*q + 90 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513652 divided by -1?\nAnswer: 3513652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 57 = 4*u + 39, 95 = -3*u - 2*p. Let i(c) = 11*c + 327. Determine i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 + 6*t**2 - 2*t**2 + 29*t**2 + 10*t**2 - 41*t**2 + 10*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 14*j + 4*j - 32*j + 7*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-56) + (-13)\/12. Let k = -0.60539 + 0.10539. What is the closest to 0.05 in 2\/5, k, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 826487 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11599 - -118401. What is h rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 32 = -13*y. Suppose -3*x + 73 = -y. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 9, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21804588, -43609175, -65413762, -87218349?\n\"Answer: -21804587*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55574 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 125*u**3 + 15*u**2 - 15*u + 14. Let b be d(1). Solve -14*a - 153 = -b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892\/13127 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**3 - 1\/5*k**6 - 20*k**2 + 0 + 0*k + 0*k**5 + 7\/24*k**4. What is the second derivative of g(c) wrt c?\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7876809492?\nAnswer: 2, 3, 229, 419, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from olloj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32627451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.11 (b) 0.19 (c) 61 (d) 3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1504156921 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 9. Let q(o) = 5*o - 17. Calculate 5*h(l) - 2*q(l).\nAnswer: 5*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/7 - 139812726*v\/7 = 0.\nAnswer: 0, 139812726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5371604, 5371602, 5371600, 5371598, 5371596, 5371594?\n\"Answer: -2*l + 5371606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**5 + 4*c**5 + 2*c**5 + (-5*c**2 + 3*c**2 + 4*c**2)*(2*c**3 + 2*c**3 - 5*c**3) + c**4 + 14*c**5 - 4*c**5 - c**5.\nAnswer: 8*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4 - 32 = -19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1\/9, 5, 185.9, -3, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 a factor of 48422276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25038\/360269*(-70)\/45\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-1665)\/2)\/5*8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 591907 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 37*j**2 + 12*j - 6. Let a(y) = -37*y**2 - 14*y + 7. Let z(q) = 6*a(q) + 7*g(q). Let p(h) = 3*h**2. Give z(p(s)).\nAnswer: 333*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 618000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136*w**3 - 270*w**2 + 132*w + 2.\nAnswer: 2*(w - 1)**2*(68*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 + 241. Suppose 44*l + k = 49*l. Suppose 4*p + 3*a - 65 = 0, 2*p - 12 = p - 5*a. Is p >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*o + 8, 53*o - 2 = 55*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 - 9*y + 9. Let i(p) = 7*p**2 - 19*p + 18. Let l(s) = -3*i(s) + 5*z(s). Let v be l(11). Let c be 3\/(-9) + 14\/6. Solve v*o = -c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -8. Suppose -59 + q = -i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 240*c**2 - 2133*c - 64. Let n(z) = 2*z**2. Determine x(n(q)).\nAnswer: 960*q**4 - 4266*q**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((5\/(-10))\/(2\/8))\/(-2). Suppose -n = -0*c - 3*c + 5, 0 = n - l. Solve 4 = 2*v + 2*i, -v + 3 = c*i - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10596 take away -0.1345?\nAnswer: 10596.1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (-1 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -16. Let h = a + -37. Is (-3)\/(h\/(-28) + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 8*j - 5. Let h = -20 - -13. Let d be g(h). What is the third derivative of -b**2 - 2*b**5 + 4*b**2 - d*b**2 wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z + 6. Let y(n) = -12*n + 11. Let w(v) = -11*t(v) + 6*y(v). Let k(h) = -4*h. Determine k(w(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 389844 divided by -6?\nAnswer: -64974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -18 + 5 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 15*d + 15 = 0. Let s = -8 - -10. Suppose -5*l = 4*g - 46, -s + d = g + 2*l. Calculate the remainder when 44 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -1\/7 (b) 0.09 (c) -3 (d) 2 (e) 341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c + 17. Let g = 12 - 18. Let s be p(g). Let k = s - 45. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:33 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 4\/74011321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 + 1196*k**2 = 0 for k.\nAnswer: 0, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 45500*t**3 - 9680320*t**2.\nAnswer: 5*t**2*(t - 208)*(t + 9308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**3 + 3*n**2 + 3*n - 14. Let u(s) = 19*s**3 - 6*s**2 - 5*s + 27. Let r(d) = -5*f(d) - 3*u(d). Find the third derivative of r(w) wrt w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:03 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:11 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -242? (a) -3 (b) -2\/1517 (c) 3\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 452 and 0.6.\nAnswer: 271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/10*(-10)\/15. Let d(g) = -63*g - 306. Let o be d(v). Solve 7*k - 2*k = -4*l - 11, -2*l + k = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 2*o - 3*o)*(-2*o**2 + 2*o**2 + o**2) - 4*o**3 + 3*o**3 + 3*o**3 - 59*o**3 + 60*o**3 + 99*o**3.\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(30\/(-5)))\/(-1))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z - 36 + 36)*(7*z + 0*z**3 + 2*z**3 - 11*z)*(-4 + 2 + 4) - 2*z**4 + 0*z**4 + 3*z**4 + (6*z**3 - 3*z**3 - 4*z**3)*(-4 + 4 - z) + 3 - 3 + 2*z**4.\nAnswer: 96*z**4 - 184*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 707*x**4 - 19*x**3 + 46*x**2 - 446726*x - 2.\nAnswer: 8484*x**2 - 114*x + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 10648*v**3 + 10651*v**3 + 2*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 4*y - 4*y + (-y - 2*y + y)*(0 - 6 + 2).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 65\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 2*p - 139, -5*u + 18 = -3*p. Let c = 12 + -8. What is l in 2\/9*l**2 - 2\/9*l**c + 2\/9*l + 0 - 2\/9*l**u = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2576039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/2520 - 13*i**5\/840 + 9*i**3\/2 - 100*i**2. Let k(m) be the first derivative of a(m). Factor k(l).\nAnswer: -l*(l + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 3122001?\nAnswer: 3122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - -56. Suppose -8*o - 185*f + 188*f = -228, 2*f + 112 = 4*o. What is the least common multiple of v and o?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from wwnvvvwvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -1\/8*t**4 + 13\/120*t**6 + 0*t + 0*t**5 + 0 + 0*t**3 + 14*t**2. What is the second derivative of q(x) wrt x?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*g - 11134 = -2950. Calculate the remainder when g is divided by -2 - -3 - (-18 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*c - 485*c - 616*c.\nAnswer: -900*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69849949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*1)\/(sqrt(4) + sqrt(12)\/(sqrt(15)\/sqrt(5)) - sqrt(4))*3 + -4.\nAnswer: -4 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 6. Let k be w(7). Suppose 0 = -0*f + f - 11. Calculate the highest common divisor of k and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6242, 6334, 6426, 6518, 6610, 6702?\nAnswer: 6794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4481065 and 72593253?\nAnswer: 362966265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366302.38 - -4022.62. Let k = -370353.9987 + v. Let j = 29 + k. What is j rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 4783794*t**2 - 1907057086203*t = 0. What is t?\nAnswer: 0, 797299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 99 + 862. Let j = 143 - q. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 182417*l - 189. Let c be a(-23). Suppose b = 3*y - 0*b - 6707336, -5*y - 3*b + 11178912 = 0. Let u = c + y. What is u rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.869 and 1996.14148014?\nAnswer: 1999.01048014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -408 + 405. Let c(u) = -u**2 - 3*u + 3. Let z be c(d). Solve -54*s = -57*s + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 12 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(170)\/(sqrt(40)\/sqrt(4)))**2*-4.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:55 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g + 19. Let a(h) = 2*h. Let n be a(-3). Calculate the remainder when t(n) is divided by 254\/10 + (-5)\/((-75)\/9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-9))\/1 + 528\/54. Let j(s) = 11*s**2 + s**2 - v*s**2. Let f(g) = 9*g + 3. What is f(j(n))?\nAnswer: 18*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12 = -x. Let t(d) be the second derivative of 1\/2*d**x - 1\/6*d**3 - 4*d + 0. What is t(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106955\/118 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*q - q**2 + 2*q) + (2*q + 4*q - 3*q)*(184 + 26*q - 184).\nAnswer: 77*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.29659 centuries to months.\nAnswer: 107155.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360946181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 2. Suppose -5*m + 43 + 81 = -3*z, -m - 58 = 4*z. Solve -4 + m = -j*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/3 + 37666*u + 678204 = 0. What is u?\nAnswer: -18, 56517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764\/5*f**2 - 768\/5 - 2316\/5*f - 27\/5*f**3 = 0. What is f?\nAnswer: -64, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + -14 + (-29 - -20).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132013 (base 5) to base 15.\nAnswer: -1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 85. Let u be (r\/(-55) - 1)\/(2\/150). Is -0.1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z + 11. Let f be j(-5). Put 0.1, f, -18 in descending order.\nAnswer: 0.1, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 18. Suppose 40 = 4*r - 3*c, -2*r + 3*r - 10 = c. Let v be p(r). Suppose -3*g = -v - 52. Solve -4 = i - 2*f - 2*f, g = -5*i + 4*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1340820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10305707 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52010 by -78.\nAnswer: 26005\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**23*m\/m**31*m**(-8\/11)\/(m*m\/(m\/m**(-13))*m) assuming m is positive.\nAnswer: m**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -31*i**7\/1260 - 7*i**4\/3 + 150*i**2. Let d(z) be the second derivative of v(z). Let u(n) = n. Give u(d(w)).\nAnswer: -62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -17*t + 716736. List the prime factors of t.\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89 + -0.11. Let p = -227 - 65. Let q = 272 + p. What is the second biggest value in i, 3, 4, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1143651 and -18?\nAnswer: 1143633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 519717.4 litres in millilitres?\nAnswer: 519717400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (194 - 177 - (2 - 4 - -13)) + -28\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 9*s + 18. Let r be (-5 - (-257)\/(-2))*(-8)\/6. Let h = r + -79. Calculate the greatest common divisor of s and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 5. Let y be v(5). Solve g + y = -3*l - 13, 4*g = 5*l + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 4*r**3 + 41*r - 122*r**2 + 122*r**2 in the form f*r**3 + o*r**2 + t*r + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + g)*(-6*g**2 + 5*g**2 - g**2) - 3*g**3 + 3 - 3 + 3*g**3 + 0*g**3 - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**6\/15 - 28*m**4\/3 + m**3 + 23*m**2 + 194*m. Find the second derivative of s(t) wrt t.\nAnswer: -24*t**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 51. Does 25 divide ((-2)\/(-4))\/(((-25)\/330)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*3872\nAnswer: -851.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204 (base 14) to base 10.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + 13 - 2) + -25\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481162802 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/2 and 81\/61582.\nAnswer: 61582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = p + 5, -3*p - 3 = 0. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - d + 8 = 0, 0 = -n + 4*d + 10. Let b = n - 5. Calculate the least common multiple of (2\/1 + b)*-6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 112*j**2 + 2860*j - 70. Give h(74).\nAnswer: 3482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385755383 to the nearest integer?\nAnswer: 19641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 42 = -12. Let a(j) = 3*j + 12. Let z(c) = c + 3. Determine d*z(x) + 2*a(x).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 12:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -24. Let a(l) = l**3 - 4*l**2 - 3. Let t be a(k). Let x(m) = -m**3 - 2*m**2 - 2*m. Is 15 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(152)\/sqrt(32))**2 + 4 + 1*(3 + -1*sqrt(931)).\nAnswer: -7*sqrt(19) + 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let g be 1*(r + (-2 - -4)). What are the prime factors of ((-4)\/6)\/(g\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-2)\/((-2)\/(-1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-3 + 3 - (sqrt(12)\/sqrt(6) + 0))**2*-4.\nAnswer: -164 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.8 + 1.8. What is the nearest to -1\/2 in u, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111073 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2 + 0*n**3 - 12*n**2 + n**3 - 11 + 12*n. Let v be c(11). Solve -3*s + v = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 52\/(-24))\/((-4)\/9)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3887259 * 6.\nAnswer: -23323554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39687952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/11, -3215.\nAnswer: -3215, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2340 and -71\/1260.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 53*i**2 + 100*i - 57. Let u(z) = -z**3 + z**2 - 3*z - 1. Let l(p) = c(p) - 3*u(p). Factor l(x).\nAnswer: (x - 54)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y. Suppose m + 4 = 0, -23*p - 16 = -25*p + m. Let z(s) be the first derivative of p - 1\/3*s**3 + 0*s + 0*s**2. What is f(z(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9165 by 3055.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 3*d**2 - 5*d - 1. Let k be g(-3). Let u be -2*1*(-3 - (-20)\/6). Put k, 4, u in decreasing order.\nAnswer: k, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, k: 5, m: 2}. What is prob of sequence zmkk?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5351752 divided by -227\nAnswer: 23576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -28\/5*w + 26\/5*w**4 - 29\/5*w**3 + 16\/5 + 7\/5*w**5 - 92\/5*w**2 = 0.\nAnswer: -4, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 2\/9, 14.7 in decreasing order.\nAnswer: 14.7, 2\/9, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 3*sqrt(70))*-5 + 5*(sqrt(70) + 3*sqrt(70) + sqrt(70)))\/(2*(-3*sqrt(40) - (-1*sqrt(40))\/sqrt(4))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.279 times -0.1\nAnswer: 0.1279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-8)\/16 - (-1 - -22).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -1, -15 in descending order.\nAnswer: 5, 3, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281.588 - 32.1. Let d = v - -324.7. Let x = d + -11. Round x to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*w - 8 = 3*h - 29, 66*w - 6*h - 210 = 98*w - 0*h for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.4 + 17.2. Let u = -0.17 - -7.17. Let f = p + u. Which is the nearest to 0? (a) 2 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -1213100?\nAnswer: -1213032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 11*a**2 - 18*a + 2. Let h be z(-9). Suppose -4*t + h*t = -96. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 0.5 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2977 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 157206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i + 12. Let l be y(-4). Suppose -h = l - 7. Let p(n) = -n. Let c(k) = 6*k. Determine h*c(o) + 15*p(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 8*g + 5. Let y be x(7). Let o be y\/(-8) - 1\/4. Let 0*v + 0*v**2 + 2\/7*v**5 + 8\/7*v**4 + 8\/7*v**3 + o = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + 12367?\nAnswer: 1233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 25, -4, -71, -188, -367, -620?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 13*d**2 - 8*d - 2. Let y be p(6). Suppose -2*x + 3*h + 854 = 0, -3*x + 5*x - 4*h = y. List the prime factors of x.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 - 9*c - 5. Let g be m(7). Suppose 4*s = 3*a + 45, a - 5*a - 20 = -2*s. Calculate the highest common factor of g and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2)*b)**(-7\/9)\/(b**(-1))**(-10\/3) assuming b is positive.\nAnswer: b**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 7. Let j(q) = 9*q - 14. Let u(a) = a**2 + 5*a - 9. Let c be u(-7). Let f(r) = c*d(r) + 3*j(r). Give f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -22. Let z be -3 + (-141)\/(-27) - (-2)\/t. Solve -z*l - 3 = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l + 465*l - 3304 = -104*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.1575880671 + -10.1576. What is x rounded to seven decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 8*d + 9. Let y be r(7). Let n = y + 53. Suppose -4*z = -z - n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.8431 years in decades?\nAnswer: 71.48431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1972)\/15776*7*((-1368)\/(-21))\/4\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.5, 3, 0.029, 1\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9205 divided by 2\nAnswer: 9205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 = 77*j - 91 - 298 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/2 - 59369*z**4 - 534288*z**3 - 890455*z**2 + 2968225*z\/2 = 0.\nAnswer: -118729, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 6*n**2 - 5*n**2 - 1 + 1 - 2*n**2 + (0*n - 2*n + 6*n)*(-2*n + 2*n - n) - 3*n**2 + 5*n**2 - 4*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/29 + 139\/58. Suppose 0 = 3*z - 7 + 1. Suppose z*u = 5*s - 14, 4*s = 4*u - u + 7. Is c <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(847))*3)**2 - (sqrt(70)\/sqrt(40) - (sqrt(126)\/sqrt(2))\/sqrt(9))) + -4.\nAnswer: -791*sqrt(7)\/2 + 7655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5))**(-37)\/(y*y**6\/y*y*y**(-1\/7)) assuming y is positive.\nAnswer: y**(796\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*h + 2. Let w = 23 + h. Solve -p + w = 3*d, 0 = -0*p - 5*p + 3*d - 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v**5 - 91693*v**4\/6 - 1956888*v**3 - 8141954*v**2\/3 + 819912*v + 1032256\/3 = 0. What is v?\nAnswer: -254, -8\/5, -1\/4, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118432388 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.59 - 9.49. Sort -2\/197, x, 5, 4 in increasing order.\nAnswer: -2\/197, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**3 - 2*x**3 + (-3*x + 2*x + 0*x)*(1 - 1 + 2*x**2) - x**3 - 4*x + 4*x)*(3308 - 402 + 707)*(2 - 1 + 0).\nAnswer: -18065*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3635 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68))**2*-3.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -11. Let v(y) be the third derivative of 5*y**4\/24 + 10*y**3\/3 + 1142*y**2. What is the units digit of v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158805 + 158832. Suppose -13 = -m - 1. Calculate the least common multiple of m and z.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3139800757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = -2*v, -s + 250 = -4*v + 272 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8816 - 0.1184. What is the nearest to 4 in -1\/8, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/9 - -10\/3. What is the closest to f in -2, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((sqrt(432) + 2)*-3 - (-1 + sqrt(432) + 3))**2.\nAnswer: 13824*sqrt(3) + 125568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/56*3\/5 - 130\/(-8). Solve -2*y = -5*r - d, -5*y = -5*r + 9*r + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 0, 911 in increasing order.\nAnswer: -8\/7, 0, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -36*n + 18. What is the smallest common multiple of 2 - (8 - (-9 + 19)) and u(-1)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122099522.8 to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -210.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381 (base 11) in base 16?\nAnswer: 6f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7104485 kilometers in meters?\nAnswer: 710.4485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275464*c**2 + 17*c + 98989.\nAnswer: -550928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4, -36, -0.12, 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 480\/300 - 52116\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1819*m*n**2 + 2012*n**2 wrt m.\nAnswer: -1819*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38865*a**6 + 29873*a**2 - 2*a?\nAnswer: -4663800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 - 5*f**3 + f + 13*f**3 + 2*f**3 - 2 to g*f + m*f**3 + a + h*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 5*o - 1. Let y be k(4). Let h be (2 + (-7)\/y)*-3. Let u = -23 - -26. Solve -h = t - u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 6 - (-1 + 3). Let x(d) = -3*d**2 + 4*d**2 - 9 + 4*d + 2 + 0*d**j. Let u = -10 - -5. Calculate x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 274\/21 + -40\/3. Let w = 28 - 55\/2. Put 9, b, w, -2 in descending order.\nAnswer: 9, w, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 6*j**2 - 167*j - 1225. What is x(-7)?\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3484 - -3574. What is the highest common divisor of 3915 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (-35 - (-46 - 21))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 358, 768, 1290, 1894, 2550, 3228, 3898?\nAnswer: 4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*n**4 + 3*n**4 - 9*n**4 + (n + 2*n**4 - 5*n**4 + n**4)*(-2 - 4 + 3).\nAnswer: -16*n**4 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = -4*u, -3*g + 51 = 2*g - 3*u. Suppose 5*a + 7 = g. Let h(q) = -a + 2 + 2 + 7*q - q**2 - 3*q. Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - s + 27, 0 = -q - 3*s + 8 + 1. Let x(m) = 64*m - 49. What are the prime factors of x(q)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/4*20*3468\/2312.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 24*k - 18. Let l be p(24). Let r be 2\/(3*1\/l). Calculate the remainder when ((-147)\/r)\/7*12 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a week in minutes?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7266256)\/24*51\/(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19536*q - 58833. Give y(-3).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26125643 (base 7) in base 15?\nAnswer: 31e2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 910*p + 74. What are the prime factors of b(67)?\nAnswer: 3, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -77544 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4494618033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099200497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*-1)\/(3\/(-6)). Suppose 301*x = 296*x - a + 16, a - 4 = -x. Solve -t - g = -x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 10*r + 187*r**2 - 359*r**2 - 15*r + 168*r**2.\nAnswer: -4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22035)\/(-25) + 2\/(-5). Suppose 4*o = 4*t + 2352, 2*t - 141 = -o - 1305. Let x = q - t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102202 (base 3) in base 15?\nAnswer: b1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/7 + 14\/(-49). What is the units digit of 4\/m - (-172)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4488428763 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 = -5*a, -2*a - 2*a - 37 = -5*p. What is the greatest common factor of p and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228 + 240 - 699 + 229 + d**4 - d**3 - 670*d in the form b*d**3 + k*d**2 + r*d + h*d**4 + w and give r.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -12*m + 15. Suppose -251 = -4*j + m*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**4\/12 - 2*f**3\/3 + f**2 - 125*f. Let d(m) = -1. Let k(r) = 3*d(r) - o(r). Factor k(c).\nAnswer: (c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6913924 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 2*a**2 + 4*a**2)*(2*a - 4*a + 3*a) - a**3 - a**3 + a**3 + 2*a**3 - 4*a**3 + 3*a**3 - 3*a - 3*a**2 + 87*a**3 - 433*a**3 + 306*a**3.\nAnswer: -42*a**3 - 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -14. Let g = b - -22. What is the greatest common factor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 11 + 2297*t**3 - 9 + 4*t**3 - 2*t**3 - 4*t**3 + (4*t**2 - 4*t**2 - t**3)*(1 - 3 + 4) - 5*t**3 + 2*t**3 + 0*t**3.\nAnswer: 2290*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 16) to base 14.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 - -120. Let u = n + 97.00000108. Round u to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -67. Let b(r) = 15*r**2 - z - 8*r**2 - 1 - 8*r**2 + 2*r. Calculate b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4608*v - 4600*v + 9210*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152336417 is divided by 3051?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000245401364 rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + x + 44*x**3 - 16*x + 24*x.\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 30. Let q be a\/(-25) - 234\/(-10). Suppose -4*t = q + 4. Let o(i) = -i**2 - 6*i + 4. Give o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72410384, -72410389, -72410400, -72410417, -72410440?\n\"Answer: -3*k**2 + 4*k - 72410385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (5 - (-23 + (13 - -7)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -55 - -480 - (37\/7 + (-4)\/14). Calculate the greatest common factor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 + -13. Let f = q + 5. Let k be (-1)\/1 + (0 - 24\/(-20)). Sort k, 4, f in decreasing order.\nAnswer: 4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.5 + 53.5. What is the second biggest value in -4, o, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 321 + -321. Solve 0 = -n*g + 4*g + 5*k + 15, 5*k + 5 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/5 - 4*u**3\/5 + 18*u**2\/5 - 4*u + 7\/5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 620*l**3 - 245*l**2 - 8*l - 3371. Let q(f) = -1239*f**3 + 539*f**2 + 17*f + 6743. Let r(n) = 11*h(n) + 5*q(n). Differentiate r(a) wrt a.\nAnswer: 1875*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1115 = -5*o, -3*y + 4*o = 6*o - 669. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2092009 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/280 + a**4\/24 - 4*a**3\/3 - 3*a. Let v(d) be the second derivative of f(d). Differentiate v(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let l(w) = 317*w - 2. Calculate l(c(m)).\nAnswer: 317*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + n - 9190, 4*n + 1859 = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -393557, -393647, -393741, -393839, -393941, -394047, -394157?\n\"Answer: -2*q**2 - 84*q - 393471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 51 = 27. Let y(p) = p - 11 + 5*p - 5*p. Let k be y(11). Which is the nearest to -0.1? (a) k (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44262 + -3222.39\nAnswer: -47484.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmmibamipaiih. Give prob of sequence ibi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51542*i**5 - 590320*i?\nAnswer: 1030840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**5 + m**4 + m**2 - 2. Let o(s) = 131*s**5 + s**4 - 3*s**2 + s - 2. Let h(u) = -n(u) + o(u). Find the third derivative of h(l) wrt l.\nAnswer: 7800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/13))**(-5\/9))**20*((t\/(t\/((t**7*t)\/t*t)))\/(t*t**(1\/4)*t*t))\/(((t**(1\/6)\/t)\/t*t)\/(t**(-1\/3)*t)) assuming t is positive.\nAnswer: t**(2125\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3)*z*z)**(2\/149)*((z*z*z**(3\/8)*z)\/z)\/z**(-11) assuming z is positive.\nAnswer: z**(107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -876 - -876. Which is the closest to 2\/5? (a) 0.5 (b) r (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + q + 28 = 0, -7 = 60*h - 58*h - q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:48 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 18*r**3 - 10*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1866\/(-42) + (-40 - (-1740)\/42).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(880) + sqrt(55))\/sqrt(11).\nAnswer: 3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 547 + -18049\/33. Which is the closest to -2\/3? (a) x (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g - 3. What is a(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + 133?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qll when three letters picked without replacement from {l: 2, q: 1, n: 1, x: 1, a: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/15, -32\/19, -377, -0.2?\nAnswer: -32\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18457422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, f: 4, g: 1, q: 1}. Give prob of sequence grf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2438404*c**3 + 2438396*c**3 - 7315227*c**3 + 2438401*c**3.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + 4*p + 2. Let n be r(-4). Suppose -2*m + 34 = -3*d, -3*m - n*d - 18 = -4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4998 and 70?\nAnswer: 24990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:37 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/5*(-180)\/(-6). Is -31 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wwqwqqh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**(1\/3)))\/q)**(7\/5)\/((q\/q**(-2))\/(q**(-1\/10)*q)) assuming q is positive.\nAnswer: q**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -23*d**2 + 706*d - 5261. What is w(13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135509 is divided by 289?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/5 - 412*w**3\/5 - 1248*w**2\/5 - 1252*w\/5 - 418\/5 = 0?\nAnswer: -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -36*u + 3487. What is n(77)?\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h**6 + 0*h**4 - 1 - h**3 + 0*h**5 + 0*h + 4\/7*h**7 + 0*h**2. Find the third derivative of k(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**4 - 1690*u**3 - 3*u**2 + 1679*u**3 - 5*u**4 to the form t*u**4 + f + i*u**2 + m*u**3 + k*u and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15525372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -y + 2*d, -9*y - d - 1948 + 985 = -994 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.022 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8. Let g = c - -6. Put -3, g, 1 in decreasing order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) - (-14)\/8. Let w be 26\/8 + (-3)\/12. Solve i = -2, -n*s - s + w*i = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 6*o**2 - 3*o**2)*(0 + 1 - 3) + 3*o**2 - 8*o**2 + o**2 - 3*o**2 + 2*o**2 + 2*o**2 - 164 - 2936*o + 2936*o + 2*o**2.\nAnswer: o**2 - 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-2)*(-40)\/20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 5. Let l be v(-4). Let z(t) = t**3 - 2*t**2 - t - 4. What is z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*p - 2*p. Let l(k) = 2*k**2 - 2*k - 2. Let b be l(p). Solve -5*g = -2*v, -b*v + 3*v - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*w + 8 = -3*w, -2*w + 8 = 0. What is the closest to s in 1, -24, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447427671 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -2*n - 1190. Let v = n + 124. Solve v*m + 0 = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.71 times -0.1\nAnswer: -0.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15636, 32766, 49896, 67026, 84156, 101286?\n\"Answer: 17130*s - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -59\/10*y + 17\/5*y**2 + 1\/2*y**3 - 44\/5 = 0.\nAnswer: -8, -1, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144321 + -3?\nAnswer: 144313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/120 + s**5\/12 + 2*s**3\/3 + 6*s**2. Let k be n(5). Solve -9 = 4*h - o, 0 = -8*h + 3*h - k*o - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12062 - 873. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1231 - 1226. Sort -0.3, 0, p, 2\/7 in decreasing order.\nAnswer: p, 2\/7, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxax when four letters picked without replacement from {x: 4, c: 1, a: 1, y: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + (-1 + 1 - 1)*(2 + 0 + 0))*(-46*f**4 - 31*f**4 - 24*f**4).\nAnswer: 303*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909705753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.0135 microseconds to weeks.\nAnswer: 0.00000000049109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4962 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 27*g + 51. Suppose 17*t + 214*t = -5 - 457. Determine i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566952 divided by -6?\nAnswer: -94492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 11*u - 6*u - 18, -4*y - u - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101110?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Suppose -f = -3 - y. Solve 0 = -5*s - 3*i - f - 19, 0 = -5*s - 4*i - 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = o - 2*o + 370, -h + 2*o - 89 = 0. Let u = 112 + h. Find the second derivative of -2*j + 34*j**3 - u*j + 38*j - 10*j**3 wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 17308*k + 187229290.\nAnswer: 2*(k - 21635)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 20. Let f = t + -7. Suppose -5*w + f*z + 90 = 0, 5 = -4*z + 3*z. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 1162*g**4 - 4668*g**3 - 7012*g**2 - 4678*g - 1170 = 0.\nAnswer: -1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 11*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 20, -61 = -2*a - 7*h + 4*h. Suppose 2*o = -3*u - 3*o + 72, u + 2*o - a = 0. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762052816?\nAnswer: 2, 23, 83, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(-26 + 1 + 271) + 1 + 1 + 0)*(3 + 2*w - 3) as n + y*w and give y.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 9)*(2*g + 3*g - 6*g) - 3*g - 15*g + 47*g - 53 + 16*g as h + l*g and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 19. Let l(a) be the second derivative of -11*a**4\/12 + 3*a**3\/2 + 2*a**2 + 15*a + 2. Let o(v) = -5*v**2 + 4*v + 2. Calculate d*o(u) - 4*l(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5075 is divided by 1689.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (2 + sqrt(1100) + 1)*3).\nAnswer: 20 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**8\/56 - n**4\/24 - n**2. Find the second derivative of q(v) wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104342 and 318166?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/12 + 25*h**4\/24 + 10*h**3\/3 - h**2 + 18*h. Factor a(o).\nAnswer: 5*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-283 - 425 + 60 - 192 - 431)*(-4*f - 7*f + 3*f) to the form p*f + t and give p.\nAnswer: 10168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in -0.2, -0.8, -444, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4368\/153653?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-40)*l*l\/((l**(-17)\/l)\/l)*l**(-9) assuming l is positive.\nAnswer: l**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1. Suppose 8*c - 334 = 10. Let g = c - 55. Let j(r) = -2*r + 14. Let z = -4 + 3. Calculate g*a(b) + z*j(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5021 - -2?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38012 or 38019?\nAnswer: 38012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 115 = 28*m + 49*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2016) + sqrt(2016))*5)\/(-1*-1*sqrt(63)) + 1)**2.\nAnswer: -40*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/899 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 0.8, -5 in ascending order.\nAnswer: -5, 0.8, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.064 (b) 0.4 (c) 2 (d) -24 (e) 0.2 (f) 12 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -6, 4, -1 in descending order.\nAnswer: 49, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.4, -14, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 12. Let r = u - 15. Let p(z) = -z**2 - 1. Let w(b) = 2 + b - 6 - b**2 + 2 + 0. Calculate r*p(t) + 2*w(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 + 22*p**2 + 8*p + 46. Give f(-7).\nAnswer: 2097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.94 - -3.47. Let r = -0.53 + t. Suppose 2 = o - 0. Which is the closest to r? (a) 1\/7 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14027774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4\/3 - 1580135*j**3\/3 + 3160310*j**2 - 18961940*j\/3 + 12641320\/3 = 0 for j.