diff --git "a/data/dm_maths/full_data_1/10339_11255.jsonl" "b/data/dm_maths/full_data_1/10339_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10339_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(d) = 43*d**2 + 9*d - 9. Let c(a) be the second derivative of 7*a**4\/4 + 2*a**3\/3 - 2*a**2 - 6196*a. What is -9*c(o) + 4*s(o)?\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*g + g - 8, -3*g = -5*v - 17. Suppose l + 2*y - 7 = 4*y, -3*y + 17 = g*l. Which is the third smallest value? (a) 4 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 99\/36 - (-270)\/8. What is the highest common factor of 255 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:40 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00648522 rounded to six decimal places?\nAnswer: -0.006485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l. Let v(n) = 207 - 417 + 210 + 2*n. Calculate j(v(t)).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 2. Let q(v) = -4*v + 3. Suppose 0 = -2*t - 3*t + 10. Let l = 10 + -17. Let o = 4 + l. Determine o*n(w) + t*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/21)\/(12\/42). Let k(s) = s - 1. Let r(z) = z - 2. Let f(m) = 3*k(m) - r(m). Determine f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*s**2 + 19102*s + 57540.\nAnswer: -2*(s + 3)*(13*s - 9590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 102020202 (base 3) to base 16\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 9*k - 56. Let g be f(-13). What are the prime factors of 1 + (g\/(-5))\/(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*a + 184*a - 565*a + 185*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 18. Let w(h) = h + 22. What is the tens digit of w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 5 (c) 0.4 (d) -1\/5 (e) -1\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 672 in -3\/4, 0.2, 0, -4, -69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 13. Let t be 1 + d - (0 + 1). Is -2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.3794 rounded to 1 dp?\nAnswer: -33.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 42572 - 47097 + 409742.\nAnswer: 2*q + 405217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o + 0*o + 3*o + 9*o - 31*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 10 + -8 + (1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 6. Let a = 3 + l. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2055 (b) -2\/7 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 12\/(-10))\/((-4)\/(-50)). Let m be (c - -12)*(-1)\/(-1). Let k be (m\/(-6))\/(22\/(-12)). Put k, 3, -1\/8, -9 in increasing order.\nAnswer: -9, -1\/8, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjz when three letters picked without replacement from {z: 1, t: 3, i: 1, j: 1, p: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 7*r - 5. Let i be v(5). Suppose -i*z = 4*d - 15, 3*d - 19 = -2*z - 6. Suppose 2*s - s - 29 = 5*g, 5*g = -5*s - d. Solve s = h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbgxw. What is prob of picking 1 x and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-78)\/14 + (-183)\/427 - -2683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/252 and -137\/70.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/3 + 29*m**2\/2 - 38*m + 1253. What is n(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q + 8*q. What is the common denominator of -19\/6 and q + (-5)\/4 - (-79)\/60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8*w - 29*w - 756 = 0. Put 5, 0, w, -3 in ascending order.\nAnswer: w, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 772?\nAnswer: -154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmcsmssmqcqqmq. Give prob of sequence scs.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7 - 16 + 7*n + 15.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200 + 1926 = 100*c - 1874 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0.04, 0.2.\nAnswer: 0.04, 0.2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -7*z - 30. Let r(b) = -b**3 + 6*b**2 - 3*b + 8. Determine r(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657 divided by 22408?\nAnswer: -1657\/22408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/23 - 341718*i**2\/23 + 14594861088*i\/23 + 131381430408\/23 = 0.\nAnswer: -9, 85434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -708, 3\/256, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4*x. Let w be g(-2). Let f(k) = -2*k**3 + 8*k - 2*k**3 - 3*k - w*k**3 + 5. Let c(a) = -33*a**3 + 21*a + 21. What is 5*c(n) - 21*f(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 459213?\nAnswer: 1\/153071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let s = 0 + v. Sort s, 0, -0.5 in increasing order.\nAnswer: -0.5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 852786 - 129222. Suppose -f = 26*s + 411856. Round s to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/17 + 24*d**2\/17 + 18*d + 280\/17.\nAnswer: -2*(d - 20)*(d + 1)*(d + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j. Let p(w) = -16*w**2 + 3*w. Determine p(i(l)).\nAnswer: -1296*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132))\/sqrt(12))**2 + -2 + sqrt(44)\/sqrt(4) + sqrt(11) + -4.\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481 - -497. Let i(r) = -r + 21. Let d be i(g). Solve 2*j - 3*t = 3, 4*t = d*j + 2 + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (((-15 - 8) + 1 - -5) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 171 = 47 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, z: 2}. What is prob of sequence jjjj?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 7*v + 5. Let m be g(6). What is the third smallest value in -5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Determine m(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 109 + (-2)\/2 + 0. Let i be (15846\/(-171) - -106)*(-12)\/(-10)*3. What is the greatest common divisor of i and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16cb1 (base 16) in base 7?\nAnswer: -536122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 573*a + 13081. Calculate q(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 7784*z + 38930.\nAnswer: -2*(z - 5)*(z + 19465)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsnsqnesssnsnnsre. Give prob of picking 2 n.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2. Let d(x) = -5*x + 9. Suppose -3*v - 15 = 12. Let k(o) = -2*o + 4. Let b(c) = v*k(c) + 4*d(c). What is w(b(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 + 5802397.\nAnswer: 5802127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -10) + -3 - 3) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {j: 1, o: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 579841409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 at most as big as 2342\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.434 times 27?\nAnswer: -659.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*i + 63*i**3 + 5*i + 0*i + 19*i + (-1 - 2 + 6)*(15*i**3 - 4*i**3 + 6*i**3).\nAnswer: 114*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987961320 a multiple of 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h + 2*h. Suppose s = -h - 2. Let m = 5 - 7. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**2 + 12*t - 9. Let j(i) = -10*i**2 + 10*i - 11. Calculate 5*c(h) - 6*j(h).\nAnswer: 10*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-20)\/(-15))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96 + 7 + -60 + -1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:58 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2)\/((-2)\/(-11)). What is the greatest common divisor of 88 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/(1\/3). Suppose -3*j + 8 = j. Let d = j - 2. Solve -3*u + v*u + 2 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from tptvjptpvrttdtvtjdtt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 116 + 32 = r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 - 2 - (-2 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -17*g - 78 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1063\/55 + 228\/11. Determine h so that x*h**4 + 0 + 0*h - h**3 - 2\/5*h**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*d + 9, 2*v + 3*d - 10 = 13. Suppose 4*g = n - 43, 0 = -n - 3*n + v*g + 124. 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: Solve 66*f + 40*f + 19314 - 4963 = -7*f for f.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + p + 981. List the prime factors of p.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 216229 + 11558949.\nAnswer: 11775178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 3. Let u be s(2). Let g = 5 - u. Suppose -5*p = t - 54, 3*p + g*t - 16 = 13. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = u + 3, 5*u = 2909*f - 2904*f + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 2*p + 504. Let b be (0 - (-16)\/p) + (-19)\/(-7). Solve -19 = b*n - 5*g, -25 = -3*n - 5*g + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**5\/120 + 5*a**4\/6 - 26*a**3\/3 - 44. Let f(t) be the third derivative of j(t). Let c be -3 + (1 - (1 + -3)). What is f(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = -12*k - 0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 1839\/127?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2467, 5.\nAnswer: -2467, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 8*z**2 - 2*z + 5. What is x(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 2151*d**2 + 12*d + 1141*d**2 + 1006*d**2 - 22*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 15. What is the second derivative of f**x - 6 + 6 - 2*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/2? (a) 1.4 (b) 1\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-32)*84*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*a + 5 = 0, -19 = 2*h + 5*a - 0*a. Put 1, h, 26 in decreasing order.\nAnswer: 26, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*i - 1653, -3*n = i + 3*i - 1645. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 141. What are the prime factors of 71*((-10)\/(-8))\/((-8)\/v)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (716\/(-180) + 4)*23 + (-24)\/(-40)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 126 = -14. Suppose -2*r + 4*i + 53 + 1 = 0, -i = -r + u. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/45 - 319\/99.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-6\/7)\/w**(-3\/4))\/(w**(1\/4)\/w)**(-41))**(1\/22))**(1\/58) assuming w is positive.\nAnswer: w**(-54\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j = 451 - 654 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19724869 is divided by 1678.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.95 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**9)*(x*x**(-5)\/x)\/x*(x\/x**5*x*x*x)\/x*x**(1\/19))**(3\/11) assuming x is positive.\nAnswer: x**(60\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (115 - 115)\/(-6 + -1). Is q smaller than 2\/15091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 + 318*i**3 + 5814*i**2 + 35810*i + 70056 = 0.\nAnswer: -139, -9, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-36) + (-22)\/(-12). Find the first derivative of 2*b**3 - 2 - 6*b**2 - z*b**2 + 8*b**2 wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (30 + (-75 - -40))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + 0*q**2 - 176*q + q**3 + 169*q - 3. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Let m(x) = x**2 + 7. Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010101111011000 (base 2) to base 8.\nAnswer: -525730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -807 + 1cee1?\nAnswer: 1c6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/530? (a) -3 (b) 2 (c) -0.1 (d) -0.5 (e) 1\/6 (f) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 212 = -4*r, 2*r + 5*w - 10*w - 130 = 0. What is the smallest common multiple of r and 2055?\nAnswer: 22605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1118 (b) 4\/7 (c) 3 (d) -1\/7 (e) 1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11389*b*p + 2099*b wrt p?\nAnswer: -11389*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6044 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3 - (-2090)\/(-475) - -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5116*x - 2*x**2 - 5116*x + 5*x**3 + 2*x**2 - 2*x**2 + x**3 + (3*x**3 - x**3 + 0*x**3)*(-1 - 1 + 3).\nAnswer: 8*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*l = -115, 4*u - 95 - 70 = -5*l. Let n = u + -32. Suppose 4*m + 14 = 3*v, -3*v + 5*v + n*m - 32 = 0. Solve -5 = 3*h + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 2. Suppose -14 = -h + a. Suppose -5*i + 45 - h = 0. Solve 25 = -p + i*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 4*n**2 + 5*n - 4. Let a be b(2). Is 11 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180944689.\nAnswer: 37, 47, 67, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1590137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.175 in -0.1, 273, -3, -4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.88 and 1118?\nAnswer: 36759.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 5*t**2 - 3. Let z(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 2*g + 2. Let i(x) = 2*k(x) + 3*z(x). Let v = -2 + -1. What is i(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 + 80*h**2 + 190*h - 16. What is c(-24)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 - 1. What is s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.01 (c) 0.5 (d) -8 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12*1 - (11644\/205 - 45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(114)\/sqrt(3))\/sqrt(2) + sqrt(190)\/(2*sqrt(10)) - (sqrt(684)*-2 + 4 + (2*sqrt(684)*5 - sqrt(684)))**2).\nAnswer: -33529 - 669*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(1 + (-10 - 6) + 25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (-23 - (-10 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**4 + s**4 + 6*s + 9*s**3 - 14*s**4 + 3*s**3 to the form o + z*s**3 + n*s**2 + h*s + r*s**4 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 367278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (7 - (0 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*y + 51 = 0, 2*i + 4*y = -y + 20. Suppose -u = -12 - i. Let o be ((-2)\/(-3))\/((-2)\/(-54)). Calculate the highest common divisor of u and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2976503 equal to -2976504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 2\/7, 0.2, -0.3 in decreasing order.\nAnswer: 2\/7, 0.2, 0, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -19*v**3 - 5*v**2 - 4*v + 7. Let x(q) = 13*q**3 + 3*q**2 + 3*q - 5. Let y(b) = 5*w(b) + 7*x(b). Let p be y(-2). Solve 4*k + 26 = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6, 1 = -4*a + 9*r - 4*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -86949?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393203, -393082, -392865, -392552, -392143, -391638, -391037?\nAnswer: -390340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 7*g - 12. Let u be 58*(g - 2\/4). Suppose -2*s + u + 155 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Which is the third biggest value? (a) 4 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/(-4))\/((-1)\/(-4)). Let w(g) = g**3 + 22*g**2 + 35*g + 47. Let p be w(-20). What is the greatest common divisor of p and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -554 - -553.6. Sort -90, -0.3, o, 5 in ascending order.\nAnswer: -90, o, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + -1*sqrt(68) - sqrt(68) - sqrt(68)) + sqrt(68))**2.\nAnswer: -891 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = v - 6 - 4, 4*v = 4*g + 24. Let q = 1 + v. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0083 * -52.\nAnswer: 0.4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -i - 45. Is 37\/10 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386078655.\nAnswer: 5, 13, 21324287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*(-2)\/((-8)\/(-4))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -164, -244, -324?\n\"Answer: -80*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/m)**8*(m*m\/m**(2\/7)*m)\/(m*m**(-4\/7)) assuming m is positive.\nAnswer: m**(-248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/15 - 1) + (-1430)\/(-8250)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 12. Let i(g) = g - 5. Let f be i(5). Let l be b(f). Is -25\/2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a369 (base 12) in base 13?\nAnswer: 2a2766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -24*k + 238. Let x be f(10). Let h = 1\/33 + -35\/66. What is the closest to -1 in 4, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3316 - 0.6184. Is n at least -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -25*q - 1483. Determine h(-63).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1010100110111011101 (base 2) to base 14\nAnswer: -90977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 2*f + 0*f**2 + 2*f - 6*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90921 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s*t**2*v + 150*s*t**2 + 3*s*v - s - 2*t**2*v + 581*v + 2 wrt t.\nAnswer: 6*s*t*v + 300*s*t - 4*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2927975, 2927978, 2927981, 2927984, 2927987?\nAnswer: 2927990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + -4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 16*y - 17*y = 7, -5*y = 5*o + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -z - 5, -4*s = 9*z - 13*z + 4. Suppose z*u + 2*u = 2*o + 4683, 5*o - 2816 = -3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -747 and -4.4.\nAnswer: 3286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*h - 37 = -4*s, 72 = 4*s - 4*h. Are s and 17 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/5)\/((-2)\/(-10)). Let h = z + 65. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - d + 0)*(-2*d**2 + 3*d**2 + d**2) + 15*d**3 - 10*d**3 + 15*d**3 in the form a + s*d**3 + z*d + u*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) - 24\/(-10). Let h = 1 + 3. Let p(q) = q**3 - 4*q**2 - q + 7. Let t be p(4). Solve t*g - 2*n - y*n = 3, -3*g - h*n = 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 - m**2 - 3*m + 6. Let w be z(2). Let o = w - -138. What is the remainder when o is divided by (5 + -1)\/(2\/11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 7*n - 4. Let o(c) = -c**3 - 2*c**2 - 3*c - 3. Suppose -5*y + 15 = 0, u - y = -4*u - 13. Let t be o(u). Let k = t - 0. Calculate x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949610 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(1377) + 0)*3 - (-1*(2 + sqrt(1377)) + 0))**2.\nAnswer: -216*sqrt(17) + 22043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9deb (base 15) to base 5\nAnswer: -2033041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -764*b**3 + 124*b**2 + 1504*b**3 - 750*b**3 to d + s*b + u*b**2 + l*b**3 and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 221, 612, 1265, 2180, 3357?\n\"Answer: 131*b**2 - 2*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*l - 2*f, 3*f + 17351 = -5*l + 17336 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from nonoonnnwvcjccn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*j, 0*o - j = -o. Let h be -11 + 23 + -15 + 6. Solve 3 = 2*b + a, -h*a + 4 - 1 = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*j = -354, -d - 6*j = -2*j - 82. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**2*f**0)**(-24\/7)\/((f\/(f*f**6))\/f**(-2))**39 assuming f is positive.\nAnswer: f**(1116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let v be 1*(-6)\/16 + q. Let w = -855 + 854.6. Sort -0.2, v, w in descending order.\nAnswer: -0.2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562.13 - -8.87. Let f = h - 577. Which is the nearest to 0? (a) -0.06 (b) f (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 774832024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23471*u = 26322*u - 133997 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 241 + 0?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**2 + 1. Let t be h(-1). Suppose 0 = 2*s - 3 - 27. What is the highest common factor of s and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 6*x**2 + 2*x + 1. Calculate v(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c\/((c*c\/((c**(-1\/5)*c)\/c))\/c))**(-2\/191))**(-2\/53) assuming c is positive.\nAnswer: c**(316\/50615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykykkyy. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15220?\nAnswer: 2, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -54. Find the common denominator of (f + -3)*162\/40 and -32\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 7:05 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 + -0.1. What is the second smallest value in 0.1, g, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.986 - 0.014. Let z = h - -35. Let x = -36.84 - -37.84. Which is the second biggest value? (a) z (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 9*d**3 + 9*d**2 + 33*d + 18.\nAnswer: -3*(d - 2)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2474, -2475, -2476?\n\"Answer: -u - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1.7 (c) -10 (d) 0 (e) -75 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935145 is divided by 1306.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 3, a: 1, f: 3, x: 3, i: 2}. What is prob of picking 3 w and 1 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44023, 44063, 44103, 44143?\n\"Answer: 40*u + 43983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -35. Suppose 5*q = o*q - 186. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1968 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {z: 1, t: 2, a: 1, w: 3, k: 12}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.199 and -13854756.9.\nAnswer: -13854757.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((-1 + sqrt(448) + -3)**2 + 4).\nAnswer: -128*sqrt(7) + 941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 41 = 2*z, -2*r = 4345828*z - 4345827*z + 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 - 7*z**4\/6 - z**3\/6 - 23*z**2\/2 + 48*z + 9. Give m(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s - 14. Let q be v(7). What is b in 4*b**2 - 13 - 6*b + q*b + 13 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -48*h**2 - 12834*h - 357. Let z(x) = -17*x**2 - 4278*x - 126. Give 6*n(d) - 17*z(d).\nAnswer: d**2 - 4278*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2442.237 and 3.\nAnswer: 2445.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 8*x - 4*x**2 - x**3 + 4*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bbc83 - 5?\nAnswer: -2bbc88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9 - 3*u + 12*u**2 - 12 + 4*u + 7 - 3. Let g(f) = 24*f**2 + 2*f + 2. Determine -2*g(y) + 5*l(y).\nAnswer: 12*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*a + 51*a - 2511 = 5154 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174091 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-5*(-5)\/125. What is the third smallest value in y, -1, -0.07?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 6706 = 6738 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 45 = -13. Suppose -b = -q - 4. Suppose -219 = f - 3*f - h, 2*f + q*h - 210 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.57 + 59. What is a rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 322 - 259. Suppose 68 = -46*x + m*x. Solve -x*u - 2 + 14 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1273 or -1274?\nAnswer: -1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + h + 1 = 0, -2*g = -h + 15 - 7. Let z = g - -1. Let u = 1967 + -1970. Put z, u, -1 in ascending order.\nAnswer: u, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56420448 and 678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 185 and 0.096.\nAnswer: 185.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313 + -265. What is the highest common divisor of 4632 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/14 - 1) + 247\/(-266)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 456*c**3*g**2 + 264*c**2*g + 2*g**2 wrt c.\nAnswer: 2736*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2870, 2863, 2852, 2837, 2818, 2795, 2768?\n\"Answer: -2*d**2 - d + 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 30*n + 51. What is m(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 + -8)) + (-14 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t + 4*t - 18*t - 29*t. Let a(o) = o**2. What is a(d(f))?\nAnswer: 784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111386 times -3\nAnswer: 334158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5.7. Let j be (-1)\/(-2) + 3\/(-2). Let u = 0.6 + -0.5. What is the nearest to j in l, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 0. Let u(r) = -r**2 - 4*r + 1. Let n be u(s). Suppose -4*m = -n, -5*m + 9 = -3*j + 5*j. Solve 2*f + j = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46855040*k**3*p**3 + 2*k**3 - 7*k**2*p**2 - 1424*k**2*p - 6*k*p - 7*p**2 wrt p.\nAnswer: -281130240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3 - 5031*p**2 + 25*p - 27715336 wrt p?\nAnswer: -6*p**2 - 10062*p + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 - 158.3. Let d = 68.7 - n. Are d and 1\/545 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c - 3*c)*(-3*c**4 + c**4 + 8*c**4).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 622, -1, 4, 219 in ascending order.\nAnswer: -1, 3, 4, 219, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090133 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 closest to 4 in -1\/11, -3, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)*1)\/sqrt(576) + 4.\nAnswer: -sqrt(11)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*b**3 + 5 - 5 + (b**2 - 2*b**2 - b**2)*(1 - 1 + 9*b) + 3*b**3 - 4*b**3 + 3*b**3.\nAnswer: -31*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -7934 - 4?\nAnswer: -7938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -102120112 (base 3) in base 15?\nAnswer: -2778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (4 - 2)) + 4. Suppose 5*u = i*u + 30. Suppose -5*p - s + 22 = 0, p - 8 = -2*p + 2*s. Calculate the highest common factor of p and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 298*x + 2045. Give c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 + 0*w**4 + (1 + 8*w - 1)*(3*w**3 - 2*w**3 - 2*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b. Let y(x) = 2097*x**2 + 2*x - 9. What is y(r(l))?\nAnswer: 33552*l**2 - 8*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*f + 389*f + 278*f - 19*f as v*f + p and give v.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.5 (b) -1.506 (c) -4\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q - 5. Let h be 2 + -4 - (10 - 20). Let k be 1 + -6*(-4)\/h. Let w(s) = -4*s + 4. Calculate k*l(t) + 5*w(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 6*y**2 - 18*y + 9. Let b be t(8). Let w(o) = -o**3 - 7*o**2 - 12. Give w(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -26546.154 rounded to the nearest 10?\nAnswer: -26550","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 25*g + 140. Suppose 0 = 2*u - 10, -g*p + 0*p + 5*u = 70. Sort 0, p, 4, -6 in descending order.\nAnswer: 4, 0, -6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 737075 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccci when four letters picked without replacement from {c: 10, i: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*g + 3*s + 9, 0 = 5*s + 10. Let o be 9 + g + -9 + 60. Calculate the highest common divisor of 76 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -a526?\nAnswer: a539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 6*j - 20, 0 = -u + 5*j - 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 277175934 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 14*t**2 - 55*t - 18. What is the remainder when 256 is divided by c(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 192 in -2\/7, -0.7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f + -677546?\nAnswer: -677507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3068 and 3009.\nAnswer: 156468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 + -463?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2016234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (-1*406)\/7. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279329 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*q**2 + 2*q**3 + 129*q**2 - 12*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 15*y + 29)*(-1 + 1 - 2) in the form d + n*y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.5 (c) -152\/5 (d) 0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*o = -31, 2*k + 97 = 4*o + 71 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 13*f**2 - 21*f - 51. Let x be z(10). Put -5, x, 2 in increasing order.\nAnswer: -5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 + -16 + 2)\/(39\/(-117)) and (-2)\/(-4)*(1 - -1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 6149.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -20. Solve -k + 5 = g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105.4642969 - -105.6043. Let m = 0.14 - q. What is m rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 8500*s - 1088102. What is u(-130)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11*(-2)\/(-3) - 3\/9. Let g be 68*(-33270588)\/56 + (-2)\/u. What is g rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:35 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 221 = -10*y - 37. What is the highest common divisor of 12512 and y?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/7, -0.2, 1\/5, -0.1 in increasing order.\nAnswer: -5, -3\/7, -0.2, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*s + 5*s - 15, 4*s = -3*r + 12. Suppose 2*l + 48 = 5*b - 25, -b + s*l + 25 = 0. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/721 and 16\/721.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 11 - 14)*(3*h**2 - 3*h**2 - h**4) - 7 + 7 - 2*h**4 as r*h + k*h**2 + u + l*h**4 + a*h**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4)*z**4)**7)**(-2\/67) assuming z is positive.\nAnswer: z**(-147\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p - 141*p + i = -12, -p = -i - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 + 1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 31*p**2 - 19*p**2 + p**3 - 5 - 16*p**2 - 2*p**3. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = -5*b, 5*g - 2*b = 0. Suppose 5*d - 5*u - 810 = -170, 2*u - 4 = g. Suppose 21 = -k + d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -107236 and -3128404969?\nAnswer: 3128297733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 8. Let f be t(-2). Let z be f\/6 + (-48)\/(-36). Suppose -z*n - 7 = -7. Solve n*y - 4*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6 - 8 = y, 0 = z + 5*y + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9523469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250201782?\nAnswer: 2, 3, 13900099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g. Let d(b) be the second derivative of 0 + 0*b**3 - 11*b + b**2 + 1\/30*b**5 + 0*b**4. Let l(r) be the first derivative of d(r). Give l(c(a)).\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 778160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a23a (base 11) in base 12?\nAnswer: 20991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 0.80820493.\nAnswer: -10.19179507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9143 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -147 - -152 - (-2 - 1). Solve -8 - j = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(960))\/(sqrt(192)*6))**2.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(1872) - (0 + sqrt(1872)*-2)**2) + (2*sqrt(1872) + -3)**2 + -2.\nAnswer: -132*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14249 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248637851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 3*b**3 + 3 + 2*b**3 + 3. Let v(z) = 6*z**3 - z**2 - 2*z - 1. Let m be v(-1). Does 21 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**2 - 13*a - 32. What is the tens digit of y(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 11 + -24 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-7 - -14) + (80 - (-6 + 7 - -6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*g, -13*k + 12*k - 3*g = 0. Solve k = -2*s - 5*y + 9, 4*s - 3 - 3 = 2*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (-144)\/(-10) + 24\/(-60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3805198.1 rounded to the nearest 1000?\nAnswer: -3805000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29ac + 2?\nAnswer: -29aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -354\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/3 - 280*g + 4150\/3 = 0. Calculate g.\nAnswer: 5, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 0 - -54 - 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -68.9. Is 0 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {x: 4, g: 3, i: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 31336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -21?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*z**3 + 199704966*z**2 - 12174015824640*z + 89186918400 = 0 for z.\nAnswer: 2\/273, 121920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7389 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3160 divided by 4?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -29.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7 - 1. Suppose -9 = -3*h + r, -o*h + 17 = 4*r - 7. Suppose 0 = 2*y - v, -v + 2 = -5*y - 1. Put y, -6, h in increasing order.\nAnswer: -6, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-248)*2 - (17 + -18 - 16289\/217)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593 - -342. Let j = 247 + h. What is the closest to -0.16 in j, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuuiuiuii. Give prob of sequence uui.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526699747271 plus 11?\nAnswer: 526699747282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13 = -3*f, 171*f - 168*f + 4*o - 19 = 0. Which is the biggest value? (a) -0.4 (b) -11 (c) -1 (d) f (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + 0 + sqrt(448) + (sqrt(448) + sqrt(448) + 0 + sqrt(448) + -5 - sqrt(448)) - (sqrt(448) + sqrt(448) + -1 + 2)*2)**2 + 0.\nAnswer: 160*sqrt(7) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2454550?\nAnswer: -2454550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1203032324?\nAnswer: -1203032334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/120 + f**5\/12 - f**4\/24 + f**3 + f**2. Let j = 170 - 160. Let r be (j\/3)\/((-69)\/9 - -7). Calculate m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1985)\/35 - (-4)\/(-14). Let u = 281\/5 + r. Let o be 3 + (-6)\/(-21) - 3. What is the nearest to o in 1, u, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.8 - 43.8. Which is the nearest to g? (a) -3 (b) 2\/13 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/21*-3 + (-32)\/126. Let q be 10\/(-2)*4\/(-170). Which is the nearest to q? (a) -2 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**4 + 927*a**3 - 12975*a**2 + 3186*a = 0. What is a?\nAnswer: 0, 1\/4, 18, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30932.9*0.3\nAnswer: 9279.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610806.\nAnswer: 2, 805403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-40)*4*-35. Solve 0 = 5*g + 3*h - 8 - 6, 0 = -4*g - h + j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(216)*3.\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 43. Let r(w) = 3*w**2 - 4*w**2 + 4*w + 2 - 1. Let o be r(u). Solve o*s - 4*m = 18, -3*m + 3 = 5*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42572728 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 579, 590, 605, 624?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -9*y - 392. Let h be (-14)\/y + 594\/(-8). Let u = h + 85. Calculate the highest common divisor of 187 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*h - 10 + 6, 3*h + 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94688 and 56.\nAnswer: 662816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/106140 and -71\/3480?\nAnswer: 212280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/15*-3*(-5)\/1. Suppose -3*y = -4*y. What is the second derivative of 4*h + 0*h**4 + y*h + 5*h**l - 3*h wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -95. Let f = i + -52. Suppose 4*b = -b + f. Solve -z - 2*q - 13 = 0, 0 = z + b*q + 2*q + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 26676?\nAnswer: 293436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -20*q + 2. Is 4 a factor of 24211\/142 - q\/((-4)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -152 (b) -0.5 (c) 3 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1168*d**4 + 2 - 6*d**2 + 2*d + 4*d**2 + 1169*d**4 in the form z*d**4 + f + c*d**3 + w*d + r*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 325282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, i: 1, o: 4, g: 4, n: 1}. Give prob of picking 3 m.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-712)\/10)\/((57\/475)\/((-114)\/760))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19045*n + 3405 = -18818*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, 0.1, 282, 1, -3, 4\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -14. Suppose -3*d = k*u - 81, -2*u = 2*u + d - 102. Suppose 23*p - u*p + 180 = 0. Does 45 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28820 divided by 5764?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -523*r**2 - 121320*r + 3712. Calculate b(-232).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773259 is divided by 773117.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -930402783 by -3334777.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 at least as big as -4864011.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -20, -38, -56, -74?\n\"Answer: -18*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-2 + -2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**3 + 22 - 1\/24*u**4 + 0*u + u**2. Let a(m) = 48*m**2 + 2. Give a(f(h)).\nAnswer: 48*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 4 (b) -8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 96\/(-18))\/((-2)\/(-36)). What is the greatest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - c + 3. Let u(j) = j**2 - j + 1. What is 2*f(n) - 5*u(n)?\nAnswer: -n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 97*a + 115. Let m(f) = -f**2 + 48*f + 51. Determine -9*m(g) + 4*y(g).\nAnswer: g**2 - 44*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/(-1) - 8. Let n(g) = -g + 15. Calculate the remainder when n(w) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**5\/12 - m**3\/3 + 28*m**2. Let n(j) = -9*j**2 + j - 5. What is 5*a(h) - 2*n(h)?\nAnswer: -7*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*t - 137*t + 1790 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1004491 rounded to 4 dps?\nAnswer: 0.1004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -494, -986, -1478, -1970, -2462, -2954?\n\"Answer: -492*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-7))\/((-114)\/(-112) + -1). What is the common denominator of 115\/48 and 52\/(-130) - 622\/x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329166.6 - 329183.2000032. Let c = 16.6 + k. What is c rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in 1.78, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15433 (base 9) to base 13.\nAnswer: -4a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:13 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 14 = 0. Suppose 4*x - h = 5*p, -3*x - 2*p + 6*p = -11. Let l be -1*(0 - (1 - 2)). Is l bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 - 2*n**2 - 13*n + 7. Let b(i) = 15*i**3 - 5*i**2 - 27*i + 14. Let m(c) = 6*b(c) - 13*j(c). Does 23 divide m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*1*-6 - sqrt(117))\/(sqrt(18)\/sqrt(2)*-1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-8) + -3)*0. Let m(u) = u**3 - u**2 - 15. Let x be m(f). Let t = 72 + x. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 0 = 85*w + 18*w - 1 + 207 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3\/(-2))*2. Let l = 24149\/17 + -1421. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 29.5. Let t = 0 + 0.5. Let s = l + t. Which is the third biggest value? (a) s (b) -1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {m: 1, l: 3, i: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -4. Let d = 10 - 10.33. Let w = d - -0.73. Sort w, 3, l in decreasing order.\nAnswer: 3, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6\/11, -6, -2\/15, -20?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l + 1746. Is (l\/27)\/((-2)\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 5*d + x = 2, 0 = -11*d - 3*x - 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14369, 28081, 98831, 197881, 325231, 480881?\n\"Answer: 14150*w**2 - 28519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012202 - 120?\nAnswer: -111020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 84, 95, 128, 195, 308?\n\"Answer: 2*h**3 - h**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2539.094 litres to millilitres.\nAnswer: 2539094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*r - 23 - 2, 0 = 2*g - 2*r + 34. Let t = g - -167. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896955692 and 3736?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22667 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9143 + -5a?\nAnswer: 90a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w = -171 - 99. What is the remainder when 1178 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19744 and 36416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*p + 95 - 108, 2*p + 2 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + u + 62, 2*y + 3*u = 7*y - 102. Suppose -13233*q = -13224*q - 13 - 176. Solve y = 4*x + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 1\/3 (c) 0.4 (d) 121 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2117 + 2212. Calculate the greatest common factor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248184512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 743, 1565, 2707, 4169?\nAnswer: 5951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + sqrt(605) + -2*sqrt(605))**2)*2 + 1.\nAnswer: -176*sqrt(5) + 1243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -227 in -0.2, -3, 0.5, 4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.55 - -6.35. Which is the nearest to -1? (a) 5 (b) k (c) -0.5 (d) 6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189115746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b**2. Let v(o) = -o**2 - 2. Let g(c) = -2*c**2 - 5. Let f(u) = -2*g(u) + 5*v(u). Calculate f(p(j)).\nAnswer: -361*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 + q**3\/3 - 29*q**2\/2 + 8*q + 192. Give b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 + 124. Let z(r) be the first derivative of -g*r**2 + 24*r + 15\/4*r**4 - 3 - 3\/5*r**5 - 6*r**3. Factor z(n).\nAnswer: -3*(n - 2)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 20 in descending order.\nAnswer: 20, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + 22c?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/7)))\/(s*s\/(s*s**(-13)\/s)*s) assuming s is positive.\nAnswer: s**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j + 4, -5*d - 2*j - 4 = -3*j. Let p = 2 + d. Solve 0 = 3*q + 4*g - 14, -4*q - 4 + 6 = p*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0. Let i = z - 0.22000037. What is i rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(7 - 8))\/(2\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72517 divided by -127?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190840 is divided by 290.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69680 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 53. Suppose -230*n = -107*n - 115*n. Sort 2, -5, n, l in descending order.\nAnswer: 2, n, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:14 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167943 and 43246969?\nAnswer: 2205595419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -755, -3081, -6965, -12407?\nAnswer: -19407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 123*r**3 + 1425*r**2 + 3249*r.\nAnswer: 3*r*(r + 3)*(r + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/8)\/5)\/(3\/(-72))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:42 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/(g\/(g\/g**9))*(g\/(g**1*g))**(-44) assuming g is positive.\nAnswer: g**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 64*y - 38*y + 63*y to r*y + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2143031, -4286037, -6429043?\n\"Answer: -2143006*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l - 3*y + 30 = 0, -5*l = y - 34. Let q = l - 5. What is the units digit of 16*(1 + q)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 21*i - 40. Let v be k(23). List the prime factors of 3232\/v + 29\/87.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 5*t**4 + 4*t**4)*(2*t - 3*t - 4*t) - 2*t**4 + 2*t**4 - 2*t**5 + (-3*t**3 + 4*t**3 + 0*t**3)*(0*t + 0*t + t**2).\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 51347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329479984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1 + 1 - 2 - 2*v. Let i(r) = r + 0*r + 3*r**2 - r. What is c(i(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 34. Find the second derivative of -m*x + 10*x - x**5 + 2*x**5 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 704, 1582, 3290, 6104, 10300, 16154, 23942?\nAnswer: 33940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77809 and 25074?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3)*u)\/u)**(-2\/73))**(-9\/5)*((u**0)**(-4\/27))**(2\/81) assuming u is positive.\nAnswer: u**(-54\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -133*p**2. Let z(t) = 15*t + 998 - 998 - 43*t. Calculate z(i(h)).\nAnswer: 3724*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*q = 587*q - 26368 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7\/2. Let z = 0.9 + -0.6. Which is the smallest value? (a) -1\/4 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143430 (base 5) in base 7?\nAnswer: -23554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*i + 36, 16*g = 3*i + 26554 - 26410 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389870603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267, 1114, 2509, 4446, 6919, 9922, 13449, 17494?\n\"Answer: -k**3 + 280*k**2 + 14*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3801 + 4363. What is the remainder when r is divided by 93?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -756 - 13407.6.\nAnswer: -14163.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:49 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25168 times -3?\nAnswer: 75504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10551 - 101185?\nAnswer: -111746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - cedb?\nAnswer: -cede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:48 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/132 and 47\/77.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*g - 4*g + 209, 200 = 284*h - 282*h + 3*g - 7*g for h.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 + 3 = 0. Let l be s\/(-1)*(-2)\/(-4). Let x = 1 - 1. Which is the biggest value? (a) -0.5 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njn. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (sqrt(704) - (sqrt(704) + 2)))*2)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, y: 2, d: 3}. What is prob of picking 1 y and 3 m?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88456 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12941\/90 - 2943\/20. What is the common denominator of x and -31\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.5, 0.18.\nAnswer: 0, 0.18, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1596 + -1500.1. Let s = -107 + a. Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 62\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -g - 8, -59 - 23 = 3*q - 5*g + 7 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214429\/30 - 7150. Let i = -350 + 355. Find the common denominator of (i + 4\/(-12))*(-1)\/9 and o.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -22.8. Let z = v + -14. Let w = z + -9.00122. Round w to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205251 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0 - 1\/8*v**4 + 8\/15*v**5 + 0*v + v**2 - 1\/2*v**3. Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -42, -41, -700, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = -6*v. What is the closest to -0.1 in 0.1, 0.2, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210198.2 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + 10 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16715 (base 11) in base 6?\nAnswer: -300430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f + 5. Let x(m) = -9. Let y(n) = -2*x(n) + z(n). Let r(g) = -14*g - 34. Calculate 5*r(h) + 8*y(h).\nAnswer: 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8110 + -8112. Put -2\/21, a, 146, 2 in ascending order.\nAnswer: a, -2\/21, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007*w + j = -2009*w + 43, 5*j + 61 = 2*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3377 - 1333 + 3622 = 152*g + 1410 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/21 + 1650\/(-105). Sort 4, -3, o, -2 in descending order.\nAnswer: 4, -2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffwwzwwwfwwwwz. What is prob of sequence wzz?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 51*m - 282. Is 30 a factor of c(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + (sqrt(1323)*1*3 - sqrt(1323)) + sqrt(1323) - (4 + sqrt(1323) + 0))*-2*6)**2.\nAnswer: -72576*sqrt(3) + 1716912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(sqrt(1700) + -2)**2*-2 - -4*((sqrt(17) - (sqrt(68) - sqrt(17))**2)*2 + sqrt(17) + (sqrt(17) - (sqrt(612) + -1)**2))) + -5).\nAnswer: -15262 + 352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1742\/(-201) + 1*2)\/((-20)\/90)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/6 and -43\/6333.\nAnswer: 12666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 33411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61284 and 1416.\nAnswer: 7231512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4003.969 nanograms?\nAnswer: 0.000000004003969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:01 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*m - 2*l - 72, m + l - 24 = 0. Let q = m - 4. Suppose 4*r = z + z - q, 4*z + 3*r = 70. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 34971*c**4 + 34977*c**3 - 209820*c**2 - 36*c = 0.\nAnswer: -3, -2\/11657, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 131 (b) 60 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + 4*l**2 + 610*l + 1821. Give k(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -422\/9. Let w(t) = 4*t**2 - 46*t + 10. Let f(z) = -3*z**2 + 31*z - 7. Let c(h) = 7*f(h) + 5*w(h). Let q be c(-13). Are q and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -125\/25599?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6919, -13851, -20783, -27715, -34647, -41579?\n\"Answer: -6932*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 - q - 24*q to b*q + k and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -11. Let m = -6 - v. Let s be 0\/1*1\/m. Solve -5*w + 10 = z, s = 8*z - 4*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 70*q + 129. Calculate t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/28 + (-114)\/(-14). Let l(v) = v + 7 - 19 + 4 + 6. Give l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 8*o - 2*o + 20*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = g + 3407*a - 3404*a, 5*a + 397 = 2*g. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 - 163 + 349)*(-3*t**5 + t**5 + 3*t**5) + t**5 - t**5 + 2*t**5 + (3*t**4 - 5*t**4 + 0*t**4)*(4 - 2*t - 4).\nAnswer: 103*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, -396, -1168, -1978, -2670?\nAnswer: -3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5786017\/136 + 42545. Let p = m - 15\/17. What is the nearest to -1\/3 in p, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688, 1473, 2258, 3043, 3828, 4613?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.28399934 to 2 decimal places.\nAnswer: -12.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2146 + 2144.191. Let i = o - -1.63. Let v = 0.1869 + i. Round v to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 20713*f**3 - f**2 + 18*f + 20. Let v be g(-9). Round v to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*l + 1232*l + 18*o - 63 = 611*l, 0 = -2*l - 4*o - 0 + 30 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 485 and -13180.\nAnswer: -6392300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9097.266 months to decades.\nAnswer: 75.81055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 6213*g**2\/7 + 12867123*g\/7 + 8882603911\/7.\nAnswer: (g + 2071)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 9*r**2 + 3*r - 45. Let w be t(-8). Let v(f) = -f**3 - 4*f**2 + f - 7. What is v(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqallalqllqqlql. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.73 - -0.27. Let g = -6.99999859 + h. What is g rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*u - 56 - 411 - 682 = 903 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12942*n**2. Let x(p) = -7*p**2. Determine x(m(v)).\nAnswer: -1172467548*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -45638?\nAnswer: 5932.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 9763?\nAnswer: 9763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 6:07 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 15, 4*l + b = -2*b - 53. Let u = l - -12. Let w be 0 - -2 - (3 - (u - -1)). Solve -3*c - w = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, y: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/25, 3\/14, -1446 in ascending order.\nAnswer: -1446, -3, -1\/25, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 329077 = 23*n. Let z = -218077 - n. What is z rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/((x**(-7\/6)\/x)\/x*x)))\/x*x)*x)**24*(x**(-2\/21))**(4\/3) assuming x is positive.\nAnswer: x**(6292\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 38 = -50. Let b(n) = 36*n**p + 28*n**2 - 55*n**2 - 5*n. Let x(d) = -2*d. Give b(x(j)).\nAnswer: 36*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-2)\/(-6) + -1). Suppose 3*s = -3, -3*s = -h*j - 0*s - 69. Let y = j + 30. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, i: 1, z: 1, g: 1}. What is prob of sequence zi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.5 (c) 0 (d) 19 (e) 0.0427 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-20)\/(-12))*-213. Let j = m - -33. Let b = j + 63. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let n(o) be the second derivative of -9*o**3\/2 + 986*o. Calculate -4*d(x) - n(x).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23181, -23197, -23173, -23091, -22933?\nAnswer: -22681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3079, 6159, 9239, 12319?\nAnswer: 15399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 9\/8*k**4 - 9*k**2 - 3\/5*k**5 + 0*k + 0*k**3 + 1\/10*k**6 + 0. Determine n, given that o(n) = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/(14\/(-10)). Suppose 0 = -l + 1, 2*l = -2*i + 14 - 6. Determine b so that 0*b - r*b**i + 8\/7 - 6\/7*b**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223917157 a multiple of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:37 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, i: 2, n: 3}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-18))\/(1*3\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7886*g + 15062264. Give y(1910).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 408*s**4 + 100*s - 1065*s**3 + 60 + 950*s**3 - 413*s**4 - 55*s**2 + 15*s**5 = 0.\nAnswer: -2, -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(1\/10)*o**3*o**(-1\/8) assuming o is positive.\nAnswer: o**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15447006 = -4*b + 6952994. What is b rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3750, 7487, 11224, 14961?\n\"Answer: 3737*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17834 and 2499170?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrrrrzzrrrzrurzzrrr. Give prob of picking 3 z.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 4*t - 12. Let r be ((-2)\/3)\/((-3)\/72*-2). What is the tens digit of u(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 - 18*m**2 + 5121*m\/8 - 7047\/4.