\nAnswer: -316033, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/135*18*(-10)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 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: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3804095 and -49453242\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-360)*2*-70?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - e44ec1?\nAnswer: -e44eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = 35. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + i**3 + 13*i**3)*(-i**2 + 20 - 13 + 4*i**2).\nAnswer: 54*i**5 + 126*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -8, 2*c - 3 = 3*q - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 1. Let a be m(-5). Let j = -27 + a. Let q = 20 + j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + o + 0*o**3 + 838*o**4 - 5*o**2 - 836*o**4 + o**3 to d*o**3 + n + b*o**2 + z*o**4 + m*o and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.1. Let i = -286.936 + 286. Let o = i + k. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.35875 - -27.36. What is v rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*6*2\/(-4). Solve 0 = -5*d - 3*s - 5, -m*s = -3*d - 0 - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24848 + 25272.77. What is n rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5 - 378*o**4 - 8817*o**3 + 19554*o**2 + 8820*o - 19176 = 0. Calculate o.\nAnswer: -94, -34, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 - -0.06. Let l = -0.01 + i. Which is smaller: -5 or l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 2*f**2 + 3*f**2 + (-f + f - f)*(-4*f + 2*f + 3*f) + (-2 + 2 - f**2)*(1 - 1 + 2) as b + h*f**2 + r*f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123658655 - 0.1.\nAnswer: -123658655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96035164 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2344*q + 1999*q + 298 = 4012*q + 9566 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 3819\/(-9))\/(41\/(-123))?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-36))\/(3\/12 + 1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 10*m + 2. What is y(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.03 - -16. Let f = 0.08 + j. Let q = f + -0.23. Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10355667 by -3451889.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17810 = 11*w - w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-48) + (-20)\/(-6). Let d be 16\/c + -3 + 3. Solve 0*h + b = -4*h - 7, -h = b + d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73)\/(-5) - 34\/(-85). Let o(b) = -b**3 + 14*b**2 + 17*b - 22. Let h = 8 + 1. Calculate the smallest common multiple of h and o(r).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 15*v**2 + 7*v + 9. Let a(k) = -7*k**2 + 3*k + 4. Give 9*a(n) - 4*z(n).\nAnswer: -4*n**3 - 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 2*u**2 - 2*u - 4. Let i be f(-3). Let b = 15 - i. Let j(r) = -r**3 + 6*r**2 - 6*r + 6. Let g be j(5). Solve -b*n - g - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4918, -5116, -5444, -5902?\n\"Answer: -65*u**2 - 3*u - 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 66972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 275531968 a multiple of 4916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:46 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 22.\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 12. Let p(v) = 2*v**2. What is p(u(y))?\nAnswer: 32*y**2 + 192*y + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47884229 to the power of 1\/2, to the nearest integer?\nAnswer: 6920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*p**2 - 648*p**2 + 17*p**2.\nAnswer: -506*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/6 + (-29446)\/(-12). Suppose n = -5*n + h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 1\/2 (b) -1\/4 (c) -0.4 (d) -19\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 - 29*a**2\/3 - 166*a\/3 - 136\/3 = 0. What is a?\nAnswer: -4, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 30*b - 2205. Let m = b + -73. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*c + 241 + 223, c = 2*f - 473. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 384.0138 months?\nAnswer: 32.00115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)*w*w)\/w)\/(w*w*w**(-8)*w)*(w\/((w*w\/((w**(-4\/3)*w)\/w)*w)\/w*w))**(4\/5) assuming w is positive.\nAnswer: w**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5744314 and 16958?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.76733ml in litres?\nAnswer: 0.01076733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5358554 divided by 2679277\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - (-11 + -1)) + (37 - 1). Let d(l) = -l**3 + 35*l**2 - 30*l + 95. Is d(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*w**2 - 10260*m**2 - 51*m*w**2 + 8*m*w wrt m.\nAnswer: 4*w**2 - 20520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + (-116)\/10. Let l be h\/(-16) + 13\/4. Solve v = l*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2)*v*v\/(v\/((v**(1\/3)\/v)\/v*v)*v))**(8\/5) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034311 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2200855 + 184432018\/812115495. Let g = y - 1\/205. Let k = 0.09 - 0.03. What is the biggest value in k, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (1 - 12) - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -3 (c) -46\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 9. Let b be r(3). Let x be ((-5)\/(-20) - b)*4. Solve -s + 3*a = 3, -5*s + a - 16 + x = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13142 - 486?\nAnswer: 12545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 2*a - 6. Calculate x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49011 - 48787.791. Let o = -223 + g. Round o to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r. Let b be (-3)\/(-2)*(-2)\/(-3). Let v = -3 - 0. Let u(k) = 1 + 3*k**2 - k**2 + 0*k**2 - k. What is b*u(q) + v*f(q)?\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-7)*3\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10306927*p**2 + 8104946?\nAnswer: 20613854*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/19, -2.2, 1\/2 in increasing order.\nAnswer: -12, -2.2, 2\/19, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23152220 to the power of 1\/2, to the nearest integer?\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -u - 2, u - 6*u - 6 = -4*p. Factor 7*z**2 + 0*z**2 + 4*z**4 - 6*z**p - 2 - 3*z**2.\nAnswer: -2*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-6 + sqrt(24))\/(sqrt(8) + (sqrt(8) - -1*sqrt(16)\/sqrt(2))).\nAnswer: -23*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 - 1. Let u(t) = -6*t**4 + t**3 + t**2. Let l = -143 - -145. Suppose 0 = -b + 2. Let p(f) = b*u(f) + l*s(f). Differentiate p(q) wrt q.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57980001 is divided by 144950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 6*g + 7. Let u be w(2). Solve 2 = 2*f - u*r, -4*f - 4*r + 2 + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.78 - -0.08. Let p = -6.9 - s. Round p to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 30*o - 103 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:35 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18620.07 nanograms in grams?\nAnswer: 0.00001862007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/20 + ((-11145)\/4)\/5. Let j = -248 - n. Let k = j + -187. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248169051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(90))\/sqrt(5) + sqrt(18))\/sqrt(6) - (sqrt(576) - (sqrt(576) + -1*sqrt(576)))\/sqrt(3))**2 + 5.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*((-9)\/(-6) - 1)\/(-19 - -18)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010000211 - 0?\nAnswer: -2010000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 + 31240*m - 281322 = 0 for m.\nAnswer: -15629, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 2083 = 689. Let g = 159 - z. Solve 1 = n + g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -3, 36, 0 in descending order.\nAnswer: 36, 19, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 7. Let p be 6 - (-3)\/(-9)*0. Let m = p + 2. Let t be y(m). What is the biggest value in t, 1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21816338081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:16 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/60 - 11*i**4\/24 + i**3 + i**2. What is the remainder when d(-9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22397532 to the nearest integer?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -32720?\nAnswer: -32713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 - 42*i**2 + 22*i - 1. Calculate the smallest common multiple of o(-9) and 594.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106018 (base 9) in base 12?\nAnswer: 30868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -361, 258, 1407, 3086, 5295, 8034?\nAnswer: 11303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/1771)\/(7020\/(-3276)).\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.035 - -0.165. What is the fourth biggest value in -3\/4, 3.9, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*j - 2*j**2 + 3*j**2 - 232*j + 113*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -21, -5, -1 in decreasing order.\nAnswer: 3, -1, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = -2. Let m be -4 + (q - -6 - -3). Solve -m*n - 9 = 0, 0 = s + 3*s - 2*n - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 96*j + 387. What is i(28)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/15*g**2 - 12*g + 0 - 2\/45*g**4 - 1\/9*g**3. Suppose x(b) = 0. What is b?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*n - 15, -3*i - n = -0*n - 28. Suppose -1 = -5*u + i. What is the third derivative of 2*h**u + 2*h**2 + h**6 - 2*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 367.78, -2.7, 0 in decreasing order.\nAnswer: 367.78, 0, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 568 (b) -69 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14489 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 2 - (-1 + sqrt(2))**2*-5) + -5.\nAnswer: -7*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2052 and 636747.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 776219880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Let c = -17 - -15. Let m(v) = 3*v + 3. Give c*g(y) + m(y).\nAnswer: y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) -2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4342330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h. Let l be v(-4). Let j = 39 - l. What is the least common multiple of j and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + f + 3, 3*f - 552 + 545 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 30 = -0*k + 5*k, -4*k = -h - 3. What is the second derivative of -h*p**4 - 2*p**2 - 154*p + 44220 - 44220 wrt p?\nAnswer: -108*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -150225.\nAnswer: -4\/150225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7906 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33350672, 33350671, 33350670, 33350669, 33350668?\nAnswer: 33350667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + 4*(3 + sqrt(1700) + -2 + -4)*4))**2.\nAnswer: -57600*sqrt(17) + 1748900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159163118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139710*g*y - 249215*g wrt y.\nAnswer: -139710*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 4. Let z(m) = -2*m - 5. Let a(y) = 4*s(y) - 5*z(y). Let c be a(-5). Which is greater: c or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222969.5 and -7.\nAnswer: 1560786.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let r = -5.9 - a. Let f = 5\/13353 + -4466\/40059. Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 1. Let s be t(3). Differentiate 2 - 4*m**3 + 5 - 2*m**3 - s*m**3 wrt m.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21424 and 8944.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 3*u + 3*u)*(2086*u + 5864*u + 2703*u + 2880*u).\nAnswer: -13533*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6532524.\nAnswer: 2, 3, 181459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -5*f - 15, 0 = 13*f - 16*f + 4*n + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 18*x**2 + 4*x + 21. Let m be n(-17). Let p be (5\/(-2) + 1)*m\/18. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 3*x**2 - 3*x**2 - 2*x**4 - 2*x**4 + 2*x**4 + (-3*x - x + 2*x)*(x**3 - 4*x**2 + 4*x**2) + 3*x**4 - 4*x**4 - x**4.\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 15. Let i be o(-6). Suppose -2*g + g - 22 = -i*t, 3*g = -3*t + 18. Suppose t*w + 104 = 9*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 0*n**4 - 10*n**4 + 6*n**4 - n**4 - 3*n**4 + (-2*n - 3 + 3)*(4*n**3 - 3*n**3 + n**3).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/78*(-2 + -1)\/((-148)\/(-222)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393723993 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -s + 47, 5*m = -4*s + 5 - 55. Let k(j) = 4*j + 39 - 89 + 37 + 9. Let t(z) = -z + 1. Determine m*t(b) - 4*k(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*k**4 + 29*k**3 + k - 1583.\nAnswer: -56*k**3 + 87*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -4. Let z = a + 10. Let j(h) = h + z*h + h. Let i(y) = 2*y**2. Calculate i(j(o)).\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 24*h - 1813. Let q = h + -239. What is the least common multiple of q and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = -3. Let y(b) = -b**3 - 4*b**2 + 2*b + 5. Let g be y(-4). Let f = g - d. Let z(u) = -2*u**2 - 3*u - 3. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 117*j + 1. What is w(1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170897918 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291395501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 23*f - 53. Let s be v(-23). Let a = s + 55. Solve 2*u - a = 3*h - 6*h, 3*h + 4 = -5*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20542*g - 20538*g - r = -84, -4*r - 104 = 4*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 15*y**2 + 11*y - 4. Is p(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/8 + m**3\/2 - 6*m**2 - 20*m. Let x(y) = 0. Calculate y.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 take away -4363637?\nAnswer: 4362357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = -g. Suppose -g*y = -152 - 68. What is the tens digit of (-20)\/(-8)*y\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 9. Let c = 15 + p. Let t be (0 - 1\/(-10))\/(12\/15). Sort t, c, -5\/2.\nAnswer: -5\/2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 i when four letters picked without replacement from aiqqqiiaqap?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:57 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -9*v + 82. Suppose -2*t + v = -133. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -49. Let a = c - -7. Sort -23, a, 2 in descending order.\nAnswer: a, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 21782.\nAnswer: -5, -4, 21782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2 + 3*v + v**3 - 15*v**2 + 1 + 29*v**2. Let b be x(-3). Are b and -2\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251 - -12. Let w be 438 - ((-11)\/(-33) - 1\/3). Let m = r + w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)\/d**3*d**(-7)*d\/(d**(-1\/6)*d)*d*d\/d**(2\/7)*d**(-2\/7)*(d**(-1))**(11\/6) assuming d is positive.\nAnswer: d**(-236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21 - -20)*2 + 0 + -1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from ccuxarmx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 + 5*f - 1. Let x be y(-6). Suppose 0*o - o = -x. What is the third smallest value in 2\/5, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5347 + 45?\nAnswer: 5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 - n**4\/24 - 17*n**3\/6 + 9*n**2 - 13. Suppose -h + 5 + 0 = 2*r, -10 = r - 2*h. Give a(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -966*g + 957*g + 306. Do g and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195 divided by -3?\nAnswer: 1195\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 368838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/((-15)\/10)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) -0.8 (d) -2\/21 (e) 0.2 (f) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 36723*s + 155397. Let a(b) = 2295*b + 9711. Let v(l) = 33*a(l) - 2*p(l). What is the derivative of v(y) wrt y?\nAnswer: 2289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003081 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + u + 5, -4*u = 36*q - 39*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i\/(i\/(i*i\/((i\/i**3*i*i)\/i)*i*i*i))*(i**1\/i)**35)**18 assuming i is positive.\nAnswer: i**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -10e?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1037.7 + 1038. What is the fourth smallest value in j, 11, -0.3, 32\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21810, -21804, -21794, -21780?\nAnswer: -21762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 3*p + 40. What is the highest common factor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 678 - 463. Let s = -147 + m. Let o(c) = -9*c + 1. Calculate the remainder when s is divided by o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*m - 4 = -40, 0 = 3*s + 5*m - 59. Let t = s - 14. Does 11 divide t\/5 + 392\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.1. Let c = 3.1 + x. Let o(h) = -h**3 - 5*h**2 - 9*h - 18. Let b be o(-4). Is c greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 171798*c + 4811128 = 0. What is c?\nAnswer: -171826, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 d when four letters picked without replacement from wwwwwdwwddww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 15*z + 3. What is the tens digit of n(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(72) - (sqrt(72) + -2*sqrt(72)) - sqrt(72)) - sqrt(72))\/((-2*sqrt(16))\/sqrt(4)) + -6*(sqrt(162)*-2 - (-4 + sqrt(72)\/sqrt(4))) + -1.\nAnswer: -25 + 267*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21324576239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*l + 398 = 0, -399 = 4*p - 0*l + l. Let o = p + -230. Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*o + 2)*(-4*o**2 + 4*o**2 - 2*o**3) + 5*o**4 - 3*o**4 + 0*o**4 + (2*o**2 - 2*o + 2*o)*(2*o + 3*o**2 - 2*o) + 4*o**4 + 2*o**4 + 0*o**4.\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 + 7*l + 10. Suppose 0 = 3*q - 16 - 158. What is the remainder when q is divided by g(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-20)\/12) - -15. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y**2 - 95*y**2 - 60*y**2 - 149*y**2 - y**3 to the form s*y + t + k*y**3 + l*y**2 and give l.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:37 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 681, 1347, 2025, 2721, 3441, 4191, 4977?\n\"Answer: a**3 + 659*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154.106 - 0.106. Let f = -151 + m. Sort f, -1.1, -1\/3.\nAnswer: -1.1, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -849745 and 0.55.\nAnswer: -467359.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.2.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.062268 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a3 (base 15) to base 4\nAnswer: -11322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2145 = 10*p + 235. Let g = p - -47. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 52*j - 48. Let b(a) = -6*a**2 - 106*a + 97. Let s(m) = 4*b(m) + 10*f(m). Factor s(h).\nAnswer: -4*(h - 23)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*f + 954*f - 1624 = 232 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - 3*k**4 - 2*k**4)*(3*k + 3*k - 4*k) - 177*k**5 + 88*k**5 + 5*k + 90*k**5.\nAnswer: -k**5 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1958 and 1602.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0.5 (c) 593 (d) 22 (e) -0.5 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 158.6.\nAnswer: -158.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.491015nm?\nAnswer: 0.000491015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 3348.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from 7248.5.\nAnswer: 7229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*y**2 - 68 + 182*y**2 + 10 in the form d*y + n*y**2 + i and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28044 and 240.\nAnswer: 560880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 89*z**9\/126 - 349*z**5\/60 - 347*z**2. What is the third derivative of d(u) wrt u?\nAnswer: 42720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-32.138\nAnswer: 3.2138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(242) + -2 - sqrt(242) - sqrt(2)) + (-4 + sqrt(16)\/sqrt(8))**2)*-4*5 + -1) + -2.\nAnswer: -180*sqrt(2) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36024590 + -3607.\nAnswer: -36028197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t)**(3\/10)\/(t**(-1\/5)\/t**(-19)) assuming t is positive.\nAnswer: t**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -19. Suppose z*a = 11*a + 4590. What are the prime factors of a?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, o: 3, z: 1, t: 3}. Give prob of sequence ztbb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c = 214 + 752 - 230 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.314111 nanoseconds in weeks?\nAnswer: 0.0000000000015745934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - -230. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 - 4*a + 3. Let x be j(2). Let l be 28\/20 + 2\/(-5). Solve x = q - l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y + 11740000. What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 47.2. Which is the nearest to -2\/3? (a) 0.5 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -49 - 5. Let l(h) = -7*h + 17. Let m(r) = -4*r + 9. Give k*l(s) - 11*m(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = -35*z + 244. Let g(q) be the second derivative of q**5 + 0*q**3 - 14\/15*q**6 + 0 + 4*q + 2\/3*q**z + 0*q**2. Factor g(c).\nAnswer: -4*c**2*(c - 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + d - 4. Let b(g) = -g**2 - g + 1. Let t(f) = -2*b(f) - v(f). Let k be t(3). Let w(i) = -i**3 - 4*i**2 + 3*i + 5. Calculate w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*119\/232050*-2050.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*b**3*l - 184*b**3 - 3*l**3 wrt l.\nAnswer: -12*b**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897, 898, 899, 900, 901, 902?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/3 - 7*z**4\/12 + 20*z. Find the third derivative of v(j) wrt j.\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665979169 to the power of 1\/2, to the nearest integer?\nAnswer: 40816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-8))\/((-1)\/(-138)). Let n be -17*3\/6*2. Let h = n + j. Does h = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let z(f) = 7*f - 4. Let v = -3794 + 3788. Determine v*d(y) + z(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**6\/165 - l**5\/55 - l**4\/66 - 8*l. Determine v, given that o(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 267 - 63. Let u = 15 - -7. Calculate the highest common divisor of u and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -725 divided by 176652.\nAnswer: -725\/176652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 1\/8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1290*a**3 - 159*a**2 + 21*a - 21. Let c(t) = 129*t**3 + 16*t**2 - 2*t + 2. Let f(u) = 21*c(u) + 2*s(u). What is the third derivative of f(j) wrt j?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - m + 1. Let t(n) = -4*n**3 + 2*n**2 - 6*n + 10. What is 5*a(g) - t(g)?\nAnswer: -g**3 + 3*g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101779, 203224, 304669, 406114?\nAnswer: 507559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12844 - 12823. Suppose 6*n - 5*n = 147. What is the highest common factor of n and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(10) - (sqrt(90) + sqrt(10)))\/sqrt(5) - (sqrt(2) - ((sqrt(2) - (-1*sqrt(2) + -4)) + sqrt(2)) - (sqrt(10) - 1*sqrt(10))\/sqrt(5)))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 1 = -5*j. Suppose 54 = 4*w - j. Calculate the remainder when w is divided by 10 + -1*4 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 21. Let t = i + 127. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**1*d*d)*d))**(-37))**(-6\/5) assuming d is positive.\nAnswer: d**(222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -11*g + 6*g + 3*s, -4*g - s + 44 = 0. Solve 0 = -4*w - g + 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10275245 is divided by 182.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2155 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5326d8 (base 14) to base 16.\nAnswer: 2ae556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**2 + 11*t - 55. Let q(f) = 66*f + 37. Calculate q(l(u)).\nAnswer: 726*u**2 + 726*u - 3593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.44682 take away 1081.7443?\nAnswer: -1084.19112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20461\/(-9480) + 209\/95?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u. Suppose -3 = s - 4. What is p(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a + 32 = 52*a. Let f = a + 14. What is the least common multiple of f and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306\/(-204)*(-7864)\/3.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4) - (-69)\/54. Let o = -45\/8 - -33\/8. Which is the closest to 2? (a) s (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - 108. Let z(j) = 2. Determine -2*t(d) - 108*z(d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**2 - 10*z**2 + 10*z**2)*(-2*z + 4*z - 4*z)*(2 + 1 - 2).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -0.067, -8, -0.12125, -0.5, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 2*v - 2*w, -4*v + 80*w + 227 = 79*w. Solve 78 = 43*p - v*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = 4. Suppose 0 = -2*k - 5*j - 3, 0 = -j + 5*j - 4. Let i be (-2)\/4*k\/w. Put 4, i, 2\/5 in descending order.\nAnswer: 4, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 964 + 4139 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 1. Let o(m) = 10*m - 3. Let r be o(2). Suppose 5*d + 2 = r. What is the units digit of i(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 613. Let r be t(0). Let d(p) = -7*p**2 + 3 - 613*p + r*p. Let b(h) = h. Let m(c) = -2*c. Let n(z) = 7*b(z) + 3*m(z). Determine d(n(l)).\nAnswer: -7*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-16)*y**(-2\/15)*(y**(-4\/3)\/y)\/y assuming y is positive.\nAnswer: y**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-1*(-3)\/(-24)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1327 and 0.076.\nAnswer: 1327.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 894 + -26. Suppose 0*f + 4*f = 2244. Let m = a - f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/16 + 2\/(-4). Suppose -31 = -q*i - 4. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 90*d + 7. Let c(u) = u**2 + 75*u + 6. Let b(l) = 6*c(l) - 5*f(l). Let x(t) = 6*t**2 + 4*t + 5. What is -4*b(m) + x(m)?\nAnswer: 2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.278 - 2.422. Let w = 2.7361 + u. What is w rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**3 - 3*g + 15*g**3 + 4*g + (0 + 0 - 3*g**3)*(3 - 2 - 14) to f*g + i*g**3 + x + t*g**2 and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3711 and 70\/27.\nAnswer: 33399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)*o*o\/(o\/o**(-4)*o)*o*o**0*o\/o**(-3\/5))\/(o**(3\/8)\/((o**(3\/7)\/o)\/o)*o**(1\/2)\/(o*o**(1\/2)\/o*o)) assuming o is positive.\nAnswer: o**(-657\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 5*l + 4*l)*(3 - 6 - 2) + 15*l + 6*l + 8*l to the form g*l + t and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*h, h - 2 = -j - 0*h. Solve k - j = 3*q, -3*k - 2*q = -2*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i + 1. Let h(v) be the second derivative of -5*v**4\/12 - v**3 + 2*v**2 - 24*v. Let m(y) = h(y) - 4*j(y). Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -7510?\nAnswer: 7504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065197 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742734319.\nAnswer: 1601, 463919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304 - 286. Suppose 214 = 5*r + 2*a, -a = 2*r - 3*a - 80. Calculate the least common multiple of x and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17097060*z + 17097060*z - 16*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -533232?\nAnswer: 533223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.0391. What is w rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d - 86*d**4 + 7*d**4 - d + 53*d**4 - 1 - 101*d**4 wrt d.\nAnswer: -1524*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 7*w - 1 + 1 + 29*w + 1. Is 16 a factor of o(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12187350 divided by -27825.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 2*l**2 - 4*l + 246. Let f(s) = s**3 - 4*s**2 + 2*s + 1. Give -f(b) - t(b).\nAnswer: -2*b**3 + 2*b**2 + 2*b - 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2500921345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w. Let l be w*(-1 - 6\/(-4)). Suppose l*d - 4 = -2*q + 2*d, -5*d - 4 = -3*q. Solve -16 = 4*z + 2*j - q*j, 4*z = -4*j - 36 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6590873.30000112 + 6590874. Let k = 17.3 + -18. Let v = k + l. Round v to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -215, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333)\/11100)\/(9\/8).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**3 + f**3 - 2*f**3 + (-5*f - f + 5*f)*(-f + f - 2*f**2) - 83*f**3 + 106*f**3 - 435*f**3.\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*c - 19 + 1, -2*z = 2. Let q be (329 - c)*(-2)\/(-1). What is the units digit of 1\/((-660)\/q + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -152*u - 2. Let s(l) = -147*l - 3. Determine 5*q(o) - 4*s(o).\nAnswer: -172*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/700 and 101\/145960.\nAnswer: 5108600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 + 2*g + 2. Let t be j(-3). Let o be ((-3)\/18*-4)\/((-2)\/(-3)). Let u = t + o. Solve 5*c - 3*n + u = -2*n, -3*c - n = 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*z - 51937 - 155*z + 17307 + 17315 + 17315.\nAnswer: -231*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*i + 36 = 0, -2*i - 130 = -3*q + 15*q - 4*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 11. Let d = 23 - v. What is the remainder when 30 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684217 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -i. What are the prime factors of i*78*1\/4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/2 - -15. Let d = -63 - -62. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/7 + (-1352)\/(-1183) - (-88)\/18.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 2. Let u be ((-2)\/1)\/(-2)*-2. Let j(g) = 0 + 0 - 1. Calculate u*j(d) - l(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 41974?\nAnswer: -41975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 17*d + 10. Let s(v) = 2. What is l(o) - 5*s(o)?\nAnswer: -o**3 + 17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:31 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - q**5 - q**5 + 0*q**3 - 3*q**5 + 0*q**3 + (2*q**3 + 0*q + 0*q)*(3*q**2 - 2*q**2 + 0*q**2) - 3*q**5 - 604*q + 604*q + 51.\nAnswer: -7*q**5 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254441.\nAnswer: 7, 139, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 16*k - 24 = 4*g, 0 = g - 2 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -43, -21, -1, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2.621899.\nAnswer: -2.621899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*f = 177*f - 42 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -133.7. What is l rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) 3\/2 (b) 0 (c) 2\/13 (d) -2\/15 (e) -73 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 8.2\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 15, -3055, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 + 69 + 3*a**4 - a**4 + a + 33 - 154 as i*a**3 + z + m*a + g*a**4 + x*a**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 4564.049 rounded to the nearest ten?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12 + 0)*24\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 5*n. Let d be -3 - -1 - 1*-4. Suppose -d*w - 9 = 3. Is i(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 20\/14) + 981642\/2065. Let o = -475 + m. Let c = o - 48\/385. Are 0 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/3 - 5*h**2\/2 + 3*h. What is the least common multiple of 6 and t(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.7779 + 13.878. Let x = -20.9 + 19. Let a = l - x. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/((-2144)\/48)*-12. Is 0 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2414 or -2411?\nAnswer: -2414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*w = -w - 9, -3*r = 2*w - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5577 and 193167.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3128296 and 3912.\nAnswer: 9384888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1*1 - 1. Let g = 0.4 - 0.4. Let v be (-40)\/275*25\/10*(-3)\/6. Put y, g, 3\/5, v in decreasing order.\nAnswer: 3\/5, v, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5200 and 13390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14843?\nAnswer: 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(2\/27)\/(x**(-1\/5)\/x**15))**28 assuming x is positive.\nAnswer: x**(18872\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -1433.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 10. Let v = b + 6. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-616)\/16)\/((-48)\/360*(-5)\/(-36)). Solve c*u + 42 = 2093*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7954079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9 - 2 - 7 + 2*j + 6*j**2. Let a be k(3). Suppose -5*v - 5 + 30 = 0, 5*o - v = a. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 294 + 90 = 0. What is the highest common divisor of p and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 2*c - 2. Let y(x) = -3*x - 6. Let q(m) = -3*m - 7. Let d(f) = 4*q(f) - 5*y(f). What is -2*d(r) - 3*z(r)?\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, 3\/13, 0, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 1, 6, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + j + 0*j + 51 = 0, 2*j - 80 = -3*x. Let k(t) = 8*t - x + 0*t + 0*t. What is the tens digit of k(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 2\/7 (b) -10 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 18864*s**2\/7 - 4241700*s - 118465968\/7.\nAnswer: -3*(s + 4)*(s + 3142)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**9\/7560 - j**8\/3360 + j**7\/1260 + j**6\/360 + j**4\/8 - 4*j**2. Let b(u) be the second derivative of v(u). Factor b(k).\nAnswer: -2*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-15)\/((-45)\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275\/28 - 1317\/140. Let d = i + -3609\/770. Find the common denominator of -11\/9 and d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11009 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 4*a - 1 - 4*a**2 + 2*a - 4*a + 6*a**3. Give f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:43 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3627 + -3332. What is the greatest common factor of m and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4))**11 assuming u is positive.\nAnswer: u**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237235 or 237241?\nAnswer: 237235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 0*f + 6 - 1 - 2. Calculate c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let o(r) = -2*r**c - 3*r + 3*r. Let t(q) = 0*q**2 - 4*q**2 + 7*q**2 - q**2. Give o(t(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i + 27*i - 3*i + 3*i + i + (2*i - 1 + 1)*(5 - 2 - 5).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 1671\/413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:14 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 54*c**3 - 2 + 2*c**2 - 360*c + 48*c**3 + 348*c - 104*c**3 + 4*c**4 to d*c**4 + w*c**2 + h*c + r + i*c**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -41. Suppose 55 = 7*z - 1. What is the remainder when q is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-232)\/(-1218))*(-516)\/(-42)?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3234 and 0.05067?\nAnswer: -163.86678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(135))\/sqrt(3).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 5 - (-6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 4}. What is prob of picking 2 g and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 28.1. Let l = 4.7 - d. Round l to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 + 1)*(1 + 2*f - 1) + f - 2*f - f + (2 - 4 + 4)*(0*f + f + 0*f) + 5*f - 2*f - f to s*f + r and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 2*m)*(6 - 2 - 1)*(-2*m - 3*m + 0*m)*(4*m + 4*m - 4*m)*(-2*m - 1 + 1) in the form d*m**2 + j*m + t + q*m**3 + w*m**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 8, j: 1}. Give prob of picking 1 j and 3 w.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/(s*s\/(s**(2\/13)\/s)))))*s)**(20\/9)\/((s*s*s**(-2\/43)*s*s*s)\/(s**(-7)\/s)) assuming s is positive.\nAnswer: s**(-22169\/5031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3\/(-6) - 0. Let f be 15 + (o - 2 - 0). Suppose 4*c - 3*z - 26 = 0, -5*z + f - 4 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22654608?\nAnswer: 2, 3, 17, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/6))**(-9\/5)\/(i*i\/(i*i\/i**(-2\/13))*i*i**(-2)*i))**(-24) assuming i is positive.