\nAnswer: (m - 87)*(m - 54)*(m - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 972009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - x - 11 = 0, 5*x = -4*b - 7 - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/(-9) - -4)\/(2\/21). Which is greater: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -31*w**2 - 2*w - 3. Let v(b) = 62*b**2 + 7*b + 7. Calculate -9*f(x) - 4*v(x).\nAnswer: 31*x**2 - 10*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1 - -3))\/1. Suppose -a = 3*g + g, -3*g = -4*a. Let v = -9 + 13. Sort g, n, v.\nAnswer: n, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (18 - 37) - -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 611254, 2444976, 5501186, 9779890, 15281094?\n\"Answer: b**3 + 611238*b**2 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 13*s + 13. Let i(c) be the first derivative of 2*c**3\/3 - 3*c**2 - 6*c - 339. Calculate 13*i(o) + 6*x(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350412 and 456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -2723?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51044 times 0.2?\nAnswer: 10208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*r + 102192 = -196*r + 4957*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 87 + 5*y**2 - 81 to the form b*y + d + q*y**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-20) + (-8)\/20. Suppose -4*d - 5*z = -1 - u, 2*d = z + 8. Let x be 10\/14 - (-2)\/7. Solve -2*j - d = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685 = -2*r - 10*f - 219, -f + 31 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 149, 336, 599?\n\"Answer: 38*w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w - 3. Let m be c(-8). Suppose 0 = m*f + 62 - 7. Let o(t) = -5*t - 14. What is the remainder when o(f) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -4. Let m = -10 + 13. Suppose -4*n - 11 = m*u - 48, -5 = -n - 5*u. Calculate the least common multiple of h and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7))**(1\/53)*r**(1\/23)*r*r**(-2) assuming r is positive.\nAnswer: r**(-8024\/8533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) 0.3 (b) -0.184 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 273 = -2*m + 88, 2*n = -4*m - 390. Let o = -173 - -320. Let b = m + o. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s + 0 - 1\/8*s**4 + s**2 - s**3. What is n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12 + 13*f**2 - 8*f - 19*f**3 - 5*f - 1. Let u(m) = 9*m**3 - 6*m**2 + 6*m + 6. Determine -6*n(g) - 13*u(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/(-9) - (-36)\/162. Let c be 208\/(-6)*(-81)\/g. Suppose -f = -n + 14 - c, n = 5. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 59 = -3*m. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17754869 is divided by 7040.\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.766 + -1.766. Which is the second smallest value? (a) 1\/2 (b) 3 (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose 0 = 4*i - n - 8. Let w = 5 + -1. Solve 4*q = -3*s - 2, -w*q + 12 - 2 = -i*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:03 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4914 divided by -182.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 0)*(-2 + 1 + 3)*(a**2 + a**2 + 2*a**2).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 4*w**4 - 3*w**2 + 4*w**3 - 8*w**3 + 1 to the form c*w**2 + q + v*w + i*w**4 + j*w**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7445 - 2.59343. Let v = q + -0.151. What is v rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 + 5 = 111*c + 1443 + 32 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s + 154 = 3*y, -4*s - 8*y = 132. Which is the smallest value? (a) s (b) 2 (c) -5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2\/23 (c) 14\/3551 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97331617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 7, -18\/19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101001 (base 2) in base 10?\nAnswer: -809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/(-12))\/((-1)\/(-3)). Let p be (v\/(-100))\/((-1)\/(-5)). Let a = 4 + -3. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, -3\/5, -5 in descending order.\nAnswer: -0.3, -3\/5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-27)\/(-153)))\/((-180)\/(-3240))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + 33 + -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/360 + g**5\/20 - g**4\/8 + 2*g**3 - 13*g + 340. Let l(n) be the third derivative of j(n). Give l(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/37, -4\/3 in ascending order.\nAnswer: -5, -4\/3, 3\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/((-8 - (-78)\/12)*(-8)\/(-6)). Solve -u*r + 33*r = -69 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*p**2 - p + p - 152*p**2 - 154*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -30243242?\nAnswer: -30243242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-36) - (-315)\/(-162).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1762221\nAnswer: -1762222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 5*h**3\/6 + 15*h**2\/4 - 10*h + 2. What is t in p(t) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1528, 5, -4, -1 in decreasing order.\nAnswer: 1528, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-226)\/160347)\/(2\/(-3)). Let n = y + -53461\/5676. Calculate the common denominator of -75\/52 and n.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from yxyymvbyyymdbdm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 815 - 813. Solve -42*r + h = -40*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*a + 2 = 0, 88*z + 64 = 79*z + 4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {c: 3, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 3*r**2 + 3*r + 3. Let y = 384 + -380. Let n(d) = y*d**2 - 4*d - 5*d**3 - 8*d**2 - 4 + 6*d**2 + 2*d**2. Calculate -3*n(s) - 4*o(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13038, -52141, -117262, -208359, -325390?\nAnswer: -468313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 80.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-382)\/(-4) + (-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3413*b**2 - 3417*b**2 - 2 + 2*b + 122*b**3.\nAnswer: 122*b**3 - 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(78) + (sqrt(78)*1 - sqrt(78))) + sqrt(78) + sqrt(78))\/(sqrt(6) + sqrt(6)*3*-2))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63010929.\nAnswer: 3, 821, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2380944 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 14*s + 76 = -3*o, 0 = -6*o + 36. Sort 1\/3, s, 0.05.\nAnswer: 0.05, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-52)*2\/(-6). Let y = m + 31\/312. Let r = -0.7 + 5.7. Which is the biggest value? (a) y (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497226812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let t(w) = -6*w + 3. Let d(p) = 6*p - 3. Let a(v) = -6*d(v) - 7*t(v). Let f(x) = a(x) - 4*j(x). Suppose 34 + 2 = 21*z - 6. Calculate f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/2371 and 21\/115.\nAnswer: 272665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8215271 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*i**2 + 31*i**2 - 220*i**2 + 90*i**2 - 133*i**2.\nAnswer: -501*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1739050850 to the nearest integer?\nAnswer: 41702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8221.\nAnswer: 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.25 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k. Let x(d) be the third derivative of d**5\/120 + d**3\/3 + 6*d**2. Let a(t) be the first derivative of x(t). Give a(z(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v + v**2 - 4 - 1 + 0*v**2 - v**4 + 2*v**4. Let z(k) = k**3 + k + 1. Let y(u) = m(u) + 3*z(u). Suppose y(t) = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111 (base 3) to base 2.\nAnswer: 10010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251213, -251209, -251209, -251213, -251221, -251233?\nAnswer: -251249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 2, p: 1, l: 3, c: 1}. Give prob of sequence py.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 116, 249, 422, 629, 864, 1121?\n\"Answer: -t**3 + 29*t**2 + 7*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56189\/6 - -9365. What is the third biggest value in -0.2, 13, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/6 + a**3\/3 - a**2. Let s(r) = 3*r + 2. Let n(x) = 6*k(x) - 7*s(x). What is the first derivative of n(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let u(z) = -z - 2. Let g(c) = -6*l(c) - 5*u(c). Let j be g(-3). Let a(m) = 14*m - 15. Calculate the remainder when a(j) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*h - 353*h + 3 = -x, -x + 3 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 2*y + 1. Let d(c) = -c**2 - 13*c + 72. Let g be d(-17). Suppose 0 = -8*x + g*x - 20. Determine k(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7130 divided by -702\nAnswer: 3565\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279\/934748 or 1?\nAnswer: 279\/934748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -61?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - -1 - (10 - -2). Let j(x) be the first derivative of 1 - 3\/4*x**4 + c*x**2 + 0*x + 6*x**3. What is the third derivative of j(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490617 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128\/9 - 14. Suppose 3*x - 10 - 4 = -5*v, 4*v + 4*x = 16. Is v less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:35 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 15*n**2 - 6*n + 2. What is the units digit of g(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23141 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k + x + 2, -5*k + 5*x + 45 = 0. Suppose 0 = -3*d + 6 + 12. Suppose 2*h + 0 = -d. Sort k, h, -5 in increasing order.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -34. Let m be (-1 - f)\/(8 - 9). Calculate the remainder when 42 is divided by ((-5)\/10)\/(m\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -20. Let x = -319 - -24. Let g = -253 - x. What is the remainder when g is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*p + 102 = -24, z = -p + 27. Let d = z + -8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 54*j**2 - 29*j**2 - 26*j**2. Let v(h) = -89*h - 2. Determine v(o(l)).\nAnswer: 89*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17))**(-1\/5)\/(z*z*z\/(z*z*z*z*z*z\/(z*z**(-2)))*z**20\/z) assuming z is positive.\nAnswer: z**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 342 = -2*i, -10*i - 876 = -15*i + 3*v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59441*k**6 - 135*k**5 + 870328*k**2 - 2*k wrt k?\nAnswer: 7132920*k**3 - 8100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*s + 17*s**2 + 20*s + 29*s)*(s**2 + 2*s**2 + 0*s**2).\nAnswer: 51*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*f + 45 = -5*d + 1017*f, 2*d - 4*f - 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622459 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15301 - 0.58\nAnswer: -15301.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from byfbb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/24 - 5*l**3\/2 - 9*l**2 - 5. What is b(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 31568950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b = 3*f - 68, f - 19 = -3*b. Suppose s = w + 4, -s + 16 = 4*w - 2*w. What is the remainder when f is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.77398 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195027827?\nAnswer: 359, 543253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 172.\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 - 1630*d - 11802. Determine a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Solve -3*a + k = -5*g + 4*g, 4*g + 2*a + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -1.152\nAnswer: -1.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at most -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1*h)\/(h\/(h\/(h\/(h**4\/h)))))**(-37)\/(((h**(4\/7)*h)\/h**(1\/2))\/(h**1)**4) assuming h is positive.\nAnswer: h**(-2549\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000356650124 to seven decimal places.\nAnswer: -0.0003567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 25*g**2 + 22*g + 50. Let i be t(24). Solve 38*q + i = 36*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268258 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (10 + 11 - 17) - 26.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 6*a**2 - 8*a - 22. Is f(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200300013 (base 4) to base 8.\nAnswer: 406007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9204\/39 + (-1 - -4). Suppose -a = 3*o - 1 - 9, 0 = -5*o - a + 20. Is (-5)\/(-25)*o*b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -3, 5, 4, 0, 18876 in descending order.\nAnswer: 18876, 16, 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (27 + -9)) + (12 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let t = -7 + 5. Let j be 0 - 2 - (-40)\/19. What is the nearest to t in w, j, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*f**2 + 8\/7*f + 15\/7 = 0. Calculate f.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*c**2 - 22*c**2 - 28*c**2 + 400 - 215*c + 215*c to the form f + q*c + z*c**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - w**3 + 33*w**2 - 8*w**3 + 3 + 93*w**3 + 107*w**3 wrt w.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*s - 232, 27 - 258 = -4*s - 3*b. Suppose 0 = f - 2*y + 7 - 1, 0 = 5*f + 4*y - 26. Suppose s = f*l + l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**3 + 0*l**2 + (-5*l + 3*l + 4*l)*(-1 - l**2 + 1) - 2*l**3 + l**3 - l**3)*(3*l**2 - 2*l**2 + 4*l**2).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 11. Let s(u) = 4*u - 13. Let v(g) = 5*b(g) - 4*s(g). Determine v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 - 2*p - 8. Let n be s(-5). Suppose n = -3*j + 8. List the prime factors of (-5 + j)\/((-12)\/232).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -164 and -182 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 4) to base 8.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -83, -1\/4, 0.3 in ascending order.\nAnswer: -83, -1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b9 - ac?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.956 minus 462525936?\nAnswer: -462525935.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by 1321?\nAnswer: -182\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 30122052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58998477*z + 522 = -58998651*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o**(-26))\/((o\/(o**(3\/22)*o))\/o**(-3\/26)) assuming o is positive.\nAnswer: o**(33775\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(2\/(-308)). Suppose 56*t = 18*t - 32870. Let i = t + 887. Calculate the highest common factor of i and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505 and 564085?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1. Let m(i) = 44*i - 2. Suppose -2 = 6*h + 4. Let a(o) = h*m(o) - 4*u(o). Let y(x) = -2*x. Calculate a(y(l)).\nAnswer: 88*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143\/5 + -469\/15. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -15. What is the remainder when 27 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6203, 6211, 6245, 6311, 6415, 6563, 6761, 7015?\n\"Answer: g**3 + 7*g**2 - 20*g + 6215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggt when four letters picked without replacement from ggfbvwtfwfbg?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9226.071 micrometers in nanometers?\nAnswer: 9226071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z - 1. Let m(y) = y**2. What is x(m(l))?\nAnswer: 9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-12\/13)\/(g*(g\/g**(-6)*g)\/g*g*g*g**(2\/13))*(g**(-1\/4))**(10\/3)*g**(-2\/9)\/g**(4\/7) assuming g is positive.\nAnswer: g**(-20809\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109890411.\nAnswer: 3, 2357, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*y + 0)*(0*y + 3*y - 5*y)*(229 - 216 + 106).\nAnswer: 1190*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -31. Suppose 0 = -o - o + 30. Let q = o - z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8244 times 51\nAnswer: -420444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0157681 to four decimal places.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/533, 5 in increasing order.\nAnswer: -4, 5\/533, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -63, -123, -189, -261, -339?\n\"Answer: -3*k**2 - 45*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -133*d**5\/10 + 371*d**4\/8 + d**2 + 17*d. Find the second derivative of u(v) wrt v.\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/4 - 2*d + 378. Let y(t) = 20*t - 17. Let x(z) = -7*z + 6. Let a(k) = -17*x(k) - 6*y(k). What is w(a(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 1, u: 1, j: 2, c: 1, l: 2}. What is prob of sequence ju?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-25))\/((-14)\/(-35)). Solve -k*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 475513?\nAnswer: 5\/475513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 6 + 7 + 3443*h - 3447*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 153600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15209086794.3 from -0.1.\nAnswer: -15209086794.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310 - -310.1. Let h = -51 + 355\/7. What is the closest to -0.1 in h, -5, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51883 + -0.1\nAnswer: 51882.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2 - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or 177?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 + 380486*z**3 - 380400*z**2 - 32340950*z - 104633375 = 0?\nAnswer: -5, 11, 380485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6211273 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 88\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30287*0.4.\nAnswer: -12114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1603328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jldd when four letters picked without replacement from wdddzpppdpjpld.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2482*h*p**3 - 6*h*p**2 - 3*h*p - 3358 wrt p.\nAnswer: 14892*h*p - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 + 7*b - 3. Let g be s(6). Let -3\/2*x**2 - 1\/2*x**4 - 1\/2*x + 0 - 3\/2*x**g = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/9)\/((s\/s**(1\/17)*s)\/s*s*s) assuming s is positive.\nAnswer: s**(-416\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764007691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(147) - sqrt(147)*5) - (5*(sqrt(3) + 2) - sqrt(3))) + -3)**2.\nAnswer: -650*sqrt(3) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 23200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -6)\/((-581)\/(-56) - 10). Suppose 0 = -24*s + y*s + 9688. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 27460970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g - 20. Let p(y) = 118*y**2 - 40*y**2 - 40*y**2 - 36*y**2. What is l(p(n))?\nAnswer: 20*n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-40)\/(-540)). Is k at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 67, 112, 165, 220, 271, 312, 337?\n\"Answer: -c**3 + 13*c**2 - c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:05 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4\/3 - 51019*n**3\/3 - 162242662*n**2\/3 + 938192804*n + 734057928 = 0.\nAnswer: -6386, -3\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n**5\/4 + 9165*n**4\/4 + 138213*n**3\/4 + 357159*n**2\/4 - 719835*n\/2 - 837828 = 0 for n.\nAnswer: -37\/5, -2, 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 0, 4*b = -2*f + b - 22. Sort 3, f, 2, -4 in increasing order.\nAnswer: f, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 44, 653 in ascending order.\nAnswer: -7, 44, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + k**2 + 1)*(4 - 3 + 1)*(2*k + 3 - 3)*(134 + 99 + 49).\nAnswer: 1128*k**3 + 1128*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**3 - 5*i**2 - 3*i - 2. Let f be h(4). Suppose 4*t = -2*t + f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 108\/(-140))\/((-4)\/72). Let w = 100\/7 - i. What is the smallest value in -4\/13, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 103 = -3*r. Suppose r*a - 453 = 482. What is the greatest common factor of 143 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:56 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 75. Let x(l) = -l + 73. Let p(a) = 4*h(a) - 3*x(a). Let u be p(-24). Solve 2 = -u*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9797123 + 96.0201937. Let d = -97 + x. What is d rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -37*z + 21*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21775 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 63. Let i = h - -26. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18168 less than -0.06?\nAnswer: -18168.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q + 2. Let y(z) = -z. Determine a(y(l)).\nAnswer: 22*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420186802?\nAnswer: 2, 7, 547, 54869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + (37 - (-13 + 28))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 8 = 3*g, 288018*g + 2*h - 27 = 288035*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17581550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, -10\/163, -0.1, -1\/3, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (-2 + sqrt(1539) + 3)**2 + (sqrt(1539) - (0 + sqrt(1539) + -1)) + -2*(sqrt(1539) + 0).\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1306.8885 hours to days.\nAnswer: 54.4536875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -197*k + 1580. What is q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218214813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48722.\nAnswer: 2, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let o = 373 + -377. What is the nearest to -2 in o, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82151600*f**3 - 417720*f**2 - 708*f - 2\/5.\nAnswer: -2*(590*f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Let p(k) = -k**2 - 3*k. Let b be p(f). Suppose b = d - 22 + 10. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.774 + -2.374. Let u = -0.5 - 0. Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let f(l) = -1832*l. Calculate m(f(k)).\nAnswer: 1832*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:12 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-5)\/(-90)). Solve p + 3*o = -u, -3*o = -3*p - 4*o - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + w + 1. Suppose 35*k - 29*k = 12. Suppose 58 = -k*u + 56. Determine m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2722 times 0.5?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-113 - (-144 - -120)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4968936 divided by 6?\nAnswer: -828156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0219077 to 4 dps.\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33453*t**2 - 66941*t**2 + 33486*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 10*w**2 - 155*w + 38. What are the prime factors of q(-12)?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 636 and 1024.\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1160)\/(-50) - 2\/10. Let s = 27 - c. Suppose 4*t + 52 = 2*k + k, -84 = -s*k - 2*t. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.1, -4\/7, -1\/2, 0.2, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.2, -1\/2, -4\/7, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 748 divide 751740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 1:31 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 268*y - 679. Let m be a(4). Which is smaller: m or 395?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**2 - q + 182. Let x(v) = -5*v**2 - 89. Calculate 2*g(p) + 5*x(p).\nAnswer: -5*p**2 - 2*p - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 + 1077*b**2 + 88068*b + 1253772 = 0.\nAnswer: -247, -94, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.041, 0, -0.3, 0.2.\nAnswer: -0.3, -0.041, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 58 = -77. Let l = j + 13. Calculate the smallest common multiple of 28\/(-6)*(l + 11) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2069*b**2 - 4432*b**2 + 6508*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 37*k**2\/4 - 55*k - 75.\nAnswer: -(k + 2)*(k + 5)*(k + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u + 2*u**2 + 4*u)*(-2*u**2 - u**2 - u**2) - 2*u**4 + 2*u**4 + u**4)*(-u + 0*u - u).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37471 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m - 10*m = -330 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 61*j + 126. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + 6 + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 14 - 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 104, 96, 4, -202, -552, -1076?\nAnswer: -1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 10*a**2 + 2*a - 15. Give v(5).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*b + 2*d - d, 0 = -4*d - 8. Let u be (-2)\/((5 + -3)\/b). Suppose 252 = -186*v - 492. Put u, 5, 8, v in descending order.\nAnswer: 8, 5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -860*f - 2 + 2145*f + 2400*f + 2 in the form t + j*f and give j.\nAnswer: 3685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3375 + 7278. Suppose u + 2*l = -3548, -3*u - 5*l - x = -8*l. Round u to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 18*c - 4. Let s(k) be the second derivative of k**4\/2 - 3*k**3 + 5*k**2\/2 + 4*k - 15. Give 5*f(g) + 4*s(g).\nAnswer: -g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.13 - -18. Let v = -5.13 - b. Let z = v + 4. What is the nearest to -0.4 in -4, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115\/7 + 554\/35. What is the biggest value in -2\/3, 2, -4\/13, g, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*o, 3*o + 5 = -5*w - 0. Solve -6 = w*l - 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/5)\/(9\/(-180)*12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126*-0.3.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139992 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -43.22 (b) -6 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - 2*a**4 - a**3 + 3*a**4 + (-4*a**2 + 2*a**2 - 2*a**2)*(a + 2*a**2 - a) + a**4 + 2*a**4 + 0*a**4.\nAnswer: -4*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z**2\/z))\/z)*z)**(2\/95)*z*z\/(((z**(-7)*z*z)\/z)\/z*z)*z**(-11))**(-2\/9) assuming z is positive.\nAnswer: z**(62\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 3*z**3 - z**3 - 7*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.97 + -1.97. Let s = -517 + 21195\/41. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21390*u - 1288. Let h(s) = 3565*s - 224. What is -23*h(q) + 4*t(q)?\nAnswer: 3565*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 + 43. Suppose -2*l + 3*x + i = 0, -5*l = -5*x + 254 - 879. Let h be (-4)\/(-22) + 11836\/l. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 235*q - 2100. Determine y(7).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 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: Collect the terms in -27*t - t - 28*t.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056394354 rounded to seven decimal places?\nAnswer: 0.0000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -81630) + -24 + 13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from ioogomobooc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*3 + sqrt(7) - (sqrt(7) + (sqrt(7) - (-1 + sqrt(7))**2 - sqrt(7))*2).\nAnswer: -sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -25*d. Let r(f) = f**2 - f - 1. Let o(g) be the second derivative of 5*g**4\/12 - g**3 - 3*g**2 - 6*g. Let z(n) = o(n) - 6*r(n). What is z(l(t))?\nAnswer: -625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/11 + 51*r**4\/11 - 895*r**3\/11 + 6249*r**2\/11 - 15808*r\/11 + 12996\/11 = 0. What is r?\nAnswer: 2, 9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 + 12*o**4*s - o**3*p - 2*o**2*p*s + 391*o*p*s wrt o.\nAnswer: 120*o**2 + 288*o*s - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(60 + -52 + (-17)\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*v - 30, q + 2*v - 9 = -3*v. Let b be (-8)\/q + 4\/6. Let h be (-2 - 3\/(-5)) + (-7)\/(-5). Solve h = -c + b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(34*119\/7514).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwgg. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -76.2. Let n = k - -14. Let w = 0.1 - n. Sort 3, w, -4.\nAnswer: -4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/35 - (-136)\/80\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35 = -2*c, 2*s = -5*c + 7*s + 140. Suppose 0 = 2*k - c + 7. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 33. Let g = -22 - x. Let w = 48 - g. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 10753595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 423*u - 4567. Does 25 divide m(79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1210374028900*v**2 - 4400680*v + 4 = 0. What is v?\nAnswer: 1\/550085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5952196804 to the nearest integer?\nAnswer: 77150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1099 + -594. Let f = r + -505.00000446. Round f to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {i: 2, j: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6652 - 6652 - 33*o + 183*o)*(-o**2 + 3*o**2 - 3*o**2 + (4*o - 6*o + 3*o)*(-o - 1 + 1) + 3 - o**2 - 3 - 12*o**2 + 6*o**2 + 3*o**2).\nAnswer: -900*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**3\/3 + 2024*t**2\/3 + 8144*t\/3 + 2720 = 0.\nAnswer: -2, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 274, 2 in increasing order.\nAnswer: -2, 2, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-54)\/9 - 4\/1. Let u be 1*-3*(-4 + 5). Let s = 1 - u. Solve -1 = -s*y + x*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 divided by -211\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 13*j - 33. Let g be l(9). Let n be 8\/(-2) + (g - -153). Solve n = -15*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.902 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1089798 and 20?\nAnswer: 10897980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1.3, 0, -1\/9, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4536 = -30*g. Let t be ((-136)\/9)\/(-4) - 48\/g. Let h be (-1 - -1)\/((-4)\/(-2)). Solve h*z - t*z = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12029 - -15.102903427\nAnswer: 12044.102903427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 3*s - 3*s + (-1 - 3 + 2)*(-6*s + 3*s + 4*s) - 2*s + 0*s - 12*s + (2 - 3 - 1)*(-s - s + s) as x*s + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from {f: 8, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -757, -6015, -20253, -47953, -93597?\n\"Answer: -747*c**3 - 8*c**2 - 5*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-94)\/(-32) - 1925\/176.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let j = l - 2. Suppose 5*o + 0 - 75 = j. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggllgslgg. Give prob of sequence glll.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) 469 (c) 0.32 (d) -1\/2 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-385)\/(-22))\/(9\/6). Put -2, 1, g, -3 in decreasing order.\nAnswer: g, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303270991 or -303270992?\nAnswer: -303270992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5807526100 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.081 (b) 0.1 (c) 2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 920 = -644. What is the greatest common divisor of k and 690?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 4*d + 3*h + 4, -5*h = -3*d + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25899 and 1335.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 44. Determine x(30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031318 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*w - 9*w - 5724. Let g = 501 - w. List the prime factors of g.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 12*m**2 + 23*m + 39. Let u(a) = 3*a**2 + 5*a - 4. What is the remainder when u(-4) is divided by r(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*q = u, 4*q + 8 = 0. Solve -2 = 2*v, -9*m = -u*m - v - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -10. Suppose -3*v + 12 = 4*p + v, 0 = -5*p - 3*v + h. Let o be 8\/(-2) + ((-150)\/14)\/15 - -5. What is the second biggest value in 0, p, -25, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/228262 and 139\/12?\nAnswer: 1369572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420328 (base 10) to base 11.\nAnswer: -267887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 6 - (12 - (25 - 28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181918?\nAnswer: 2, 590959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3754 - 114 = 26*t. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2269879 - 0.227. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 * 814\nAnswer: 6919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h - 4. Let n be (8\/(-30))\/(h\/(-15)). Let v = 21.5 + -22. Which is the biggest value? (a) n (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-275)\/(-10)*18\/90*2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -466*l + 468*l - 267696, -2*g = -2*l + 267714. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (35 + -21 - 62).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgrrm. Give prob of sequence gr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -149374*y**2 - 4*y. Let h be m(4). Round h to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023050 is divided by 340970?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 54\/(-8))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, r: 2, a: 4, k: 3, u: 5}. What is prob of picking 2 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1689*u**3 - 37*u - 22?\nAnswer: 10134*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113818, 227664, 341536, 455434?\nAnswer: 569358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21041 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 236473?\nAnswer: -236430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 57*i + 4. Let w(g) = -2*g**2 + 55*g + 7. Give 3*r(p) - 2*w(p).\nAnswer: -2*p**2 + 61*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 549004?\nAnswer: 1647012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - 1\/3. Let b(a) = 2*a**3 + a + 2. Let q(p) = p**2 - 1. Let r(j) = o*b(j) - 2*q(j). Suppose 0 = 8*w - 3*w + 5. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-18)*(-18)\/4. Solve 0 = 4*m - 5*m + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36159103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/84 and 157\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 3*t**3 + 2*t**3)*(-6*t**2 - 2*t**2 + 5*t**2) + 2 - 2 - t**5 + (t**4 - t**4 - 4*t**4)*(3*t - 2*t + 0*t).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3451299 less than -17631?\nAnswer: -17621.6548701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616576413 to the power of 1\/2, to the nearest integer?\nAnswer: 40207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189758943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = 7. Let n = v - -18. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235543*v**2 + 1057557*v.\nAnswer: -471086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -k - 0*k + 4*f, 4*k + 5*f = 6. Solve 3*v - k = 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2051 + -13?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134.85 + -137.85. Let z(r) = r**2 - 6*r - 6. Let j be z(7). Which is the nearest to 0? (a) 0 (b) i (c) -5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38156080 divided by -165896\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -110 (c) -0.4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -77, -2\/13, 1\/4 in increasing order.\nAnswer: -77, -0.4, -2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 96931.396\nAnswer: -19386.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -94170132 rounded to the nearest 1000?\nAnswer: -94170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -3*p. What is the remainder when 23 is divided by 6\/(1\/p + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 556, 722, 892, 1066, 1244?\n\"Answer: 2*d**2 + 160*d + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/5 (c) -247 (d) 3 (e) -3 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-72))\/((-210)\/1400))\/((-15)\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d109d (base 15) in base 14?\nAnswer: -185a329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 8940?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 64730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 312330 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. What is the derivative of a*n**3 - 3 - 5*n**3 + 2 - 3 wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 4, e: 1, f: 1, i: 3}. What is prob of sequence rf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 7*r - 8. Let i be s(8). Let m be (i + 13\/(-2))*-10. Suppose -4*b = m - 681. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 + ((-56848)\/3094)\/44?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2 = n, n - 19 = -3*h - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39462.6962 rounded to the nearest ten?\nAnswer: -39460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.0167 + -111.9772. Let q = 1.75 + 135.25. Let d = v + q. Round d to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 - (10 - 16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v - 1\/8*v**4 - 2*v**2 - 1\/6*v**3 - 46. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*j**2 + 0 + 4\/9*j + 2\/3*j**4 - 8\/9*j**3 = 0 for j.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1220 and 23\/6344.\nAnswer: 31720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/6)\/((-6)\/86) and 147\/20 - (2 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 45 + 7 + 11*v - 11 + 26 + 10.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6)*-3 + 0. Sort k, -1, 4.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -116?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -468 - -471. Let y(b) be the third derivative of 4*b**2 + 0 - 1\/24*b**4 + 1\/3*b**k + 0*b. Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18710*2.\nAnswer: 37420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 108 = -158*n + 44 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21488024 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110010011011 (base 2) to base 15\nAnswer: e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.14, -95, 3, -2\/9?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167\/5 - 33. Let t = -336 + 2346\/7. Let f be ((-40)\/(-6) - 6)\/(1\/3). Which is the nearest to t? (a) f (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 63*d + 21 + 19 - 12. Let q be o(-22). Suppose 0 = -4*m - u + 373, 0*m - m - u = -q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s, -2*s = 3*q - 1005. Suppose 0 = -6*c + c + q. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-60)*5*(-2)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 31 - 20. Suppose -5*i = -4*k + 105, 2*k = 4*i + 16 + 44. Let l = t + k. What are the prime factors of l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 400 = -17. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457510157.\nAnswer: 3, 161945573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -0. Suppose 36 = b*x + 2*x. What is the smallest common multiple of 33 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 5, -4\/7, 27\/2, 9, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 + -1.2. Let o = -101 - -101.982. Let d = o - n. What is d rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - 21. Suppose 4*i - 5*t = 18, 0 = 4*t + t - 10. List the prime factors of s(i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6380\/435*9\/(-6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2. Let f(c) = 6*c + 4. Let j(g) = -g - 1. Suppose -2*n - 4 = 4*z - 0*n, -5*n - 4 = 4*z. Let h(b) = z*f(b) - 4*j(b). Give h(i(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759125102.\nAnswer: 2, 73, 1801, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19094880 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/18)\/a)\/a**(3\/10))\/((a\/((a\/(a**1*a))\/a)*a)\/(a\/(a**(-18)\/a))))**(-4\/11) assuming a is positive.\nAnswer: a**(-2636\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 706623212 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24237.94 minutes in nanoseconds?\nAnswer: 1454276400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 646754970 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13442 + -13408. Solve 10*v - y = 36 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4716)\/(-2358)*-11*1\/5\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14100)\/(-1316))\/(-25))\/(2\/154)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -665, -690, -737, -812, -921?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = 4*k. Suppose 1 = -t + k. Let y be 2299996 + t + -2 + 3. Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -37, -84, -157, -262, -405?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8)**10 assuming w is positive.\nAnswer: w**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:34 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*g = i - 7, 3 = 3*i + 3*g. Suppose -1 = -k - i, k - 161 = -5*c. What is the greatest common divisor of c and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 5. Suppose 25*o - 24 = 24*o. Suppose 3 - o = -7*b. What is the closest to i in 0.1, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*y - 3. Let l(i) = i**2 - 1. Let g(x) = 12 - 2*x + 13 - 3*x**2 + 16 - 39. Let z(s) = y*l(s) - g(s). Find the second derivative of z(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -142.8? (a) 5 (b) -2\/11 (c) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10973.349604 rounded to one decimal place?\nAnswer: -10973.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, b: 7}. Give prob of sequence www.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -101. Let j = 1.993 + -0.033. Let a = j + g. Are a and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -20.5.\nAnswer: 102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9441 and 33426385.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*d - 9. Solve -3*x = -4*p - 13, -d*x - p - p - 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**3 - 11*w**2 + 13*w - 11. Let s = -181 - -181. Let i(z) = -6 + s + 7 + 4*z**3 - 6 - 5*z**2 + 6*z. Give 13*i(b) - 6*n(b).\nAnswer: -2*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*g*z**3 - 112*g*z**2 - 14*g*z + 2*g + z**3 - 2*z**2 + z + 181 wrt z.\nAnswer: 966*g*z - 224*g + 6*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/7)*y))\/y*y**0)\/(y**1\/y**(-2))*(y\/(y*y*y**0*y*y))**(1\/4)\/(y**(1\/4))**(2\/15) assuming y is positive.\nAnswer: y**(-2129\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35542*v**2 + v**3 + v**3 - 35523*v**2 - 4*v**3 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:03 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 2*s - 2. Let x be u(2). Suppose -2*r = -x*r - 16. Let p(w) = 2*w + 1. Let l be p(1). What is the second smallest value in r, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4275701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than 44\/3865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/3 - q**2\/2 + q. Let f be 14\/(-8)*(6 + -2). Let r = 11 + f. Give m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15755 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the greatest common factor of 330 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-116) + -6*(-14)\/(-336)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 4*r**2 - 16 + 33.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 6*v + 4. Give o(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1173950 to the nearest ten thousand.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Let t(z) = 7*z - 10. Let n be t(5). Suppose w + 10 = u*w + r, 5*r = n. Solve 0 = -3*v + d + 18, -v = -0*v - w*d - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 63*f + 42 as y + t*f and give t.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31bb368 (base 13) to base 2\nAnswer: 111001111100101001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.088 - -0.488. Which is the nearest to k? (a) -1\/3 (b) -3\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21830297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176945.\nAnswer: 5, 43, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*u - 232704 = 167*u for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2004077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -378*t**2 - 29098*t + 621. Determine a(-77).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -191*i - 184 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose -2*y - 236 = -32*y - 29*y. Solve 3*v + d = y*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0*(0 + -1). Let f = -60257\/10 - -6015. Find the common denominator of f and 0\/v + 158\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22901.8 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -167, -176, -185?\n\"Answer: -9*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -3\/5, 0, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2072*p = -993*p + 2307 + 43668 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, -184 in decreasing order.\nAnswer: 1\/2, 0, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130\/6 + (-32)\/(-96). Suppose -d*r + 57 = -3*r. Solve r*u = -0 + 15, -5*q - 30 = -4*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46026 (base 11) in base 6?\nAnswer: -1232122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.43 + 7.43. What is the smallest value in -0.5, z, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/288)\/((-1840)\/180).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**(-22)))\/x**(2\/13))\/(x**(-1\/2))**10)**(5\/6) assuming x is positive.\nAnswer: x**(905\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19151\/7120 - 1\/445. Let t = 6989\/6 - 1160. What is the common denominator of t and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1729 - 3446 + 21*m**2 - 4*m + 1721. Does 12 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64690062, -64690060, -64690058, -64690056?\n\"Answer: 2*c - 64690064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13.07. Let u = 0.23 - z. Let a = -3.5 + 4. Sort u, 0, a.\nAnswer: 0, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:22 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ba (base 14) in base 7?\nAnswer: -5423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let k be (q - (-6 + 3)) + -1. Suppose -h + 5 = -k*h. Solve p = 6*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69\/6 + -10)\/(21*(-22)\/14476)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 1, v: 1, x: 2, r: 4}. Give prob of sequence urv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 17 + -14 + -1 + -6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.6276ml in litres?\nAnswer: 0.6446276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adyyyeehyyafdf. Give prob of sequence fea.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, k: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -13*q**4\/6 + 85*q. Let j(g) = -7*g + g + 9*g. Determine m(j(v)).\nAnswer: -234*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 minus -707?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/15 - 48*l - 27582248\/15 = 0. Calculate l.\nAnswer: -3538, 3898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/88)\/((-7)\/(-12)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1663*b**3*t*y**3 - 2*b**3*t*y - 4*b**2*t*y**3 + 2*b*t + 72*t*y wrt y?\nAnswer: -9978*b**3*t*y - 24*b**2*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*k**2 - 50 + 52 - 4*k - 223*k**2 - 348*k**2 as c*k**2 + b*k + s and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 20\/4 - 2204. Let h = p + 1320. Let l = -434 - h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*r**2 + 39*r**2 - 10*r**2 + r**3)*(4*r + 2*r - 3*r) to z*r**2 + p*r + c*r**3 + x*r**4 + a and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:55 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8782 + 396. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 2*v, -5*n = -4*v + 3*v - 7. Suppose 8*h = v*h + 65. Suppose 52 = h*o - 9*o. Calculate the remainder when 62 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6077239 or -6077240?\nAnswer: -6077239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n**2 + 4*n + n**2 + n - 2. Let u be 3\/1 - (5 + 4). What are the prime factors of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026360104 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3396461mm to meters.\nAnswer: 0.0003396461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > -4\/3493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 24. Let y(a) = 6798*a. Determine y(o(s)).\nAnswer: 33990*s**2 - 163152","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51318687?\nAnswer: 3, 7, 2443747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 967201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255816308?\nAnswer: 2, 11, 29, 200483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d - 10. Let n(f) = -f**2 + 7*f + 1. Let g be n(8). Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2688 + -1525. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-434)\/(-9548))\/(1\/33). What is the nearest to -2\/5 in h, -131, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*k*r + a**3*k + 3*a**3 - 10*a**2*k - a*k - 2*k*r - 46*k + r wrt a.\nAnswer: 18*a*k*r + 6*a*k + 18*a - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-304)\/(-3) + (-6)\/(-9)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - -21. Let y = o + -14. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y**(-1\/5))\/y)\/y*y))**(2\/27)*(y\/(y**(2\/43)\/y))**(3\/35) assuming y is positive.\nAnswer: y**(496\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 6*p + 5. Let f be z(-5). Suppose f = v + 3*v - 8. Solve v*o + 5*k = -17, -4*o + 41 = -2*k - 3*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456437 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29829 * -0.1.\nAnswer: 0.029829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 93*g**2 + 3*g + 1. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3286 divided by 343?\nAnswer: -3286\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/959488 and -79\/22?\nAnswer: 10554368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 + 428*q**2 - 5822*q + 18160 = 0. Calculate q.\nAnswer: -227, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10d (base 16) to base 7\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*n - 2*n - 12 = c + c, -5*c - 179 = 23*n - 149 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18493 is divided by 1232?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Let h = -312 + 330. Let q = h - u. What is the remainder when 39 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 9*l**2 - 23*l + 16. Let a be ((-216)\/(-180))\/((-2)\/(-15)). What are the prime factors of n(a)?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 1, y: 2, a: 5, x: 4}. Give prob of sequence yay.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (18\/(-126) - 4)\/((-2)\/742)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2554*g + 367763. Determine w(-144).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s*s*s**2*(s\/s**(-1))**(-10\/7))**(-27) assuming s is positive.\nAnswer: s**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9010217?\nAnswer: 367, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.475 - 0.045. Let j = y - 0.48. What is the third biggest value in j, 1, 5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-9)\/(-6) - 2). Let i = 227 - -501. Suppose -i + 196 = -q*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1227, -4607, -10167, -17901, -27803?\n\"Answer: p**3 - 1096*p**2 - 99*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 51*d = 0. What is d?\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1576 + -17317\/11. Calculate the common denominator of 129\/18*(-27)\/(-45) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69, 123, 173, 219, 261?\n\"Answer: -2*d**2 + 60*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 262962057?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4088 + -4033. Calculate the remainder when 549 is divided by r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 2*q**2\/3 - q\/3.\nAnswer: -q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2018, -8101, -18230, -32399, -50602, -72833, -99086, -129355?\nAnswer: -163634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 11. Let l = c - -13.944. What is l rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-s - 1 + 2*s + 0) + (-728 - 327 - 528)*(0 + 0 - s).\nAnswer: 1585*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0653 - -4.0653. Put -5, -11, w, 5 in increasing order.\nAnswer: -11, -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/457905 and 3\/6775?\nAnswer: 620461275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*k - 7482 = -6438 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 330903.4ng in kilograms?\nAnswer: 0.0000003309034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 1126?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -51. Let j be (-125)\/r - (-2 + 5). Let s(f) = -j*f + 10*f + 11*f. Let p(c) = -5*c**2. Calculate s(p(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 6b0c6?\nAnswer: -6b0c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/12 - l**2\/2 - 2*l. Let x(v) be the first derivative of r(v). Let z(p) = 5*p. Give x(z(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65070124 a multiple of 3959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 17 = 3*z, -14 = 14318*h - 14320*h - 2*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(3 - 56\/20). Let z be 3 + (-4 - 3)*1. Let g be z - ((1 - -1) + -2). Is w bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183100596?\nAnswer: 2, 41, 13311589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 4*d + 1. Let p be y(3). Let x be (-1 - -4)\/((-15)\/310). Let h be 1*4 + x\/31. What is the third biggest value in p, h, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781, 7098, 24469, 58420, 114477, 198166, 315013?\nAnswer: 470544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 421716, 843434, 1265152, 1686870?\n\"Answer: 421718*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34174876775945 - -2.4\nAnswer: 34174876775947.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilogram in grams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4997 - 6331 = -23*v. Let b(h) = -2*h**3 + 3*h**2 + 3*h + 13. Let k be b(-4). Calculate the highest common divisor of v and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.307, 4\/3, 0.4, -7\/3, -1\/3 in descending order.\nAnswer: 4\/3, 0.4, 0.307, -1\/3, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2124 and 2360.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23218 and 36062?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 5. Let w = -31 - -38. Suppose -9 - w = -4*v. Suppose -2*c = 8, 5*c + v = 3*y + c. Calculate s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, t: 4, d: 1, k: 8}. What is prob of picking 2 t and 1 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(4) + (sqrt(48)\/sqrt(2))\/sqrt(6) + (sqrt(196)*1 - sqrt(4) - sqrt(4)) + sqrt(4))\/(2*sqrt(72))*-3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 18. Suppose g + j = 17, -3*g + 0*j + 46 = 2*j. Let z = x - g. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03301 != -0.5612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -16, -104, 8, 3.\nAnswer: -104, -16, -3, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/15 - 0) + (-922)\/10\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 + 117*l\/4 - 13689\/8.\nAnswer: -(l - 117)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 613549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 103, 4, 37, -1, -2, 8 in decreasing order.\nAnswer: 103, 37, 8, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/10 - 11*y**4\/12 + 2*y**3\/3 + 15*y**2\/2 + 41*y + 2. Is c(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2 - 2. Solve -5*c + 0*c = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*x + 105, 0*x = -x + 4*d + 47. Suppose 0 = -3*h + 6. Let r(p) = 2*p + 1. Let t be r(h). Solve t*l - 6 = -x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.2 from -13.