\nAnswer: i**(420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 53*z**2 - 4. Let u(y) = 12433*y**2. Determine w(u(d)).\nAnswer: 8192712917*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*s + 214 = 0, s - 38 = -5*b + 170. Calculate the smallest common multiple of 91 and b.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.14 and -0.6.\nAnswer: -13.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130457 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (1 + -1)\/(-3). Suppose 4 = x*k - 4*k. Let m be 1*k*(-6)\/(-8). Let d(j) = 5*j + 3. Give d(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3139 = -108*i + 273*i + 656 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6271.23 micrometers?\nAnswer: 6271230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let i(n) = 5*n + 1. Let w(y) = y. Let v(x) = i(x) - 2*w(x). Let g be v(z). What is the greatest common divisor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h - 96 = 0. Suppose c + 4*q = -0*q - 42, c + 39 = -3*q. Let n be (-1240)\/(-52) + (c\/(-65))\/3. What is the greatest common divisor of n and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k + 467. Let z be a(44). What is the greatest common divisor of 1107 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185432 by -5.\nAnswer: -185432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358523\/20 + 17931. Calculate the common denominator of 47\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826654488 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0*v - 3*v + (-2 + 5 - 2)*(0*v + 0*v - v) - 4*v - v + 3*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -394131777.39 minus 10?\nAnswer: -394131787.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)*u**(-2))\/((u\/u**(1\/6))\/u*((u\/(u\/(u**(1\/5)\/u)))\/u)\/u) assuming u is positive.\nAnswer: u**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 2*l**2 + 2*l - 1. Let o(u) = 2*u**3 - 3*u**2 + 3*u. Give -3*b(r) + 2*o(r).\nAnswer: -5*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*p**3 + 6*p**2 - 816*p**3 + 5*p**2 + 4*p**2 - 14*p**2 in the form d*p**3 + b + m*p + f*p**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11803 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: Expand (-5*a - 28*a + 9*a)*(4 + 1 - 11*a - 5).\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2522\/9 + 280. Which is the closest to 0? (a) -23 (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:43 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 799448 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: What is -0.04689465 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -3*r - 2*d, -3*r - d + 10 = 0. Solve -7 - 8 = -r*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4453549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 1. Let j be (-3)\/((-42)\/q*2). Is -1\/3 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 4 = -h - 3*c, -2*h + 44 = -5*c. Solve -2*l = 6, i - h = -4*i - l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*l - 4*p, 17*p - 15*p = -3*l - 16. Put 25, 8, 1, l, 5 in ascending order.\nAnswer: l, 1, 5, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w - 6 = -41*w. Suppose -w*p + 3*p = 500. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 282088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = g - 19*f, -14*g + 16*g + 5*f - 26 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*((4 + 1*sqrt(243) - (1 + sqrt(243) + sqrt(243) + 0)) + (-4*-2*sqrt(243) - sqrt(243)) + -3))**2.\nAnswer: -216*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 12*b - 771. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**2 + 3*t**2)*(-3 + 5 - 1)*(-6 + 0 - 5).\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*q**5 + 274*q**4 + q**3 - 22*q**2 + 1315 wrt q?\nAnswer: -1500*q**2 + 6576*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81804343*n**2 + 44735757?\nAnswer: -163608686*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256125, 512283, 768441, 1024599?\nAnswer: 1280757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 15*r**2 + 80*r - 460. Calculate f(7).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1258 by 34.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13248335 is divided by 547?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -i - 13*z + 14*z, 4*i = -5*z - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*w**2 - 37*w + 59*w**2 + 46*w + 21 + 10 to the form r*w + s + n*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34472 and 2728.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = 5. Let y = 1249 - 664. Let q = y + -590. Sort 0.07, q, c.\nAnswer: q, 0.07, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**4 - 2*l**4 - 2*l**4)*((-11 + 13 + 17)*(1 - 1 - 2) - 26 + 118 + 50).\nAnswer: 208*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65657289 and 0.02.\nAnswer: -65657288.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12852 + 2*v**3 + 62*v**2 - 25701 + 12852 - 335*v**2.\nAnswer: 2*v**3 - 273*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/(((-5)\/15)\/(-1)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 1, y: 1, u: 7, m: 2, x: 5}. What is prob of sequence uy?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-18)\/14 + (-87420)\/329. Let d = -108 - a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 7*u - 257 = 4, 0 = -h - 5*u + 13359771 - 13359956 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 296\/60 + (-27)\/(-405). Solve -13 = 2*q - d - 1, q = m*d - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 254, 0.2, -1\/7, -1\/2 in descending order.\nAnswer: 254, 0.2, 0.1, -1\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/3 (b) -2\/12115 (c) -5 (d) -0.04 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4640, -18709, -42212, -75149, -117520?\n\"Answer: -4717*a**2 + 82*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*i + 1521*i - 72 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2\/11, -70.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 e when four letters picked without replacement from vvveeevveeveevee.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -533 + 9*y**4 - y**2 - 537 + 1068 to the form j*y**4 + b*y**2 + u*y**3 + i*y + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 120*b - 65*b - 63*b = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 1110. Suppose -g = -11 - s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*h = -433 - 463 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97651*h**5 - 20*h - 146?\nAnswer: 1953020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzyfeau. Give prob of sequence yea.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d**3 - 18*d + 2545?\nAnswer: -33*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/15 + 19*b**4\/3 - 26*b**3 - 29*b**2 + 11. Factor u(z).\nAnswer: 4*(z - 1)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191\/(-3)*(-72)\/(24\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u + 11. Let a(z) = -20*z - 17. Calculate -5*a(f) - 7*l(f).\nAnswer: 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-6))*a*a**(3\/2)*a)**(-42) assuming a is positive.\nAnswer: a**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533074920 less than 2041?\nAnswer: -1533072879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7624*s = 220198 + 214370 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 32 = 14*t. Solve 10 = -t*f - 5*p + 43, -5*p = 5*f - 35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:57 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50213 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i - 3*i + 40 - 41.\nAnswer: -26*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1460250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let p(x) = -29*x + 8 + r - 4 - 9*x. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12012 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = -33. Sort o, -2\/17, -0.1 in descending order.\nAnswer: -0.1, -2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c\/((c*c**10)\/c*c))\/c)\/c)**(-17)*(((c*c*c**(-8\/9)*c)\/c)\/c*c)\/c**(-1\/6))**(11\/3) assuming c is positive.\nAnswer: c**(33913\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**11)\/j**(-5\/2))**(-12) assuming j is positive.\nAnswer: j**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6448, -13061, -19684, -26323, -32984, -39673, -46396, -53159?\nAnswer: -59968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 2 - 1 - 13*r**3 + 2 to the form d*r + v*r**3 + u + l*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*v = -3*v + 30, 0 = 3*v. Let d = -30 + 20. Let z be d\/(-4) + (-3)\/s. Solve 0 = -0*n - z*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50476184 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/((-1)\/21). Let n be 7974\/w - 6\/(-21). What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-20\/9))\/c**(1\/12) assuming c is positive.\nAnswer: c**(-47\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 53. Suppose 32 = 5*s - 4*d - 0*d, 3*s - 3*d = w. What is the second derivative of 4*u - 42*u**s + 12*u**5 + 42*u**4 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by -24*(35\/(-4))\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -32?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 303*f**3 + 3*f**2 - 1. Suppose -8*g + 10*g = 2. Let s be o(g). Let l = s + -72. What are the prime factors of l?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {g: 1, i: 18}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303551 divided by -9.\nAnswer: -303551\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8388 - 6222. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.42 + 2.426. Let p = 0.194 + k. Which is the nearest to 0.1? (a) 1\/6 (b) p (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose 4 = 4*z, s - 1 - 1 = z. Solve -p + 9 = -s*o, h = 2*p - 3*p - 5*o - 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obboboobbb. What is prob of picking 2 b and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/2 + 15*b**4 - 43*b**3\/2 - 188*b**2 - 54*b + 248 = 0.\nAnswer: -31, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20625 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 137516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.78 - 19.8. What is the nearest to -0.1 in -1\/6, c, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594*k + 595*k = -7, 5*i = -k + 128. Let j = -23 + 56. What is the lowest common multiple of j and i?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 6*v + 7. Let f be q(6). Suppose -2*j = -5*b - 11, -b = -4*j + 2*j + f. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210997 * -229.\nAnswer: 48318313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/(-140) + (-3)\/10*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) 1 (b) -1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*m**2 - 4 + 4 + 550*m**2 - 1097*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*f**3 - 1455*f**3 + 484*f**3 - 501*f**3.\nAnswer: -2307*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2805131*c. Let g(u) = 4*u. What is g(w(v))?\nAnswer: -11220524*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 - 6*w**4 - 2\/3*w**5 + 380\/3*w**2 + 50*w + 4*w**3 = 0 for w.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 + 7*c**3\/3 - c**2\/2 + 2772*c. Calculate x(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799181001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 277, 14, 57 in descending order.\nAnswer: 277, 57, 16, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/3304 and -119\/216?\nAnswer: 89208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/11573981?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidiiddiiiiiiiiiii. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2 + 3 + 0). Let s(l) be the first derivative of -l**4\/4 - 5*l**3\/3 + 9*l**2\/2 + 9*l - 2025. Give s(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let n = q + 3. Suppose 5*y = -b + 100, -b + n*b - 3*y - 200 = 0. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 0.77. Let b = h - -0.7. What is the closest to -2\/3 in -4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 69, -5 in increasing order.\nAnswer: -5, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 2. Let y(j) = -19 + j - 20 + 63 - 22. Calculate 6*f(s) - 5*y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -4, 216, 0.153?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7293\/5 + 1464. Find the common denominator of y and -5*(0 + (-84)\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/7185 - 6431\/2708745. Let j = 1145\/5278 + d. Let k = 155 - 155. Is k at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007214599 rounded to seven decimal places?\nAnswer: -0.0000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-3 + 2 - 4)*((-c**2 + 4*c**2 - 2*c**2)*(3 - 3 + c**2) + 2*c**4 - c**4 - 3*c**4).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1697 and -5.\nAnswer: 0.8485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = 2*u, -3166*w + 6326*w + 3 = 3165*w - 11*u for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 - 285*q - 98900 = 0.\nAnswer: -115, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**3 - k**2. Let z be j(2). Let p = -21 + z. What is the remainder when (-59)\/((4 - 7) + 2) is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58512? (a) 0.2 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 193. Let p be ((-2)\/(-1))\/((-4)\/i). Let z = p + -31. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 415\/7. Let i(s) = -s + 52. Let k be i(36). Let p be (3\/(-12)*-21)\/((-6)\/k). Which is the smallest value? (a) p (b) -1 (c) -1\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24500 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*v**5 + 218461*v**3 + 64320654*v wrt v.\nAnswer: 3060*v**3 + 1310766*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 + 1. Let k(u) = 4*u**3 - 4*u**2 - u + 2. Let b be (5 - 4)\/(2\/2). Give b*k(z) - 2*h(z).\nAnswer: 2*z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/7, -728?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, w: 6, l: 2, o: 2, x: 1}. What is prob of sequence xyoo?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {j: 1, c: 1, l: 1, t: 1, b: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12936.873 months in millennia?\nAnswer: 1.07807275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726019, 1451968, 2177917, 2903866, 3629815?\nAnswer: 4355764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1182715480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96.3 - -97. Let k = -0.8 + w. Let o = -0.4 + 0.2. Which is the closest to k? (a) 5 (b) o (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 21*x + 4. Let u be b(-11). Let p = u + 110. Suppose -p*h = 3*k - 28, 5*h + 5*k = k + 36. Solve 0 = h*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.5. Let r = -0.2 - m. Which is the nearest to r? (a) -2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:35 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -91. Let j be (-7)\/(14\/544) + -2 + c. Let x = j + 410. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {c: 3, q: 4, y: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*x**3 - 604*x**4 + 3*x - x**3 + 601*x**4 - 8*x**2 + 2*x**3 - 3*x**3 to the form o*x**2 + f + c*x**4 + j*x**3 + q*x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + h**2 - 3*h**2)*(-1713*h + 1159*h - 13579*h - 11567*h) to t*h + y*h**2 + l + p*h**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/(-2)*(-130)\/(-39)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 8. Let m be z(0). Suppose 3*p = -2*y + 21 + 34, 3*y + 22 = p. Let i = p + m. Solve r - c = 6*r - 12, 4*r = 5*c + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/28*8\/(-6). Which is the closest to w? (a) 0.5 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 8 - 4*g**2 - 3 + 3*g**2 - 4*g + 4*g + 0 + 0 + g**2 - g + g**2 + g + (0 + 0 + g)*(3*g + 4*g - 5*g).\nAnswer: 3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 50.85583?\nAnswer: -50.35583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - 7. Calculate c(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12 - 37*l**2 + 63*l**2 - 12. Let b(p) = -2*p. Give x(b(w)).\nAnswer: 104*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 107 = -3*p + 3*l + 78, -6*l - 224 = -4*p for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1112 = r - 18067. Suppose 2*j - r = 18055. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 + 1 - -5 - -2 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*f**4 + 430*f**4 + 237 + f - 218*f**4 - 4*f**3 wrt f.\nAnswer: -132*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51 + (3 + -4)*1. Let b = 45 - w. Let j be -5*(3\/b)\/3. Solve -c - j = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 w when four letters picked without replacement from wwrwwrrrrwwrr?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2\/9, 2\/63, 831, 1\/5 in increasing order.\nAnswer: -2\/9, 2\/63, 0.11, 1\/5, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:57 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w + 0 + 2\/3*w**3 - w**2 - 1\/8*w**4. Suppose -3*j + 0*j = -9. What is z(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 10*f + 3. What is h(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 53*a + 122. What is y(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13131 divided by -3.\nAnswer: 4377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**2 - 6*b + 7. Let z(p) = -23*p**2 - 13*p + 15. Let g(k) = 13*x(k) - 6*z(k). Let a = -6 - -4. Let h = a + 3. Give g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -0.3 (c) -4523 (d) -5 (e) 0 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = 0. Let n be 3\/(-6*1\/(-8)). Suppose x + 5*d = -1, n*d + 18 = 4*x + 2*d. Sort -5, x, b.\nAnswer: -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10405 or 10404?\nAnswer: 10404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19880 divided by 49\nAnswer: 2840\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(475) + 2)**2 - (1 + sqrt(1539))**2) - ((2*sqrt(2736))**2 + 4 + (5 + -2 + sqrt(2736))**2).\nAnswer: -8388 - 82*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 2, b: 1, x: 1, g: 2, q: 1}. What is prob of picking 1 b and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = 4*h - 5*h, 5*h + 2*s + 1 = 0. Let j(z) = -8*z**2 - 2*z - 2. Let n(l) = l**2. Calculate h*j(w) - 12*n(w).\nAnswer: -4*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-1\/4)*z**6*z*z\/(z*z**3*z)*z**(2\/23)*z assuming z is positive.\nAnswer: z**(491\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 8:57 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 10, -3, -56124.7 in decreasing order.\nAnswer: 10, 1, 0.2, -3, -56124.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1011010111110101101100 (base 2) to base 4\nAnswer: 23113311230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -155734440?\nAnswer: 155734423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -0.7. Let g(z) = z**2. Let m(w) = w**3 - 4*w**2 + 7*w - 5. Let r(b) = 2*g(b) - m(b). Let c be r(5). What is the nearest to 0.2 in 0.5, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 62, 43, -266, 1, 2\/9, 3 in increasing order.\nAnswer: -266, -5, 2\/9, 1, 3, 43, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 4, -0.3, 38\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(-2*b**2 + b**2 - b**2) - b**2 - 2*b + 2*b)*(2*b + 0*b - b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - f**2 - 19*f - 80. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1339 + 825 = 4*v + 420. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 24. Let z be f(11). Suppose z*m = 5*c + 82, -6*c = m - 9*c - 42. Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 84, 130, 176, 222, 268?\n\"Answer: 46*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14767.\nAnswer: 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2719\/5 + -16559\/30. Let m = -6292303\/97840 - -1029\/16. Let c = -262969\/73380 + m. Calculate the common denominator of n and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 61613*c**3*f**3 - 566*c**2*f + 67*c*f**3 wrt c?\nAnswer: -120*c**2 - 369678*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -69, 4, -3 in decreasing order.\nAnswer: 5, 4, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**6\/225 + 2*t**4\/45 - 37*t. Factor g(f).\nAnswer: -2*f**2*(f - 2)*(f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 8. Suppose 26 = 4*k + 3*x - y*x, 0 = 4*k - 5*x - 38. Let t(v) = 3*v**2 + 6*v - 10. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 111*n + 220. Suppose -5*x - a = -48, -4 = -3*x + 4*a + 34. Calculate the smallest common multiple of x and u(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 25\/3. Let q = -63.8 + 64. What is the nearest to x in 4, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*u + 21, 2*u - 2*t - t = 3. Let f be (-8)\/6 - 603\/(-402). Which is the third smallest value? (a) u (b) -3\/8 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 14. Calculate the least common multiple of v(-6) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v + 2. Let d be u(1). Let k = 1 + 4. Suppose 3*c - 4*c + 17 = k*b, 37 = 5*c + b. What is the greatest common factor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02274 (b) -4 (c) 1\/6 (d) -2\/25 (e) 3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233268.4261 plus 2.08?\nAnswer: 233270.5061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 5}. What is prob of picking 1 e and 1 d?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -3\/5 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c41424 (base 13) in base 16?\nAnswer: 8f6cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 242, -2\/6455 in increasing order.\nAnswer: -1, -2\/5, -2\/6455, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) -4 (b) -1\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 91. What is the highest common divisor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/(c\/(c\/c**(6\/17)*c*c))*(c**(-2\/3))**(-4))**20 assuming c is positive.\nAnswer: c**(-2740\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, 1\/11, -2, 9?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 0 + 0*c**3 - 1\/15*c**5 - 9*c**2 - 1\/18*c**4. Determine a so that n(a) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203751\/35 > -34392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46669 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 9*h**6\/20 - 171*h**5\/20 + 55*h**4\/2 - 16*h**3 - 189*h**2 - 3. Let q(m) = 0. Calculate m.\nAnswer: 1\/6, 4\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:45 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**2 - m. Let f be r(-1). Solve 3*c = -c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 - 262. Suppose 6*b - 14 = f*k + 10*b, 3*k + 2*b + 25 = 0. Let d = 0 - 6. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48126212.\nAnswer: 2, 23, 409, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4.6. Let h = 242 + -242.03. Which is the third smallest value? (a) 1 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8801000\/(-195))\/((-1)\/15). What is j rounded to the nearest 10000?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2344 + -404.649\nAnswer: -404.8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*n + 12, -18 = -58*n + 60*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = -k, 5*k - 5 = 6*k + 3*d. Is 5\/103 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 9*p - 9*p)*(3 - 4 + 2)*(0 + 5 - 4)*(-4 + 0 + 2) to x + z*p + s*p**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 1399136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 142 = 94. Suppose -3*l + 2*t = -76, -4*t + 40 + 4 = l. Suppose l = 3*p + 5*g, 4*p + g + 4*g = 29. Solve 1 + p = -c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v + 7. Let z be q(5). Suppose 294*j - 14 = -111*j - 14. Suppose 9*b - z*b - 10 = j. Solve b*y = -r - 17, -r + 4*r = -2*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131 and 0.058.\nAnswer: 7.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*21*2\/(-6). Let l = -5 + h. Let m be 4\/8*(l - -4). What is the highest common divisor of 24 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 71?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420667.\nAnswer: 3, 101, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -36. Let n = -98 + 203. Suppose -3*v + 84 = -4*y + 2*v, -5*y - n = -5*v. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720155696?\nAnswer: 2, 13, 3462287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:08 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120084 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -23, 2, 0.2, 7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45933*q = -45587*q + 346 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170866464?\nAnswer: 2, 1021, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2\/2 + 6. Let r(a) = 3*a**2. Give q(r(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/2)*r*r\/(r*r\/((r**(-2)*r*r)\/r)))\/(r\/(r\/((r*r**1)\/r)))**14)**36 assuming r is positive.\nAnswer: r**(-486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:37 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-6)\/(-4))*22. Suppose -o*i = -7*i - 28. Find the second derivative of -16*l - 10*l + 28*l - i*l**5 - 2*l**5 wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/23*(-60)\/(-5760)*48\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 77 = 5*h - 2*k, 0 = -h + 5*k + 33. Let q = -13 + h. Which is smaller: q or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 divided by 8?\nAnswer: 299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -10*k - 440. What is the tens digit of k\/(-6)*(-225)\/(-50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3*t - 3. Let u be o(3). Which is bigger: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 301?\nAnswer: -300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 14003185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-462)\/55*(-110)\/(-4). Let b = s + 233. Suppose 4*u - u = 12. Put u, b, -6 in decreasing order.\nAnswer: u, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {g: 2, b: 1, f: 1, i: 1, p: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1273865 - -2509513923\/1970. What is the common denominator of 97\/6 and d?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/14 + (-148)\/(-370) + (-84)\/10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 2\/923, 4?\nAnswer: 2\/923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0556 + 0.4364. Let o = a - 0.272. What is the third smallest value in o, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -640789*h**2 + 216769 wrt h?\nAnswer: -1281578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1761 + 1761 - 199*i**4 + 0 + 0 - 2*i**4 + (-i**4 + 3 - 3)*(-1 - 1 + 3).\nAnswer: -202*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m. Let q = 23 - 4. Suppose 3*v - 2 = 2*j + 5*v, 0 = j - 4*v - q. Let f(i) = 17*i. Calculate j*f(a) + 8*z(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 14005*w + 14002*w = 26, -2*m = 4*w - 26 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(63)\/sqrt(3) - sqrt(21))\/(sqrt(147)*2).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 984310.5 times 3\nAnswer: 2952931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12646345400 rounded to the nearest 1000000?\nAnswer: 12646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, -17\/6, 0.2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25643 + -0.3?\nAnswer: -25643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573389740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -0.0878, 3, -5\/3 in decreasing order.\nAnswer: 3, -0.0878, -0.16, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 6*x**5 + 3*x**5 + (-x**2 + x**2 - x**5)*(1 - 3 + 1) + 15*x**4 - 34*x**4 + 22*x**4 - 40*x**5 - 8*x**5 - 5*x**5 - 11*x**5.\nAnswer: -65*x**5 + 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15465 smaller than -18804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 23) + 12 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 6*h - 8. Let b be a(-4). Suppose b = -7*w + 208 - 75. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 13*c**5\/60 - 2*c**2 + 6. Let o(i) be the second derivative of l(i). Let b(k) = k. Calculate o(b(v)).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 12. Suppose -v*r + 31 = -4*o - 1, -4*o + 16 = 2*r. Calculate the smallest common multiple of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-742)\/280 - (-14)\/10) + 114\/104. Which is the nearest to 14? (a) g (b) 3 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 499512 divided by 83\nAnswer: 499512\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = -2*t, 19 = -5*t + 5*u - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a\/(-26) + 6\/4. Let v be c(r). Solve 0*g = -4*g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 10. Suppose -f*u + 3*u = 0. Solve -17 = g + 5*k - 2, u = -5*k - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/5*x**2 + 0 - 24*x + 2\/5*x**3.\nAnswer: 2*x*(x - 30)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 112 = 4*a, 0*a + 4*a = -5*t + 88. Suppose 2 = 2*h + 4*p - t, 3*h + 11 = 5*p. Solve -5*w = -h*n, -3*w + n + 7 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 1. Let t(j) = 6*j - 1 - 1 - 6 + 2. Let h(c) = -c - 2. Let n be h(4). Let y(z) = n*a(z) - t(z). Let q(g) = -6*g**2. Calculate y(q(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435053.4 nanometers to meters.\nAnswer: 0.0004350534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let q(v) = 21*v**2 - 42*v. Let b(w) = -w**2 + w. Let y(p) = -42*b(p) - q(p). Determine y(h(g)).\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let d(a) = -a + 4 + 2*a + t + 7*a. What is the units digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29504 divided by 3\nAnswer: 29504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 9) to base 16.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9899 at most as big as 9903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 4, s: 2, d: 1, h: 5, v: 2}. What is prob of sequence vd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 9 - 4. Let x be (3*(-2 - -1))\/r. Suppose 24 = x*u + u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from uduquzuxuz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 15. Let h be i(-10). Let s = -8 - -11. Suppose s + h = 3*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/27, 36.6, -0.01 in ascending order.\nAnswer: -0.01, 2\/27, 2, 36.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119\/3? (a) -0.7 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -271\nAnswer: 21\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (14 - -2)) + 34\/(-51)?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1081*h - 3278. Let i(a) = -a. Give g(i(d)).\nAnswer: -1081*d - 3278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(75) + (2*sqrt(75))**2 - sqrt(75)) + -2 + -2*(-1 + sqrt(75)))*-5.\nAnswer: -1470 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*w + 100*w - 57*w - 68*w - 71*w + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = g - 18. What is the nearest to 0 in 3, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 89 = -v + 3*z, -2*v + 2*z + 198 = 0. Suppose -4*g - 4*f = -2*g - 44, v = 5*g + 4*f. Calculate the remainder when 58 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 + 5*u**3\/3 - u**2 - 5*u\/3 + 4\/3.\nAnswer: -(u - 4)*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1715350 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -44840*b**3 - 118*b**2 - 59*b. Let w(a) = -2242*a**3 - 6*a**2 - 3*a. Calculate -3*q(f) + 59*w(f).\nAnswer: 2242*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Suppose -h*g = g - 10. Let f = g + 0. Put -1, -3, f in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.22 + -65.61415877.\nAnswer: -64.39415877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2332331000 - 10?\nAnswer: -2332331010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 141311033231?\nAnswer: 141311033234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ea - e?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 185*k**2 - 304*k + 231. Give o(60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 112 = 5*h + 2*y, -4*y = -8. Which is the smallest value? (a) 5 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/15 - o**3\/6 - 8*o**2. Calculate s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(50) + -1 + -3).\nAnswer: -30 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/11 - 14*p**2 - 3182*p\/11 - 8214\/11 = 0. What is p?\nAnswer: -37, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (136\/(-10))\/(4\/(-30)). Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.546385 rounded to 2 decimal places?\nAnswer: 27.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 1247, 1243, 1239, 1235?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + (-27)\/(-18). Let k(m) = 40*m**3 - 2*m**2 + 2*m - 20. Let o be k(6). Suppose -4*x = -x + u*g - o, 0 = x - 3*g - 2835. Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 + y**2)*(3 + 0 - 1)*(-2 + 3 + 1)*(3 + 1 - 2).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 9. Let i be l(5). Suppose 0*u - 22 = 4*u - 3*o, 3*o = -u + 2. Let p be ((-8)\/(-10))\/(u\/(-130)). Does p = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljjl when four letters picked without replacement from {j: 2, l: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.19. Let j = r + 0.01. Sort 0.5, j, -5 in decreasing order.\nAnswer: 0.5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 60 + 0)*(-45*s + 7*s + 4*s - 22*s) in the form c*s + x and give c.\nAnswer: 2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2847317.4\nAnswer: -2847305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c + 15*c - 3*c**2. Let z(k) = -k**2 + 3. Let a(m) = -8 + 4*m - 4*m + 28*m**2 - 26*m**2. Let x(s) = -3*a(s) - 8*z(s). Give x(q(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11415*p**4*t**3 + 2*p**4*t - 11*p**2*t + 864*p**2 - p*t**3 wrt p?\nAnswer: 273960*p*t**3 + 48*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 - 3*x - 16. Calculate the remainder when 33 is divided by n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 + 3*b + 7. Let v be g(6). Is v <= -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1090 - -812.8. Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 46. Let a = 20 + z. Solve 4*s - 3*r + 7 = 0, -4*r = -5*s - 4 - a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5968, -26\/23, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + 8 + 1 + -4 + -45.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 2 - 4*j**3 + 0 - 8*j**3 + 3*j**3 + 80 + j**2 - 82 + (-2 - 4 + 3)*(-j - j**3 + j).\nAnswer: -3*j**3 + j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**8\/33600 - n**7\/1400 + n**6\/150 - 2*n**5\/75 - 3*n**4\/4 + 2*n. Let y(x) be the third derivative of t(x). Factor y(u).\nAnswer: (u - 4)**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-225))\/((-10)\/((-500)\/290) + -7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/25003376 and -133\/37505064?\nAnswer: 75010128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -10. Let r = 46 + 84. Does 7 divide (-2)\/m - r\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Solve 3*g + 5 = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2272511 - 8?\nAnswer: -2272519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 27. Let d = n + 37. Let s = d + -19. What is the highest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -445, -20, -0.3, -0.075 in ascending order.\nAnswer: -445, -20, -0.3, -0.075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 428151 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -276, -582, -1020, -1596?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2493692, -2493694, -2493696, -2493698, -2493700, -2493702?\n\"Answer: -2*f - 2493690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 961133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let f = -1 - t. Let s = 0 - f. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*-1*(sqrt(26)\/sqrt(2) - sqrt(13)) + ((sqrt(351)*2 - sqrt(351))\/sqrt(9))\/(sqrt(108) + sqrt(108)*-2).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5668715 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4021623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -23837040, -4 in decreasing order.\nAnswer: -4, -47, -23837040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -373 - -939. Let x = f - -311. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**3 + 2*a**4 + 0*a**3)*(-3 + 3 - 2) + (-28069*a**3 + 134*a**4 + 28069*a**3)*(-3 + 3 - 3))*(-3*a - 2*a + a).\nAnswer: 1624*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9)\/sqrt(3)))\/(sqrt(99)*-2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/530 and -35\/2.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2020*f = 3256*f - 195212 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 8151960*l - 4153403240100.\nAnswer: -4*(l - 1018995)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.498 - -3.502. Put -5\/3, -3, -0.12, i in increasing order.\nAnswer: -3, -5\/3, -0.12, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 113*j - 968. Let o be t(-8). Which is the nearest to o? (a) -0.2 (b) 0.5 (c) 3\/17 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -16 + -4 + 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h**2 - h + 1. Let l be n(-1). Let i be (-24)\/(-9)*12\/l. Sort i, -4, 27 in descending order.\nAnswer: 27, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(((1*3*sqrt(95))\/sqrt(5))**2 - (-4*sqrt(2299) + sqrt(2299) + 2)).\nAnswer: 990*sqrt(19) + 5070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 - -10) - (-9 - -2) - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and -12740891 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6206.996806 to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j**4 - 1 - 1)*(0 + 0 + j).\nAnswer: -2*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**3 + 6*g**2 - 8*g**3 - 2*g. Let k(q) = 2*q**3 - 7*q**2 + 3*q. Let j(h) = 3*c(h) + 2*k(h). Find the third derivative of j(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.97*0.13\nAnswer: -0.1261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6073400 rounded to the nearest ten thousand?