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -10222700 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, -16, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87516507 is divided by 173300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -5*y + 2*a + 5, a = 5*y + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 - p**2 + 4*p + 1. Suppose 8*s + 3 = 7*s. Calculate the remainder when h(s) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 189271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2876 is divided by -120 + 123 + ((-2)\/(-7) - (-2955)\/21)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -711 - -717. Let d(l) be the third derivative of 0*l**4 + 0*l + 6*l**2 - 3\/112*l**8 + 0*l**3 + 0*l**5 + 1\/20*l**p + 1\/70*l**7 + 0. Factor d(u).\nAnswer: -3*u**3*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-60)*12\/(-75)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m + 4. Give y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/30 + 5*b**2 - 800*b - 1. Let w(h) = 4*h**2 + 194*h. What is w(d(r))?\nAnswer: 16*r**4 + 388*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 3 - 6 - (-1 + 4). Solve t - 3*t + 30 = -5*y, m*y = 5*t - 33 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y + 138*y + 2688 + 187 = 146*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 - d**4 - 7*d**3 + d**2 + 6*d = 0. What is d?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = 4*d, 4*f = 5*d - 13 - 5. Suppose -k = -d*k - 4*h - 27, 21 = -2*k - 5*h. Let q(o) = -2*o. Give q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y - 18. Let l = -3 - y. What is the highest common divisor of 24 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + 3*q - 4, 3*q - 15 = 0. What is the remainder when (8\/s)\/(4\/24) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1134 by -5.\nAnswer: 1134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18713467 and -3.\nAnswer: 56140401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l. Let p = 702 + -711. Let n(s) = -27*s**2 - 9*s - 9. Let j(k) = 2 + 3*k - 7*k - 6 - 13*k**2. Let w(h) = p*j(h) + 4*n(h). Calculate w(q(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 4\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0444 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 2. Let c be 6*((-84)\/8 - -4). Let j = 37 + c. Determine p(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105911*j**5 + 7*j**3*y - 2*j**2 + 366383*j*y + j - 2*y - 5 wrt j.\nAnswer: -2118220*j**3 + 42*j*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151116\/(-28784)*(-48)\/(-91)?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6521486.\nAnswer: 2, 1523, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3*(-70)\/(-21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-10)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -701407852 to the nearest ten thousand.\nAnswer: -701410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/630 + 7*v**6\/120 + 17*v**5\/20 + 427*v**4\/72 + 49*v**3\/3 + 22*v**2. Solve o(u) = 0.\nAnswer: -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1214, 4820, 10826, 19232?\nAnswer: 30038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*y - 4*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*-2*sqrt(180).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = -3*o + 110, -2*j = -5*o - 198. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -108*f**2 + 81*f + 81. Let q(g) = g**2 - g - 1. Let u(a) = -m(a) - 81*q(a). Let s(h) = -4*h**2. Determine s(u(j)).\nAnswer: -2916*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -23*x + 39. Give j(14).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130385, 260518, 390651?\nAnswer: 520784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22958277401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171919, -171918, -171917?\nAnswer: -171916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 924\/46 + 70\/(-805). Solve 3 - 15 = 3*p, -l = -k + 5*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 2*i + 4*i)*(0*i + 0*i - i**3) + i**4 + 2*i**2 - 2*i**2 + 34*i**4 - 45*i**4 + 26*i**4 to v*i + q*i**3 + a*i**4 + j*i**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12) - -6*(sqrt(17) + sqrt(68)\/sqrt(4)))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 92143000 to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 divided by -6.\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*d**4 + 916*d**3 - 916*d**3 + (-2*d**3 + 0 + 0)*(3 - 3 - d) - 4 + 4 - d**4 - d**4 + 0*d**4 + 2*d**4 - d**4 - d**4 + 0*d**4 + d**4 + 3*d**4 + 6*d**4.\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9611639?\nAnswer: 269, 35731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 282 + 966 = 0. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 2046427?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 417*g. Let n(u) = 2*u**2. Give m(n(z)).\nAnswer: 834*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -19*p**3\/3 - 2. Let b(s) = 0*s + 3*s - 4*s - 6*s + 5*s. Give b(z(l)).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - 7\/(-1) - 0. Calculate the highest common factor of r and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 + v - 1. Let d(s) = s + 14. Let j be d(-7). Let a(l) = j*l - 4 + 2*l**2 - l**2 + 5. Let i be a(-7). Determine o(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/t**23)\/((t**(-2\/11)\/t)\/t*t*t*(t*(t*t*(t**(-9)\/t*t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(-771\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27254993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*a + 101099992, p - 4*a = 5*p - 404400008. Round p to the nearest one million.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160575080 rounded to the nearest one million?\nAnswer: -161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*l**4 + 1487*h*l**3 + 95*h*l**2 + 6*l**3 + 146*l**2 wrt l.\nAnswer: 48*h*l + 8922*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -0.051 (c) -3\/2 (d) 0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 7 = -3*z. What is the smallest common multiple of 3 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, -129123, 3\/8 in decreasing order.\nAnswer: 3\/8, -0.2, -1, -129123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43882?\nAnswer: 2, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 80 = u. Suppose -m = -0 - 3, 0 = -u*p + 4*m + 292. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*w - 133, 5*w + 0*w = -10. Suppose 6*l - 3*l - j = 0. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2620 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, 4, 1 in decreasing order.\nAnswer: 4, 1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**4\/4 - 6*l + 6. Find the first derivative of g(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.1 (c) 4\/3 (d) 48027 (e) 1\/3 (f) -5 (g) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2 + 7*t + 3. Let j = 14 + -21. Let c be a(j). Let g(n) = 2*n**2 - 2*n - 3. Let m(p) = -2*p**2 + 2*p + 2. What is c*g(k) + 4*m(k)?\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - 49*q + 7. What is d(-7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -64. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*y + 1 = 0, -2*j - 4*y = j + 5. Let t be (2\/3)\/((-1)\/j). Suppose -2*o - h = 3, 0 = -2*o - 20*h + 22*h. Sort 3, t, o.\nAnswer: o, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332 - 11?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m*m**(2\/25)))\/m*m)\/m)\/(m*m**(-8)))\/((m\/(m\/m**8)*m)\/m**(2\/5)))**(-45) assuming m is positive.\nAnswer: m**(603\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*k - 3*i = 1, -4*k - 3*i + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose 0 = -t*w + 5*w - 15. Suppose -2*o + 5 = -w. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 1171826724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/2? (a) 1\/12 (b) -1\/2 (c) -355 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2789905732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 140 = 172. What is the highest common factor of w and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 147*l**4 + 1991*l**3 + 13755*l**2 = 0.\nAnswer: -5, 0, 21, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -7)\/7*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272229386 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*s + 6, 12*s - 9*s - 6 = -5*r. Put s, -8, 6, 3 in descending order.\nAnswer: 6, 3, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5290405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 65672 = 5*q - 21993, b - 4*q - 17558 = 0. List the prime factors of b.\nAnswer: 2, 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 22*z**2 - 106*z**2 - 18124*z**3 - 8386*z**3.\nAnswer: -26510*z**3 - 84*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 47832?\nAnswer: 813144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 + z**5\/20 + z**4\/12 + z**3\/2 - z**2. Let v be (-31*12\/(-372))\/(1\/3). Determine s(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10243867 rounded to 3 dps?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Let x be w\/(-24) - 29\/(-4). Let s(l) = l**2 - 7*l + 9. Calculate the remainder when 26 is divided by s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 521?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.926 + -52. Let z = -163088 + 163088.074063. Let j = z + b. Round j to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:36 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*(u\/(u*u\/(u*u\/u**1*u)))\/u*(u*u**(-6)*u*u*u)\/((u*u**(3\/8)*u)\/u))**(1\/2) assuming u is positive.\nAnswer: u**(-227\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {n: 1, a: 1, d: 3, c: 2, h: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0904 and -0.021?\nAnswer: 0.1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 - 7 + 7 + (-2*k + 2*k - 2*k**2)*(-39*k + 203*k - 35*k).\nAnswer: -263*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/26730 and 19\/5445.\nAnswer: 294030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 869266985 to the nearest one million.\nAnswer: 869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-3))\/1*29. What is the highest common factor of d and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5796)\/(-63))\/46*(((-3)\/1)\/(-3))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -422072, -844147, -1266222, -1688297?\n\"Answer: -422075*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-4)\/(-24)). Suppose 4*p + 2*i = 4*i - 2, 0 = 3*p - 2*i. Let v = p - -4. Solve -v*u + 3 = -5*a - r, -u - 8 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 3. Let f(z) = -z**2 + 12*z + 19. Let u be f(13). Let h be ((-52)\/u)\/(4\/(-6)). Let y(v) = 4*v + 6. What is h*q(m) + 6*y(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {j: 2, p: 8, u: 5, d: 2, y: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 278*v - 2. Let l(o) = o + 52. Give f(l(r)).\nAnswer: 278*r + 14454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-3\/5)*o*o*o*o**(-1\/11))**(2\/61)\/(o**(-4\/7)*o**(-4)) assuming o is positive.\nAnswer: o**(110678\/23485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72 and 81.3782?\nAnswer: -5859.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14329*j**3 - 11*j**2 + 11*j + 88. Let v(g) = -11208144*g**3 + 8604*g**2 - 8604*g - 68832. What is 8604*f(z) + 11*v(z)?\nAnswer: -2868*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1161869 or -1161936?\nAnswer: -1161936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = -51 + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22477309 - -3?\nAnswer: -22477306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.77 - -0.17. Which is the third biggest value? (a) 2 (b) r (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34907 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2 + -1 + sqrt(396)) + 0)*5)**2.\nAnswer: -32400*sqrt(11) + 364500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v - 7. Let c be v + 2 + 2 + 0. Suppose -2*t + 6 = 5*u + c*t, -u - 2*t = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 22. Is h <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 29*p**2 - 5*p**2 + 7*p**2.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**6\/16 + 21*j**5\/20 + 45*j**4\/8 + 13*j**3 + 12*j**2 + 179. Suppose h(t) = 0. Calculate t.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383 by -16.\nAnswer: 383\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 24. Let r be u(-6). Let s = 4 + -3.4. Let g = s - 1.6. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*l**3 - 3*l**4 - 2068 - 2070 + 4137 + l as b*l + v*l**3 + n*l**4 + c + j*l**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -5, -26, -65, -128?\n\"Answer: -y**3 - 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s**3 - 45*s**2 + 21*s - 17. Let u(m) = -8*m**3 + 24*m**2 - 12*m + 9. Give 4*j(q) + 7*u(q).\nAnswer: 4*q**3 - 12*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 5*z - 2*z + (7*z + 7*z - 4*z)*(-7 + 18 + 2) + (-z - 4 + 4)*(2 + 4 - 7).\nAnswer: 133*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 49.63 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d - 0, -5*p - 4*d = -897. Let n = -143 + p. What is the remainder when 151 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*m**2\/3 + 20*m\/3 - 2\/3.\nAnswer: 2*(m + 1)*(11*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g - 16. Let r be v(4). What is the highest common divisor of 32 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 32*f - 2*f**3 - 44*f - 4 + 7*f**2 + 14*f to j*f**2 + w*f + v*f**3 + g and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -856 + 855 - 328*f + 2*f**3 - 6*f**4 + 8*f**4 + f**3 as o*f + j*f**4 + v*f**2 + d*f**3 + i and give o.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftvtvvvtvftv. Give prob of picking 1 f and 1 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 209?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = -2*v, -v = 2*f - 0*f - 22. Suppose 11*c = 4 + v. Let d = 0 - 3. Sort d, 0, c in decreasing order.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**3 - 34*w**2 + 4*w + 4. Let u(a) = 4*a**3 - 36*a**2 + 3*a + 5. Let t(c) = 3*p(c) - 4*u(c). Factor t(x).\nAnswer: 2*(x + 2)*(2*x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -56*w + 35. List the prime factors of v(-4).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6269128897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1449)\/87906)\/((-2)\/(-14))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82b - -998?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -3)\/((-18)\/(-228)). Let y = n + 830\/33. Let g = 0.2 + 0. What is the smallest value in 3, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*i = 48, -50*d - 2*i = -55*d - 25 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013402207 to six dps.\nAnswer: -0.013402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*d + 9 = 3*q + 177*d, -4*d + 18 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b - 3*j + 4, -2*b = 2*j. Suppose 15 = -3*r - b*r. Put 0, -2, r in decreasing order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cb434 + 1?\nAnswer: 3cb435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23623 is divided by 1309.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 1, z: 3, d: 3, y: 1}. Give prob of sequence zu.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1044 and 30835149.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b - 84. Suppose 11 = -5*n + 1. Let j(k) = -4*k + 17. Let q(w) = n*v(w) - 11*j(w). What is the derivative of q(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47665 (base 10) in base 9?\nAnswer: 72341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93294 = -5*l - 137*l. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 1, x: 3, v: 2, j: 1, h: 4}. Give prob of sequence xxvv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 287661705.\nAnswer: 287661706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11011 - -24143?\nAnswer: 40204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.189 + 10. Let a = -30.8209097 - -31.0099. Let i = p + a. What is i rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.5, -27 in descending order.\nAnswer: 8, -0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -151 (c) -20\/1899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 - -2116. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19\/4, -2, -277, -3 in descending order.\nAnswer: 5, 19\/4, -2, -3, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 7:34 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let k(b) = 2*b + 12. Let p(i) = k(i) - 5*w(i). Let f be p(-3). Let q be (6\/f)\/(1\/(-3)). Solve -4*l - q*a + 20 = 0, -l + 12 + 0 = 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33279\/65 - -512. Let p = 188\/455 + k. Determine m, given that 3*m + 0 - p*m**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + 2 + -39 + 42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**5 - 7*u**2 + 0*u**5 + u**5 wrt u?\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119565*f + 59792*f + 59791*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -464503?\nAnswer: 2\/464503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 24 = 0, f + 4*f - f - 4*c + 7*c = 43 + 43 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2474 + -2462. Suppose 6 = -0*m - 2*m. Let c be 0 + (0 - (-1 + m)). Put 0, v, c, -3\/7 in descending order.\nAnswer: v, c, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 625785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035186 rounded to 6 dps?\nAnswer: 0.000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -260, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 5*o - 14, -67*q = -72*q + 2*o + 22 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7521 or -99?\nAnswer: -7521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 0*a**2 + 2*a**2 + 0*a**2 - 3*a**2. What is q(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(90)\/(sqrt(6) + sqrt(6) + -1*sqrt(6)) + -2*sqrt(735) + sqrt(735) + sqrt(735))\/(1*sqrt(3)*-2 + sqrt(324)\/sqrt(12)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, 0 in descending order.\nAnswer: 3\/7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(700) + ((sqrt(700) - (1 + sqrt(700))) + sqrt(700))*-2)*5)**2.\nAnswer: -2000*sqrt(7) + 35200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/30 + s**4\/6 + 2*s**3\/3 - 8*s**2\/3 - 190*s. Solve o(r) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*h + 55 = 0, -34*l + 29*l - 3*h + 311 = 0. Calculate the greatest common factor of 608 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 - 0.34. Let g = 0.85 + f. Is 0.2 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 6. Let j = m - -3. Put -1, 3, j in decreasing order.\nAnswer: 3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7468.39 - -7522. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016649113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**3 + 4*w**3 - 2*w**3 + (w - w - w**2)*(923*w + 820*w - 721*w + (-1 + 4 - 2)*(-2*w - w + w)).\nAnswer: -1025*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0 - 2*x + 1 - 19 + 5 - 8. Let h(m) = 79*m. Determine h(f(z)).\nAnswer: -158*z - 1659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 2 - 2 - 5 + 2*s + 5 + (1 + 4 - 7)*(-s + 3 - 3) + 0*s + 6*s + 2*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 * 0.2.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*i + 14*i. Let o be (-1)\/(0 + (i - -4)). Sort -4, -5, o.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**2 + 18*a**2 - 40*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 16) to base 11.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -550\/5263 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and 174?\nAnswer: -1.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68025 and 90700.\nAnswer: 272100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y - 5. Give c(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2545, -2619, -2693, -2767, -2841, -2915?\n\"Answer: -74*b - 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 - 17*a**2 + 44*a - 28 = 0. What is a?\nAnswer: 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33476 and 566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -8.6 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) -7 (c) 0 (d) -2101 (e) 1\/7 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -158ab3 (base 13) to base 2\nAnswer: -10000010010000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1223202 + 3?\nAnswer: -1223144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/42 + 1618\/14. What is the greatest common divisor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 5*d - 6. Let f(v) = v**2 + 7*v + 4. Give 2*f(s) + 3*x(s).\nAnswer: -4*s**2 - s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 127971?\nAnswer: 1407681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(11))*-1*-1.\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-15)\/(-45))\/((-6)\/(-342)*-3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 0\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 346 + -345. Solve -4*u = d - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/152 and 91\/20.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 2*b**2 + 3*b**2 - 2*b**2 + 0*b**2 - 2*b**2 + 0*b**2 - b**2 + 0*b**2 + (b + 2*b - 5*b)*(2*b + 3 - 3).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or -154278\/737?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*w**3*z**2 - 195*l**3*w**3*z + 2*l**3 - 51*l*w**2*z - 3*w**2*z**2 - z**2 wrt w.\nAnswer: 18*l**3*z**2 - 1170*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a (base 12) in base 11?\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 0.02. Let a = -0.037 + 0.137. Which is bigger: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6650 (base 7) to base 15\nAnswer: a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 3*x - 7. Suppose 3*o = 4*m - 76, o + 4*o + 4*m = -148. Let n = 14 + o. Let a(i) = -i**3 - i + 2. Determine n*a(p) - 4*d(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331) + 0 + 0)*1*2 + -1)**2.\nAnswer: -88*sqrt(11) + 21297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58\/9? (a) -3 (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 978 = -4*t, 0 = 9*j - 10*j + 2. List the prime factors of t.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000514821165 rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000588379 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 2*t + 6. Let j be k(-4). Suppose -1935 = -4*w - c, -3*w - 7*c + 10*c + 1440 = 0. What is the greatest common factor of j and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 40*o**2 - 352*o - 123. Let b(n) = 19*n**2 - 183*n - 62. Let q(p) = -9*b(p) + 4*g(p). Factor q(x).\nAnswer: -(x - 22)*(11*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1702 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-6*q - 48 + 48) + (-4*q + q + q)*(-3 + 7 - 2).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/720 - o**3 - 6. Let a(w) be the third derivative of n(w). Factor a(v).\nAnswer: -v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -944? (a) -15 (b) 0 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by 94160.\nAnswer: 29\/11770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u**5 - 2)*(-3 + 4 - 3)*(12 - 1 + 10).\nAnswer: -84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*p - 2 - 3 + 2*p**2)*(2*p - 3 + 3) in the form z*p**3 + t*p + l + o*p**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(l + l - 3*l)*(-7*l**3 + 2*l**3 + 2*l**3) - 3 + 3 - l**4.\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/14941936 and -31\/8.\nAnswer: 14941936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - z)*(z + 1 - 1) - 6*z**2 + z - z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*5*(sqrt(1872) + 0) + -5*(sqrt(78)*1*-2)\/(sqrt(24)\/sqrt(4)*-6).\nAnswer: -365*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14297 is divided by 1090?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91129183 to the nearest integer?\nAnswer: 9546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8144732 plus -0.71309?\nAnswer: -8144732.71309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:51 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - -1. What is the remainder when x is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u - 1273 + 8917. What is the greatest common factor of 126 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(1 + 0 + 0) + 1 - 2 + 2 - 10 - 10 + 5)*(-3*b**2 - 2*b + 2*b)*(-2*b + b - 4*b).\nAnswer: -225*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66\/31 + 3653\/1643. Let y = -300\/371 + d. Let p = -3\/14 - y. Which is smaller: p or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 12033?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 minus 146272434?\nAnswer: -146272479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.16 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 425142035 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 14*p. Let d be q(3). Suppose d*m - 52 = -7*m. Solve -3 = -m*x + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - p - 9. Let x be h(-7). Let t be (-2)\/(-5) - (-5)\/(-25). Is x less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -32*g**3 + 16*g + 6. Let k(d) = -61*d**3 + 31*d + 11. Calculate 6*k(y) - 11*x(y).\nAnswer: -14*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*u**5 + 15*u**3 - 2643*u?\nAnswer: -1500*u**3 + 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37968504, -37968505, -37968506, -37968507?\nAnswer: -37968508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 8*r - 4. What is the remainder when 2*(-3)\/(-2) + 1 is divided by q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10865, -10867, -10869?\nAnswer: -10871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6975395 divided by -1395079\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.7 - 64. Let q = l - 3.7. Sort q, 0.06, 1 in increasing order.\nAnswer: q, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 2*u + 525, 92 = q - 3*u. Let n = -1169 + 1402. Suppose 5*h = n + q. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21\/(-35))\/((-21)\/175). Let b(d) = 705*d - 5*d**2 - 1430*d + d**3 + h - 8*d**2 + 710*d. Determine b(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 3*t. Suppose -y + 0 + t = 0. Solve 3*n + 10 = y*f - n, 5*n = 4*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 5.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8618, 8643, 8668, 8693?\n\"Answer: 25*g + 8593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus -6394.3?\nAnswer: -6326.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1298183894.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a**4\/7 - 554*a**3\/7 - 568*a**2 - 6184*a\/7 - 1184\/7 = 0. What is a?\nAnswer: -4, -2, -2\/9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6698775?\nAnswer: 3, 5, 89317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 2*h - 4. Let w(o) = 2*o**2 - 16*o - 36. Give 9*s(t) - w(t).\nAnswer: -11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 318 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 400*i - 133 - 76\/3*i**3 - 160*i**2 - i**4. Factor z(f).\nAnswer: -4*(f - 1)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29122, 58251, 87378, 116503, 145626, 174747, 203866?\nAnswer: 232983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = y, 2*h - 7*h = -2*y - 5. Solve 0 = h*r + 15 - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from eeheetththet.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:59 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026 a factor of 44016545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:13 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 369*f**2 + 2170*f + 2911. Determine g(363).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/4, -9, 0.2, 3 in descending order.\nAnswer: 3, 2\/5, 1\/4, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425154, -850002, -1274850, -1699698, -2124546?\nAnswer: -2549394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1115*s**2 - 3*s - 1122*s**2 + 3*s. Let y(t) = -5*t**2. Give y(a(u)).\nAnswer: -245*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Let x = d - -1. Let b be 0 + x + -4 + 11. Solve b*l + 35 = -5*v + 5*l, 20 = -2*v - 5*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a factor of 225165463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 - i**3\/3 - 2*i**2. Let l = -14 - -22. Let b(k) = 3*k - 5. Determine l*z(y) - 3*b(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 699 - 699.0000628. What is t rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3109\/15 - 422\/3. Let t = o + -67. Let x = -7 + 5. What is the second smallest value in x, t, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2013 (base 7) to base 5\nAnswer: -10241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06062 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292398670?