\nAnswer: -6070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 5)*(-3 + 0 - 8)*(9*a + a**4 - 9*a) - 5*a**4 + 4*a**4 - a**4 to the form r + w*a + c*a**2 + l*a**4 + u*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -937 + 47788\/51. Sort -5, k, 3\/5.\nAnswer: -5, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 6, i: 3, d: 1, w: 2}. Give prob of sequence dzz.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945094.\nAnswer: 2, 277, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.18 - 16.8. Let h = 0.02 - z. Let x = -22.6 + h. Round x to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1691010 and 1\/108?\nAnswer: 3382020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000044702356 rounded to seven dps?\nAnswer: 0.0000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731 - 15839*s**3 + 31674*s**3 - 15836*s**3.\nAnswer: -s**3 + 2731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120002000201 - 1?\nAnswer: -10120002000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3 + -6*-2*sqrt(3888))*-5)**2.\nAnswer: 43200*sqrt(3) + 13996900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 233.2\nAnswer: 116.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 4855855.\nAnswer: -11\/4855855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*j + 100 + 270*j - 131*j)*(-j**4 + 5*j**4 - 3*j**4).\nAnswer: -3*j**5 + 100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30 and 12518.3944.\nAnswer: 12488.3944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 5*v + v. Let n(u) = -u**2 + 2*u**2 - 5*u**2. Give a(n(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.3, 4, -13, 0.4, 0.01?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16716370 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131147 or 131149?\nAnswer: 131147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 3, e: 4, k: 3, w: 5}. Give prob of picking 2 e, 1 w, and 1 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -110.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s. Calculate g(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/441 and -109\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 95*w. Let n(v) = -8*v. Let u(g) = 35*n(g) + 3*z(g). Let o(r) = 6*r. Suppose -21*i = -11*i + 40. What is i*o(b) + 5*u(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4635*z**2 - 3567.\nAnswer: -9270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0. Let f be (2\/(-7)*1)\/((-4)\/56). What is the second biggest value in u, f, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 583993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105539188 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 268 - 3*b**3 + 270 + b**3 as g*b**2 + v*b + k + p*b**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*d + 2*j + 408, -4*j = 5*d - 507. Let r = 207 - d. Calculate the remainder when r is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:54 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34 - ((-5 - -4) + -2). Let n(p) = -44 - 4*p - o*p**3 + 50 + 36*p**3 + 5*p**2. Give n(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:11 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -473075278, -473075281, -473075284, -473075287, -473075290, -473075293?\n\"Answer: -3*k - 473075275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(1 + sqrt(2299)))**2 + (sqrt(2299) + -2 + -1 + sqrt(2299))**2.\nAnswer: 220*sqrt(19) + 46000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -127658\/12625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -2167820956.56\nAnswer: -2167820956.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (132\/20)\/(1\/(-5)). Let p = s + 60. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*t + 13, 0 = 5*s + 2*t + 21 - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/220 + (-82)\/(-176). Suppose -3*q = -3*v - 24, 2*q + 2*v = -0*v. Suppose 3*y + h - 9 = 0, y - q*h = -3*h + 3. Sort g, y, 0.08 in ascending order.\nAnswer: 0.08, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from ogmsmgjggggmmgsmmssg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 - (6 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 8*g - 6. Let b be n(-6). Let s = 9 - b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4377 by -4.\nAnswer: -4377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11009 is divided by 2752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5 - 80*r**4 + 145*r**3 - 70*r**2.\nAnswer: 5*r**2*(r - 14)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/16 + 1 + 0. Let t = 1 - -1. Let l = -2.4 + t. Put x, l, 2\/21 in increasing order.\nAnswer: l, 2\/21, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*s - r, -s + 0 = 3*r + 10. Solve 2*d + 4 = -s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.309 and 3473557571.4?\nAnswer: 3473557571.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6254 and 34574?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/3*(-1 - -3). Let b = -153 + 203. What is the greatest common factor of d and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 2*a - 2. Let f(u) = u**3 + 12*u**2 + 7*u + 20. Let r be f(-9). Suppose 16*v = 12*v + r. Let g = v + -48. What is i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116278 is divided by 380.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 2.42?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -2*h, 0 = 2*h - 4*h - 2. Does 2 divide (-9)\/(-12)*(f - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*w + 382, -4*l + 2*w - 5*w = -720. Suppose 126 + 2544 = 30*m. Let f = 136 - m. Calculate the remainder when l is divided by f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 27. What is p(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156589\/138501 + -112\/99. Let l = j + -81135\/9793. What is the common denominator of l and -51\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**2 + 5*q**2 + 255 + q**2 - 57 + 4*q**2 to the form j + m*q**2 + n*q and give j.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47 + y**4 - 184*y + 408687*y**3 - 309 - 408687*y**3 wrt y?\nAnswer: 4*y**3 - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -305840, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 504*k - 1 + 181*k + 1 in the form o*k + q and give o.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + r + 4*r = -215, 2*c + 2*r = 94. Suppose -c = -y - y. Solve -5*w = -10*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 6. Suppose -y + 18 - 43 = -4*g, -4*y = g - 2. Let a be m(g). Suppose -2\/3*c + a + 5\/3*c**2 + 7\/3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -717913, -1435815, -2153703, -2871577, -3589437?\n\"Answer: 7*d**2 - 717923*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2624*h**3 - 3*h**2 - 1119*h**3 + 2*h**2.\nAnswer: 1505*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22691 * -65.\nAnswer: 1474915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.027 - -0.963. Let t = w - 0.09. Let c = t - 0.90000017. Round c to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = 3*u. Let j = u + -7. Let r(z) = 5*z - 3. Let c(v) = v. Let x(f) = 4*c(f) - r(f). Determine x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/29 (b) -25.8 (c) -2\/173 (d) 3 (e) -4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103380045 + 93*g**2 + 103380045.\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 13 + 1)*(-26 - 7*g + 26).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/72 + 7)*(-2)\/(-4)*24*51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150082927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-22) + 1)\/((-8)\/44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -8)*(-49)\/(-2). Let f(j) = -15*j**2 + j + 17. Let v be f(4). Let n = u - v. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858330.\nAnswer: 2, 5, 185833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273631, -273621, -273601, -273565, -273507, -273421, -273301?\nAnswer: -273141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18726274\/3 > 6242090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34320425 (base 6) to base 11.\nAnswer: -659850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8818001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 693.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 146 = -161. Suppose -2*z + 803 = -u*r, 0*z - 2*r = 4*z - 1594. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10211 - 2?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124068271.\nAnswer: 19, 577, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1955833527770\/173552973 - 379704\/276799. Let i = g + -11268. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34469003399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p - 2*f, 4 = 4*p - f - 6. Calculate the remainder when 14 is divided by p*3\/(36\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.209 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 74. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4527 and 4527?\nAnswer: 4527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 - 6*n - 8. Is q(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3011\/220 - 150\/11. Let w(f) = -2*f**3 + f**2 + 2*f. Let l be w(0). Suppose -q + 4*s + 17 = 0, 5*q + 3*s + 7 = -l*q. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4684, 9375, 14066, 18757?\nAnswer: 23448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 4) to base 12\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.6 - 26. Let z = 51.8 + -47.8. Let s be ((-2)\/(-20))\/(18\/135). Sort s, 0.3, z, m in ascending order.\nAnswer: m, 0.3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -8757.\nAnswer: 8\/8757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 691956934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 30 = 18*v. Which is smaller: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146009 - 1562743 = -22*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/17113 and -28\/785?\nAnswer: 85565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.025 or -11\/111?\nAnswer: -11\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7342 - -7341. Which is the smallest value? (a) 1945 (b) 2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36817 divided by -11\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 75+-27296\nAnswer: -27221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-10)\/6))\/(6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1482*b**3 - 1488*b**3 + 184*b + 2973*b**3 in the form q*b**2 + u*b + y*b**3 + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 630 - 633. Which is the nearest to -2\/31? (a) 1\/5 (b) l (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*r = -2*v - 9, -5*v = r. Suppose 15*b = 16*b - 8. Let u be 2\/(-4) + b\/(-16). Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2057)\/22*-1*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = b - 5*f - 31, 65 = -b - 11*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1454812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(4*n - n - 6*n + 4576 - 203*n - 4576 + (1 + 0 - 2)*(0 + n + 0)).\nAnswer: -414*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2 + 14524*s + 116128 = 0. What is s?\nAnswer: -14516, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.08. Let v = -0.53 - -0.03. Sort f, 1\/6, v in ascending order.\nAnswer: v, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1 + sqrt(75) + 1)**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (17 + 0) - -3) + 15 + -16?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**3 - a**2 - a - 34. Let q(t) = -7*t**2 - 2*t - 1. Calculate 5*n(l) - 4*q(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42.2308 litres?\nAnswer: 42230.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-120)\/75)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3 - 9) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3 + 284555*k**2 - 1138208*k + 1138204 = 0.\nAnswer: 2, 284551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82419*c - 82419*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/27*9\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4389*u - 109557. Determine c(-25).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/3, -102, 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)\/q)**(-13)*((q\/q**(-1\/3))\/q)\/(q**(-2)*q*q*q) assuming q is positive.\nAnswer: q**(187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(1584)))**2 + 3.\nAnswer: 48*sqrt(11) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.4 (b) -8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/41, 42, 3\/4, 3, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166110360 - 3940.\nAnswer: 166106420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/17)*d**(-13)\/d)**27 assuming d is positive.\nAnswer: d**(-6588\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1553a (base 12) to base 9\nAnswer: -45311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x - 10. Let c be (-51)\/2*16\/24. Let u = -40 - c. Let o = u + 31. Determine f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/2))**(-12\/13)\/(h\/h**(3\/7))**(3\/23) assuming h is positive.\nAnswer: h**(-6918\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*v - 2, 0*t - v = -2*t + 6. Find the third derivative of -4*g**4 - 5*g**2 + 3*g**t + g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeezeeee. What is prob of picking 2 e and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13222.\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10807383.\nAnswer: 3, 3602461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-715)\/(-44)*(-16)\/(-24))\/(16\/(-96)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -560*i - 119. Let g(s) = -182*s + 9. Let r(c) = -28*c + 2. Let d(v) = g(v) - 6*r(v). Calculate 238*d(z) - 6*p(z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126828, -126830, -126832?\nAnswer: -126834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 + 2 - 3*u**4)*(-6 - 6 - 10).\nAnswer: -22*u**4 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143874*l - 2026 + 2026.\nAnswer: 143874*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 192\/27 + 8 + -29 + 14.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 1.8?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + s = 7, 5*y = -5*s + 3 + 7. Let h be (2\/(-6))\/(y\/6). Is 13 + (h\/(-2) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411424129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29 - 67 - 113*p**2 - 593 + 375*p**2 with respect to p.\nAnswer: 524*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 + 16*k = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/19 (c) -2 (d) -4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53366564 and 1028.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7315 and 430920.\nAnswer: 4740120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -11 - 8 - (0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrqrrqqrqrrrrrrrr. What is prob of picking 3 q?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 0*t**2 + 16546 - 14300 to the form h*t + p*t**2 + y and give y.\nAnswer: 2246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y - 4. Let u be f(-10). Let b be (-12)\/(-6)*-2 + 0\/2. Sort 1, b, u in descending order.\nAnswer: u, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281 + 269.7. Round s to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 11. Let v be 6*(-5)\/10*(-2 + 3). Let q(z) = -2*z + 10. What is v*q(w) + 4*d(w)?\nAnswer: -2*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-3*sqrt(640)).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c + c**2 - 3736 + 3723 + c**2 to h + p*c**2 + y*c and give y.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 140 = -h + 58, -5*h = 5*u - 240. Calculate the greatest common factor of u and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 5, x: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 33 in ascending order.\nAnswer: 3, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 702576 and 351288.\nAnswer: 702576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z - 80*z + 20 = -i, -5*z + 25 = 2*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -4. Suppose -v - 6 = -7, -3*v = 2*d - 155. Suppose -66*s + 10 = -d*s. Sort s, q, 5 in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88a95 (base 15) in base 12?\nAnswer: -18b472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1519911+1\nAnswer: -1519910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from xxzxxxxxzxxxx?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 506493?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114031 - 1303441?\nAnswer: -1134410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (3*sqrt(2200) + sqrt(2200)))\/((sqrt(150) + sqrt(6))\/sqrt(3)).\nAnswer: -13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635245519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdd when four letters picked without replacement from {d: 3, x: 12, j: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + 6*a)*(-1 - 5 + 0).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {d: 3, o: 8}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Let t be (q\/1)\/(0 + -1). Put 0, t, -1 in descending order.\nAnswer: 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346 by -1.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b1 (base 12) to base 3.\nAnswer: 20111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16745 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/54)\/(-4 + (-68)\/(-16))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2209*j**5\/6 + 10951*j**4\/3 + 83609*j**3\/6 + 32215*j**2\/3 + 2518*j\/3 + 52\/3 = 0?\nAnswer: -2, -1, -2\/47, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838862.6 millilitres to litres.\nAnswer: 838.8626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 5*a - 2. Suppose -5*m - 27 = 8. Let u = 11 + m. What are the prime factors of r(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130 - -138) + 0 + 0 - -82 - (-6 - -1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 51, 80, 121, 174, 239, 316?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 - -125. Let w = -62 - l. What is the remainder when 78 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u - 6. Suppose -4*a = -10 - 6. Suppose -r - 39 = -a*r. Let q(n) = -3 - 10 + 2*n**3 + 26*n - r*n. Calculate -6*q(i) + 13*z(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 25*r + 7. Calculate j(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - f**2 - f - 1. Let b(k) = -3*k**3 + 39*k**2 + 275*k - 1. Let o(a) = 5*b(a) - 5*v(a). Determine q, given that o(q) = 0.\nAnswer: -6, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5\/32*12828\/6414?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2. Let y(h) = h. Let f(k) = -k. Let i(u) = 3*f(u) + 6*y(u). Give i(t(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b - o - 2, -o = -2. Suppose -6*m + 4 + 26 = b. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzznw. Give prob of sequence fww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - y**2 + 2*y + (0*y + y + y)*(y + y - y) + 2*y**2 - y**2 + y**2 + 2*y**2 + 6 - 6 + (y + 1 - 1)*(y + 0 + 0).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.48, 4, 1?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*6)\/(sqrt(72)*-2) + -4 + -2 + (sqrt(24)\/sqrt(2) - (sqrt(33)\/sqrt(176) + sqrt(3)))*-5)**2.\nAnswer: 69*sqrt(3) + 2163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (20898\/(-2580))\/((-54)\/30)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/20 - c**4\/8 + c**3\/3 - 170*c**2. Determine a(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2368*f**5 + 34*f**2 - 8?\nAnswer: -142080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.01 (b) -0.5 (c) 38 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360631*g - 200 = 360606*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -42819.5153 to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18507336760 and -0.01.\nAnswer: -18507336760.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, 142319, -0.3 in ascending order.\nAnswer: -3, -0.3, 16, 142319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 33*q - 19. Let c be w(10). Solve 0 = 6*f + 11*f + c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1809677 bigger than -1809633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1186967.725 - 119619.\nAnswer: -1306586.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d + 10. Let a = 1 + d. Sort a, -3, 0.\nAnswer: a, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/(-30) + 36\/10. Suppose -b + 928 = s*w, 2*w - b - 462 = -2*b. Suppose -2*x - r = -w, -3*r + 243 = 2*x - 0*x. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-70)*3*4\/21\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*j + 209455, 0 = -3*j + 171 - 156. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/180*(-6)\/(1\/(-3 + 4)). What is the smallest value in -2\/3, x, 0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14690831?\nAnswer: 449, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 3680244.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -0.4 (c) -1\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - a**4 + 4*a + (5*a**3 - 18*a**3 - 10*a**3)*(-22*a - 12*a - 31*a).\nAnswer: 1494*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s**(-26)\/s)\/s)\/s)*s)\/(s**1\/s)*s**(-19\/4)\/s**28 assuming s is positive.\nAnswer: s**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*w**(-35)))\/w*w\/(((w*w**(-4\/11))\/w)\/w) assuming w is positive.\nAnswer: w**(378\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -10928\/13, -3\/52?\nAnswer: -10928\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 15*t + 18*t - 11 - 30*t as r*t + v and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 2)\/(0 + -1))\/2. Which is smaller: x or 145?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6626998735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**9\/16632 - z**8\/9240 + 5*z**3 + 5*z**2. Let o(x) be the first derivative of h(x). Determine c so that o(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.63 - 4.53. Let q = 20 - b. What is the nearest to q in 1, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77010 (base 9) to base 14\nAnswer: -14859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {t: 7, q: 3, c: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + 8 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 127.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -444*c + 444*c + 41*c**2 - 187*c**2 to the form j*c**2 + x + a*c and give j.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30d11 - 4?\nAnswer: -30d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 95. Suppose -3*c = c - y. Solve z = 5*b + c, 4*z + 0*z + 6 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 - -132. Suppose 5 = 3*z - k. Which is the biggest value? (a) z (b) 47 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159757 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 114, 116, 118, 120, 122?\n\"Answer: 2*b + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 0*j, 0 = -3*z - j + 157. Let c = 63 - z. Let t = 632 + -624. Calculate the greatest common divisor of c and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2048219 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2460633 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2 and -57\/29326?\nAnswer: 29326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -109?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -170, -1707, -4614, -8891, -14538, -21555, -29942?\n\"Answer: -685*d**2 + 518*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 31*l = -4*x + 93, 6*l = -4*x + 114. Solve 2*n + 9 = 3*r, -3*n - x = -4*n - 3*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12859322 is divided by 1070.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147933039 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-5)\/2)*(-6 + -4). Suppose l*b - 2*t + 7*t = 205, 155 = 5*b - 5*t. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2225.55 rounded to the nearest ten?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yooc when four letters picked without replacement from {d: 1, o: 4, y: 2, c: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/13, 6\/91, 74 in descending order.\nAnswer: 74, 6\/91, -5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 77 + 11 = 0. Let k = -18 - w. Suppose 3*p + 9 = 39. What is the remainder when p is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 2313.\nAnswer: 2314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/6*m + 5\/6*m**2.\nAnswer: 5*m*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 2. Suppose -2*k - 5*y = 24, k + g*y + 42 = 12*y. Let x(l) = -l - 12. Let u be x(9). Is k bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*k**2 + 7*k**2 - 20*k**2)*(9 - 9 - 3*k**2).\nAnswer: -195*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 + -12 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71792661 and 1429071.3?\nAnswer: 73221732.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 21 + (4\/12)\/(2\/6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3259285, 6518578, 9777875, 13037176?\n\"Answer: 2*n**2 + 3259287*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -91*v**5\/3 - 5546*v**4 - 331963*v**3 - 18375002*v**2\/3 + 22706508*v - 3574920 = 0. What is v?\nAnswer: -62, 15\/91, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, -5, 17 in increasing order.\nAnswer: -5, 2, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**2 + 3*s + s**3 - 11*s**2 as m*s**3 + u + r*s**2 + i*s and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 527 - 1014572?\nAnswer: -1014043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ae3 (base 16) to base 7.\nAnswer: 26032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadmmaxdxxfdmdxamwdx. What is prob of picking 1 f and 1 d?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955.6 + 103104.53.\nAnswer: 102148.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.97 + 0.03. Let p = -15 - -3. Let l = p + 11. What is the second biggest value in j, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3392.2008ns?\nAnswer: 0.000000000942278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 37*w + 2, -5*m + 18430 = -5*w. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27822*7\/(-14) - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*l - 973, 2*l + 209 = z - 277. Suppose 0 = 5*o - z + 69. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 12}. Give prob of sequence dd.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/9)\/(130\/(-156)). Let b(q) be the third derivative of 0*q**3 - 1\/130*q**5 + 0*q + 0*q**4 + 1\/195*q**6 - 1\/1365*q**7 - 11*q**k + 0. Factor b(g).\nAnswer: -2*g**2*(g - 3)*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12) - (-314)\/(-8). Let d = 99 + m. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**2*y + 1203*f**2 - 59*f*y - 34741396*y wrt f?\nAnswer: 8*f*y + 2406*f - 59*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s + 16. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -6*a - 1. Let g(c) = c + 7. Let b = -110021 + 110015. Give b*g(f) - 7*w(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 times -0.3?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 (base 12) in base 6?\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -63*u + 44. Let n(r) = 252*r - 165. Give 11*b(i) + 3*n(i).\nAnswer: 63*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g - 1. Let c be r(2). Let t = c + 38. Suppose 5*m - 3*l = 71, l + 22 = 2*m - 7. What is the remainder when t is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6) - 0)\/((-1)\/(-3)). What is the smallest common multiple of (15\/9)\/(t\/(-18)) and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-27))\/(5\/5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/907972 and 11\/2269930.\nAnswer: 4539860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (4 - (-2 + 7) - (6 + 0)) - -82?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 81. Let b = 0 - -3. What is the second biggest value in 3\/7, j, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 10*i = -54 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3.37361?\nAnswer: -9.37361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-20) - (-2)\/(-5). Suppose -3*i = -3*b - i + 5, 0 = 2*b - y*i. What are the prime factors of b + -3 - -11*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285.8 + 296. Let v = 13.2 - l. Is -21\/5 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234.6 + -234.2. Sort o, 0.04, -4, -3, 3 in ascending order.\nAnswer: -4, -3, 0.04, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 2*l**3 - 21*l + 7*l + 8*l + 7*l**2 + 2*l to w*l**3 + g*l**2 + h + a*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13611*j**2 - 27213*j**2 + 13603*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103730023.\nAnswer: 23, 196087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 320\/(-4)*((1 - 1) + 1). Let i be k\/(-15) + -5 + 80401\/(-3). Round i to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w = -5*w - 333. Solve -175*i + 172*i = w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 3*h + 3. Let z be i(3). Suppose 3*a + u - 12 = -2*u, -u = -3*a + z. Solve q = a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-75466)\/(-6))\/1 - (-1976)\/1482.\nAnswer: 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + (8 - 1) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*g + 157*g - 274*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 4 - 6) + (-1 - 0). Let v = 0.78 - -0.12. Which is the nearest to o? (a) 0.5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 19*c**2 + 13*c + 36. What is s(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjy when three letters picked without replacement from jyr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 560\/90 - (1 - (-7)\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10446 (base 9) to base 7\nAnswer: -26124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68800 (base 9) to base 10.\nAnswer: 45846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11057 (base 12) in base 5?\nAnswer: -1210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10588, -10589, -10590, -10591?\n\"Answer: -n - 10587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(-4)\/14. Let t be (-1)\/((-6)\/10 + (-35)\/(-100)). What is the third smallest value in n, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let f(o) be the first derivative of 206*o**3\/3 - 26. What is x(f(p))?\nAnswer: 412*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/8 - 13711*w\/8 + 471627\/2 = 0.\nAnswer: 139, 13572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157988.\nAnswer: 2, 3, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.19 and -1543552065700.\nAnswer: -1543552065700.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.0779, 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 281*m + 13207. Let v be p(-47). Suppose 5*h - 2*b - 66 = 8, 0 = 2*h + 5*b - 18. Suppose 0 = 4*w - 2*l + 5 - 13, -h = -4*w - l. Sort -3, v, w, -5.\nAnswer: -5, -3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.112883 nanograms in grams?\nAnswer: 0.000000001112883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 - 20320072*x - 60960234 = 0 for x.\nAnswer: -3, 10160039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4183\/1877 + 14502975\/2597768. Let n = p - -11\/173. Let x = -3731\/2070 - -22\/115. What is the common denominator of n and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 6. Let w(d) = -2 + 3*d - 2*d**a + d + 3. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25411*v**2 - 1184*v - 5 wrt v.\nAnswer: 50822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 20844 = 11*y. What are the prime factors of y?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -786 (b) -1 (c) 11 (d) 0.2 (e) -4 (f) -2 (g) -1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*f - 4, 4*f + 0*f = 12. Let n(i) = i - 6. Let u(l) = -5*l - 11. Let s(q) = 4*n(q) - u(q). List the prime factors of s(c).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3335 + 3350. Let x be -6*(-2 + 2 - 1). What is the second derivative of 2*h + q*h**3 - x*h + 15*h**3 wrt h?\nAnswer: 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33264 times -6497?\nAnswer: 216116208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -242540?\nAnswer: -242543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, 0.3, 1, -0.2, 86073 in ascending order.\nAnswer: -1, -0.5, -0.2, 0.3, 1, 86073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3547661 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 3*c**5\/20 - c**4\/24 + 16*c**2. Let v be 20\/15*(-12)\/(-16). What is s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 542?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1216201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4344.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/s**(-2\/3)*s))\/s*s**10)\/(s\/((s*(s*s**(-2\/5)\/s*s)\/s)\/s))**(-49))**(-13) assuming s is positive.\nAnswer: s**(-15002\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 5*u - 151*u**3 + 0*u + 6*u**3 + 17*u**3 to c*u**3 + h*u + g + m*u**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/21 - 3245\/826.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*i**5 + 0 + 2\/9*i**3 + 2\/9*i**4 - 2\/9*i**2 + 0*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 23 = 4*s, 6*s - 3*h - 11 = 2*s. Suppose 2 + 23 = 5*q. Suppose 3*x = 5*p + 4, q*p = -0*p + 5*x - 10. Sort 0.3, s, p in ascending order.\nAnswer: 0.3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 116*f**2 - 62*f + 3. Determine o(16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 483, 485, 487, 489?\n\"Answer: 2*r + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 16 = 8*a. Suppose -a*n = -56 - 368. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z - 9*z - 2*z - 2.\nAnswer: 24*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z + 2. Let r = 1779 - 1774. What is c(r)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 17. Let n(p) be the first derivative of -2*p**2 + 18*p - 1. Let x(k) = 3*n(k) - 4*w(k). Differentiate x(z) with respect to z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/54*1\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i - 11. Let n be x(2). Let y(j) = -3*j - 11. What is the remainder when 22 is divided by y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -6*o. Calculate the lowest common multiple of 6*(-2 - 28\/o)\/1 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 282 and -231714.\nAnswer: -65343348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118847869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 280993240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose 0 = 3*m + c*m + s - 63, -4*m + 58 = -3*s. Find the third derivative of 3*v**2 + 13*v**4 + v**5 - m*v**4 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x + 3. Let u be y(2). Suppose u*r - 28 = 4*t, 3*r + 3*t - 73 = -2*t. Solve -4*j = r, -2*o + 3*j = -4*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 10260767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 20*y**2 - 16*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + m - 2*m + 2*m. Suppose -3*y + 2*y = -3. Let a(o) = 0*o - o + 0*o - y*o. Determine a(r(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29937454 + -5716727. Let u = 35654179.93000053 + h. Let l = 1.07 + u. What is l rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 2 z when four letters picked without replacement from {k: 5, z: 2, n: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804603.\nAnswer: 3, 67, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 25*f + 11. Let b(v) = v**3 + 8*v**2 - 2*v - 12. Let z be b(-8). Let g be c(z). Calculate the highest common divisor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 6260077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2 + 5*i + 9*i**2 - 1 - 14*i**2 + 1. Let v(b) = 10*b**2 - 11*b - 5. Let t(a) = -5*l(a) - 2*v(a). Find the second derivative of t(q) wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p**4 - 1942557*p**3 + 8325522*p**2 - 9990732*p + 2220168 = 0.\nAnswer: -92507, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 633314 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 16 = 5*c, 0 = -4*y - 5*c + 64. What is the highest common factor of y and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*252*(-70)\/(-19600)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-19\/2))**(28\/5) assuming y is positive.\nAnswer: y**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2294*h**5 + 6*h**2*l**3 - 2*h*l**3 - 3*h*l**2 + 11041*h wrt h?\nAnswer: -45880*h**3 + 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.2, -0.1, 694?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 26. Solve -4*b = -g - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187368 by 222.\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 1, j: 4, r: 2}. Give prob of sequence fr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 792 = 19*w. Suppose -6*q - w = 5. Let v(y) = y**3 + 7*y**2 - 2*y - 8. What is v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -506?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 0, -11, -26, -45, -68, -95?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 79 - -102) + (-9 - -9).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (6 - 8) - (-1 + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 10*v**2 - 17*v - 11. Let b be (-2)\/(2\/33)*-1. Let l be 3\/(27\/(-3))*b. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 112715900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 240. Is d a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16202232*q**3 - 268630*q**2 + 8?\nAnswer: 97213392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27676301.\nAnswer: 27676301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23728 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 273*o**2 + 28508 - 3*o**4 - 28508 to the form g*o**4 + b*o + s*o**2 + t*o**3 + h and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 16) to base 9\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 5*m = 5*a - 15, m + 13 = -4*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -43 + 15. Let y = v + 53. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 56739013574.3?\nAnswer: -56739013587.