\nAnswer: 2, 5, 29239867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -919*o**3 + 2*o - 4*o**2 - 365 + 917*o**3 + o + 68 in the form u + s*o + y*o**3 + r*o**2 and give u.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*u - 2 + 255*u - 214*u as x + m*u and give m.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*4\/(-15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + f**4 + 0*f**4 + (4 + 1 - 4)*(2*f**4 - 5*f**4 + 2*f**4) - 2*f**2 - f**4 + 2*f**2)*(4*f - 148*f - 2247 + 2247).\nAnswer: 432*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62052*-9.3.\nAnswer: -577083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10017121 divided by 1\nAnswer: 10017121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*l - 15, 12 = 43*g - 47*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadaaaqcadaq. Give prob of picking 1 q and 1 a.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.774048985 - 25.774. What is s rounded to seven decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1493 + 3485. Suppose -19*d + n = -5171. What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 21*c + 135. What are the prime factors of r(15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 4*s**2 + 5. Let k be t(-4). Suppose -k*w = -w. Suppose 0*v - 3*v + 6 = w. Solve 3*u + 4*o = -v*u + 26, 0 = -3*o + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28754 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 6960*f**2 - 8*f - 27840.\nAnswer: 2*(f - 2)*(f + 2)*(f + 3480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159794 + 2?\nAnswer: -159792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/284 - -845\/1988. What is the second smallest value in 3\/2, p, 1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 2\/(-15)*-20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27207558 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)*z))**(2\/45))**(-1\/14)*(z*z**(-1\/9)*z*z*z*z**(-1\/3))\/(z*z**3*z*z**(1\/6)) assuming z is positive.\nAnswer: z**(-113\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-2)\/3*-1. Suppose -2*a = i*a + 2*u + 70, -4*a = -u + 85. What are the prime factors of (-58)\/(-5) - 8\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803083906 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**8\/1120 - 11*p**7\/840 + 13*p**6\/240 - p**5\/10 - 7*p**4\/4 - 11*p. Let a(i) be the third derivative of y(i). Factor a(u).\nAnswer: 3*(u - 4)*(u - 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26854015 to the power of 1\/2, to the nearest integer?\nAnswer: 5182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -24*v**2 + 23*v + 125. Determine z(-5).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from aaxxaaxxxa.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsscmmqmtcmq. What is prob of sequence qm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -79, -129, -197, -289, -411?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8130 + 8132. Let d(n) be the first derivative of -n**4\/4 + n**2\/2 - n - 6. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u + 758. Let k(v) = -7*v - 763. What is -4*d(b) - 3*k(b)?\nAnswer: -3*b - 743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 15*r**2 - 222*r - 1632. What is a(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-4 + 5)*-37. Let z = -120 + b. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1171*o**2 - 667*o - 9. Let k(g) = 293*g**2 + 167*g + 2. Let c(d) = -9*k(d) - 2*x(d). Find the second derivative of c(z) wrt z.\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -3, -2\/7, 24\/5, 3.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/17 + 5018*w**2\/17 + 313758*w\/17 + 1951110\/17 = 0.\nAnswer: -2445, -57, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243255413 to seven dps.\nAnswer: 0.0002433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*w - 737 + 26 + 312 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 3*x - 1. What is c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*o + 72286 - 68038 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 60*q**2 - 4748*q + 671. Determine h(79).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 + 3*d - 3. Let b be q(-4). Does 6 divide (63\/(-6))\/b*24\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3 - 5) + (-335)\/67.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.730919011 and 3.\nAnswer: 2.269080989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10763892.\nAnswer: 2, 3, 37, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.4343 and 0.7.\nAnswer: 15.00401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18335 is divided by 1348.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*x + 18 = -1366*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 168 = 0. Suppose -2*n + x = n. Suppose -5*f + 30 = 4*m + m, -4*f = 5*m - n. Let u(d) = d. What is u(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 127821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 16608*o**2 + 34428330*o + 207168300.\nAnswer: 2*(o - 4155)**2*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 3}. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -29, -25?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(4 + -2). Let a be 1*-2*r\/2. What is the remainder when 27 is divided by a\/(-2*3\/(-60))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -67. Let f = -1\/132 - 74\/33. Let w = f + 2. Put g, w, -1 in decreasing order.\nAnswer: g, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f*f*f**(2\/5))**(-7) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) 0 (d) -2.3 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 22*u - 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 4*q**3)*(-2*q**2 - 2 + 2) + 20*q**5 - 2*q**5 - 2*q**5 + 0*q**5 + 0*q**5 - q**5 + (q**3 - 2*q**3 + 0*q**3)*(0*q**2 + 0*q**2 + q**2).\nAnswer: 22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*w**3 - 103*w**3 - 101*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5)\/((-19888)\/18080). Let l = -57\/2 - -29. Which is the nearest to k? (a) -2 (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2)*r)**(-46)\/(r*r\/(r\/(r*r**(-1)\/r*r))*r**3) assuming r is positive.\nAnswer: r**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201 + 120022?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7834, 8807, 9782, 10759?\nAnswer: 11738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -227.89 - -4.89. Let z = 196.4 + c. Round z to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/13 + 663096*n**2\/13 + 3978630*n\/13 + 5967972\/13.\nAnswer: -2*(n - 331554)*(n + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x. Let u(n) be the second derivative of 14*n**4\/3 + 77*n. Determine v(u(a)).\nAnswer: 672*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 6*m + 24. Is -11 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*o**2 - 24*o**2 - 18*o**2)*(o - 3*o + 0*o)*(0*o + 3*o - o) as u*o**4 + t*o**3 + a + z*o + y*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24130 and 147320?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 281, -29579, -79345, -149017, -238595?\n\"Answer: -9953*o**2 - o + 10235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*0.3\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 69, 110, 165, 240, 341, 474, 645?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -5*i - 5*d, 4*d + 20 = 0. Suppose 11*r - 7*r - 2157 = -k, -4*r + i*k = -2154. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 722890 and 58420.\nAnswer: 183614060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2378 and 18.\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 513 and 1558?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w - 45 + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1496892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 65*r**3 + 150*r**2 - 20*r - 200.\nAnswer: 5*(r - 1)*(r + 2)**2*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252532, 252531, 252530?\nAnswer: 252529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4041 = 5*z - 31019, -5*c = -4*z - 134977. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414\/(-92)*1\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-7 - 0 - (-49 + 51))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 10, 19, 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8 - 12) + -1 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1912*v - 5727*v + 1904*v + 1911*v - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-4) + 15\/20. Let z(j) be the second derivative of 11*j**3\/6 - j**2 - j. Let w(v) = -5*v + 1. Give q*z(o) - 13*w(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2 + 3)) + 5. Suppose -4*i + 38 = j*q, -i - 43 = -4*q - 0*i. Let x(b) = -3*b**2 + 30*b + 71. What is the remainder when x(11) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*w - 3, 0 = 17*g - 14*w + 10*w + 98 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 71. Let n be (85\/b - -8)\/(2\/(-20)). Solve -5*o = n*s - 15, -s = -o - 1 + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 869184*g**2*l**2*n**2 - 15*g**2*l*n + 5*g*l**2 + l**2*n - 3*l*n**2 - 854 wrt n?\nAnswer: 1738368*g**2*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*-3*26\/(-156)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340 divided by -5?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 20. Suppose 16 = 6*u - 4*u - 4*i, -u + q*i + 8 = 0. Solve f = -f + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 20. Let o be p(17). Let c be o + 2*(-44)\/(-32). What is the biggest value in -1, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Which is the second smallest value? (a) -2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 0. Suppose -5*n + 3*x + 6 = -2*n, 0 = 5*n + x + 14. What is the closest to -0.1 in z, n, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d - 3562 = -66058. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 117959.6057379.\nAnswer: 117959.3057379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-9 + -8)) + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(5*l - 2*l - 2*l) - 4*l + 3*l - 4*l + (-l + 7*l + 0*l)*(1 + 1 - 1) + (-3 + 3 - 1)*(2*l - 2*l - l))*(3 + 0 - 6).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/234*-13*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.7 + -50.6. What is the closest to j in 4, -4\/7, 8, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-731)\/340)\/(-43)*-5)\/(1*6)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.094859 times -0.2\nAnswer: -0.0189718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 3. Let h(l) = l - 6. Let x(z) = 2*h(z) - 5*q(z). Let t(w) = -3*w + 2. Give -6*t(u) + 4*x(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.59 + -4.6387. Let n = w - -219.0487. Which is bigger: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((21 - -3)\/4)\/(0 + 2). Let d(i) = -2*i**2 + 2*i + 2. Calculate d(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1\/3)\/y))**(4\/11)*((y**6\/y)\/y)\/y*y*y**(-4\/7) assuming y is positive.\nAnswer: y**(988\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 815, -5, 1, 2\/5 in increasing order.\nAnswer: -5, 2\/5, 1, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75054326 is divided by 249?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941\/153 + 4\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssbkzssclcc. Give prob of picking 1 s, 1 b, and 2 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21553374 and 5978?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-7)\/(98\/(-21)). Let m(l) = 5*l**2 - 12*l - 4. Let p(k) = 3*k**2 - 8*k - 3. Let d(f) = 5*m(f) - 8*p(f). Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) 3 (c) 2\/3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -92 + 2876?\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-13) + 3611\/(-65). Let b = -55 - k. Let l = -0.187 - 23.813. What is the second smallest value in -3, -0.4, b, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r\/(r\/(((r\/(r*r*r*(r*(r**(-8)\/r)\/r)\/r*r))\/r)\/r)))\/((r\/(r*r**(2\/43)))\/r**(-3\/4)) assuming r is positive.\nAnswer: r**(174\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*x**2 - 16 - 53*x + 57*x + 16.\nAnswer: -113*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -397215, -188, 3?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + (6 - 19 - (-4 - -6)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 120480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:37 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -5 (c) 245\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13343191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2296 and 60\/1211.\nAnswer: 397208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102649?\nAnswer: 23, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, -31, -2 in decreasing order.\nAnswer: 2, -2, -14, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 26454369.\nAnswer: -1\/26454369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2987221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16080672 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 39 + 39.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/6*(-2)\/(-8))\/((-9)\/162*-60).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 2*k - 13*k + 4*k + 409 - 421.\nAnswer: 5*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 9*n - 2*p + 38, 5*n - 4*p + 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13156720067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4751820 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -71. Suppose -7*u = -2*u + 60. What is the remainder when q is divided by (4\/(-3))\/(2\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.318 + 3.4. Round j to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 399, 599, 801, 1005, 1211, 1419?\n\"Answer: i**2 + 195*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**4*v)*v\/(v\/v**(-13\/3)) assuming v is positive.\nAnswer: v**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k**3 - 7*k**3 - 2*k**3 + (-1 + 4 - 2)*(3*k**3 + 0*k + 0*k) - k + k - k**3)*(50*k + 58*k - 128*k) as g*k**2 + q*k + o*k**3 + r + v*k**4 and give v.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2633582\nAnswer: -790074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 4. Suppose 528 = -10*g + 43*g. Let m = g + p. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/252 + 2*v**7\/21 + 13*v**6\/10 + 37*v**5\/9 + 14*v**4\/3 + 2079*v**2. Determine d, given that a(d) = 0.\nAnswer: -4, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 256\/17 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000398 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10984890*l**3*z**3 + l*z - 2*l - 2*z**3 + 178*z**2 - 8 wrt l?\nAnswer: -65909340*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:24 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 69. Let m(g) = -2*g - 19. Let q(i) = -3*m(i) + w(i). Let n(j) = -j + 1. What is 6*n(z) + q(z)?\nAnswer: -3*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/6)*(q\/(q*q**(2\/23)))\/q)\/(q\/(q\/q**(-2\/7)))**(6\/23))\/(q**(1\/6)*q**4*q**1*q**(-5)) assuming q is positive.\nAnswer: q**(-163\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16016 divided by 2002.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 3*h + 8. Let k be r(-9). Let i = k - -64. Calculate the common denominator of (-12)\/i + 422\/48 and -71\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*w = 146*w - 5708. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 225*c + 1430. Let k(r) = -16*r - 102. Let x(w) = 4*f(w) + 55*k(w). What is the remainder when 97 is divided by x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843 divided by -281.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 226 = 131. Let z(y) = 6*y**2. Let l(c) = 3*c**2. Let i be 6*(3\/(-1))\/(-6). What is i*z(t) + n*l(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0 + 3)*0. Suppose t*o = 5*o. Let a(f) = -8 - 2*f + 1 + f. What is a(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q. Let z be (q + 0\/1)\/(-2). Let b(g) = g**3 - 4. Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28639*c + 57989*c - 29333*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25100578 a multiple of 1919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 8735.\nAnswer: -2\/8735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**4\/4 + 1604*w**3 + 1924791*w**2\/2 - 3868854*w + 3109. Factor j(o).\nAnswer: 3*(o - 2)*(o + 803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*t - 2*t**3 + 346*t + 4*t**3 - 15*t**2 wrt t.\nAnswer: 12*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 254*q**2 + 2669*q - 972. Calculate a(-243).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -12225554?\nAnswer: 12230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5547325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, -24, -0.086, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -384, 0.01, 5, 0.13, 4.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 379567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854511971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 + 2*m + 2. Suppose -4*v + 25 = -0*v - 3*a, 0 = v - 2*a - 10. Calculate w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37578*c**3*g + 4*c**3 + 2*c**2*g - 915*c**2 + 4555241*c*g + 32*g wrt c.\nAnswer: 225468*c*g + 24*c + 4*g - 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose -2*q + 17 + 37 = v. Let l = -123 - -137. Calculate the remainder when q is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (8 - (-8 + 4 - -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2005393 divided by 19.\nAnswer: 105547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*c - 75, -f + 135 = -4*c + 2*f. Let l = -29 - c. What is the closest to l in 0.1, -3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 7, -20, 5, -319, -5 in descending order.\nAnswer: 7, 5, 2, 1, -5, -20, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1\/(-1))*132. Suppose -4*u = 7*u - j. What is the smallest common multiple of 6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197*s**3 - 140 + 289 - 4*s - 148 to w*s + z + p*s**2 + m*s**3 and give m.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b - 60. Let s be x(13). Let l = s - -214. What are the prime factors of l?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044 and 394308.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7562*i + 1. Let y(t) = -7562*t - 1. What is 4*w(f) + 5*y(f)?\nAnswer: -7562*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30259208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 8. Suppose -4*r = -2*h + h - 67, -r - z = -4*h. Let v(i) = 4*i + 2. Let m be v(4). What is the highest common factor of r and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 18*a - 79*a + 71*a + 7 + 1.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a85 (base 12) in base 2?\nAnswer: -11000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 50 = 5*l - 8*y, -l + 5*y = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62, -132, 50 in decreasing order.\nAnswer: 50, 1, -62, -132","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.151, 0, -2 in ascending order.\nAnswer: -2, -0.151, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2))\/((-22)\/(-22)). Suppose a = 6*b + 11*b - 238. Let h(g) = g**2 - 4*g + 9. Let s be h(5). Calculate the greatest common factor of b and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 730639332*t\/5 + 66729229183175778\/5.\nAnswer: 2*(t - 182659833)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -3410?\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/9 (b) 4 (c) -1\/24 (d) -13 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*b + 12530, v + 1631 = 3*b - 17169. List the prime factors of b.\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 8*d + 9. Let a be i(-6). Let g = 8 + a. Solve -g*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*10\/(-245))\/((-69)\/(-21))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1579536 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 17. Let o = -24 - -30. Let x be s(o). Sort 2, -3, x in descending order.\nAnswer: x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - -158. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.3, 1\/5, 7, 110, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1456 + 1457. Let c = 26.8 + -27. What is the closest to c in a, -3, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 743 = 5*x, 2*x + 586 = -3*w. Let p = 196 + w. What is the closest to 1\/2 in 5, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52971690 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18889488 and 11844.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1227, 25, 3423, 10041, 20953?\nAnswer: 37233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 25. Let v(d) = 18*d + 22*d - 60 + 15*d + 12*d - 59*d. Let g(r) = 12*c(r) - 5*v(r). Let s(y) = -y**2 - 19. Give s(g(a)).\nAnswer: -16*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*v - 14. Calculate the remainder when v is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 - 2.3. Put -3, -4\/9, n, 1\/6 in increasing order.\nAnswer: -3, -4\/9, n, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 + 20*z**2\/7 + 132*z\/7 + 288\/7.\nAnswer: (z + 6)**2*(z + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(24\/432)\/((-74)\/(-18))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(99) - sqrt(99)*2) + sqrt(99))*-4 + sqrt(99))\/(sqrt(3) + sqrt(48) + sqrt(144)\/sqrt(3)))\/(4*-2*sqrt(243)*1).\nAnswer: -sqrt(11)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = -3*f, 4*f + 0*w - 2 = -2*w. Let u = -0.24039 - -0.30039. Which is the closest to -1\/4? (a) u (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 151 = 99. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 28*l + 33*l = i + 18, -5*l = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(24 + (-13 - -4) + 1690\/(-130))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyypphpepeep. What is prob of picking 1 h and 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(17\/((-170)\/6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 - 3*c - 5. Let s(j) = 2*j**3 + 7*j**2 + 6*j + 10. What is -4*s(g) - 7*z(g)?\nAnswer: -g**3 - 3*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2760*y - 2764*y + 24 = -w, -y + 2*w = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -5\/72*v**4 - 1\/3*v**2 + 2*v + 2\/9*v**3 + 1\/120*v**5 + 0. Factor k(j).\nAnswer: (j - 2)**2*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -332 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5802*p**2 - 11582*p**2 + 4 + 5789*p**2 to m*p**2 + i*p + n and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*2\/4)\/((-12)\/231208) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v - 37*v + 225*v + 214*v.\nAnswer: 452*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10587 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 34*a + 13. Give r(4).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3610.9269 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 2*y + 1 - 7*y)*(-3*y**2 + 2*y**2 + 4*y**2) to the form n*y + a + p*y**3 + r*y**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7315, 7315, 7329, 7363, 7423, 7515, 7645?\n\"Answer: l**3 + l**2 - 10*l + 7323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2832690 divided by -30\nAnswer: 94423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/279494408 and -14\/20226569.\nAnswer: 3074438488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 346471046 divided by -458?\nAnswer: -756487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56759 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - 2) - -1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**4 - 5*c**3 - 2*c**2.\nAnswer: c**2*(c - 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26855393?\nAnswer: 17, 31, 131, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -273550b0?\nAnswer: 273550b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcg when four letters picked without replacement from {g: 3, p: 3, c: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t. Let d(k) = 46*k - 50. Let z be d(-3). Let u = z - -191. Solve 3*a + t = -u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-4) - (-4885)\/3016. Let x = h - -2\/377. What is the nearest to 0 in x, 2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from iiiihiiisssj.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:29 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18*h*h**(-1\/64))\/(h**(8\/3)*h**(-2\/33)) assuming h is positive.\nAnswer: h**(34591\/2112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72452 - 134?\nAnswer: 72319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7607652577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 3*(-1)\/(-3). Suppose 3*v + 3 = 21. Let z = v + q. What is the second biggest value in -0.3, z, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, -62\/7, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87\/2 - 45. Let y = x + -53\/3. Calculate the common denominator of 1\/2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 11*d + 11. Let m be 18\/(-30) + 68\/5. Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 142*a + 26. Let u(j) = 3197*j + 2. Give u(x(q)).\nAnswer: 453974*q + 83124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4 + 18 + -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/21*-24*87\/12760.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16be2 (base 15) in base 5?\nAnswer: -4323222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = 0, -3*f - 7*s = -3*s + 8. Solve f = -24*k - 9*k + 66 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38225.106 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.076 + -4.076. What is the third smallest value in 0, -0.3, 0.19, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and 5\/1017.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -38*t**2 - 2279*t + 23. Determine w(-60).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/66)\/(6\/9). What is the third smallest value in z, -1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29281*12579\nAnswer: -368325699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -70.24?\nAnswer: 71.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o + 7. Let u be q(0). Let w = u + 18. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 289, 576, 861, 1144, 1425, 1704, 1981?\n\"Answer: -c**2 + 290*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-3\/2)*s**(-9)\/s)\/((s*s*s**(-4\/9)\/s*s)\/s**(1\/3)) assuming s is positive.\nAnswer: s**(-193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5658 divided by 5.\nAnswer: -5658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*-2*sqrt(608))\/(-4*((sqrt(128) - -1*sqrt(128)) + sqrt(128))*-3).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -49946, 1.\nAnswer: -49946, -9, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3346715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 561*r**5\/5 + r**3\/3 - 2508*r + 861. What is the first derivative of k(g) wrt g?\nAnswer: 2244*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 3}. Give prob of picking 1 a and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 339715273*u**2 - 564009573*u wrt u.\nAnswer: 679430546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*v - 31, 5*p - 26 + 1 = -3*v. Let t = p + 32. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 5 (c) 0.12283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = p - 2, -4*p + 5*y = -85. Solve p = 4*h - 9*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441138470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5565 - -3?\nAnswer: 5568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0225541 years?\nAnswer: 0.0000225541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -9 + (-118 - -87)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896 divided by 6.\nAnswer: -448\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.51, 0.38, 1, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -486.5 - -486. Which is the closest to 101? (a) i (b) 2\/5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/24 and 61\/27620766.\nAnswer: 110483064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -183 * -5.7\nAnswer: 1043.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/(90\/225).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpc when three letters picked without replacement from {p: 1, q: 4, c: 5, k: 1, g: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 14. Let w be o(17). Suppose -w*k = -8 + 2. Find the first derivative of -2*x**4 + 11 + 11*x**2 + 15*x**k - 26*x**2 wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v. Let r be o(6). Let j be -2 - (r + 1 - 1). Let z be 1\/(j\/2 + -1). What is the highest common divisor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25887536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 17ac140?\nAnswer: -17ac13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4560? (a) 0.5 (b) 4 (c) -3\/202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 22 = 5*f + 33, 0 = 4*f + 2*v + 44. Let r(a) = a**2 + 12*a + 15. Let b be r(f). Suppose 0 = 2*l + 3*l - 10. Sort -3, l, b in decreasing order.\nAnswer: b, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 105. Sort -1, r, -4 in increasing order.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16905085*y**3 - 242201 wrt y.\nAnswer: 50715255*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.73 - 0.61. Let c = 0.16 + -0.02. Let z = c - y. What is the biggest value in z, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w - 2*w)*(2 - 2*w**3 - 2) + (w - w - w**2)*(0*w**2 + 2*w**2 - w**2) - w**4 - w**4 + 3*w**4 to h + o*w**2 + b*w**4 + r*w + t*w**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/6 + 13*d**3\/6 - 10*d**2 - 41*d. Let j be s(5). Put 0.1, -0.1, j in decreasing order.\nAnswer: 0.1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2938 + -14627\/5. Let q be (-9 + -4)*(-2)\/2. Is i less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/392 and -117\/25840.\nAnswer: 1266160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 - n**5\/10 + 7*n**3\/6 + 27*n**2. Calculate g(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2 + sqrt(84) - sqrt(84))*-3 + sqrt(84) + (-2*sqrt(84) - sqrt(84))*4)\/((sqrt(5184) - (sqrt(5184)*-2 - sqrt(5184)))\/sqrt(3)).\nAnswer: -5*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-4) + 3 - 20\/(-16)*(-219)\/15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3397375\/(-34125) + 99 + (-1 - 38\/(-26))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*g - 15, 7*a + 163 - 148 = 2*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1309, 107, -1 in ascending order.\nAnswer: -1309, -1, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619543 is divided by 617060.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/49 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 105. Suppose -t + 10 = i, -g*i + 8*i = -2*t + 20. Suppose -9*l + t + 17 = 0. Calculate the smallest common multiple of l and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2225 + 2225 - 477*d + 1024*d - 514*d.\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*k*t**4 - 17*k*t**3 + 30*k*t + 8*k + 2*t - 1 wrt t?\nAnswer: -1464*k*t**2 - 102*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t + 4)*(2 + t - 2)*(2 - 2 + 1) - 4*t**2 + 0*t**2 + 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (-4*((sqrt(704) + -1 - sqrt(704)) + sqrt(704)) - 6*-2*sqrt(704)) + 1)**2 + -1.\nAnswer: 128*sqrt(11) + 45053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43896 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 194058*n**2 - 388107*n + 194052.\nAnswer: -3*(n - 64684)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*r + 63*r = 250*r - 405*r + 19980 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118814 is divided by 175?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q. Suppose o - 5*f = 52, -112 = 6*o - 10*o - 4*f. Let s(b) = o*b + 18*b**2 - 15*b - 17*b. What is r(s(u))?\nAnswer: 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8208) - (sqrt(8208) + -1*sqrt(8208)))\/sqrt(108).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 11. Let l be x(-8). Let q be (1 - -2) + (l - 0). Suppose 2*i + q*i = -3*b - 2, 6 = -3*b. Solve -4*s + i - 15 = r, 5*s + 14 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 882373*t**2. Let z(b) = 40*b. What is z(l(f))?\nAnswer: 35294920*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396783 by -9.\nAnswer: 44087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose -4*v = 4*z - s*v - 34, -25 = -3*z - v. Let w = 17 + -12. Calculate the remainder when z is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 - y - 1. Let b be k(-3). Solve 7*q - b*q = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + sqrt(325) + 0 + sqrt(325))*5)**2.\nAnswer: 73125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by 59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 235022 - -141?\nAnswer: 235163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/13)*i)\/i)**(6\/29) assuming i is positive.\nAnswer: i**(-36\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, d: 13}. What is prob of picking 2 v and 1 d?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 4*g - 7. Let w(c) = -3*c**2 - c + 2. Let k(n) = -2*f(n) - 7*w(n). Let j be k(1). Suppose j = -0*u + u - 2. Solve -u*o - 3*o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41287 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -3\/2*i**2 + 0 + 2*i + 5\/12*i**4 + 1\/20*i**5 - 7\/6*i**3. Let m be q(-6). Solve -9 = m*u + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**4 - z**3 + z**2 + 1. Let x(g) = -41*g**4 - 3*g**3 + 3*g**2 + 3*g + 3. Let l(b) = -3*j(b) + x(b). Find the second derivative of l(k) wrt k.\nAnswer: -456*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 82\/(-41) - (2 - 222\/57). Which is the second smallest value? (a) t (b) 4\/21 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 2*q. Suppose -n = q + 4. Let u = -3 - n. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 5. Determine d(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1102618.9 to the nearest one thousand.\nAnswer: 1103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2 + 224*j - 450*j - j**3 + 226*j. Suppose 4*x + 6 = 2*x. Let u = -3 - x. Give o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:58 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30)*-3)\/((-7)\/1995*-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*d - 22*d**4 + 113*d + (-4*d + 4 - 4)*(-2*d**3 - d**3 - 3*d**3).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5 - 1184024415.\nAnswer: -1184024417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n**2 + 2*n**2 + 2*n**2 + 0*n**2. Let a be (2\/6)\/((-4)\/(-24)). Let l(p) = 3 - 3 - p**a. What is l(m(b))?\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 - 7*f - 13. Let v(o) = -13*o**2 + 16*o + 28. Let c(x) = 5*l(x) + 2*v(x). Let s(d) = 4*d**2 - d - 4. Calculate 2*c(m) - 5*s(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:26 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:23 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 8, 5, 18, 53, 116, 213, 350?\n\"Answer: t**3 - t**2 - 17*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 + 32*p**2 - 4*p**4 + 40 + 8*p**3 - 72*p + 17.\nAnswer: -4*(p - 3)*(p - 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317.0000147 - -317. What is m rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + -3 + -6*(sqrt(5) - sqrt(5)*2))**2.\nAnswer: -42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460705022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 1473706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -25*b**2 - 5\/276*b**4 + 0*b + 2\/69*b**3 - 1\/1380*b**6 + 2\/345*b**5 + 0. Factor z(w).\nAnswer: -2*(w - 2)*(w - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {r: 9, h: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 13. Let r(y) = y**3 + 2*y**2 - 6*y. Does 8 divide r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -300, -675, -1190, -1839, -2616, -3515, -4530?\n\"Answer: c**3 - 79*c**2 + c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.076093 * -2\nAnswer: 0.152186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -5.07. Let r(z) = -4*z**2 + 1. Let l be r(2). Let y be l\/5 - 23\/(-7). Which is the closest to y? (a) o (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287680489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 = 31. Suppose -29*f + 8 = -27*f. Does 7 divide 139\/f + c\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*g**2 - 4530*g - 3420150.\nAnswer: -3*(g + 1510)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(104\/(-39)). What is the fourth biggest value in q, -2, 5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {e: 4, n: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.1, 4\/41, 5\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85 + -73 + 2 + 312. Solve -x*i = -317*i + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739723, -739747, -739771, -739795, -739819?\nAnswer: -739843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 3)*(-468)\/(-1170)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/9))*b**(-1\/2))\/(b**(-2)\/((b**(-1\/8)\/b)\/b*b))*(b**(1\/3)*((b\/b**(-2)*b)\/b)\/b)\/((b\/b**5)\/(b\/(b**(-1\/2)*b))) assuming b is positive.\nAnswer: b**(535\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/49)\/((7650\/(-420))\/15).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3041 - -33453\/11. Which is the biggest value? (a) -0.3 (b) -1 (c) 0.5 (d) n (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, -1, -11\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 14. Let r(t) = -2*t - 14. Let x(k) = 4*f(k) + 5*r(k). Is x(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 7*i + 4. Let n(t) = -t**2 - 13*t + 7. Let r(s) = -s - 3. Let y be r(-7). Let m(p) = y*n(p) - 7*j(p). Find a, given that m(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16451351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 22065*g - 10187. Is n(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -10 - (0 + -6). Let u be (-33)\/(-7) - z\/(-21). Suppose u = -s + 25. Calculate the remainder when 59 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v. Suppose j = 1 + 13. Let d(f) = j*f - 19*f + 13*f. Calculate h(d(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/23 - 70*q**2\/23 - 134*q\/23 - 66\/23 = 0.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + k - 1. Let w = -80 + 481\/6. Let g(l) be the third derivative of w*l**3 + 0*l + 0 - 2*l**2. Determine -c(u) + g(u).\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -741 + 739. Let i be 9 + (7 + j - 11). Factor 0 + 1\/6*r**4 - 1\/6*r**5 + 11\/6*r**2 + 3\/2*r**i + 2\/3*r.\nAnswer: -r*(r - 4)*(r + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4211 and 0.3.\nAnswer: 0.12633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18549598 + -18549609.0999855. Let f = -11.1 - o. What is f rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:59 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:33 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 0. Let o be 6 + -1 - (y - -1). Let h = o + 4. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 258245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2428 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.31991+689.69\nAnswer: 687.37009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnnd when four letters picked without replacement from vvvvnnvvncndpdr?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/36 and 45\/267609748?\nAnswer: 2408487732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 35, 4*t + 9 = 9*z - 6*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9585 and 2977740.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-3 + 1 + -18). Let q = -12 - -17. Solve 8 = -q*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(2520\/(-644)))\/((-2)\/5*15\/(-30))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 216143 divided by -653\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 4. What is the remainder when 41 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/359 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249311 - 201780853.\nAnswer: -202030164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15004 (base 8) to base 12.\nAnswer: -3a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405590 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-21 - (3 - (-3 + 7))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8814 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3)*1)\/((-6)\/72). Let g be (-2)\/(-40)*h + (-2)\/10. Find the third derivative of -4*x**6 + 2*x**6 - 8*x**2 + 20*x**6 + g*x**2 wrt x.\nAnswer: 2160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2\/3*r**3 - 1 + r**4 - 2*r - 2*r**2. Factor l(q).\nAnswer: 2*(q - 1)*(q + 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6)*3 - sqrt(6)) - (sqrt(11) + (sqrt(11) + 2 - sqrt(11)) + 2)**2.\nAnswer: -27 - 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/19702 or 1?\nAnswer: -33\/19702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**5\/10 + d**4\/8 - d**3\/3 + d**2 + 1. Let h(o) be the second derivative of l(o). Is h(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 15*v - 1. Let c(h) = -2*h**2 - h - 1. Let p(s) = 4*c(s) - 4*k(s). Let f be p(16). Solve 6 = 3*u - f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 - 2)) + (-4 - (-14 + -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/331551 and -1\/7683.\nAnswer: 4310163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/10)\/(p*p\/((p**(-6)\/p)\/p)))\/((p*p**(-2))\/((p*p\/p**(-1\/4))\/p)))\/((p*p**(-1))**(9\/5)\/((p**(-4)\/p*p*p)\/p**(-1\/8))) assuming p is positive.\nAnswer: p**(-421\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 6)*2\/(-6). Let f = 463 - 462. Solve f = -c*v + v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.299483 or 0?\nAnswer: -0.299483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167192 is divided by 929.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 + -11?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -60. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11172631 and -41\/5.\nAnswer: 55863155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.7 (b) -273 (c) 0.6 (d) -2\/41 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 723886*h\/3 - 13030920.\nAnswer: (h - 54)*(h + 723940)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -207 (c) -13823\/3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -1. Solve 5*b - 9 = q, -y = -b - b + 5*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103 and 441870?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n + 45 = 107. Suppose 3\/4 + 1\/4*k**n + k = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 23. Let p(c) = -9*c**2. What is p(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102.892 + -103. Let c = -2.108 - a. Let j = -2 + 3. Sort c, -2\/7, j in ascending order.\nAnswer: c, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4667171, 4, 2, -3 in decreasing order.\nAnswer: 4667171, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12) + 0 + -3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t + 45*t - t**2 - 25*t + 47*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38667790, -77335579, -116003368, -154671157?\nAnswer: -193338946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/78*(-39)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-65400)\/(-6600)*(-11)\/(-4)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 7*t + 144. Suppose -4*v = -4*a + t, 0*a - 2*a - 4*v - 6 = 0. Suppose 2*q + 171 = 4*q + m, 2*m - 425 = -a*q. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 43*c + 597. Let k be d(22). Solve k = 10*t + 115 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19227 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -12.038. Let w = r + 0.037953. Round w to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23014\/33 or 698?\nAnswer: 23014\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 3*y = -17*h - 9, h = -y + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 8*y**2 + 9*y - 3. Let t be s(7). Let h = t - 6. Calculate the lowest common multiple of 2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14697 != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cca when three letters picked without replacement from aaaggaggcggc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:35 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:09 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 611, 2448, 5509, 9794?\n\"Answer: 612*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31977410 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0344 - -1952.6344. Round p to the nearest 10.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25258, 25597, 26156, 26935?\n\"Answer: 110*r**2 + 9*r + 25139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 1\/3*r**2 + 5\/3*r.\nAnswer: -(r - 3)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:27 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 + 97*b**2. Let u be (-4)\/(-6)*6\/2. Let y(m) = m**2 - m**u - 3*m**2. Determine y(z(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -21.1. Let r be (-10)\/(-4)*(3 - 1). Which is the third smallest value? (a) 3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let s(y) = -2*y - 3. Let o = -6 + 4. Let j be 5 + 2\/o + -2. Let c(n) = j*s(n) - 6*a(n). Let d(q) = -q**2. Give d(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from asfakll?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:44 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 472349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 2*w + 2*w**3 - 2*w.\nAnswer: 2*w**3 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 + 5. Let h(f) = 3*f**3 + 6*f**2 + 14. Let s(x) = -14*x**2 + 2*x + 1. Let u be s(-1). Let i be (u\/10)\/(6\/32). Determine i*w(y) + 3*h(y).\nAnswer: y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-4)\/(-10) - 22\/55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*y - 36*y**2 + 71*y**2 - 32*y**2 to the form q*y**2 + m + x*y and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96657 and 78793?\nAnswer: 23874279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1798 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {l: 1, b: 2, d: 2, s: 1, g: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38675445116 + 38676432508.20051. Let y = -987316.2 + p. Let g = -76 + y. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621.74063 rounded to zero dps?\nAnswer: -2622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -126, -61, -5, 295?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from izizizizzizz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + h - 12, -5*w = -4*h + 2421 - 2403 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-9 - -7))\/(-1). Solve -5*h + 5 = -5*r, h - 2*h + 2*r = g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -23*u**2 + 11*u. Let c(y) = -622*y. Calculate x(c(n)).\nAnswer: -8898332*n**2 - 6842*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 28*b**3 - b. Does 4 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*r + d, 3*r = -2*r + d - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from szvzzvxxvxxzxvvg.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/120 and -39\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1146642903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = 3*c, 5 = 3*o + 5*c - 2. Suppose 2*k = v - 18, 2*v + 51 = 5*v - 3*k. Solve 0*w - o*w = -v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*x + 42, 154 = 4*g - 2*x. What is the third derivative of g + 3443*w + 13*w**4 - 2*w**2 - 3443*w wrt w?\nAnswer: 312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 + -158. Let s(n) = -2*n - 2*n - n - 2*n - 14. Let d be s(-4). Calculate the greatest common divisor of d and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*n**2 + 3*n**5 - 90*n**2 + (0 + 2*n**2 + 0)*(-2*n**3 + 0*n**3 + 4*n**3) - 1 - 2*n**5 + 1 + 0 + 0 + n**5.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214820.98175 plus -0.202?\nAnswer: -1214821.18375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 3091220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 41. Let k be o(17). Suppose 0 = -2*w + 3*v + 18, -5*w - 2*v = -0 - k. What is the highest common divisor of w and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/21 + -181\/168. Find the common denominator of f and ((-896)\/24)\/(6\/63 + (-2480)\/(-420)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 24*s**2 - 122*s + 15. What is d(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1681\/23 + 73. Let v(g) = g**2 - 2*g + 1. Let n be v(1). Suppose n*b = -5*b. Is i bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -163*c + 168*c + 20, 2*c + 24 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 13 + 3 = -4*d, w - 3*d - 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5 = -2*o, -6 = 3*o - 3*j - 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2. Let c(u) = -67 + 139 - 285*u - 9 - 63. Give h(c(i)).\nAnswer: 324900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let j(q) = -q**2 + 2*q + 10. Give -2*c(i) - 2*j(i).\nAnswer: 2*i**2 - 2*i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-472)\/12*(-624)\/416.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a + 28 = 0. Let d = 47 - a. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4169?\nAnswer: 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22853.\nAnswer: 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12140.75 millimeters in meters?\nAnswer: 12.14075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 4 - 4 + (1 - c - 1)*(-2 + 3 + 0 + (-1 + 4 - 2)*(-3 + 3 - 2) + 1 - 2 + 0) + (-c + 0 + 0)*(-13 - 36 - 16).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qquuquqqhuuqhqq. Give prob of picking 3 q and 1 h.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20123233000 (base 4) in base 15?\nAnswer: -2da087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1090444 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 18*w + 184 - w - 172 - 6*w.\nAnswer: 2*w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/7 and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11670 is divided by 435?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304 - 560. Is 32 a factor of 7638\/16 - 8\/(c\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 5*y - 4*z, -49*z - 247 = -2*y - 47*z - 395 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 471 (b) -3 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 1 (b) -7 (c) -1507.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -127286983 to the nearest ten thousand.\nAnswer: -127290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 equal to -9440561\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/2, -2\/5, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 62, 102, 142, 182?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = -36 - 92 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2690 - -5753. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(((-435)\/30)\/(-29)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -57, -122, -213, -330, -473, -642?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence non when three letters picked without replacement from {n: 17, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -145.7.\nAnswer: -14.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497907141 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 3. Let b(o) = -2*o**2 - 2*o. Let u be b(-2). Let g be (-2*1)\/(u\/6). What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 121 (c) 290 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3094377315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 3\/7 (c) -2\/17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2489, -6151, -12265, -20837, -31873, -45379, -61361?\nAnswer: -79825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -63 (c) -868 (d) 2 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.0929.\nAnswer: 0.0929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*f - 6, 2*f - 2*n + 5*n = 1. Suppose -4*g + f + 2 = 0. Solve 5*b - 21 = -g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 + 238. Let p = -0.180317 - 76.822783. Let w = v + p. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -2, 2\/7, 2, -0.42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 69 + 3*d + 19 + 8. Is v(-28) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - v + 6*v - 1024, -2*y = 2*v - 512. Suppose -y = -2*q - 4*d, -4*q - 2*d = -223 - 283. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 7*f - 12*f + 2*j, -9 = 3*f + 5*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/40 and -119\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:17 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/3 - 25*m. Determine s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*f - 5*t + 21, -3*f - 5*t - 18 = 0. Are -4\/175 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btzdgddddpddzdp. What is prob of picking 1 b and 2 d?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - (-11)\/2. Let h(x) = 9*x**2 - 2 - f*x + 2*x - 6 - x**3. Let u be h(8). What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -68 - 7. Let w = r - -18. Solve -d = 2*a - 5, 3*a + w = -2*d - 3*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**2\/5 - 54*t\/5 - 8\/5.\nAnswer: -(t + 4)*(13*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, 0.067, 4\/7, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 554287*r**3 - 36005*r**2 - 2*r - 3 wrt r?\nAnswer: 3325722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i + 5*u - 10, 5*i - 5*u = -40. Suppose 19*v = 13*v + 132. What are the prime factors of i + v\/2 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 14*x**2 - 12*x - 9. Let c be j(15). Suppose 2*z + 0*z = 4*i + c, -5*z + 4*i = -84. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*n + j + 86, -3*n - 69 = 5*j. Let r be 50\/(-126) - 8\/n. Let w = 175 - 168. What is the third smallest value in w, -4, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*p = -p - 54, 3*x + p = 33. Suppose 710 + 442 = x*g. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/36)\/((-152)\/24)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -4*x + 224, 5*x + 281 = 3*k. Suppose 0*g - 2*g + k = 0. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-36)*236\/10. Let y = -9\/5 - u. Which is the third smallest value? (a) y (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(4914\/168)*36\/75*2\/8?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42 = -17. Suppose 4*k + 5*c - 129 - 179 = 0, 0 = u*k - 3*c - 385. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1085 and 10199?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -3) + ((-118)\/(-15))\/(10*11\/275)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*k - 18 = 0, -3*k + 19 = 4*p - 2*p. Suppose 5*d - 63 = p. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:21 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 43 - 28)*(270 - 193*n - 134 - 136).\nAnswer: -7527*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/11 - 9252*q**2\/11 + 101566*q\/11 - 166140\/11 = 0 for q.\nAnswer: 2, 9, 4615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-16)\/((-512)\/72)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = -22*u - 54 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - -1)\/(-1) - -1. Let l(s) = 1. Let m(h) = -16*h + 18. Suppose -3*n = -5*u - 4*n + 5, 0 = 2*n. Let g(d) = j*l(d) + u*m(d). Differentiate g(p) wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475457 or 475674?\nAnswer: 475674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 14*j - 40. Let d be r(10). Suppose -2*b + d*b + 376 = w, 194 = b + 2*w. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30984923149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 754*c**2 - 60190*c - 59438.\nAnswer: -2*(c + 1)*(c + 113)*(c + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5037720\nAnswer: 1007544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19989 - -19991. Let v(h) be the first derivative of 5 - 2\/3*h**3 + 0*h - d*h**2. Factor v(c).\nAnswer: -2*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 25 + 9*o - 7*o.\nAnswer: 2*o - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -162*l + 155*l - 1, 5 = -n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 7, k: 1, t: 3, w: 2}. Give prob of sequence tw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 43 = -4*n - y, -n - 4*y + 19 = 0. Suppose -n*o + 3*o - 68 = 0. Let b(d) = -6*d - 1. Let x be b(3). Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 2*t**4 - t**3 + 2*t**3 + 48 - 5*t**2 - 50 to d*t**3 + x*t + l*t**4 + r*t**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Suppose -25 = -3*r + 5*s + 4, 0 = 3*s + 12. Solve -z*p - r = -23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 13 (c) 1 (d) -1 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976260661?\nAnswer: 976260661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1.274, 0.24, 11, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.80044 nanograms to micrograms.