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -128.5, -2\/495, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24237998 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157687 - 157693. Suppose 0 = -5*l - 0*d - 4*d + 145, -3*l + 2*d + 109 = 0. Suppose -4*i - 3 - l = 0. Is i bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -16\/3*a**3 + 9*a + 1\/4*a**4 + 8*a**2 + 8. List the prime factors of r(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621403015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4111.7 and 0.4.\nAnswer: 4112.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2.0219, -0.3, -3\/4, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -2. Let d be (-2)\/4 - (-14)\/12. Let x = -14.9 + 15. Which is the third biggest value? (a) x (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11698 and 26?\nAnswer: 152074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {z: 2, e: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102.9 + -103. What is the nearest to n in 0.5, -20, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*n - 503*n - 785 = 0. Do n and -789\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 2*n - 1 + 2*n**2 + 3*n**2 + 4*n**3 - 3*n**3. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-24)\/(-9))\/(-2). Suppose l + u*f = -0*f + 13, 16 = 4*l - 2*f. Suppose 2*n = 2*j - 92 + 24, -4*j + l*n + 133 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/1188041 + 16878498495\/4752164. Suppose 9863 = 5*o - b - 8008, -4*o + 3*b = -14299. Let f = x - o. What is the common denominator of 29\/22 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1488)\/(-54))\/8 - -2*(-30)\/20. Factor 32\/9 - 4*d + v*d**2.\nAnswer: 4*(d - 8)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 10\/(-15) + (-5 - (6 + 18420\/(-9)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991312939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = j, 4*j - 21 = 4*n - 61. Let p(b) = -b**3 - 6*b**2 - 5*b + 3. Let m = -6 - -1. Let v be p(m). What is the greatest common divisor of n and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -92*q + 854. What is the hundreds digit of j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 5*i - 10, 0 = -4*g + 4*i + 24. Suppose -j + 20 = 3*u, u - j = -g*u + 15. Solve -2*t - 1 + 0 = 3*m, -5*m = u*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1079 + -1056. Calculate the remainder when (-375)\/(-4) + (-4)\/(-48)*3 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*c - 452 + 452 + (2*c - c + c)*(4 + 2 - 4).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, 0.05.\nAnswer: -2, 0.05, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 24*c + 6. Let s(t) be the third derivative of -t**5\/60 + 3*t**4\/8 - 7*t**3\/3 - 4*t**2. Let h be s(c). Sort -21, h, 0 in increasing order.\nAnswer: -21, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:23 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/42028 and 3\/2128.\nAnswer: 168112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y + 10. Let k be g(0). Suppose -k*o + 20*o = 560. What is the highest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 26888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38773246 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264061.\nAnswer: 7, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-120)\/(-160)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2809 by -64.\nAnswer: -2809\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.102? (a) 1\/2 (b) 0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 126*r**3.\nAnswer: -3*r**3*(r - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13633129 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 20 = 123*h - 118*h, 62*h + 23*h + 340 = -2*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2085.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -73 - (0 - (-4)\/4). Let v = n + 160. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1001?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 676685 and 7543?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*3*2)\/(2125\/12750)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiso. What is prob of picking 2 o and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7324 is divided by 426.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**5 - 11291825*n**3 + 382770*n**2 + 30 wrt n?\nAnswer: -180*n**2 - 67750950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -1877?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 332957.883 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:39 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 divided by -1?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -2\/45, 298, 3, -0.3, 1?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.3 + 4.3. Which is the nearest to -0.2? (a) s (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*r**5 - 158*r**2 + 4*r wrt r.\nAnswer: -3060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319564 by -404.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 11*d - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + (-52)\/(-3). Suppose 0 = 2*k - 5 - 31. What is the highest common divisor of q and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240.1873ns in minutes?\nAnswer: 0.000000037336455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + (-146 - -61) - -76?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:22 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 + 32*g - 34 = 0. Calculate g.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*g**2\/2 - 14607*g\/2 - 1461.\nAnswer: 3*(g - 974)*(5*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -221*c**3 - c**2 - 4*c - 3. Suppose 5 + 763 = -16*w. Let y = w + 47. What are the prime factors of z(y)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 7 + -7. What is the closest to 0 in -0.4, -0.5, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3661*t**2 - 3739*t**2 + 7421*t**2.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 9 - (-1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(24\/5)\/(c*(c*c**15*c)\/c)*c**(2\/17)\/c**(3\/4) assuming c is positive.\nAnswer: c**(-4363\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 58*l - 1908. Let s be c(33). Solve -25*v + s = -19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(2\/3)*w*w**(-5)*w)\/(w\/w**(-11)*(w\/w**(6\/11))\/w) assuming w is positive.\nAnswer: w**(-356\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 1, i: 2, h: 1, y: 2, d: 1}. Give prob of sequence ri.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1072871159 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1520635214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 - 4*i + 1. Let x(m) = -10*m**2 + 3*m - 1. Calculate -4*v(y) - 5*x(y).\nAnswer: 6*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 6. Let o be 135*((-27)\/z + 1). Let b = 6667\/14 + o. What is the common denominator of b and 29\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642920.\nAnswer: 2, 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, -24, -1, 3\/14, -0.2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 1, x: 1}. Give prob of picking 1 w, 1 x, and 1 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 17*w**2 + 35*w + 21. What is d(19)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/250 and 93\/10550.\nAnswer: 52750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 876332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 41. Let x be k*110*6\/(-8). Let q = -573 + x. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 3381196488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 21*a + 26. Let m be r(22). Solve -p - 6 = m*f + p, -5*f + 2*p + 15 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25)\/(x*x**(-23)*x*x))\/(x*x**(-2\/25)*x*x\/x**(15\/8)) assuming x is positive.\nAnswer: x**(-1209\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 54. Put b, 0, -3, 9 in descending order.\nAnswer: 9, 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from {v: 2, p: 1, x: 4, e: 9}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ffeeellzeo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.739 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 484 = -5*c + c, 5*c - 466 = -2*o. List the prime factors of o.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 3, l: 13}. What is prob of picking 2 i?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128157*r**2 + 255272*r**2 - 127852*r**2.\nAnswer: -737*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*t = -27285, 2*h = -4*t + 3878 + 7054. What is h rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 46, -7, -47.\nAnswer: -47, -7, -4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 29*c**2 + 90*c - 184. Calculate q(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 2*p + 5*c, -4*p = p + c - 571. Is p at least as big as 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)\/(18\/2 + 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**2*s + 12*r**2 + 12*r*s - 139*r + 2*s - 151621 wrt r?\nAnswer: -4*r*s + 24*r + 12*s - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 10.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -18. Let a = -9.1 - v. Is 1\/3 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*h + 0*h - h)*(-4 + 1 + 2) + 4 - 4 - 2*h + 19 - 19 - 3*h)*(-336*h**2 - 1056*h**2 + 358*h**2) as j*h + r*h**3 + x + w*h**2 and give r.\nAnswer: 4136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7711 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -41?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3262 and 17577287.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20\/(-2825))\/(754\/741 + 4\/(-3)) and 38\/1695?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m**(3\/4))\/(m\/m**(-1\/4))**(2\/11) assuming m is positive.\nAnswer: m**(-241\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:46 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/88 and -19\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1935*z**2 - 4*z**4 + 51*z**3 - 667*z + 2*z**4 + 1933*z**2 - 53*z**3 + z**4 to the form a*z**4 + f*z**2 + g + k*z + i*z**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.8704 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5885 is divided by 1104\/36 - (1 - 7\/3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by -106?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 - -242. Solve -x*f + 14*f + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c + 3)*(-2 + 2 - 2)*(-5 - c + 5)*(37 + 22 - 109 - 115).\nAnswer: 330*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -137*t - 11*t + 346 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -64. Suppose -3*r - a*d + 32 = -0*r, -3*r = -4*d + 4. Find the third derivative of 1 - 7*m**4 + 17*m**2 - r + 3 wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*-4*(-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.5 (c) 0.06 (d) 17\/156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 4*c, 5*c + 4 - 1 = 2*g. Let v = 9 - g. What is u in 4\/5*u**2 + 0*u + 2\/5*u**3 + v = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329.4 - -329. What is the nearest to -4 in b, 4, 4\/3, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15700406 (base 8) to base 7.\nAnswer: -42626662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {k: 1, u: 1, o: 2, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - 5*g**3\/3 - 7*g**2\/2 + 2*g - 25. Give b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 12 - 12. Suppose -2*q = -o - 4, 20 = 2*o + x*q - 0. Suppose 2*u - 786 = -o*u. What are the prime factors of u?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 5, s: 1, l: 9, g: 2}. What is prob of picking 1 l, 1 b, 1 g, and 1 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/25, -2, -4002.96?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(10 + -1*9 + ((-3120)\/(-286))\/(-10))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/60 + 167*p**5\/30 + 214*p**4\/3 + 688*p**3\/3 + 11*p**2 + 22. Factor r(q).\nAnswer: -2*(q - 172)*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27958617*k**2 + 2*k + 84511933 with respect to k.\nAnswer: -55917234*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 26512624.\nAnswer: -26512623.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**3 + 0*g + 2*g**2 - 3*g + 0*g**2 + 7*g**3 in the form k + x*g**3 + t*g**2 + y*g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*f = 42, -15 = 2*f - 11. Which is the closest to -1? (a) 16 (b) 0 (c) m (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 12*f - 8*f, 5*o + 5*f - 24800 = 0. Suppose 4*h = 3*j - 3714, -5*j - h = -9*j + o. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*v + 4*v = 4, 3*s + 3*v = 6. Suppose 0 = -2*j - s + 8. Let l be (0\/(-1))\/(-5 + j). Solve l = -c - c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-20)\/(-845)) - -1?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 + 15 + 5 - 3*x**2 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1633 - 1739.9. What is j rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401295821 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5) - (-168)\/15. What is the greatest common factor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*q = -3, -z - 6*q = -q + 13. Suppose 2*y + 2*b - 4 = -z*b, 4*b - 34 = -5*y. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*k = -136*k + 13*k - 6240 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 - (-4)\/(-2)). Suppose -5*z + 2*w - 32 + 153 = i, z - 29 = -2*w. Calculate the least common multiple of 1 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-1))\/(16\/24))\/((-10)\/(-1)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 12. Let n = v - -6. Suppose -173 = -n*d - 3. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*580\/29. Let f(a) be the second derivative of 0*a**4 + 13\/6*a**3 + t*a + 0*a**2 + 3\/5*a**5 + 0. What is the second derivative of f(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*v**4 - 812*v**2 wrt v?\nAnswer: -1080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17, -1, 2\/5, -7\/6, 2\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 1. Let c(f) = -14*f**2 - 6. Calculate 3*c(s) + 16*v(s).\nAnswer: 6*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9861.2 + 9122. Let y = -739.20002987 - z. What is y rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)\/t**(-23)*(t**(-4\/9)\/t)\/t**17 assuming t is positive.\nAnswer: t**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00289935 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13388192 is divided by 857?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 2*j + 1. Let b be z(-2). Suppose 3*c = -0*c - 45. What is the tens digit of b + ((-3)\/1 - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - x - 2. Let v be a(-5). Find the second derivative of 4*l**5 + l**3 + 2*l**v - 3*l**3 - 4*l wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n**2 - 7*n**2 + 4 + 3*n**2)*(0*n - 3*n + 0*n - 3*n + 3*n - n - 4*n + 3*n - n - 2*n + 1 - 1 - 2*n + 0*n + 0*n + (-2 + 2 - 2*n)*(-1 + 2 + 1)).\nAnswer: 28*n**3 + 42*n**2 - 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8239740 and 524870.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1032 + 515 - 16*h**3 + 516 as p + n*h**3 + u*h**2 + o*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659754342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*b = 594*b + 60 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41063\/70 + 3904\/7. Let f = 152\/5 + r. Factor g + 1\/2*g**3 + f*g**2 + 0.\nAnswer: g*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 0.3, -0.3, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**4\/6 + m**3\/2 + 3*m**2\/2 + 3. Let i(j) be the second derivative of u(j). Suppose 23 = -9*v - 13. Determine i(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.71 + -2.6. Let u = r + -0.01. Which is the second biggest value? (a) 4\/5 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 + 483*d**2*w + 2*d - 63*w wrt d.\nAnswer: -40*d**3 + 966*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/s*s**(3\/14)*((s\/(s*s**(3\/20)))\/s)\/s**(-2\/25) assuming s is positive.\nAnswer: s**(101\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose -3*z + 4 = -4*t, 3*t + 20 = 5*z + 6. Suppose i - 30 = -5*k, -k + z*k = i + 18. Solve -k*y + 4 = -n*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9590 + -9590.1. What is the nearest to 2\/9 in 5, -13, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from akawwankhwnkawhnkkaw?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.2, 599, -2, -395 in ascending order.\nAnswer: -395, -2.2, -2, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -20*p**2 + 42*p**2 - 26*p**2. Let h be (-4)\/6 - 24\/(-9). Let r(u) = -6*u**h + 2 - 2 + 8*u**2. Give r(a(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2736, 2601, 2252, 1581, 480?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 81, 168, 287, 438?\n\"Answer: 16*a**2 + 7*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -35. What is the closest to 2 in r, -1\/3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6593, 12627, 18661, 24695, 30729?\nAnswer: 36763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 17 = -q - 1, -5*q - 3*j = -22. Solve -3*h = -3*t - t + 12, 0 = q*h - 2*t + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11022 (base 5) to base 3\nAnswer: 1001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 8) in base 14?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*o + 19 = -253*o - 5*g, -693*g + 6 = 2*o - 694*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 6, q: 4, t: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and 1285.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 24*u + 95. Let w be i(6). Calculate the common denominator of w\/4*(-7)\/(-245) and -5\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeemmteeteeet. What is prob of sequence etee?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - 112111?\nAnswer: -120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let t be (5\/(-2))\/((-1)\/m). What is y in y**4 + 3*y**3 - 2*y**4 - t*y**3 - y**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 18 + 16 + 7 + -33 - (-68 - 4).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 2, d: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5704*u**2 + 11640*u**2 - 5704*u**2.\nAnswer: 232*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 1.08. Let i = 17.52 + n. Let j = i + -16.199524. What is j rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45766.03 weeks?\nAnswer: 27679294944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(20)\/sqrt(2)))\/((3*sqrt(24)*-5)\/sqrt(12)) + -1.\nAnswer: -1 - 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-76))\/(2\/32 + 0). Let r be 395*1*(-2 - -1)*u. Suppose 13*l - 14*l = r. What is l rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -17462?\nAnswer: -17452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrf when three letters picked without replacement from {r: 4, a: 2, m: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(10)\/(sqrt(10)\/sqrt(5)) - sqrt(5))*-5 - -3*-5*sqrt(720)*-2.\nAnswer: -2 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/720 - f**5\/24 + f**4\/24 - f**2. Let n(m) be the second derivative of q(m). Suppose 2*o = -7*o + 54. What is n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106.55 - -1.45. Let v = l - 108.8. What is v rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2607 - -207?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12393774 + 8567.\nAnswer: 12402341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.892 + -0.062. Let x = d - 4. Round x to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1187 + -1183. Let d be 6*(-4)\/8*30\/(-18). Solve d = y*s + x - 3, 2*s = -2*x + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 23 - (-2 + -4) - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(2 - 7 + 1) + (-1 + 4 - 1)*(-4 + 2 + 0))*(2*i**2 - 1 + 1)*(-565*i**2 - 411*i**2 - 675*i**2).\nAnswer: -13208*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2513569 months in years?\nAnswer: 0.187613075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8770.1537086 - -0.0437086. Let l = 8815 + a. What is l rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvw when three letters picked without replacement from vzvwvhvwwhvyjvhhjv.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*w + o - 3, -4*o = -5*w - 12. Suppose 2*h = m + 3*m + 108, 3*m + 15 = w. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999490.\nAnswer: 2, 5, 79, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*w - 1 - 73*w + 191*w - 84*w + (-6*w + 2*w + 0*w)*(1 - 4 + 1).\nAnswer: -34*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + -83 + 78\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -712 (b) 3 (c) -1.97 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1994950 at most as big as -1994947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 - (80 + -241) - 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/3)\/n))**(-37))**(-19) assuming n is positive.\nAnswer: n**(3515\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.273 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*h + 14, 2*a - 2*h - 8 = 5*a. Let b(n) = 2*n + 1. Let j(o) = 2 - 238*o + 1 + 241*o - 2. Let r(i) = -5*b(i) + 3*j(i). Determine r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1511)*(-47746)\/8. Let j = 1\/1511 + q. Find the common denominator of j and -52\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Suppose -3*z - 2*n = -171, -n = -3*z + t*n + 153. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 2*i)*(8 - 21 + 193*i + 15)*(4*i - 7*i + 0*i)*(1 - 5 + 3)*(-3 + 6 - 1).\nAnswer: -2316*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194\/469 - -1\/67. Let h be -1 + -2 - -2*(-5 - -6). What is the second smallest value in g, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1400 and 23.\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7 - -4) + 4. What is the third derivative of 18*o**2 - 4*o**2 - 7*o**4 + 58*o**k - 21*o**4 wrt o?\nAnswer: 720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 293790?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355737 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10*g - 7*g - 18 = 0, -5*g = 20. Solve n + l = -0*n - 2*v, -5 = -3*n + 4*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1826680 and 29044212?\nAnswer: 290442120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*t**3 + 77*t**3 - 171*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -514022000 rounded to the nearest one hundred thousand?\nAnswer: -514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 38, -6 in increasing order.\nAnswer: -6, 21, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108611, 107238, 104949, 101744, 97623, 92586?\n\"Answer: -458*c**2 + c + 109068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 921*t\/2 - 12943\/2.\nAnswer: (t - 14)*(t + 3698)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d (base 15) to base 6.\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85464.8 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2 + 694*z + 226. Let r(q) = 4*q. Determine r(x(n)).\nAnswer: -36*n**2 + 2776*n + 904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 5 + 273*o**2 - 158*o**4 - 271*o**2 to b*o**4 + w*o + q + u*o**2 + g*o**3 and give b.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-36)\/14)\/(-3))\/(82\/(-5166)). Let z = h - -56. Solve 0*x**z + 0*x + 2\/9*x**4 + 2\/9*x**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 4262*q**4 - 34178*q**3 + 98338*q**2 - 119760*q + 51336 = 0. What is q?\nAnswer: -2139, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -17. Let i = -5 - u. Let o(n) = n + 1. Let z be o(i). Solve 3*w - w = j + z, 3*j + 2*w = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9)*(-45)\/(-60)*4\/(-6). Let z = 0.2 - 2.2. Put -14, -5, i, z in decreasing order.\nAnswer: i, z, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12446, 12452, 12468, 12500, 12554, 12636?\n\"Answer: t**3 - t**2 + 2*t + 12444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 16*x**2 + 15*x + 20. Let c be y(15). What is the greatest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 1, u: 2, y: 5, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3216\/56)\/6 - 3\/(-7). Let a(d) = d**2 + d - 1. Suppose -y + 1 = 2. Let v(r) = 12*r**2 + 10*r - 10. Calculate u*a(m) + y*v(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 4*s - 542 + 556, -s = 4*l - 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-3\/10)*y*y)\/y**(-2\/5))\/((y**(-4)*y)\/((y\/(y**(1\/5)\/y))\/y)))**(1\/10))**(10\/7) assuming y is positive.\nAnswer: y**(59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 - -11200?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18335\/505 - 15 - 21. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v. Let u(t) = -3*t - 2. Let p(r) = 3*r - 4*r - 2 + 1 + 0*r. Let b(z) = 2*p(z) - u(z). Let x be 15\/40 - 385\/88. Give x*n(j) + 11*b(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 y when four letters picked without replacement from yttzzztryzyzr?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4005 and 1172441055.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r. Let f be y(4). What is the highest common factor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*s**2 + 16 + 41*s**2 - 16.\nAnswer: 218*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-1 + 0 + 2)*(-1 + 2 - 2 + (-2 + 2 - 2)*(0 + 0 - 1) + 133 + 20 + 13)*(-2*o + 7*o + 0*o).\nAnswer: -835*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/3 - 2208*c - 172900\/3 = 0.\nAnswer: -26, 6650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/73 - 95\/803. Sort 0.3, g, -0.03 in descending order.\nAnswer: 0.3, -0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/3 + 11\/((-44)\/(-72)) is divided by (-7 - -1)*(2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 135 - 3*b + 5*b**2 - 67 - 63 - b**3. Let c be ((-1)\/2)\/(2\/(-16)). Let o be z(c). Solve 3*x - 3*u = o, 0 = -x - 0*x - 5*u + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (6 - 8) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**4 + 2*h**3*z**2 - 6*h**2*z - z**2 + 60*z wrt h?\nAnswer: 12*h**3 + 6*h**2*z**2 - 12*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/33170 and -59\/19902.\nAnswer: 99510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24524 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-7)*1\/4)\/(10*55\/26400).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 3*u)*(0*u + 0*u - 2*u)*(-4*u + 0*u + 3*u)*(3*u**2 - u**2 - u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -123205 (base 14) to base 13\nAnswer: -18a910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 202137844889.26\nAnswer: -202137844886.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444411 (base 6) to base 15.\nAnswer: -b0bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -21*t + 47*t - 25*t. Let c be -1 + -1 + 3 + -4. Let b(q) = 4*q**2. Let x(v) = 5*v**2. Let g(k) = c*x(k) + 4*b(k). Calculate g(l(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/35)\/(3\/(-21)). Let q(a) = -2*a + 5. What is q(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccisaicsic. Give prob of sequence ssac.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1477856 - 4197856. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24977851242.3 + -36.8.\nAnswer: 24977851205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 5*d**2 + 5*d - 6. Let h be j(-6). Suppose 0*p - 5*p + 50 = h. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 311880 - -130?\nAnswer: 311a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -4 + 5 + -7 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Calculate the least common multiple of 9 and l(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 209*r - 91*r - 242*r = 1470 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002726 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 + 8*o + 11. Suppose h - 7 = j, -h - 4*j - 17 = -4*h. Calculate the smallest common multiple of s(-7) and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1590*r**6 - 14328*r**2.\nAnswer: 190800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 920509.4 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*d + 311*d = -198*d - 38584 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95b06 (base 14) to base 5.\nAnswer: -43033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75645 (base 8) to base 5.\nAnswer: 2003103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j**5 + j + (-7*j**3 + 6*j**3 - 11*j**3)*(j**2 + 4*j**2 - 6*j**2).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.16924 hours in seconds?\nAnswer: 133809.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 497. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11012 = -159*d + 27707 for d.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -101*k**5\/5 + k**2 - 78*k + 1097. Find the first derivative of z(r) wrt r.\nAnswer: -404*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 557*b + 560*b = -1, -4*b + 8 = 0. Let h(x) = -x**3 - 3*x**2 - x - 1. Let o be h(-3). Solve -y*a = -6*a + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/20 - 13*v**4\/12 - 7*v**3\/3 - 15*v**2\/2 - 2*v - 51. Determine h(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.1332ml to litres.\nAnswer: 0.0331332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.856 + 2.839. Round q to one decimal place.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 2*i = 48. Let v = i + 10. Suppose -3*s = -3*u + 66, 2*u + v*s - 155 = -3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(-54)*18\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 + 2*g + 3. Let r(l) = 11*l**2 + 4*l + 5. Suppose 11*j - 99 = 44*j. Determine j*r(c) + 5*y(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 38*a - 193. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*((-2992)\/51)\/22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + 2*l - 10 = 0, -3*l = -2*d + 41. Suppose o + 4*t - 73 = 9*t, 4*t + 68 = o. Calculate the smallest common multiple of o and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1330 - -1210. Which is bigger: -124 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -22 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4 = -2*w, 2*d - 37*w + 36*w + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -3b23290?\nAnswer: 3b23299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/6 + 1)*-3. Solve 0 = y*m - 5*m - 5*o - 32, -o - 24 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42510 (base 10) in base 4?\nAnswer: -22120032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + 3*g**2 + g + 2. Let n be r(4). Suppose -5*s - n = -2*w + 246, 0 = w + 4*s - 278. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arah when four letters picked without replacement from ahaarawan.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13434441 (base 6) to base 16.\nAnswer: -6f4f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 5*a**2 + 3. Let w be j(5). Suppose 0 = -5*l + 3 + 17. Solve -l = -w*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((8\/6)\/2)\/(12\/450). Solve -5*x = 30 - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(-2*v + 13*v - v)*(-8 + 12 + 13).\nAnswer: -680*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/302363 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 334633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*s + 15, 0 = -3*v + v - 5*s + 21. Let z = v - -1. Suppose z*i = 2*i + 24. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/9)\/u)\/(u**(-7)*u))**(-14\/11) assuming u is positive.\nAnswer: u**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -t, -t - 3 - 3 = 3*m. Solve -t*b = 4*p + 2 - 1, 0 = -5*p + 3*b + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 2, e: 4, w: 1, v: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1283, 5602, 12953, 23336, 36751, 53198?\nAnswer: 72677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1357, 2971, 5661, 9427, 14269, 20187, 27181?\nAnswer: 35251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((6 - 1) + (16 - 21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/3 + 586*n**2\/3 + 16290*n + 279450 = 0.\nAnswer: -135, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9918\/(-11020))\/((-4)\/(-2)*(-3)\/(-8))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 4. Let v = w - -1. Let q = v + 2. Which is bigger: 4\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31532116 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let u(z) = 119*z**2 - 34*z - 17. Let x(a) = 14*a**2 - 31*a + a**2 - 2 + 27*a. Let b(d) = 2*u(d) - 17*x(d). What is s(b(j))?\nAnswer: 289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6216)\/(-30) + 2\/(-10).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11659303 to the nearest integer?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-6 - (2\/(-6) - 2846\/(-6))). What is the highest common factor of 225 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26*q - 11. Let d be i(-4). Let p(k) = k**2 - 9*k + 16. Let o be p(2). Factor 2*l**4 + 7*l**3 - 23*l**3 - 49*l**2 + 18 - 48*l + d*l**o.\nAnswer: 2*(l - 3)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 11*j**2 + 12*j + 22. Let m be b(-10). Suppose -m*g - 3*d - 28 = -232, 3*g = 5*d + 268. What is the smallest common multiple of g and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210111020202120 + 222?\nAnswer: -210111020201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Suppose 43 + 7 = 25*j. Let v(o) = o**2 + 1. Suppose 4 = -2*w + 10, 3*d - 3*w = -12. Give d*i(u) + j*v(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015639 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -20. Suppose c*a + 15 = 0, -a = m + 3*a + 9. Let d(q) = -3 - 2*q - q + 5*q. Give d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**2 - w - 1. Let j be h(-1). Let l = j - 17. Let p = 0.1 + 0.3. Put p, -0.5, l in increasing order.\nAnswer: l, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 170. Let y(x) = 703*x - 6. Calculate v(y(p)).\nAnswer: -494209*p**2 + 8436*p - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -222 (b) 0.05 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82502837 is divided by 36538.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 192*n = -262, 2*n = -175*h + 346*h - 174*h - 44 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5792077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 2964?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 30024*f**2 - 77806080*f + 13318514688.\nAnswer: -3*(f - 4912)**2*(f - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - m - 23, 2*r + 2*m = -0*m - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 142012?\nAnswer: -142013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.385 - -0.263. Let x = 0.64015 - l. Round x to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*c - 50, 5*q + c - 38 = 3*c. Solve 4*z - 25 = 3*w - q, 5*z = -2*w - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 0*b + 3*b)*(2*b - b + b) + ((39*b - 6*b - 4*b)*(-10*b + 12 - 12) - 2*b**2 + 4*b**2 - 3*b**2)*(3 - 1 - 3).\nAnswer: 283*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -7*z**4\/8 + 14*z**2. Let p(q) = 3*q**2. Determine n(p(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*p - 3*o - 21, 5*o = -2*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9*0 + 190. Suppose 5*a + w = -l, 0*a - 24 = a + 3*l. What is the common denominator of 149\/6 and ((-14)\/a)\/(6\/(-36))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1982264, -1982182, -1982100, -1982018?\n\"Answer: 82*k - 1982346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -328, -724, -1276?\n\"Answer: -78*t**2 - 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**4*p*p)))**38 assuming p is positive.\nAnswer: p**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(77) - sqrt(77)) - sqrt(77))\/((sqrt(1584) - (sqrt(1584) + -2*sqrt(1584) - sqrt(1584))) + sqrt(1584)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.6279 millilitres to litres.\nAnswer: 0.7976279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-20)\/(-4) - (8 - 7) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 7*l**2 + 5*l + 4. Let t be y(6). Let n be -2 + 3 + 3 + t. Let p(g) = -4*g**n + 54*g + 0*g**2 - 54*g. Let k(j) = -3*j**2. Determine p(k(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose 3*g + 2*g - 116 = -z, 4*z = u*g - 65. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.354 * -4034.\nAnswer: -5462.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/((-6)\/801))\/24 and 33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 - (3 - (96 - 26))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 911855 + 298415\nAnswer: 1210270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i + 784 + 341. Do i and -125 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(33\/216) - 0. Let f = p + 84. Let r = 0 - -8. What is the least common multiple of r and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*2)\/(32\/(-360))*(-1)\/(325\/260)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:20 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 27*n - 26*n - 12, 0 = -4*n - 5*w + 30 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*l - 6, -2*x + 0*x + 4*l = -14. Solve x*c + 5*n - 34 = 0, 0*c - c + 4*n - 17 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**3*l + 7*b**3 + 50*b**2*l wrt b.\nAnswer: 60*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 93*y + 129 + 0*y**3 + 73*y**2 - 1\/4*y**4. Differentiate z(p) wrt p.\nAnswer: -3*p**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q**6 + 0 + q**2 + 0*q**4 + 0*q**5 + 0*q + 1\/210*q**7 - 1\/3*q**3. What is the derivative of t(s) wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 31 = 2*r, -2*r - 4 = 2*t - 0. Suppose -r*j + 44 = j. Which is bigger: j or 10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 329 - 223. Suppose -r + c = 4*h, r = 6*r - 2*h - 618. Suppose -4*t + 3 + 85 = 4*u, -5*t = 2*u - r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 110. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9.01 (b) -2\/13 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*j + 400*j = -2505. What is the remainder when j is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let x(r) = 3126*r - 2. Calculate x(g(v)).\nAnswer: 3126*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -2302414200?\nAnswer: -2302414212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 35. What is n(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8*h - 1)*(-24 - 88*h + 85*h + 8).\nAnswer: 24*h**2 + 128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830354623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322932 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 265 = -5*t, 0 = -2*t + 4*z - 21 + 97. Let d be (64\/t)\/(2\/6). Let l(s) = 2*s - 3*s + d*s. Let p(j) = -2*j. Give p(l(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.008739ml in litres?\nAnswer: 0.008008739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:28 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 15*i - 9. Calculate the remainder when 50 is divided by t(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 14 + 26*u**2 - 8 in the form v*u + a*u**2 + k and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = -5*i - 4*p - 823, 3*i + 16 = -0*i - 0*i - 16*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19797772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104 + 25 - -5)*5\/(4 + 6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786642038 divided by 14.\nAnswer: 56188717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-5))\/(1\/5). Let m be 6\/24 - r\/(-8). Let b = -504 + 15623\/31. Is b greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + i**3 + (-2*i**2 + i**2 - i**2)*(-3*i + 0*i + 0*i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0 (c) -1\/43 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121819 + 1216953\/10. Let l = v - -124. Let q be ((-118)\/(-110) - 1)\/(54\/(-135)). Which is the closest to 0.1? (a) l (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784 + 784. What is the closest to -4\/7 in -0.3, 4, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4973324*-41.\nAnswer: 203906284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 26 - 26)*(649 - 98*t - 649) to the form l + c*t + j*t**2 and give j.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 33 = 45*k - 50*k, 3*k = -d + 30 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3304047\/8 or -413006?\nAnswer: -413006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-20))\/((-2)\/10). Let a(v) = 7 + 75*v**h - 1 - 74*v**2 - v. What is the smallest common multiple of a(0) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 25*r - 48*r + 22*r + 4. Give w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*w**3 + 119*w**3 - 58*w**3 - 2*w**4 + (2*w**4 + 0*w**4 - 4*w**4)*(-4 + 1 + 1) + 2*w**4 + 2*w**4 - 3*w**4 + 5*w**4 - 4*w**4 - 2*w**4.\nAnswer: 2*w**4 + 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3652 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/1 - (-31 - 3211\/(-91)). Let u = 2.1 + -2. Which is the closest to u? (a) 23 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 698422.37 * -5\nAnswer: -3492111.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 598808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b532b (base 13) in base 9?\nAnswer: 545688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 - 10*j**2 - 6*j - 4. Let o = 19681 - 19675. Let y(z) = -z**3 - z**2 + z + 1. Determine o*y(i) + d(i).\nAnswer: i**3 - 16*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 9. Let y = -4 + 11. Let i = -7 + y. What is q(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018321 to five decimal places.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 3. Let o be c(-2). Let a be 12\/8*10\/o. Let y(b) = a*b - 1 - b + 6*b. What is y(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.821166 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51707 - -34?\nAnswer: -51653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -766 or 2?\nAnswer: -766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 6*t + 5. Let k be w(-5). Suppose 33*b = 39*b. Solve 5*c + 5*u + 1 + 9 = k, b = 2*c - 4*u + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*q - s, 2*q - 4*s + s = 116. Let n be q\/12 + (-1)\/3. Solve -1 - 3 = n*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1912 by -239.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-1 + (-6)\/(-9)). Let w(r) = -6*r**2 + 7*r. Let o(t) = 2*t**2 - 3*t. Let c(f) = 9*o(f) + 4*w(f). What is c(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12562 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 6. Let c(t) = -11*t + 24. Calculate -2*c(h) - 9*u(h).\nAnswer: -5*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 4*s**4 - 2*s**4 + (s**4 + 3 - 3)*(-6 + 1 + 4)*(-1 + 0 + 8).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*y**2 + 4195*g**2*y**2 - 50*g*y**2 - 2*g*y + 7*y**2 wrt g?\nAnswer: 6*g*y**2 + 8390*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 1. Let u(v) = 6*v**3 - 4*v - 3. Give 5*q(w) + u(w).\nAnswer: w**3 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*t - 66. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21735 - -0.51735. What is the nearest to -0.6 in -2\/5, -31, -2, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 11*m + 61. Calculate r(17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1824.7 - -1825. Let r = 0.3 - 0.34. Let s = -0.06 + r. Which is the nearest to 1\/3? (a) s (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/12 + 5*w**4\/18 + 5*w**3\/18 - 5*w**2\/3 - 31*w. Find j, given that c(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 759 + -39. Suppose -7*v + 47*v - p = 0. Calculate the remainder when 64 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*30\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 5, k: 1, y: 6}. What is prob of picking 3 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 11. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -k - 111. Let f = 151 + k. What are the prime factors of f\/(-30)*(-10)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122088361 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -0.2. Let a = x - 0.1600056. What is a rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-1 + 8)\/7). Suppose 2*w + 0 - 8 = 0, -5*u + 4*w = -4. Suppose -4*j - 504 = -5*o - l*j, 404 = 4*o - u*j. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + n - 2*n - 8*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78248 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 1592267.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -204*x + 8. Let j(i) = -25*i + 1. Let r(g) = -2*d(g) + 17*j(g). Let v(h) = -18*h + 1. Determine 2*r(y) - 3*v(y).\nAnswer: 20*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 13951*v\/5 - 9429186.\nAnswer: -(v + 5746)*(v + 8205)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -210776, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2167 (base 8) to base 15.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15185 - 8436. What are the prime factors of v?\nAnswer: 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/27 (b) -15 (c) 5 (d) -5 (e) 5\/4 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 - 4*o**2 - o + 2. Give j(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1845.1 (b) 0.5 (c) -1 (d) 5 (e) -2.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -184\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2808)\/279 + ((-160)\/248)\/(-10))*9\/(-78)?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a**(1\/2)\/a)\/a*a))**(-1\/3))**(-8) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 145. Put -2\/19, -2\/5, a in descending order.\nAnswer: -2\/19, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17585752 is divided by 1216?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avasaaaasksskavssse. What is prob of sequence veak?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 9*h - 5*h**2 - 4*h**3 - 6*h**3 - 9. Let b(p) = p**3 + p**2 + p + 1. What is -36*b(g) - 4*n(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.3. Suppose 2*m + 13 = -3*g, 0 = -g + 2*m + 5 + 4. Let n = -2 + g. Which is the second biggest value? (a) 0 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - x**2 - x - 12. Let i be f(-4). Let w = 29 + i. Let n be 152\/(-16)*-2*1. Calculate the highest common divisor of w and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-10) + (-334)\/(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 65*g + 245. Determine k(-6).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 13*y**2 - 5*y + 11. Let g be q(-12). What is the second biggest value in 1\/6, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76653961 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5 - -21) + 181 + -201 + -91?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 11) in base 12?\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011101010111111110 - -110?\nAnswer: -101011011101010111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:43 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*z - 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 393427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 4)*(0 - 1 + 3) + 1 - 3 + 3 + 0 + 0 + 1 - 1 + 2 + 1)*(-1 - 5 + 25)*(v + 0 + 0).\nAnswer: 114*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1)*(-250)\/(-200).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*q**5 + 2*q**2 + 8*q**2 - 8*q**5 wrt q.\nAnswer: -960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7953*l**3 - 15909*l**3 + 7959*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -11644 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4721*g**2 - 6442*g**2 - 5427*g**2 - 2388*g**2 - 4038*g**2 - 1266*g**2)*(3*g - 3*g - 2*g**2) to l + o*g**4 + t*g + k*g**2 + m*g**3 and give o.\nAnswer: 29680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 24\/11, 0.5, 0.4 in descending order.\nAnswer: 24\/11, 0.5, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4451?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.003 - 33.997. Let h = q + 33.902. Let u = h + 7.798. What is u rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*sqrt(170) - sqrt(170))*6 + sqrt(170) - 4*-4*sqrt(170))\/(sqrt(60)\/(-2*sqrt(864))*2).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let t(z) = 8*z + 2935 - 2935. What is h(t(q))?\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9093092?\nAnswer: 2, 2273273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 28920 - 7620 = 0. List the prime factors of u.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (162\/28431*78)\/(2 - 1660\/879).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 21*q = -12*q + 2*z + 49, -190*q + 194*q + z + 62 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 46523632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(2\/7)\/((v**(2\/5)*v)\/(v\/v**(-6\/7))))**(-2\/37) assuming v is positive.\nAnswer: v**(-32\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {d: 2, g: 2, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24072\/2006)\/((-12)\/(-51)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -52, -133, -278, -505, -832, -1277, -1858?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359086.\nAnswer: 2, 7, 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -201*u + 203*u + l - 2, -2*u - l = u - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4537 + 4539.001. Let n = 6 + -8. Let r = n + a. Round r to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -38*t - 13 + 17*t + 13. Let k(p) = 3*p**2 - 4*p**2 + 2*p**2. Determine i(k(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 14504?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38046 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1 + 4. Suppose 2*q - q**r - 3*q**2 - 3 - 4*q + 3 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 596161015*l**3 + 804127645*l wrt l.\nAnswer: 3576966090*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 10*z + 45. Let l be s(-8). Suppose l*a = 38*a - 3240. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -31. Solve 1 = y*a + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567696300 divided by -53175\nAnswer: -10676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1361264, -1361356, -1361446, -1361534, -1361620, -1361704?\n\"Answer: x**2 - 95*x - 1361170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -191*q + 178*q + 11583. What is the greatest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36636*i - 36101*i = 31312 + 8278 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11191? (a) 0.3 (b) -51 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -31 + -8 - 35?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 1, g: 4}. What is prob of sequence oggg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 36*c = 76. Let d = c + 36. What is the greatest common divisor of 119 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - h = -9*t + 199, 2*t - 79 = h. Let s be 0 + (t - 12\/(-4)). Suppose 2*o = s - 15. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1315b9 (base 12) to base 7.\nAnswer: 2444241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/s)\/s*s**(-2\/13))\/(s**(1\/3)*s**(-1\/4)*s) assuming s is positive.\nAnswer: s**(-1441\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599110 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1, -30\/19, 0.4, -3?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 21*y**2 + 9*y + 1. Let q be h(-3). Let s = q - 79. Let u = s + 97. What are the prime factors of u?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, u: 1, h: 2, j: 8}. Give prob of sequence khuj.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-404)\/(-6). Let h = -34 + 37. Suppose h*y - 38 - b = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/2 - 0. Let h = 7186.01 + -7186. Which is the nearest to 0.2? (a) h (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82533 divided by 12?\nAnswer: -27511\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 4, -4, -43, -23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (204\/1938)\/(36\/(-24))\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -2)*(2275\/14 + -12). Calculate the greatest common factor of 231 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from osspfsosfa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150521053 + 14?\nAnswer: 150521111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6741.94387 to one dp.\nAnswer: 6741.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14461 - -27323. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 - 4\/12*10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:05 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + -0.1. Let h = 8 + -8.45. Let f = j + h. What is the third biggest value in -2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10222*d - 510866. What is c(-50)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by (-9321)\/(-27) - ((-122)\/18 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s - 1. Suppose -7 - 8 = -5*o. Suppose 0 = o*g + 2*g. Let j be x(g). Is j > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*i - 3*i = -28, -y + 3*i - 7 = 0. Let w = 12 + y. Suppose -6*z + w*z = -500000. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17667*a = -10241 - 81797 + 21370 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkokraaaarrkr. Give prob of sequence ak.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2047775*n**2 + 2047810*n**2 - 4095587*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwi when three letters picked without replacement from iwiwwwiwwwwwliwiww.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -8*k + 5*k. Suppose 5*m = 4*u + 29, 4*u = 3*m - k - 10. Let l(s) = -s**3 + 5*s**2 + 6*s - 3. Is l(m) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (55389 - -662) + -1*(-2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -6)\/(30\/12 - 3). Let t = 50 - h. Suppose 0 = z - t + 31. Solve 0 = 2*f + 2*o - 4, 2*o = -3*f + z + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*((sqrt(14)\/sqrt(2) - sqrt(7))*1 + (6*sqrt(63))**2).\nAnswer: -9068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0435 + 1.0045. Let l = h - 1.67. What is l rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*s + 2. Let p be 6 + -2 + (1 - -4). What is the smallest common multiple of 7 and p*(-4 - 28\/s)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/((-168)\/1005) + 2\/8. What is the highest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000200559 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236\/3 + -577\/6. Calculate the common denominator of (-6)\/(-2 - 124\/(-54)) and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -198 and -16.7?\nAnswer: 3306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x = -j + 4*j - 114. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039033908 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 10*n + 3*n - n + 0*n + 13*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154608 is divided by 23563.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*x + 137*x - 318*x + (-5 + 1 + 1)*(-2*x - 2*x + 3*x) + (-4*x + 2*x + 0*x)*(-2 - 4 + 2).\nAnswer: -41*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 3.076172.\nAnswer: -5.076172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02570752 to 4 dps.\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385 and 35497.\nAnswer: 177485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24*l + 4. Let j(c) = -71*c + 12. What is 3*j(k) - 8*o(k)?\nAnswer: -21*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 78 = 45. Suppose -n = -3*c - 2*j, -2*c + 3*c - 5*j + 9 = 0. What is the remainder when 40 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8079922 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.22 - 3.72. Let w = 793\/8 - 99. What is the closest to 1 in l, 4, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 37472*g - 37475*g - 12, -4*x = -3*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a - 1076 - 1325 = -457 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 547?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.862418061 to three decimal places.\nAnswer: 13.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 364862374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -22.73514673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 730*f**3 - f**2 - 27*f + 745. Let l(m) = -2190*m**3 + 3*m**2 + 72*m - 2236. Let b(o) = -3*l(o) - 8*y(o). Find the third derivative of b(g) wrt g.\nAnswer: 4380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-3)*f)\/f*f*(f\/f**2)\/f*f**(1\/8)\/f**7)\/((f**(-1\/4)*f**(-3))\/(f\/(f*f**(-7))*f**(-3))) assuming f is positive.\nAnswer: f**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/7)))\/(q*q**(-25)) assuming q is positive.\nAnswer: q**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243208 is divided by 243183.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 710 and (-2 + 104\/60)\/(44\/(-330)).\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181768133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((sqrt(400) - (sqrt(400) - (sqrt(400)*-2 + sqrt(400)))) + sqrt(4)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**7\/2520 - r**6\/360 + r**5\/10 + 9*r**2. Let c(n) be the third derivative of u(n). Calculate c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 - 400 + 1979*y - 1978*y.\nAnswer: y - 547","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26068900 rounded to the nearest one hundred thousand?\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14313041 - -2?\nAnswer: 14313043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 - -870. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**2\/2 - g - 28. Let d(n) = -n**2 - 7. Let p(y) = d(y) - 5*i(y). Give p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 112.6. Let n = 1.5 - o. Which is the biggest value? (a) 0.1 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38660 rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 393*r - 2370. What is p(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/60 - y**4\/12 - 7*y**3\/6 - 10*y**2. Calculate r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p - 56. Let m(g) = 15*g + 53. Let t(s) = -18*m(s) - 17*o(s). Let d = 8 + -6. Let b(z) = 0 + z - 3 + d. Determine 3*b(y) - t(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/13)\/(3\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 16990.\nAnswer: 1766960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1421 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.5 - -53. Suppose 3*b - 8*b - 15 = 0. Sort b, 0.9, v.\nAnswer: b, v, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/l**(-2\/11)*l*l*l**(2\/41))\/(l\/l**(2\/11))**(-2\/25) assuming l is positive.\nAnswer: l**(70988\/11275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/120 and -167\/1020?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 145.438, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18*d - 2. Suppose -9*y = 64 + 26. Let t be -3 - 8\/y - (-8)\/40. Calculate a(t).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198126638 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 12. What is u(14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8803, -9653, -11069, -13051, -15599?\n\"Answer: -283*n**2 - n - 8519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 291100 divided by -2050\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-12)\/36*(-1)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 times -87.7?\nAnswer: -10260.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/5)*x\/x**19)\/((x\/(x\/x**(-18)))\/x*x*x\/x**(7\/5)) assuming x is positive.\nAnswer: x**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 282. Let y = w - -104. Let a = -26 - -27. Sort 0, a, y in ascending order.\nAnswer: y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 - 38*p**3 + 174*p**2 - 234*p = 0. What is p?\nAnswer: 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 + y**2)*(3 + 2 - 6)*(-1402*y**2 + 195*y**3 + 1402*y**2).\nAnswer: -390*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 7525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.24583.\nAnswer: -0.64583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v**(6\/13)*v)\/((((v*v\/(v*v**(5\/3)))\/v)\/v)\/v**(-4\/5)) assuming v is positive.\nAnswer: v**(-1106\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868274.9 millilitres to litres.\nAnswer: 868.2749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - k**2 + 0 - 23 - k**2.\nAnswer: -2*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 4\/6)\/((-23)\/(-6)). Which is the smallest value? (a) p (b) -2 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7623.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6 - 59918*g - 2 - 6.\nAnswer: -59918*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 51 - ((27 - 13 - (-4 + 30)) + 10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k**2 + 3*k - 3. What are the prime factors of d(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.4 + -6. Let h = j - -0.5. Round h to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(4 + 2*l - 4)*(-330062*l**2 + 165005*l**2 + 165461*l**2 - 39*l).\nAnswer: -808*l**3 + 78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f - 51*f - 515*f.\nAnswer: -622*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 3*p - 4*h - 117, -5*p + 5*h + 845 = 0. Which is greater: p or 164?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-1 + -2) - 102. Let i = o + 148. Suppose -2*r - i = -4*r. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let t = -15 - -20. What is the closest to m in t, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8923.621 nanometers in kilometers?\nAnswer: 0.000000008923621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(8)*2) + sqrt(5) - sqrt(5))*-3 - 2*sqrt(720)*4)**2*-6.\nAnswer: -570375\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -i + 4, 4*q + 0*q + 15 = 3*i. Let y be (-1 - 2 - -2) + i. Put y, -3, -2 in decreasing order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60141, -120333, -180525, -240717?\nAnswer: -300909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -84*w + 45. Let o(c) = 19*c - 11. Let t(h) = 9*o(h) + 2*x(h). Determine t(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558*g**2 - 639*g**2 - 1280*g**2 + 2413*g**2.\nAnswer: -1064*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897640?\nAnswer: 2, 5, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -106.35+-1111819168\nAnswer: -1111819274.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 208 - (11 + -7 - -17).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msms when four letters picked without replacement from {s: 9, m: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 4, -4, 16 in increasing order.\nAnswer: -8, -4, 4, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 90885 = 229786. What is y rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 2*i**2 - 22906*i + 32. What is u(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*o = -88, -3*o = -5*v + 2*o + 130. Suppose 13*x = 9*x + v. What are the prime factors of ((-12)\/(-9))\/(x\/297)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*u - 42*u + 20*u**3 + 84*u to r*u**3 + n*u + c + t*u**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-6) - (-6)\/(-9). Suppose 0*q + 2*q - 24 = 0. Solve w*j - 11 = 4*x, -4*j - 3*x + x - q = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5041216 to the nearest integer?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 + 2. Let x(c) = -2*c**3 + 2*c**2 - 4. Suppose -16*r = 3*f - 11*r + 17, 2*f + r + 16 = 0. Give f*u(t) - 4*x(t).\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 665*y. Let n(h) = -842*h**2 + h + 46. Give v(n(u)).\nAnswer: -559930*u**2 + 665*u + 30590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in -4, -1\/6, -0.5, -0.8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 20 = -15*k. Solve -2*v = -k*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkrr when four letters picked without replacement from rrkrkrrrrrrrrrrkrrrr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (55\/(-15))\/((-3)\/54) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 take away -1?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 + -9 - (-29 + 17)) + -6 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79267, 79268, 79271, 79276?\n\"Answer: w**2 - 2*w + 79268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/147 and -143\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -0*s. Suppose 3*o + s*o = 0. Suppose 6 = -2*x - 5*n, o = x - 0*n + n. Solve 36 = -5*l - 4*y, 2*y = x*l - 5*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 75*b**2 + 79*b - 1477. Let x be u(38). What is the greatest common divisor of 10746 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 105395, 210785, 316173, 421559, 526943, 632325?\n\"Answer: -s**2 + 105393*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/(-43))\/((-3)\/((-258)\/2))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 - 1\/300*q**5 - 1\/60*q**4 + 0*q**3 + 0*q - 22*q**2. Let l(b) = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*u - 21, -4*u - u + 33 = -4*g. What is the closest to g in -2, 1\/11, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1113*b**4 - 1021 wrt b.\nAnswer: 4452*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t*t**4\/t)**(-1\/9)*((t*t\/((t\/t**(-7)*t)\/t))\/t*t**(-3\/4))**1 assuming t is positive.\nAnswer: t**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 136, 125, 110, 91, 68?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w. Let c be w - (1 + (-4)\/2). What is the units digit of (0 - -2) + c\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/2 - 25*b**4\/2 + 1451*b**3 + 2948*b**2 = 0. What is b?\nAnswer: -67, -2, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -16. Let x be 16\/3 - (-4)\/6. Suppose 4*q + 5*z = 0, -c - x = -q - 3*z. Which is bigger: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4))**(-3\/7) assuming a is positive.\nAnswer: a**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u - 1. Let v(q) = 50*q**2 - 3*q - 1. Calculate the remainder when v(-1) is divided by y(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:29 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/40)\/(57\/(-12)))\/((-4)\/60)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 11*d + 8. Calculate w(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - s = 9 - 2, x + 5*s = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 197022707*s - 4*s**2 - 197022707*s.\nAnswer: -4*s**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {n: 4, q: 4, m: 2, f: 2, k: 5}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28013746?\nAnswer: 2, 14006873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 - h**3)*(-2 + 2 - 2)*(-4 + 5 + 6).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 55*m - 665. Let h be a(-18). Let v = 6 - 5. Let l be ((-2)\/(-5)*v)\/1. What is the second biggest value in h, l, 2\/13, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1288 and 257140.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/6383 and 16\/3.\nAnswer: 19149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (16\/(-5))\/(12\/(-750))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4880964 divided by -2.\nAnswer: 2440482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/238 and ((-10)\/(-20))\/((-850)\/140).\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 37 - 31 - 37*z + 1)*(z**2 - 5*z**2 + 2*z**2).\nAnswer: 74*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2. Let a = -2 - -4. Let m(r) be the first derivative of -r**2 - r**a - 1 + r**2. Calculate o(m(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 372 + -395 + (0 - -55)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-81 - -73)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*u**4 - 61*u**4 + 3 - 49*u**4 - 99 wrt u?\nAnswer: -396*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.50392944 - -0.5039. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 + 146. Differentiate f*r + 16 - 4*r + 13 + 7*r with respect to r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/178 and -81\/160?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 8\/(-34) + 718620\/3451.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 14}. What is prob of picking 1 z and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398291?\nAnswer: 3, 17, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 5949876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134806, 136838, 138870, 140902, 142934?\n\"Answer: 2032*d + 132774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) - (-1 - -2). Let z be y\/(-16)*2*(51 - 1). Suppose -27*s = -z*s - 276. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -13*r**2\/2 - 232*r - 206. Let t be g(-19). What is the highest common divisor of 1095 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 96.71139ug?\nAnswer: 96711.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 35*v**2 + 11945*v + 15332. Give r(-340).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 9*j**2 + 8*j + 11. Suppose 5 = 4*p + 1, 2*p = -4*b + 34. Let u be n(b). Suppose -10*c + u*c = 34. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47434\/5 + 9487. Which is the nearest to 174? (a) t (b) -4\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11526401.0317 - -11526864. Let k = -463 + n. Round k to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.45023 and -19.\nAnswer: -103.55437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*((sqrt(170) - sqrt(170)*5*-6) + sqrt(170) - sqrt(170)))\/((sqrt(200)\/(sqrt(5)*5))\/sqrt(4)).\nAnswer: 1 + 465*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*y - 174 = -172, -4*r + 3 = -3*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*i - 5*g, -50*i + 16*g = -45*i + 117 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (-1 - 2 + 2)*(0 + 1 + 1) - 1 + 0 - 1 + 3 - 6 + 2 + 1 + 1 - 8)*(22*c - 58*c + 13*c).\nAnswer: 299*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969551 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -74\/23?\nAnswer: -74\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 8200.\nAnswer: 90200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -0.027, -2\/7, 6, 1\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 + x**3 + 5*x**2\/2 - 2*x - 24. Let m be b(4). Solve m*n = 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -10*p**6\/3 - 532*p**5\/5 - 321*p**4 - 860*p**3\/3 + 52*p**2 + 192*p + 1586. Determine q so that z(q) = 0.\nAnswer: -24, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 + 7*u - 4. Let y be d(-7). Let b = 9 - 14. Is b less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3. Let p(t) = -t**3. Let o = -16 - -12. Calculate o*s(y) - 2*p(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4\/3 - 393624*x**3 + 787244*x**2 - 1180864*x\/3 = 0. What is x?\nAnswer: 0, 1, 295216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 + 33*o. Let v(y) = -5*y**2 + 33*y. Let k(r) = -2*a(r) + 3*v(r). Find the second derivative of k(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2849877 divided by 12\nAnswer: 949959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5915603 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/320*45\/144*272\/(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -119817 and -66847392.\nAnswer: -66967209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567) - (sqrt(252)*-1 + sqrt(252))) + 1.\nAnswer: -9*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let l(s) = s**2 + 4*s - 3. Let m be l(-5). Let p(h) = 0*h + 3*h**m - 2*h + 2*h. Determine p(y(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*t + 6*t + 28*t)*(-21*t**3 - 25*t**3 + 17*t**3).\nAnswer: -1595*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2242, -2237, -2228, -2215, -2198, -2177, -2152?\n\"Answer: 2*q**2 - q - 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (15\/10)\/(30\/(-9200)*-5) is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -2*1\/(-2). Let g = w + -3. Let y = -2.3 - -1.8. Which is the nearest to 2\/9? (a) y (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 13) to base 8.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + -7123\nAnswer: -7122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -26 (c) 20 (d) -2\/9 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 2, x: 3, b: 2, l: 1, n: 1}. Give prob of picking 1 l and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 3\/7 (c) -0.03 (d) 1\/9 (e) 0.03 (f) 128\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + (18 - (11 + (-1 - 7))) - -5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -7*o + 6*o - 76212, -p - o = 19050. Let i = 30027 + p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:43 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((-8)\/(160\/12)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022046 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from hhkkkhhhhh?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -18. Let b = 21\/11 - 17\/11. What is the second biggest value in n, -5\/2, b?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d + 3. Let n be t(-2). What is the smallest value in n, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 + 14*u + 6. Let v be b(-7). Solve 3*f - 6 - v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.715 - -0.515. Let m = o - -144.2. Which is greater: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 57 = -3*p, -p - x - 11 = -0*p. Let z = 38 + p. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - (-2*2*sqrt(1400) - sqrt(1400)))\/(4*sqrt(4)\/(sqrt(12)\/sqrt(6))))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 38 = -2. Suppose 0 = -5*a, x - 5*a - f = -3*x. Solve 16 = -5*h + 5*p + x, -2*h - p = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:54 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 556 - 194. Let p = j + -6156\/17. Put p, 3\/5, -2 in ascending order.\nAnswer: -2, p, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 77. What is the remainder when f(-16) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -15. Which is greater: b or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 938 divide 7513380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:19 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403420793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*n**2 - 500 with respect to n.\nAnswer: 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 117. Suppose 2*i = -13*k + 12*k + 8, -r*k + 6 = 0. Solve 3*v = -z - 16, 5*z - i*v + 0 - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*c = -7, 0*c = 4*w - 3*c - 10. Let n be (1 + w)\/(4\/(-30)). Is 92*1 - n\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 126*s**2 + 529*s + 1457. Give n(-130).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 2. Let b be h(-5). Let l = b + 8. Solve -5*z + 3*r + 0*r - 4 = l, 5*z - 5*r + 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -103.3 and -5\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -0*i - 14. Solve -i = -b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.739 to one dp.\nAnswer: 97.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 101 + -107 + 27 + -1. Calculate the highest common divisor of 4330 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let w(a) = a**3 + 6*a**2 - 15*a + 5. Let x be w(-8). Give u(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4501674944?\nAnswer: 2, 13, 5410667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.9718 or -1085?\nAnswer: -1085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55554.89 years to centuries.\nAnswer: 555.5489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7899, 7926, 7975, 8052, 8163, 8314, 8511, 8760?\n\"Answer: j**3 + 5*j**2 + 5*j + 7888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613462704.\nAnswer: 2, 3, 53, 241141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50e1 (base 16) to base 7\nAnswer: 114236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let r(m) = -3*m - 4. Let j = 0 - 1. Let g(l) = j*r(l) + 5*w(l). What is the lowest common multiple of 20 and g(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:50 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -35. Suppose z*g - 100 = -4*n, 4*g = -2*n - 3*n + 185. Solve -5*r + 5*h = -g, -2*r = -5*r + h + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 471 by 3.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12*-2)\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 - 35354161*s**3 - 1526358*s + 14.\nAnswer: 12*s**2 - 212124966*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - 4*o**2)*((-2*o**2 + 5*o**2 - 2*o**2)*(2 - 1 + 1) + 0*o**2 + 8*o**2 - 3*o**2 + 56*o**2 + 35 - 2*o - 58*o**2 + o).\nAnswer: -20*o**4 + 4*o**3 - 140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -51.2.\nAnswer: -3225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 - -258. Let i(s) = -s. Let h be i(-3). What is the closest to 1 in k, 0.4, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140, 265, 482, 797, 1216, 1745, 2390, 3157?\n\"Answer: q**3 + 40*q**2 - 2*q + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 325. Let x = -252.296 + f. Round x to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 153*a + 99*a - 63*a - 5 to the form b*a + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + w. Suppose 4*a + x + x - 20 = 0, 0 = 5*a + 5*x - 35. Let f be j(a). Let i be (-6)\/f - 36\/(-10). Solve 0 = i*v + v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4399, 37.\nAnswer: -6, 37, 4399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*(-1104)\/(-736).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(30) - 1*sqrt(3630))\/(sqrt(110)\/(sqrt(11)*-2)).\nAnswer: -1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1\/15*f**6 + 0 + 0*f**5 + 1\/2*f**3 - 3*f + 0*f**4 + 0*f**2. What is the second derivative of g(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1168\/3 + -386. Let k = -483 - -1451\/3. Put -4, -3, q, k in descending order.\nAnswer: q, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.504486 centuries?\nAnswer: 250.4486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + 1 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/31, -59\/40, -0.4, 1\/5, 0?\nAnswer: -59\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101829*d - 850 = 101812*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 - -165. Solve 2\/19*f**5 + 0*f**4 + r - 2\/19*f**3 + 0*f + 0*f**2 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252, 199, 106, -33, -224?\n\"Answer: -b**3 - 14*b**2 - 4*b + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46813112 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 + 4*b + 2. Let t be l(4). Suppose u = t*u - 22. Calculate the highest common divisor of u and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.91 times 18019?\nAnswer: -34416.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 8. Suppose 5*r + 22 - 72 = 0. Let f be p(r). Let j be 264\/(-770)*5\/(-2). Which is greater: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiia when four letters picked without replacement from {a: 18, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15979 <= 15980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17172, 17169, 17164, 17157, 17148, 17137, 17124?\nAnswer: 17109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876.27 years in centuries?\nAnswer: 18.7627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45259\/7 + 6466. Factor -6\/7*k - 9\/7 + y*k**2.\nAnswer: 3*(k - 3)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78650.3 millimeters in micrometers?\nAnswer: 78650300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 58 (b) 5 (c) -3 (d) -5\/3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -98*h - 88*h + 182*h + 2. Let v(g) = g. Calculate -c(s) - 5*v(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 784877.6 litres in millilitres?\nAnswer: 784877600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(4*i**2 - i**2 - i**2)*(-2 - 2 - 1).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -94*p**3\/13 + 1688*p**2\/13 - 2936*p\/13 - 128\/13 = 0.\nAnswer: -2\/47, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 4*m**2 - 3*m + 2. Let d be f(2). Suppose 2*c - 4*x + 67 = -49, x + 223 = -4*c. What is the tens digit of (15\/d)\/(2\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 25\/10)*6*-1. Let i(c) be the second derivative of -5*c + 0 + 0*c**2 + 1\/70*c**5 - 1\/21*c**b + 0*c**4. Factor i(g).\nAnswer: 2*g*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5891.4935 and 0.6?\nAnswer: 5892.0935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/180 - d**5\/60 - d**3\/2 + d**2. Let z(p) be the first derivative of r(p). Give z(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2703 + -2674.42. Let r = z + -26. Round r to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1135, 1126, 1103, 1060, 991, 890, 751, 568?\n\"Answer: -m**3 - m**2 + m + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + k + 3, -5*k + 7*k = -2. Let j(i) be the third derivative of 1\/30*i**3 + 0*i + 1\/300*i**5 - 3*i**g + 0 + 1\/60*i**4. Factor j(p).\nAnswer: (p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - (12 + -12)) + 117. Which is greater: 102 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + 3746)*1 - (9 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39240 - 3396 = 11948*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p - 5*p + 34 + p**2 + 6 - 39. Calculate t(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133639667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d = -121*d - 116*d + 351*d - 15, -d = -2*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -97. Let q = 106 + f. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/9 - 150838*u**3\/9 + 316127040*u**2 - 42615475448*u\/9 - 523090215872\/9 = 0.\nAnswer: -8, 23, 37702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from segxsssvrssxvxxsr. What is prob of sequence rvvx?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-2)*(-76 - -75). Solve v*o - 8 = 15*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 + 2)\/2)\/1. Is 5 - (i + 3 - 3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026619.\nAnswer: 7, 89, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27253689.\nAnswer: 3, 23, 394981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*v - 119*v = 15, 0 = -5*q - 2*v + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -727 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7*f + 504 = 0. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-8))\/(1\/(-2)). Suppose -3*p + 6 = 0, 0 = -s + 4*s + 2*p - 7. Let w = s - j. Which is the closest to 1? (a) w (b) 1\/6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - 2*o**4 - 4*o**4 + (2 + 0 - 1)*(-4*o**4 + 5*o**4 - 2*o**4) + (-o**2 + o**2 - 2*o**3)*(0*o + 4*o - 3*o) + (2*o**3 - o**3 + 5*o**3)*(4*o - o - o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 381004?\nAnswer: 2667028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 d, and 1 o when four letters picked without replacement from ohohhooohohhododooo?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 - 4729*b**4\/3 + 5602660*b**3\/3 - 27876304*b**2\/3 - 22410656*b\/3 + 111580880\/3 = 0. Calculate b.\nAnswer: -2, 2, 5, 2362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*2*((sqrt(225) + sqrt(225)*1)\/sqrt(5))\/sqrt(9))*3.\nAnswer: 12 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.0917 - -0.0083. Let k = -74.1 + f. Which is the smallest value? (a) -2\/9 (b) k (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - 2) + (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10440 - 10439. Let x = 0.2 + 0.2. Put n, -1, 0.5, x in descending order.\nAnswer: n, 0.5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935 + 935 - 3*y**3 + 5*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + a + 1. Let z(o) = -345*o**3 - 12*o**2 - 6*o + 116. Let i(s) = -6*r(s) - z(s). Differentiate i(v) wrt v.\nAnswer: 1035*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23621 (base 7) in base 14?\nAnswer: -2348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3760 and 48.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33 - -33)\/(-2 + 4 - -2). Solve 11*t - 32*t + 84 = v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202947950 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66756467.\nAnswer: 17, 97, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3702 + 14781. List the prime factors of w.\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.421 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -337622.6 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 154 = -61. Factor l*h**2 - 2 + 14*h**2 - 29 + 2 - 5*h**4 - 35*h - 11 + 35*h**3.\nAnswer: -5*(h - 8)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014037814 to six dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1 - 4374?\nAnswer: -4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113? (a) -2 (b) 0.4 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175*c**3 + 100460*c**2 - 14420315*c + 823690.\nAnswer: -5*(c - 287)**2*(35*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -98*v**5 + 3172932*v**4 + 70292806*v**3 + 421953624*v**2 + 354833848*v = 0.\nAnswer: -74\/7, -1, 0, 32399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - 25 + 11 + 10)*(g + g - 3*g).\nAnswer: 11*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-4)\/q))\/q*q\/q**7 assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.31 + 2?\nAnswer: -26.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*w - 10*w - 10*w - 7*w**2)*(-2 + 2 - 2) in the form k*w + v*w**2 + s and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2343)\/(-426)*9\/(56925\/20)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15100 (base 6) to base 3\nAnswer: -10022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + 14\/4. Find the common denominator of -1 - 31\/(868\/(-264)) and -11*5*(-1)\/f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4275*-0.4.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n - 5*n + 0*n + 37 - 3*n. Let j be h(11). Suppose 1 = -3*r + j*q + 126, 4*q = r - 39. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/101 bigger than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36884737 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09959 and -3.\nAnswer: -0.29877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24235 and 313205.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogxxycod. What is prob of picking 1 x and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 55197\nAnswer: 55201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-29 + 17 - -40) - -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**2 - 7*y + 5. Let s be r(3). Let z = -102 - s. List the prime factors of (z - -147)*2 - 4.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*j + 808, 5*t = 4*j + 395 + 614. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 11:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(-2\/3)*p))\/p)**37\/((p\/(p**(2\/3)\/p))\/(p**(-2\/3)\/p)))\/(p**7\/p**(-6)*(p\/(p\/p**(2\/5)))**(-2)) assuming p is positive.\nAnswer: p**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35, -5, -3, 12, 27, 3 in ascending order.\nAnswer: -5, -3, -2, 3, 12, 27, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -168, -149, -122?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 226 - 21 = 0. Let m(p) = p**3 + 20*p**2 + 6*p - 9. List the prime factors of m(g).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 63 + 82 = -2*x, d + 8 = -x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 14 - 17 + 31 - 7*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7*t**2 + 8*t - 6. Let c be l(-5). Let q(m) = m + 2. What is q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707 + 761. Suppose 5*h - 2*a - 407 = 0, 0 = -3*h - a + 131 + 111. Calculate the highest common divisor of o and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4\/3, -0.3616, 6?\nAnswer: -0.3616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -222*u - 1507. Calculate the remainder when f(-9) is divided by 222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/7 - 57\/(-133).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f + l + 238, 0 = 4*f - 5*l - 203. Suppose 5 = 7*w + f. Let m(o) = 2*o - 1. Give m(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*r + 276, 2*r - 151 = -3*s - 21. Is 70 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*60\/(-6). Solve 0 = 3*g + 20 - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144331411 (base 5) to base 4.\nAnswer: 2331232102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/5 - 11*j**2\/5 + 12*j = 0.\nAnswer: -15, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63125 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + -2 + sqrt(28)\/sqrt(16) - (sqrt(35)\/(sqrt(5) + sqrt(55)\/sqrt(11)*6))**2.\nAnswer: -15\/7 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14154*d**3 - 29631*d**3 + 15297*d**3.\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 + v - 3. Let b be k(4). Let j be 16\/(-80) - 32\/(-10). Suppose -2*s - m - 1 = -4*m, j = -s - m. Put b, 0, s in ascending order.\nAnswer: s, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3.6, 3, -3, 0.23?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 14*g**2 + 29*g - 24. Let q be o(12). Calculate the greatest common factor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 50. Let d(x) = -y - 3*x - 3 + 3 + 0. Calculate the remainder when 96 is divided by d(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/152*(-1)\/(-2). Let n = -137\/1140 - w. Put 2\/9, 6, n in descending order.\nAnswer: 6, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (1*1*sqrt(117) + sqrt(117) + sqrt(117) + (sqrt(117) - sqrt(117)*-2)*4)\/(sqrt(729) + (sqrt(729)*4 - sqrt(729))*4 - sqrt(729)).\nAnswer: 5*sqrt(13)\/36 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*0\/8. Suppose -5*y = 20, i = -2*c - 0*y + 5*y + 22. Let h(n) = -n + c - 1 + 0*n. Let b(p) = 2*p. What is h(b(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*q - 2, -2*c + 14 = -4*q + 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 50 + 6 = 3*y, -5*y + 20 = 5*n. Let p = 15 + n. Suppose -25*u = -p*u - 48. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 - v**2 + v. Let j be d(1). Let o be ((-3)\/(-2))\/(3\/j). Is o less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399051 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 + 775*a**4 - 16905*a**3 - 232895*a**2 - 332260*a + 581280 = 0.\nAnswer: -173, -8, -3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**2 - 18*x. Let u(k) = -11*k**2 + 15*k. Let l(g) = -5*m(g) - 6*u(g). Let q(c) be the third derivative of -c**4\/24 + 5*c**2. What is l(q(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -17.3, 0, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 17, o: 3}. Give prob of sequence oobb.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2 and 37\/2096?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1745 + 3619 - 1712 + 254*o.\nAnswer: 254*o + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.119 - 1.119. Let k = -0.97 - u. Which is the third smallest value? (a) k (b) 4 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163\/15 + 35\/3. Let q(h) = -2*h + 20. Let z be q(10). What is the second biggest value in -2\/5, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -7*b + 4*b + 9, 4*h + 2*b = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 10. Let c = 18 - 25. Let z = c - -14. What is the remainder when m(z) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 638316*j + 1276620.\nAnswer: 3*(j + 2)*(j + 212770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6)**(-34)\/(y**5\/y**(4\/5)) assuming y is positive.\nAnswer: y**(-1041\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*h + 2*u + 412, 2*h + 4*u = -404. Which is smaller: h or -209?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -9*q + 24. Let b(r) be the third derivative of 0*r + q*r**3 - 1\/45*r**5 + 1\/18*r**4 + 0 + r**2 - 1\/120*r**6. Factor b(a).\nAnswer: -a*(a + 2)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.2? (a) 7\/6 (b) -5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-6)*i*(i**(3\/4)*i)\/i*(i**(-1\/3))**(2\/25) assuming i is positive.\nAnswer: i**(-983\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 11. Let z = -18 - j. Let k be (-1 + 4)*(-4240)\/z. Round k to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 83*k. Let n(j) be the third derivative of 125*j**4\/24 + 2*j**2 - 154. What is -8*d(a) + 5*n(a)?\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -22*k**2 + 140*k - 490. Let r(a) = 196 + 11*a**2 - 68*a + 2*a**2 + 12*a - 4*a**2. Let c(p) = 5*l(p) + 12*r(p). Suppose c(f) = 0. What is f?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -83.2. Let r = 0.24 - -11.76. Let l = q - r. Which is the second biggest value? (a) 3\/7 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + 29. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247051321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + j**2 + j + 2*j. Let y(g) = -2*g**2. Calculate x(y(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(351\/78 - (0 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*z**2 + 3848809*f + z**3 - 46961*z**2 + 3*z - 19 wrt z.\nAnswer: -2*f*z + 3*z**2 - 93922*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/6 + 137942*a**2\/3 + 275885*a\/6 = 0 for a.\nAnswer: -1, 0, 275885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*a - 6*a + 16 = 0, 5*i - 5 = -5*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 6) to base 4.\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 4930656016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604008?\nAnswer: 2, 3, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 5578831*b**2 - 670853944*b?\nAnswer: -24*b**2 - 11157662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 0.9. Let w be -1 + (1 - (-98)\/902). Let f = -3\/41 - w. Which is the closest to 1\/2? (a) n (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1404 and 53970264?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0129069 - 0.0079. Round w to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 10*l + 19. Suppose 40*n + 408 - 88 = 0. Let g be w(n). Let c(o) = -o**3 + 5*o**2 - 3*o - 3. Determine c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23626*d**6 - 11*d**3*u**3 - 4*d**2*u - 42568*d*u**3 wrt d.\nAnswer: 2835120*d**3 - 66*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 520302 (base 9) to base 10\nAnswer: 308612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t - 13. Let h = -22 + 26. Let w be r(h). Suppose 5 = 3*m - w. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*b = 3*b. Solve t - 2*t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -105*n - 20. Let f(p) = 35*p + 7. Calculate 11*f(d) + 4*z(d).\nAnswer: -35*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/13 + 71237498*l**2\/13 - 634347604543750*l\/13 - 634347675781250\/13 = 0?\nAnswer: -1, 17809375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009921697 rounded to five decimal places?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-13))\/(6\/3*-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-42)\/4)\/7)\/(3\/(-4)). Suppose 0 = -5*q + 4*z - 5*z + 403, -3*z = -u*q + 168. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 16. What is the least common multiple of ((-28)\/10)\/(g\/(-95)) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:28 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 200762778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*20\/225)\/(-2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*s**2 + 16*s - 16*s)*(-3 - 4*s**2 - 1 + 2).\nAnswer: 144*s**4 + 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) - -13 - 2. Suppose y*d + 15 - 64 = 0. Solve 5*u - 5*z = -30, -2*u + 14 = -d*u + z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574 or 1116?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.1829\nAnswer: 0.01829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 336212743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 382?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 4.131 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(190)\/(-1*sqrt(10)).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 790*x - 37. Let d be (-66)\/(-11)*2\/4. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {g: 9, a: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -8\/9*s**5 - 12 - 1280\/27*s**3 - 1\/27*s**6 - 80\/9*s**4 - 1280\/9*s**2 - 2048\/9*s. Factor k(x).\nAnswer: -2*(x + 4)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 16. Suppose 0 = -h*p + 533 - 19. Is (3 - 0) + p + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*m - 5, 8*w - 18 = -2*m + 5*w. Suppose 1 = -2*g + 5*a, 7*a = 2*g + m*a. Is g\/8 - (-83)\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/469 and -17\/7?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -5 (c) -0.277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 515815219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*w - 3*j, -3*j + 28 = 5*w - 7*j + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -2\/5 (c) 2.9478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 96*f**3 - 11*f**2 - 32*f + 215. What is the tens digit of i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170694*m**2 - 129125*m wrt m.\nAnswer: 341388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1450.5 + 1450. Which is the second biggest value? (a) -25 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6)*48\/32. Suppose o*t + 290 = d, 0 = 2*d + t + 3*t - 620. Suppose d = 4*x + x. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2234 - 778 = 14*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 5*2\/(-8). Let u be 54\/(-162) + 38\/24. Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5827, -11657, -17487, -23317, -29147?\nAnswer: -34977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -3\/5 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2 + (-21)\/(-3). Let o(s) = -3*s - 3*s + c*s + 0*s. Let d(t) = -2*t. What is d(o(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 8, d: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 27\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/6 + v**3\/6 - 2*v**2 + 2*v. Let a(f) = -4*f**2 - 2*f + 7. Let h be (-12)\/8*16\/(-4). Determine h*a(u) + 11*s(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + 6*(2 + sqrt(288) + (sqrt(288) - (-1 + sqrt(288))) + sqrt(288) + -1))*6)**2 + -3.\nAnswer: 120960*sqrt(2) + 1497889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1113697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 9*v - 12. Let p be o(-7). Suppose 4*h = -p*l - 42, -2*h - 5*l - 6 = -3*h. Which is bigger: h or -12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8004710?\nAnswer: 2, 5, 7, 173, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3049.2 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1349*o**2 - 3 - 2*o**3 + 1346*o**2 - 2*o**3 + o**3 - 3*o**3 - 2*o**3 + (5*o**2 - o**2 - 2*o**2)*(-o + o - o).\nAnswer: -10*o**3 - 3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 343115.6ng in grams?\nAnswer: 0.0003431156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/182 and -97\/540410?\nAnswer: 3782870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*o + 6. Solve 5*t - 5 = o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -y*c - 1 = -7. Suppose -5*u = -c*u - 14. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3815 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*b + 578 - 224*b + 76*b - 577 + 65*b.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c = -38*c - 115578. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 295701261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-1))\/(-9) - 18\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/12 + y**3\/2 + 92*y**2. What is d(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -5*l**4\/24 - 39*l**2 + l. Let y(r) = 2*r. What is c(y(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 29*c - 2*b, c = 7*b + 2477 - 2450 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + l - 5756178 = 0, -6*s + 4*s + 2*l + 2302476 = 0. Let q = s - 6151236. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1102971.674 to the nearest 100.\nAnswer: -1103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63763405, 63763407, 63763409, 63763411?\nAnswer: 63763413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/13*t + 2\/13*t**2 + 0.\nAnswer: 2*t*(t + 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/11040 and 73\/96.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from nnzzfbrrc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or -217439?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 - 6. Let d(b) = 11*b**2 - 13. Let p = -27 - -15. Let m = 25 + p. What is m*v(a) - 6*d(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12641847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1846 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/5 in 8, -0.1, -1, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1010110?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0279741 rounded to five dps?\nAnswer: 0.02797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -23332096.9 to the nearest ten thousand.\nAnswer: -23330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17448798 plus -415.36?\nAnswer: -415.18551202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2)\/((-2)\/(-8)). Suppose -5*s + 114 = -3*q, -5*s + 120 = -10*q + 5*q. Let i be 1 + 7\/(s\/12). Solve 2*l - y*h - h = 12, -3*h - i = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + 3*g**4 - 2*g**2 + 1 + 0*g + 2*g + g**4 in the form z*g + o*g**4 + p*g**3 + m*g**2 + q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 346139*p + 135471*p - 194423*p - 1530187*p.\nAnswer: -1935278*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/246639 - -20321409160\/2219751. Let v = 9153 - c. Calculate the common denominator of v and 20.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 322555*k**3 + 155*k**2 - 155*k - 620. Let b(a) = 4189*a**3 + 2*a**2 - 2*a - 8. Calculate 155*b(m) - 2*c(m).\nAnswer: 4185*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4516*k = -35408 - 207008 - 272408 for k.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*d**3 + d**2 + 112*d wrt d.\nAnswer: -276*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (24822\/(-12))\/(-9 - (-231)\/28) is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 + 39 = 0. Suppose 0 = -a - c + 12. Sort a, 0, -5 in decreasing order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2128 and 228?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 3*r + 2*r, -2*b + 4*r - 10 = 0. Is (-2 + 1)*(b - 22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 72347 = 72711 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001883089 rounded to seven decimal places?\nAnswer: -0.0001883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5691506 to the nearest integer?\nAnswer: 2386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.4 + 27. Suppose 0*w - 3*w - 9 = 0, -5*w - 14 = z. What is the nearest to z in 0.4, x, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 2.2. Let q = o + -1. Let y = -324.7 + 325. Put y, -0.5, q in ascending order.\nAnswer: q, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*d + 640 = 3*j, 640 = 5*j + 5*d. Let z = j - 180. Let i = 13 - z. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millisecond in microseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -82. Suppose 0*i + 4*i = 0. What is the nearest to i in -2\/13, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.58 + -0.44. Let y = f - -9. What is y rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + -0.07. What is the closest to d in 2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/51 and -46\/7?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2049 and 499442?\nAnswer: 497393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1610 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/9 + 18*r**4 + 1468*r**3\/9 + 3388*r**2\/9 - 490*r\/3 - 3550\/9 = 0. Calculate r.\nAnswer: -71, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 + 5*g - 2*g - 1. Let b(c) = c + 5. Let w be b(-6). Let x(t) = -1 + 1 - t - 1. Determine w*x(i) - o(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 9. Let r = i - 11. Solve -7 = -r*g - 5*l, -3*g + 2*l = -l + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/21)\/y)*y)\/y*y)\/(y*y**(-2\/17)\/y*y)*(y**(-2\/11)*y)\/((y\/y**(-7)*y)\/y) assuming y is positive.\nAnswer: y**(-19513\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 47. What is the tens digit of 4 - 2 - (-56 + o\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, t: 7, f: 2}. What is prob of picking 2 t, 1 p, and 1 f?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/9 (b) -76 (c) -8\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2453 and -228942846.8?\nAnswer: 228940393.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 - 16 = 0. Suppose 947 - 247 = 4*x. Suppose 5*q + 2*d = x, 0 = d - b - 1. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-4 + (7 - -10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 17 = -70. Let g = t - -37. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjwmsrsswshr. What is prob of sequence hm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000011110100 (base 2) to base 3.\nAnswer: -2220222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 + 2*k + 3. Let v be q(-5). Let r be (18\/24)\/(3\/12). Suppose -3*w = -r - v. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15068 and 15068 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + c = 3*c + 85418, 4*h = 3*c + 68333. Suppose 35*q - 31*q - h = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 3900, -0.137, 2\/21.\nAnswer: -15, -5, -0.137, 2\/21, 3900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 3*z + 72 = 0, 0 = -z. What is the common denominator of -15\/11 and 255\/10*(-8)\/g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -6, 1, 8, 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -98842.9*32\nAnswer: -3162972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.271 - 0.071. Let p = -0.8 - u. Which is the closest to 0.5? (a) p (b) -1\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:40 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -28, -3, -2, -7 in increasing order.\nAnswer: -28, -7, -3, -2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2)\/(-3)) + 108. Let i = -382 - -414. Suppose 2*f - i = -5*l, -f - 4*l + 34 = f. Calculate the greatest common divisor of d and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 40.08094 nanometers?\nAnswer: 0.04008094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8352, -8350, -8348?\nAnswer: -8346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -13. Let d(l) = -3*l - 19. Let g be d(o). What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*a. Let v(y) = -31*y - 1. Suppose 4*h = 143 + 89. What is the remainder when h is divided by v(a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963 - 754. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -16\/3*v**3 - 239\/15*v**6 + 27 + 14*v**4 - 12\/5*v**5 + 0*v**2 - 2*v + 20\/7*v**7. Solve p(n) = 0.\nAnswer: -2\/3, 0, 1\/4, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -30*h**2 - 47*h + 6. Give t(-6).\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 37. Suppose -s*f = 5*f - 112. Suppose -5*u + f = -u. Calculate the greatest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 787\/8. Let a = 1 - 5. What is the smallest value in m, a, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 513*s + 490. Let p(x) = -128*x - 126. Let z(f) = 26*p(f) + 6*w(f). What is the derivative of z(l) wrt l?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25555, -51128, -76687, -102226, -127739, -153220?\n\"Answer: n**3 + n**2 - 25583*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*z + 5*z**2 - 2*z**2 - 98*z - 119*z + 4 as o*z + k + d*z**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 28. Calculate the common denominator of 15\/a*(-162)\/(-10) and 23\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/4 + 395*n**2\/4 + 499*n + 400 = 0. Calculate n.\nAnswer: -4, -1, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -922 + 921. Let x(m) = m**3 + 8*m**2 - 8*m + 3. Let d be x(-9). Let u be (-32)\/(-130) + d\/15. Which is bigger: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 + 119*k - 37. Determine f(-8).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*p = 5*p + 13, -r = 5*p + 3. Let c = r - -4. Let q(z) = z**3 - 4*z**2 - 10*z + 7. List the prime factors of q(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-171)\/20 + (-8)\/(-160)*-5. Let c = 83\/10 + s. What is the biggest value in -40, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 43817268?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 13*f + 5. Calculate o(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 23 = q. Let f be 15\/q - (-3)\/6. Suppose -f*o = -104 - 160. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 40)\/((-77)\/121).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-28)*(14\/(-4))\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 - 2 = 0. Let y be (3\/(-2))\/((-14)\/28). Suppose 6 = y*d + 9. Is d greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klnjw. What is prob of sequence lw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 1 + 0*c + 0. Let x(m) = -11*m + 2. Let y(q) = q**2 + 54*q + 286. Let o be y(-6). Give o*x(i) - 5*a(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 759 divided by -1\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9697786 and 395828.\nAnswer: 19395572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:37 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1343 - 1300. Calculate the remainder when 193 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 843 + 517*b + 1193 - 3601 - 1645*b + 4*b**2 - 3011.\nAnswer: 4*(b - 286)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 12*n - 31. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -1\/2*j**5 - 2\/3*j**3 - j - 2 + 0*j**2 + 7\/6*j**4. Let u(l) be the first derivative of a(l). Find f such that u(f) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 29*a**5\/20 - 29*a**4\/6 - 17*a - 3. Find the third derivative of m(d) wrt d.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*j = 12, 0 = -j - 2*j - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-52)\/39)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 460 - 458. Suppose -5*i + 2*q + 131 + 439 = 0, 0 = d*i + 5*q - 199. Calculate the greatest common divisor of i and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611723794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3417*b + 187926. Calculate o(55).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 242*z = 2*h - 240*z + 52, -h + 12 = -z for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 43, -6\/23, -0.5, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/6)*h**3*(h*h\/(h**(2\/5)*h*h)*h)**8)**(10\/7) assuming h is positive.\nAnswer: h**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1020968 and 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 45*y - 3. Let f be v(-13). Calculate the greatest common factor of f and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 102 = -6*o. Let l be 644\/17 - (-1 + (-90)\/o). Suppose l*b + 124 = 40*b. Calculate the highest common divisor of 372 and b.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x. Let p(a) = 3*a**2 - 3. Let w be p(2). Suppose -w*n = -13*n + 152. Let m(r) = 21*r - n*r + 18*r. Give m(s(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s - 5 = 0, -4*s - 15 = g. Let x(a) = -17*a**2 + 11*a - 2. Let b = 736 - 360. Let l(c) = 5*c**2 - 4*c - b + c**2 + 377. What is g*l(t) - 4*x(t)?\nAnswer: 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 79 = -1121 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minus -57263?\nAnswer: 57858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-39) + 35\/75)\/(-6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-7 - -2))\/((-3)\/54) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Let x(s) = -s - 15*s + 15*s. What is 2*a(i) + 3*x(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.34 - 0.04. Let y = -41.8 - -16.8. What is the closest to 3 in 3\/4, v, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(99) + sqrt(99) + (-4 + sqrt(99) + 1 - sqrt(99)))*6 + (1 + sqrt(99)*-4)*-4 + -2)**2.\nAnswer: -4872*sqrt(11) + 78457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*k - 69*k + 10*k = 11320 - 1840 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -a9961?\nAnswer: a995a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 - 18*l + 3. Let y be i(-9). Let p = 0 + 0. Let q(w) = w**3 - 5*w**2 - 6*w - 5. Let g be q(6). What is the nearest to 0 in p, g, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62398737287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -48*n - 20. Calculate h(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, o: 1, t: 4, f: 1}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(2 - 6\/4). Let u = 18 + -18.5. Which is the second biggest value? (a) 2\/11 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f**2 + 5*f + 10. Suppose -17*g + 20*g - 45 = 0. Let b be n(g). Suppose 13*j - b = 9*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 24. Suppose 4*x - 2*g - l*g - 140 = 0, 4*g = 2*x - 70. What is the greatest common divisor of x and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1951*q - 204. Let b be m(-9). Suppose 24*j = 37*j - b. List the prime factors of j.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 8*n**2 - 9. Determine t(9).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -238*x + 12. Let v(k) = 2*k - 2. Give u(r) + 8*v(r).\nAnswer: -222*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let j(f) = 16*f**2 - 6063. Give j(z(u)).\nAnswer: 64*u**2 - 6063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + -48 + 56.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - g**2 + 6*g**2 + 7*g**2 + 8*g**3. Let r(x) = x**3 + 8*x**2 - 4*x**2 + x**2 + 4*x**3 + 5*x - 2*x**3. Calculate 12*r(b) - 5*s(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 16556*p + 545259.\nAnswer: (p - 16523)*(p - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 69*z**2 - 92*z**2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63089 + 63075 + 63076 + 63076 - 252316 + 15*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69228 is divided by 3906?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672653656.\nAnswer: 2, 3, 4421, 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by (47 - 0) + 4 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(243) - sqrt(243))*6 + -3)**2.\nAnswer: -324*sqrt(3) + 8757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6701 + -3.3299. What is the closest to -1\/8 in k, -2\/3, 16, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/9)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z = -92*z - 30. Let b be (-165)\/(-220) + z\/4. Let t = -0.2 + 1.2. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 109. Let y(p) = 66*p. What is z(y(r))?\nAnswer: 198*r + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13.4, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 1083, 1585, 2059, 2505, 2923, 3313?\nAnswer: 3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (0 - 0) - (-5)\/(-5). Solve 4*y - 16 = 0, v = -3*s + y - 0*y + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -217, -438, -659, -880?\n\"Answer: -221*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 23\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*w - 50, 6*w - 30 = 3*w - 3*l. Let z be ((-1 - -4)\/((-9)\/405))\/(-1). What is the greatest common divisor of w and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-15)*141\/(-4). Let a be 0\/(1 - -2) + k. Does 5 divide (-3)\/(-18) - a\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222462 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -76 times -0.1\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248729 and 229437?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11281905 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v + 26*v - 89*v + 35*v. Let l(o) = 9*o**3 + 45*o. Calculate 4*l(f) - 180*r(f).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 4*a + 3384, 5*o + a = 3396. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44398835 and -0.11.\nAnswer: -44398835.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -52. Suppose 5*u = -4*k + 27, o*u - 9 = -k + 3. Suppose -4*f = 2*a - f - 601, 1471 = 5*a - u*f. Calculate the greatest common divisor of 37 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37944*q + 55 + 35957*q - 55.\nAnswer: 73901*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g**(1\/4))\/((g*g\/(((g\/(g\/(g*g**(-1\/2))))\/g)\/g))\/(g**(-6\/5)*g)) assuming g is positive.\nAnswer: g**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15786 = 624*v - 630*v. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29876 greater than -7600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*u - 2200002 = 0, -6*u + 7*u + 1 = 0. What is h rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*5 - sqrt(1000)*-2)\/((sqrt(50) - sqrt(3200)*1)\/(sqrt(1000) + sqrt(1000)*1 + sqrt(1000) + sqrt(1000))).\nAnswer: -200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702*r - 697*r - 315 = 0. Let i = 120 - 81. What is the remainder when r is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 s when three letters picked without replacement from dxgqgkdxdsgsddqkd?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/120 - z**5\/15 - z**4\/6 - z**3\/3 + 2*z**2. Suppose 8 - 2 = -3*s. Give y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 147 - 26 = i, 0 = -5*i - 5. Let h(p) = -p**2 + 10*p + 7. Calculate the remainder when r is divided by h(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let m = -4.57 + -1.33. Let l = -6 - m. What is the smallest value in l, 1, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12228811 rounded to four dps?\nAnswer: -0.1223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -139 + t - 5*t + 146. Let a(w) = 4*w - 8. Let o(l) = 3*a(l) + 4*j(l). Determine o(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + -4 + -12 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.74 and 700914.\nAnswer: 518676.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 + 2. Let j(i) = 5*i**2 - i - 3. Let b be j(-2). Suppose -2*h + h = 22. Let w = b + h. Give p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 22. Suppose -3*x - 52 = -r*y, 16 = -0*y + 3*y + 2*x. Suppose h - 40 = 5*z, -7*z + 3*z + 40 = h. Calculate the highest common divisor of h and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*u + 228 = 0, 4*o - 896 = -0*o - 4*u. Let k = o - 220. Let k + 1\/5*s**2 - 1\/5*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.49 - 0.09. Sort -2\/13, u, -1.\nAnswer: -1, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -394 - -414. Suppose 0 = -37*y + o*y + 1989. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 - -163. Which is the closest to -1\/7? (a) 1\/3 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.2 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b**4 + 12616*b**3\/3 + 345666*b**2 + 159832*b - 137480\/3 = 0. Calculate b.\nAnswer: -70, -2\/3, 1\/5, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:22 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -487700019 * -0.1\nAnswer: 48770001.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2156 and 217448.\nAnswer: 1522136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 68184397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let i(c) = 2*c. Suppose -2*s - 3*r + 16 = 0, 0*s = -2*s + r. Determine s*x(d) - 2*i(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 49*t + 63. Let n be (-1152)\/(-54)*243\/(-108). Give m(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqwl when four letters picked without replacement from {l: 1, q: 1, k: 1, f: 1, w: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 309*d + 7. Let n(r) = 85*r. What is i(n(q))?\nAnswer: 26265*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 160 = -144. Solve -25 = -s*o - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3651*a - 29860 = 3647*a + 388904. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626346 (base 8) to base 4.\nAnswer: 302303212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/93120720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + (2 - -2). Suppose 3*j - 15 = -0. Let f(s) = -4*s + 9. Let y(u) = 3*u - 8. Let p(l) = j*f(l) + 6*y(l). Determine p(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w - 137*w - 4 = -4*n, 3*n - 24 = 6*w. Let u be 14\/(-4)*-1*2. Let k be 19\/(-42) - (-2)\/u. What is the biggest value in k, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14*x. Let p(a) = -2 - a - 4 + 6. What is z(p(k))?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 i when four letters picked without replacement from ibbbbbiibibbbibb.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = -3*h + 14, -2*h - 9 = -3*z. Suppose 7*n - 9*n = -3*l + 8, h*n - 18 = -3*l. Determine k, given that 1\/5 - 1\/5*k**n + 0*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2536, -5329, -8118, -10903, -13684, -16461, -19234?\n\"Answer: 2*b**2 - 2799*b + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(-3 + sqrt(80))*6)**2.\nAnswer: -12864*sqrt(5) + 50569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14118, 14110, 14098, 14082, 14062?\n\"Answer: -2*d**2 - 2*d + 14122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -51796345968.7?\nAnswer: -51796345969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21487, 172084, 580857, 1376896, 2689291?\nAnswer: 4647132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let w(i) be the third derivative of i**4\/4 + 2*i**3\/3 - 7*i**2. Let x(r) = 4*k(r) - w(r). Let h(t) = 6*t**2 + 46 - 46. Determine h(x(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by (-3)\/57*2 - (-9550)\/475?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5781 minus -5.18?\nAnswer: 5786.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31045 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 405?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 11, n: 1}. What is prob of picking 1 m and 1 j?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-3) + 44\/66. Let o(n) = -n - 19. Let k = -35 - -20. Let i be o(k). Sort l, 14, i in ascending order.\nAnswer: i, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*-10*(-27)\/18. Suppose 0 = -3*f + y*c + 35, -5*c + 3*c + 17 = 5*f. Solve f*i = i - r - 24, -4*r = 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/17 and (-3)\/(-153)*((-176)\/12 - 1).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 4*y)*(6117*y - 1073*y - 3137*y**2 - 2 + 3141*y**2) as h + i*y**3 + v*y**2 + x*y and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 + -366. Solve -20*r = -n*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 14*z - 11. Let m be j(13). Suppose -i = -m*s - 0*s + 3, 4*s - 9 = -i. Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 7 = -q + 4*w, -3*q + 3 = -3*w. Let t = q - -16. Suppose o - 93 = -t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*v**2 + 3 - 9*v**2 + 37*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c - 628*c**2 - 632*c**2 - 588*c**2 - 624*c**2 - 627*c**2 + 3102*c**2.\nAnswer: 3*c**2 + 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2281?\nAnswer: 3\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose -3*h - 48 + 12 = n*i, 3*h + 35 = -2*i. Let p(j) = -j - 1. Let z be p(h). Solve w - z = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -y - y - 29, 5*g = 5*y + 35. Suppose -3*u + 16 = u. Let m = -2.9 - 0.1. Which is the third biggest value? (a) y (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 53566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1)\/(3\/(-1)). List the prime factors of 1 - 26\/(-2 - s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1059 (b) 0.3 (c) 9597 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-280)\/364*26\/(-4). Solve -3*x = -6, -n - 7 = -p*x + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y - 4. Let g(z) = -48*z - 7. Let q(a) = -107*a - 16. Let u(p) = -11*g(p) + 6*q(p). What is 19*c(k) - 4*u(k)?\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 23 = k, 4*l - 5*k + 0 = 29. Suppose -335 = -3*z - 5*b, -l*b = z - 2*b - 121. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 + 1 - 2*j. Let p = 27 + -15. Suppose 4*c - 7 = m, -m + p = -3*c - 6*m. Calculate b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -712 or -714?\nAnswer: -712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65290.25 hours in minutes?\nAnswer: 3917415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -15*i - 9*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 206611741 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403532 divided by 5998?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223238 is divided by 396.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161\/5, 0, -2\/7, 0.5 in decreasing order.\nAnswer: 161\/5, 0.5, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:06 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -474 + 496. Suppose 184*w = 173*w + d. Solve -4\/3 - 77\/3*v**w + 49\/3*v**3 + 32\/3*v = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -221010022?\nAnswer: -221010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1688*-0.04\nAnswer: 67.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/5 (b) 0.3 (c) 37 (d) 3 (e) -1\/89 (f) 70.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6479 - -6515. Solve 1202*a - o = 1208*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 19. Let k be ((-10)\/4)\/((-1)\/2). Which is the second biggest value? (a) k (b) w (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000 + -11000101001?\nAnswer: -10011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 3*n + 5*n)*(398 - 1376*n - 1346*n + 2720*n) + 2*n**2 + 0*n**2 - n**2 to the form o + b*n + t*n**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 0.2 (b) -1\/2 (c) -3 (d) -3\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*m - 20 = m, 12*m = -5*w - 8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w + 18. Determine s(-14).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -313887*m**2 + 15406*m - 6 wrt m?\nAnswer: -627774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165 is divided by 83?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 7*k - 7. Let h be y(6). Let r = 1 - 1. Let z = h + r. Is 2\/5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 6*j + 48. Let p(b) = 5*b**2 + 5*b - 51. What is -4*o(a) - 3*p(a)?\nAnswer: a**2 + 9*a - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -22. Let r = -4 - -2. Let z = r + s. Which is the closest to z? (a) 2 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9754799?\nAnswer: 193, 50543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -629*c + 633*c, -3*y + 68 = c + 66 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -476 + 1008. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 15. Let q be x(18). Solve m = 5*j - 3 - 0, -5*m - 15 = q*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*y + 34 = -3*k + 6*k + 277*y + 276*y, 5*k + 120 = 11*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24619 = 24618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 152*b**2 + 1376*b - 3328.\nAnswer: 4*(b - 26)*(b - 8)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 22*i - 8. Let v be h(6). Suppose -25 = -5*p, 0 = -3*u + 4*p - 328 + 89. Let m = v + u. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = -3. Let v = 2 + m. Let l be (-1)\/((2\/10)\/(18\/(-30))). Solve z = -4*a, -v*z + l*a = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 37 - 79 - (1 - (20 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -21*x + 5*x. Let b(t) = 3*t + 25. What is the remainder when 99 is divided by b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8618 - 3713 = -649*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84028 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 18*r + 7. Let i be u(17). Let t(q) = -q**3 - 9*q**2 - 8*q - 5. Let l be t(i). Let d = l - 96. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.5 - -24. Put 0.4, k, -0.3 in descending order.\nAnswer: k, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)*c**(3\/7)*c\/(c\/((c\/(c\/((c\/c**(-2\/9)*c)\/c*c))*c*c)\/c*c))*c*c*(c**(-26\/3)*c*c)\/c*c assuming c is positive.\nAnswer: c**(-694\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7897126 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -79, 43.\nAnswer: -79, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.664821ml to litres.\nAnswer: 0.008664821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144*f**2 + 108862*f\/9 + 56\/3.\nAnswer: -2*(f - 84)*(648*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63568? (a) 0.2 (b) 2 (c) -0.4 (d) -10 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 188. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256005729.\nAnswer: 3, 7, 4063583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 118. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 51528?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = 11*d - 90 - 638. What is the remainder when 152 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -27.925.\nAnswer: 83.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000009 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 11*p - 18. Let k be u(-9). Let x = 7 - k. Suppose 3798 = 25*z - x*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 23*c**2 - 118*c + 11. What is h(15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 9, m: 2, d: 1}. Give prob of picking 2 z.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55326 + 8856783.\nAnswer: 8912109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -23, -78, -187, -368, -639?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 plus -219850186605?\nAnswer: -219850187655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 7*c**2 - 169 + 347 + c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3500))\/(sqrt(35)\/sqrt(112)) + 1.\nAnswer: 1 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2*w**3\/15 - 1248*w**2\/5 + 2494*w\/5 - 3034. Factor n(q).\nAnswer: 2*(q - 1247)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*v**3 + 167188*v**2 - 33294240*v?\nAnswer: -120*v + 334376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, q: 2, d: 13}. Give prob of sequence uq.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-5)\/80)\/((-2)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**7\/105 - t**6\/30 - t**5\/30 - t**2\/2 - t. Let w(o) be the first derivative of y(o). Determine g, given that w(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -52*c**3 + 3*c**2 + 7*c + 2. Let u be f(-6). What is u rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(20\/14)\/(48\/84)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1429.2 rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 131. Let f(s) = -10*s + 525. Give -2*f(d) - 9*l(d).\nAnswer: 2*d + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 164 + 124. Suppose -n + s + 9 = 34, n = -5*s + 5. Let w = n - u. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3 - 123882*b**2 + 324*b - 416668107.\nAnswer: -6*b**2 - 247764*b + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:53 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/9 + 19*p**3\/9 + 134*p**2\/3 + 212*p + 264.\nAnswer: -(p - 33)*(p + 2)*(p + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40299 and 23028?\nAnswer: 161196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -5 (b) 3\/4 (c) -4\/1943\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 12490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -42*g + 73 + 91 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 1367316790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/186340 and -131\/16940.\nAnswer: 186340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9*-6*(159 - 129)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 148 = 43 + 6 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from bisbxqsxe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58230 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -32. Let v = n - 44. Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -928 - -1332. Suppose 3*q - 2*u + 302 = 6*q, 0 = -4*q - 4*u + g. Let n be ((-376)\/(-10))\/((-8)\/q). What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*u**6*z + 14688*u**3*z**2 + 7*u**2 - 9*u*z**2 + 2*z**2 - 2*z + 4204 wrt u.\nAnswer: 15120*u**3*z + 88128*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-9))\/3*1. Which is greater: i or 3\/1189?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.308631715803?\nAnswer: -0.308631715803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -585 times -74315?\nAnswer: 43474275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 458359.\nAnswer: 45835.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 12:11 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/18*1*-39. Suppose -2*v - 33 = -y*v. Solve -u - 2*n - v = 0, -4*u - n = -4*n + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4786143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**3 + 2. Let f(v) = 1. Suppose 3*a - 4*k - 10 = 0, -8*a = -5*a - 5*k - 11. Determine a*f(m) - d(m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f - 17*f = -162 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s + 2. Let p be c(-4). Let l = -19 - p. Let n = 79 + l. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(2\/(-6)). Suppose 5*f = -0 - 5. Is a - (2 - (-2)\/f) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a, 4*b - 6*b + 3*a = -16. What is the lowest common multiple of 5 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (79 - -3) - (60 - 84)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 72. Suppose a - 24 = 5*t, -5*t + 0*a + 2*a = m. Let x(g) = 2*g**2 + 4*g - 2. Let q be x(t). Solve -q = 4*l + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 4. What is q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -0.2 (c) -610 (d) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/45 - (-1054)\/(-10). Let b = -100 - m. Is 2 - -2733 - ((-3)\/3 + b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -0.2, -1\/3, 3\/4 in descending order.\nAnswer: 3\/4, 0.11, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 4*y**2 + 6*y - 6. Let d be v(-8). Let t = -98 + d. Let i be 1\/(-5) + t\/20. Solve -i = 2*c + 3*b + 2, 4*c = -5*b - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 21*i + 12*i - 1974. Calculate the remainder when 626 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272219.49 minutes in days?\nAnswer: 189.0413125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8 - 27. What is the second biggest value in 3\/2, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*d - 36, -4*t - 2*d - 104 - 26 = 0. Let z = -18 - t. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 16450 = 24266. List the prime factors of w.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 4*h + 3. Let q(m) = 7*m**2 - 5*m + 4. Let f(d) = 6*a(d) - 5*q(d). Let i be (120\/(-160))\/(3\/8). Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 2*r + 2*r)*((-r - 2*r + 4*r)*(-2 + 2 - 1) - 3*r + 0 - 1 + 0) to a*r + f*r**2 + p and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44839 = -1384*d + 551 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.320008 - 0.32. What is f rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*m - 555*m + 100 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34742565 (base 8) in base 3?\nAnswer: -112021110200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-20)*20\/(-6). Let h be -3*q\/3 + -3. What is the greatest common divisor of 20 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 3. Let t(g) = 4*g + 8. Let f(l) = -8*h(l) + 3*t(l). Let p be f(1). Let n(b) = b - b**2 - b + 3*b. What is n(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*m - 4*k + 15, 4*k = 12. Let h be (m\/9)\/((-20)\/36). Factor -5\/4*g**2 + 3\/2*g + 0 - 1\/4*g**h.\nAnswer: -g*(g - 1)*(g + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146 + -4 + 3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 4*j - 4. Let s(l) = -4*l**2 + 8*l - 9. Calculate -13*m(n) + 6*s(n).\nAnswer: 2*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416284 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 - 4*v + 5. Give i(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 56*o + 95. Let x(g) = 3*g - 2. Let f(t) = q(t) - x(t). Find the first derivative of f(c) wrt c.\nAnswer: 8*c + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 772460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 9670 + 9670 + 9674 - 29014.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.5 + 113.5. Let w = i - 96. Let h = 46 - 412\/9. What is the closest to 6 in h, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 1596335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5 - 36*r**4\/5 + 3*r**3\/5 + 36*r**2\/5 + 12*r\/5 = 0 for r.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13440 is divided by 313?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1 - 1 + 7*u + 2. Let l(p) = p**2 + 5*p - 5. Let v(g) = g**2 + 4*g - 4. Let m(o) = 4*l(o) - 5*v(o). Give m(f(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 25*r - 2*k + 2124, 0 = -k - 6. Calculate the greatest common divisor of 1602 and r.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 + 40 = 0. Suppose -p = 4*v - 8*v. Solve 5*j + v*x - 19 = 0, j - 2 = 5*x - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -33 - 111. Is -2*(-997)\/4 - m\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142281 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (137\/45 - 3)*65\/(-39)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*i**(3\/28))*i)*i))\/i*i*i)**(-49) assuming i is positive.\nAnswer: i**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 2059.\nAnswer: 100\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 45 - 45. Let f(p) = -13*p - 13*p**2 + 22*p - 9*p. Calculate k(f(y)).\nAnswer: -507*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -83, -217, -403, -635, -907?\n\"Answer: h**3 - 35*h**2 + 22*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -18, -57, -118, -207, -330?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {u: 8, p: 2, d: 1, x: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r + 1. Let u be p(3). Let b = 14 + u. Solve 5*n + b = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-14)*(-5 + 7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9188 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 4 = -5*y. Suppose -5*u = 3*q - 2*q - 118, -4*u + y = 0. Suppose 5*c - 20 = -0*c, 0 = -2*n + 5*c + q. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29223 is divided by 206?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1212 + -3221403?\nAnswer: -3223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, d: 1}. Give prob of sequence kd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6*16\/6. Suppose 0*f = -2*f - 8. Is f at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - (10 - (-3 + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1)*0)\/((-10)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 22. Let k = -9 + o. Let n be (1 - 1)\/(k + 0). Solve -c + n - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007919245842 to 7 decimal places.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.2 + -3.2. Let g = 35895.102684 - 35985.103. Let z = g + t. What is z rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - -7) + 15 - 34\/5. Factor -6\/5 - 1\/5*w + f*w**2.\nAnswer: (w - 3)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = 44*b + 40 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 8*r**2. Let x(i) = 2*i**3 + 7*i**2 + i. Give 3*d(c) + 4*x(c).\nAnswer: 2*c**3 + 4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (115 - -57)\/43*-5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = 9*n + 50706. List the prime factors of n.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 117*x + 1147. Is a(-5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -3, 4, 0.021?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 2, j: 2, a: 5, y: 7}. What is prob of picking 1 a, 1 u, and 2 m?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.1 plus 0.005?\nAnswer: 20.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-21) - 38\/(-7). What is the second derivative of 11*y**5 + 0*y**j - 4*y**5 - 2*y - 5*y wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7dc - -9d?\nAnswer: -73f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-111)\/(-2). What is the remainder when -1 + (-1 + a - 0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1815 and 2475?\nAnswer: 27225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400378 is divided by 396.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6989 - 6989 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 6) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 14}. What is prob of picking 3 p?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 divided by 7?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let c(u) be the second derivative of -9*u**4\/4 + 3*u. Determine p(c(h)).\nAnswer: -1458*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -319443064 and 2.\nAnswer: -638886128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1070 and 9857750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 = 3*l - 530. Let v = l - 8341\/11. Let p = -4079\/11 + 372. Calculate the common denominator of v and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = 8. Let a be 1\/c*(-3 + -3). Calculate the greatest common factor of 3 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 10*w**2 + 11*w - 5. Determine t(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 21*b**2 - 1534*b - 7923. Calculate y(-5).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. Let b be l(-6). Let k = b - -13. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -4 - (0 - 0). Suppose o*r + 5 = -j, j + 5*r = -3*j + 15. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1. Let b be (-7 + 4)\/((-3)\/4). Let u(z) = -2*z - 20. Let t(m) = b*o(m) + 2*u(m). Let l be t(-12). Solve 3*j = l*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-10) + 16\/40. Let g(t) = t**2 - 17*t + 62. Let s be g(i). Let q(v) = v**2 + 2*v - 3. Calculate q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -1) + -6 + 86*3 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(684)*1 - sqrt(684))**2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**3 - 17*t**3 + 4*t**2 + 0*t**2. Let v(u) = u**3 + 2*u**2 - u. Let p be v(1). Suppose 0 = 3*x + d - 3*d - p, 3*x - 4*d + 8 = 0. Determine o(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-729))\/(1\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17*a**2 + 99*a + 28. Let z(v) = 13*v**2 - 74*v - 21. Calculate 10*y(o) + 13*z(o).\nAnswer: -o**2 + 28*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*o + 427*o + 309*o = 0. Let 3\/4*z**3 - 6*z**2 - 27\/4*z + o = 0. Calculate z.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(3 - 6 + 2)*(-4 + 3 + 0)*(-4262 - 109*j + 4262).\nAnswer: 109*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-34))\/((-39)\/(-52)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6059 is divided by 3022?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*m = 1361*m - 2730*m - 6*d + 14, 2*d - 25 = -8*m + 53 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - a**2 - a - 1. Let m be s(-1). Let i = 64\/17 - -1453\/34. Let r = 289\/6 - i. Are r and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 168 = -5*x - 18, x - 401 + 375 = y for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13987 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 - (-5)\/2. Let t be 1\/j*(-2 + 12). Suppose -6*x + 9 = -9*x. Sort t, -5, x.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 134*c**3 - 11*c**2 - 11*c - 6. Let q(w) = 45*w**3 - 4*w**2 - 4*w - 2. Let n = -19121 + 19117. Give n*g(h) + 11*q(h).\nAnswer: -41*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1108*h**2 + 9958*h + 51. Calculate z(9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 260 (c) -14 (d) -2 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/22, 0.053, 2, -5\/3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 7692.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1142*z + 0*z**2 + 2432 - 465*z - 116*z - 2*z**2 with respect to z.\nAnswer: -4*z + 561","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 16. Suppose 4*s + 4*w + q = -0*s, 4*s = -w + 1. Suppose s = b - 11. Solve 3*u = -0*u - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412140 (base 10) in base 15?\nAnswer: -1cd62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**11)**(2\/23) assuming g is positive.\nAnswer: g**(24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2367470, 4734891, 7102310, 9469727, 11837142, 14204555, 16571966?\n\"Answer: -c**2 + 2367424*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)*6\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16632\/(-196))\/(-33) - ((-20)\/14 + 2). Let l(d) be the third derivative of 4*d**3 + 0*d + 31*d**w - 5\/6*d**4 + 0 + 1\/15*d**5. Factor l(p).\nAnswer: 4*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + -2*(sqrt(78)*-2 + sqrt(78))))\/(-2*sqrt(486)))**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8352\/(-396)*165\/(-60)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + 2*p - 3. Let j be w(3). Let y(c) = 2*c**3 - 11*c**2 + 11*c + 8. Let z be y(4). Solve -4*g + u - 4*u = 6, z*g - j*u = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -6*o**5\/7 - 3106*o**4\/7 + 16802*o**3\/7 + 34546*o**2\/7 + 2092*o = 0.\nAnswer: -523, -1, -2\/3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012902?\nAnswer: 2, 17, 73, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -35. Suppose -3*y - b = -236, 0 = -5*y + v*b - 0*b + 412. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -476 - 266?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26965 = 13*l - 24*l + 187832. What are the prime factors of l?\nAnswer: 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 57131*f. Let n(u) = -5*u**2. Give z(n(b)).\nAnswer: -285655*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151749050 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1090 and 15478.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -25*s**4 - 660*s**3 - 4386*s**2 - 1676*s - 165 = 0.\nAnswer: -15, -11, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**2 - 7*n + 13*n + 2 + n**3 + 0*n. What is the units digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2301 - -2305. Solve -q*s - s - 22 = -2*n, 0 = s - n + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 2. Suppose 0 = -n + 2*g - 4*g - 4, -4*n = 3*g + 11. Let m be h(n). What are the prime factors of (-2 - (m - -2))*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1788?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149253?\nAnswer: 3, 13, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 1. Let l be q(-1). Let f = -22 - l. Is -18 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 18*u + 15 = -2*t - t + t, -6*t - 95 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/115)\/((170\/(-25))\/(-17))*76\/(-19)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*j = 2, y - 2 = -j - 3. Suppose y*w - 48 = -4*w. What is the common denominator of 11\/8 and 242\/w - (-2 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17950 divided by -63\nAnswer: -17950\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-5*f + f + 3*f) - 2 + 2*f + 2 + 495*f + 1 - 868*f - 804*f.\nAnswer: -1176*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -32.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/4 + 12. Let d = 272 - 817\/3. What is the third biggest value in -1\/4, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491\/(-44) + 11 - 1\/(-4)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -93*v + 1. Determine r(1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-1224)*-1722 + 14 + -38 + 25\/84.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-56)\/(-30) + 708\/(-590). What is the fourth smallest value in 15\/4, -1\/2, 3\/5, j?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 0*j**2 + j**2 - 29*j**2 + 11*j - 11*j + (j + 2*j + 0*j)*(3*j - 5*j + 3*j) as r*j**2 + t + m*j and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -25715*m**3 - 3*m**2 + 20*m + 109. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 9*z**2 - 335*z - 601. What is k(-22)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.94 - 0.06. Let u be 5*((-12)\/3 - (-364)\/90). Which is the closest to 1? (a) u (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 - 1 - (-2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = k. Let s = 16 - k. Calculate the remainder when 17 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6894 and 22528826?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124640 divided by -41.\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008311 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 274 - x**2 - 138 - 136. Let i(g) = -3*g**2 + 8*g**2 + 3*g**2. Give d(i(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*b + 52*b - 4*p - 5 = 0, p = 5*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2104.205 years?\nAnswer: 25250.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20238 is divided by 253.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 10*d + 2141 = 41. Calculate the highest common factor of 1095 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -11*b + 25 - 39. Let v(o) be the first derivative of -o**2\/2 + 2*o - 1. Let f(g) = -2. Calculate b*f(x) - 3*v(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -272, 0.4, -201, -4, -13 in decreasing order.\nAnswer: 0.4, -4, -13, -201, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 l when four letters picked without replacement from mmmzlllm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1239228 and -59\/26.\nAnswer: 16109964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 11*w + 0*w + (6 - 7 - 24)*(w + 2*w + w))*(0 + 0 - w**3) in the form k + h*w**4 + s*w + d*w**3 + g*w**2 and give h.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -293098 != -293098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:36 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2044 - -2185 - (-1 + 165)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a1 (base 12) in base 16?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593661 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose -3*s = -5*m + 55, -i*m - s + 15 = -20. Solve 3*l = -l + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 953 + (0 - -1) + -2. Suppose -367 = -3*n - z. Let t be ((-1)\/3)\/(1\/n). What is the highest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 109*m - 665. Solve -2*q + 5 = -2*u + m*u, 0 = -q - 5*u + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13270*f**2*q**2 + 527*f**2*q - 5661*f*q - 98*q**3 wrt q?\nAnswer: -26540*f**2 - 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 7.16.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -538113*u**3 - 2088*u**2 - 3*u - 11.\nAnswer: -3228678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i + 391. Calculate r(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (436\/545)\/((-4)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i - 4. Let k be c(-6). Let d(o) be the second derivative of 13 - 1\/3*o**3 - 1\/12*o**4 + 2*o**2 - 2*o. Calculate d(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190 + 5946?\nAnswer: 6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n + 3. Let y(f) = -3*f + 1. Let b(v) = -392*v + 83. Let o(t) = b(t) + 5*y(t). Give 3*o(s) - 88*w(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -449?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -15*g**3 - 2*g**2 + 2*g. Let y be d(-3). Let p = y + -737\/2. What is the common denominator of (-96)\/30 - 0 - (-4 - 0) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1669361 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**2 + 37*w + 146. Let o be v(8). Solve -o*f + 4*f + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214.83 + 6.17. Let q = t - 222.2. Put -9, q, 4 in descending order.\nAnswer: 4, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 9875*s - 20 + 45 - 9.\nAnswer: -9875*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z**3 - z + (-2*z + 2*z + 2*z)*(4*z + 3*z - 5*z)*(3*z - z - 6*z).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.7. Let k = -205357 + 821425\/4. Which is the nearest to i? (a) -12 (b) k (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 44*m + 16. Let y = -230 + 214. Let x(c) = 3*c + 1. Let z(i) = y*x(i) + a(i). Let g(t) = -51*t**2. What is z(g(s))?\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2340 - 2335. Let c(h) = -h**3 + 4*h**2 + 1. Calculate c(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 11*u = -35. Let f(a) be the first derivative of 12 + 4*a**7 - 4*a**7 + 5*a**7 - 2*a**u - 6*a**3. Find the third derivative of f(l) wrt l.\nAnswer: 2520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}