\nAnswer: 0.02380044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -123*t**2. Let y(m) = -15*m**2. Let s(x) = -4*g(x) + 33*y(x). Let r(n) = 7*n - 2. Calculate r(s(k)).\nAnswer: -21*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 311.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**2 - 172*u**2 + 30 - 30 + 0.\nAnswer: -124*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11959, -12087, -12293, -12577, -12939, -13379?\nAnswer: -13897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 1 + s**3 - 3485*s**2 + 3453*s**2 to the form j*s + c*s**2 + z + m*s**3 and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 541, 545, 549, 553, 557?\n\"Answer: 4*v + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 34. Sort 3, 2, t in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 2*y + 22 = 0, 5*y - 14 = -x - 31 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)*n*n*n**(1\/58)\/n)**(2\/37))**2 assuming n is positive.\nAnswer: n**(474\/5365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2197, 2021, 1845, 1669?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.84941 + -0.01059. Let i = d - -138.9. Let c = i + -79. Which is bigger: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1400 and 144130.\nAnswer: 2882600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44773, -44762, -44753, -44746, -44741, -44738?\n\"Answer: -t**2 + 14*t - 44786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -4) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 11. Let z be y(-5). Suppose p - z = 6. What is p rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-15))\/(-1)*6. Suppose -s = -i - 0. Solve -s = l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p**2 + 1214*p - 9. Let d(j) = -11*j**2 - 1209*j + 8. Determine -7*d(h) - 6*q(h).\nAnswer: -h**2 + 1179*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 24 - 11 = 5*b, -4 = -o - b. Solve -5*c - 5 - o = -u, 2*c = -4*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112637 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23280 and 17460?\nAnswer: 69840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 128244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586 and 379142?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + (sqrt(9) - sqrt(9)*4*-2)).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w - 18. Let s be h(-9). Suppose 61*o = s*o - 144. Let q = o + 55. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705 is divided by 108?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 22*v + 12 - 11*v - 7*v in the form p*v + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 6*u - 3*q + 477 - 369, 2*q - 60 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -31*h - 1. Calculate a(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*l**2 - 1)*(933*l**2 - 562*l**2 - 487*l**2) in the form r + w*l + q*l**4 + x*l**3 + d*l**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 - 3) - (-2 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -2*l, 5*z = -l + 5*l - 11. Let q be l*1*6\/8. Let x(h) = -4*h + q*h**2 + 4*h. Let n(w) = -2*w. What is n(x(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63658634 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 75. Find the second derivative of 12*o**q + o**3 + 35*o - 5*o**2 - 19*o**2 wrt o.\nAnswer: 6*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-18))\/y**(-1\/14)*(y\/(y\/(y**(4\/5)*y)))**(-4\/7) assuming y is positive.\nAnswer: y**(1333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/114 + (-2)\/2. Let i(z) = 14*z**3 + 2*z**2 - z - 2. Give i(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 10:26 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 768.5929 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 25 (c) 0.039 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 91*g + 1918. Determine j(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11505, -11545, -11605, -11685, -11785, -11905, -12045?\n\"Answer: -10*y**2 - 10*y - 11485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -1 (c) 22 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572066?\nAnswer: 2, 11, 26003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + ((-12)\/(-15) - -3). Let y = -27\/4 + 7. Which is the closest to y? (a) d (b) 1\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13336 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:24 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679063544.\nAnswer: 2, 223, 380641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/3 - i**3\/3 + 2*i**2. Calculate the least common multiple of 2 and d(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -5871813\nAnswer: 381667845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:36 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (-23 + 16 + 10) - 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097.906 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1355423, 2711619, 4067813, 5424005?\n\"Answer: -r**2 + 1356199*r - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 8. Let u = 21 + a. 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: What is the remainder when 233 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1753, -1752, -1751?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 7. Let g be o(0). Suppose 5*w - 112 = 4*n, 3*w - g*w = 3*n - 102. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73294.54 minutes in seconds?\nAnswer: 4397672.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384 - -4539. Suppose -13*o + g + 512 = 0. What are the prime factors of o?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/8 - (-25)\/20. Suppose -b*q + 244 = 234. Sort -38, -1, 0, q.\nAnswer: -38, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 12. Suppose -3*y - 6*y = 72. Let f be o(y). Suppose 4*d + 110 = 2*t, 0 = -f*t + 4*d + 99 + 105. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7127*h*k**3 + 15*h*k**2 + 2*h*k + 3088*h - 30*k**4 + 6*k**2 - 3*k wrt k.\nAnswer: 42762*h - 720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73701 is divided by 619.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 250 = 5*c, -c - 6 = 5*o - 26. Suppose c = r + 2*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 14*v - 6. Let t be l(-14). Let a = t + 1048. Differentiate -a*m + 5 + 420*m + 11 + 5 with respect to m.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 0.3, -4, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9256 + -9e?\nAnswer: 91a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 - 784*x - 5521. What is r(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 + 3*b**2 + 4*b + 2. Let a be h(-1). Suppose -2*f + 3*y - 60 = -5*f, 0 = -a*f + 4*y + 145. What is the remainder when 97 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 19 - 22 - 263*p in the form i + l*p and give l.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**5 - 34*u**3 - 175*u.\nAnswer: -60*u**3 - 204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -66*a**2 + 203*a**2 - 69*a**2 - 66*a**2. Let b(d) = 391*d**2 - 138*d. Let f(l) = 28*l**2 - 10*l. Let z(r) = 5*b(r) - 69*f(r). Determine y(z(q)).\nAnswer: 1058*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -160. Let u(f) = 160*f - m*f + 1 + 2*f**2 - 2 - 3*f**2. Determine u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**3 + 0*s - 1\/24*s**4 + 7*s**2 + 0. Let o(h) be the third derivative of h**5\/60 - 36*h**2 - 2. Determine j(o(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/10609 - -10641\/84872. Let a(s) be the third derivative of 22\/3*s**3 + n*s**4 - 12*s**2 + 0*s + 0. Differentiate a(h) wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204)*-1 - sqrt(204))*1)\/(6*-1*sqrt(972) + sqrt(972) - sqrt(972)).\nAnswer: -sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -303, 19, -240, -4 in descending order.\nAnswer: 19, -4, -19, -240, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -30*q + 12*q + 232 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464264 and 1044594?\nAnswer: 4178376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 + 483. Find the first derivative of j*w**3 + 190 - 164 + 200 wrt w.\nAnswer: 672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3075 - 0.3075. Sort f, -3, 0.35, 1\/6, -2 in descending order.\nAnswer: f, 0.35, 1\/6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000716759945 rounded to 6 decimal places?\nAnswer: -0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2368\/(-407) + (6\/(-33) - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20554 + -215262?\nAnswer: -236036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4710 and 9?\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 10. List the prime factors of n(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*t + 2*r - 6, -4*t - 5*r + 8 = 0. Let d be 5\/(-20)*t*-6. Calculate the greatest common divisor of d and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 8 (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 times 0.06?\nAnswer: 53.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 19. Suppose -q - 3 = 5*i - 25, -j*q = -2*i + 4. Let o = 0.2 + -0.6. Which is the second biggest value? (a) o (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from yytn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**2 - 744*h - 1257?\nAnswer: -6*h - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 2. Let i be c(-2). Solve i = -m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x + 2. Let m(d) = -d**3 + d - 1. Let b(w) = -2*m(w) - u(w). Let k(v) be the first derivative of v**4\/4 + v**2 + 9. Give 2*b(h) - 5*k(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnnnnq. Give prob of sequence qnnq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 998*-4.\nAnswer: -3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 28*a + 5*a + 120 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + 4 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-19002)\/9*(-32)\/(1536\/360)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33473 + 1219?\nAnswer: 34691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 50*h - 52*h + 16, 5*m - 5*h = 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -42 - (-1 + 17) - (-22 - (1 + 3))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 1. Let x be q(-3). Let g(i) = -x*i**2 - 2*i + i**2 - 4*i - 2*i**3 - 2 - 5*i**2. Calculate the lowest common multiple of g(-5) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + g**2 + 18*g + 5. Calculate f(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173 - 3*u - 590 - 583.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 4*y**2 - 2*y + 27. Let j be h(5). Let n = j + 338. Solve -m = -n*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25980 + 246*m**2 + 224*m**2 - 10*m**3 + 29*m**2 + 25979.\nAnswer: -10*m**3 + 499*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 2*r - 105 + 16*r + 51.\nAnswer: 18*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3 + 4 - 7*z - 4*z**2 - z**2 - 2. Let x be s(6). Let j(o) = -106*o - 9. Is j(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2*w**2 + 1 - 1)*(3*w**2 - w**2 - 8*w**2) + (-3*w + 3 - 3)*(2*w**3 - w**3 + 2*w**3).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255305 is divided by 1537.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 615.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 67*q + 39. What is the remainder when d(2) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 2. Let a(l) = -140*l + 69. Let v(u) = 31*u - 17. Let g(o) = 4*a(o) + 18*v(o). Let h be g(p). Solve 4*s = h - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28918 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6dad + -5?\nAnswer: -e6db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122978 to the power of 1\/2, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((208\/260)\/((-112)\/(-49)))\/(1\/5)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40656*i - 81232*i + i**2 + 2495 - 2495 + 40576*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 165285*w**2 - 8275830*w - 30458440.\nAnswer: 5*(w - 33107)*(w + 4)*(w + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g + 26. Let z(i) = -2*i**3 - 11*i - 79. What is 17*w(f) + 6*z(f)?\nAnswer: 5*f**3 + 2*f - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15928\/27 - 590. Which is the nearest to 2\/3? (a) 0.4 (b) -3 (c) -0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 1. Suppose -3*g = -2*s + 71, 3*s - 108 = 12*g - 7*g. What is the remainder when s is divided by r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -1.05. Let z = 0.7 + q. Let h = -3\/24871 - 4519\/24871. Put 0.5, z, h, -3 in ascending order.\nAnswer: -3, z, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-13))\/o*o\/o**(3\/13)*o**(-17)*o*o\/(o\/o**3))**(-22) assuming o is positive.\nAnswer: o**(-220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/4)\/(1 - 3). Let y be (1 - -5) + -1*(0 + p). Suppose w + w = 3*s - 594, 187 = s + y*w. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435784 is divided by 195.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 64 + 4*z - 65 + 20*z. Let o be c(6). Let p be (-67)\/(-13) - 22\/o. Solve -q = 7*d - 3*d - 15, 30 = -p*q + d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f + 3. Give r(11).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-36)\/64*85172\/(-321). Solve -7*a + s = 171 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164471 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 17*w - 88 = 9*r + 576, -5*r + 4*w = 375 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.23 + 50. Let b = m - 6.77. Let i = b - -6.99998. What is i rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-8)\/(-100))\/((-13)\/130)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.11, -9, -2, 4, 37?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/3)\/(-7)*27\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 3015*z**2 - 3010*z.\nAnswer: -5*z*(z - 602)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 5 + s**3 + 6*s**3 + 3 + s**3 to u*s + w*s**3 + i + q*s**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94223 is divided by 18829?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 98. Let h(b) be the first derivative of -1\/5*b**5 + l*b - 4 + 0*b**4 + 1\/3*b**3 + 0*b**2. Factor h(z).\nAnswer: -z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*s - 128. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*l + 5 + 3 = 0, -l = 4*m - 9. Is 4 a factor of -10*((-4)\/(-4) - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-4) + 3)*1. Solve n = 2 - r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/36 and -23\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + 4. Let z = -35 - -61. Let t = h - z. What is the greatest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + l**5 - 5*l**5 + (-3*l**5 + 3*l**5 + l**5)*(2 - 3 - 10).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i + 72. Give z(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, 4, 8, 12, 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 7. Let v be x(-6). What is the greatest common divisor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 83\/166*(-4)\/(-5). Let u be 3\/((15\/(-4))\/(-5)). Let r be (-6)\/u + 1\/2. What is the nearest to r in -3, -1\/10, m?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747 = 3*z - 783. Suppose 5*b - 2*r - z = 2*r, 0 = 3*b - 3*r - 309. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 + 2 - -5) + -5 - 0) + (1597 - 1476)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 119*q**3 + q**2 - 7*q - 4. Let m be a(4). Suppose o - m = -4*o. Let x = 2671 - o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15635\/4833 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156118 + 156125. Let v = -3 - 2. Which is the third smallest value? (a) v (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 870489806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*a**5 + 17*a + 0*a - 26*a**5 wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-156)\/(-24)*(-1 + 7). Let t = b - 33. Let j = -43 - -65. What is the smallest common multiple of t and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i = -10*i - 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69831785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211273 is divided by 760?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4753 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/60 + 11*g**2\/2 - 8*g. Let n(h) be the first derivative of a(h). Let y(p) = 69*p**2. What is n(y(w))?\nAnswer: 4761*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and 3788.092.\nAnswer: -204556.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b. Let k(z) = z**3 + 4*z**2 + 2*z + 2. Let n be k(-4). Let v be i(n). Suppose 0 = 13*p - 87 + 9. What is the greatest common factor of v and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 7425.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:21 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -387 and 184424025.\nAnswer: 184423638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(500)*5).\nAnswer: sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 2*s, 16*u + 2*s = 17*u + 5. Let a(r) = 5 - 2 - 962*r**2 + 953*r**2 - u. Let b(c) = -6*c. Calculate b(a(y)).\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6904*a**3*c - 6*a**3 - 4031*c + 7 wrt a?\nAnswer: 20712*a**2*c - 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 3, 8, 1, -2, 4 in increasing order.\nAnswer: -2, 1, 3, 4, 8, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471105 plus -8?\nAnswer: 3471097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 1 = 0. Let g be 3\/(((-4)\/(-12))\/l). Suppose -3*t - g + 15 = 0. What is the third biggest value in -1, -0.3, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -98, -174, -248, -320, -390, -458?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 21 = -5*q. Find the third derivative of -q*b**4 + b**2 - 4*b**4 - 22*b**2 - 5*b**2 wrt b.\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -67, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/6 - 36620*z\/3 - 73241\/6.\nAnswer: (z - 73241)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*(-1 + 4). Differentiate p**2 - 5 - c - 1 + 3 with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1030537 - 0.\nAnswer: 1030537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -8) + (16\/4 - 2). Solve v - 4*l + 12 = -a*v, 5*v = -5*l - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 119469199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/105 - 2*g**4\/21 + 8*g**3\/21 - 3*g**2 - 235. Factor r(y).\nAnswer: 4*(y - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:24 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65051861 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 - 163 + 112)*(0*b**4 - b**4 - b**4) to the form g*b**3 + w*b + v + n*b**2 + l*b**4 and give l.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813259156.\nAnswer: 2, 9851, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3\/3 + 935*c**2\/3 - 14725*c + 14415 = 0.\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 15458?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9*k**5 - 24*k**4 + 9*k**3 + 6*k**2 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -2\/13 (c) -1737 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 42 = 17*n - 3*n + 11*u, 0 = 5*u - 70 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhtoyzonoztoyyy. What is prob of sequence ntzo?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 7521, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5\/4. Let q = 50 - 48. Find z such that -1\/4*z**3 - 1\/2*z**q - w*z + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*-3*4\/36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*r - 3*r**4 + 10*r**4 + 15 to the form q*r + o*r**2 + s*r**3 + f + g*r**4 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 - 140*c**3 + 1200*c**2 - 2880*c = 0?\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/(2\/3). Suppose -4 - 28 = -h*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y + 87*y + 3 = 3*l, 2 = -6*l - 7*y + 9*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174460901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.8 + 33.837. Let x = d + -0.457. What is x rounded to two dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((258\/516)\/((-1)\/(-87)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - s**2 - 7*s. Let h(f) = -10*f. Calculate h(c(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 3)*(r + 0 + 0 + (-r - 5*r + 5*r)*(-2 + 0 - 1) - 9*r - 6*r + 2*r + (-1 - 1 + 3)*(-2*r + 4*r - 3*r)).\nAnswer: -100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*k + 2, 4*k - 29 = -2*q - 9. Let y be q\/((-12)\/(-9)) + 22. Solve 4*l = -l - y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 3, k: 4}. What is prob of picking 3 u and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(26\/(-52)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(-2\/5)))**(6\/7))**35 assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 85. Let a = -67 + 71. Sort x, 2\/3, a in descending order.\nAnswer: a, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -79.00000072. What is n rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10011100000010000111010?\nAnswer: -10011100000010000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41\/36 + 17\/9. Suppose 3 = -g + z, -3*g - z - 4*z = -7. What is the biggest value in 5\/2, r, g?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6473*r**2 + 64727*r + 1. What is s(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1810*w - 12681. What is t(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let x(r) = -3*r + 2. Let g(n) = -9*n + 6. Let o(y) = -4*g(y) + 14*x(y). Let a(i) = 4*f(i) + o(i). Let l(j) = j - 2*j - j + j. What is a(l(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 4 (c) 42 (d) 7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 99 - 5. Let i = -6 + -2. Let c = 11 + i. Solve k = -c*a + 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954072 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (108630\/72)\/(-85) + 18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 83?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3267350 and 3.\nAnswer: 9802050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88876.\nAnswer: 2, 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 31. Let i = -30 - c. Let j = -14.8 - i. What is j rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3807426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 215 - 171 - (17 + 6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3818 - -5372. Calculate the smallest common multiple of o and 168.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 13*d + 1. Let p be b(13). Let f(a) = p + 7 - a**2 - 8 - 5*a - 1. What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 404\/(-1616)*(-24)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901513361.\nAnswer: 37511, 77351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y - 14. Let c be s(-3). Let f(v) = 2*v - 5. Let w be f(-4). Let q = c + w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/12 - 13*h**3\/6 - 50*h**2. Determine s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-3 - -3) + 1 + (-6 - -2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57761?\nAnswer: 11, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3734 = -36*b + 1378. Suppose b = 2*t - 212. What is the smallest common multiple of t and 3?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/14, 3, -3\/4, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*3\/306)\/1*-6. Let j = -68 + 341\/5. Which is the closest to -0.1? (a) -3\/4 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -40. Let j = -240 + 252. Calculate the highest common factor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/2 + x**2 + x. Let w = 1 - -3. Suppose w*f + 0*f = 8. What is d(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12032\/5 + -2406. Which is smaller: a or 41.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:16 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 5*s - 9757 + 6*s + 3*s.\nAnswer: 14*s - 9757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127975 + -0.3?\nAnswer: 127974.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208*s**2*w + 4802*s*w - s + 7074356*w wrt s.\nAnswer: -416*s*w + 4802*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 56. Let t(s) = s**3 - 7*s**2 + 7*s - 5. Let o be t(6). Let b be 6\/o - (-4)\/(-2). Solve -i = b*i - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -33*d. Let y(k) = -18 - 646*k - 700*k + 1335*k. Determine y(l(c)).\nAnswer: 363*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 l, and 1 m when four letters picked without replacement from {n: 7, l: 3, m: 2, w: 1, r: 5, d: 2}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96681959 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1242397113 rounded to three dps?\nAnswer: 1.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 314?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2938182995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.2, -1.\nAnswer: -1, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) - (-184)\/18. Let o = -26 + a. What is the common denominator of 38\/o - 0\/(-6) and 39\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 + -141.0297. What is k rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 - 7. Suppose 0 = -k*q - 2*q - 440. Round q to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 3. Let f be g(2). Let d = -3 + f. Suppose u - 10 = -95*a + 93*a, 10 = 2*a - 3*u. Sort 3, a, d.\nAnswer: d, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -18*x + 1839. Let d = -58 - -82. Calculate the remainder when x is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 15. Let w be h(-11). Suppose 0 = -w*k - 0 + 12. Suppose 0*x - k*x + 27 = 5*s, -x - s = -11. Calculate the greatest common factor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-60)*46)\/(56\/70). Let a(v) be the second derivative of -6*v + 0*v**2 + 0 - 8\/3*v**3 + i*v**4. What is the second derivative of a(r) wrt r?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 48 = -9*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-11))\/((j**(-16)*j)\/j) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 849 (base 15) to base 5\nAnswer: 24434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 7*b**2 - 3393*b**4 - 14 + 3390*b**4 + 2*b as y*b + v*b**2 + k + s*b**4 + m*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-423)\/(-188) + 6187\/(-92)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**3 + 7*b**2 + 19*b**3 - 18*b**2 + b to the form d*b + g*b**2 + m*b**3 + i and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9456922 to the nearest integer?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 4*z + 62*z**2 + 11*z**2 + 5*z as v + u*z**2 + b*z and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11123 (base 4) to base 9.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -h - 3*h - 4*i, 2*i = 2*h. Let j be 2\/(-7) - (-48)\/21. Let c = 3 - -3. Solve h*k = -c + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-9))\/((-2)\/(-6)). Let p = 53 - 163. Let k = 107 + p. Which is the second smallest value? (a) f (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyywwf. What is prob of picking 3 f and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -38087 to the nearest 100.\nAnswer: -38100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-108) - 418\/18. Let j = -20 - z. Suppose -j*b + b + 48 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25181634.8 to the nearest ten thousand.\nAnswer: -25180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.11 - 0.08. Let i = 0.03 - y. Let h(f) = f**3 + 7*f**2 - 19*f - 5. Let d be h(-9). What is the closest to -5 in 3, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Suppose -14 = -0*a - 3*a + t, 2*a - s = -t. Let h be 33\/9 + (-2)\/a. Solve h*o - g + 27 = 2*g, -g = -4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42216*i - 21689*i + 0 + 0 - 20535*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -906099485 and 4.\nAnswer: -906099481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 0 - 18. Suppose -4*j - 74 = -r - 12, a*r - 59 = -5*j. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1324 + 1324. Let n(z) be the second derivative of -1\/2*z**4 + 0 + k*z**2 - 4\/3*z**3 + 19*z. What is the second derivative of n(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000031743 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0974125 weeks in minutes?\nAnswer: 981.918","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = z - 3, -2*i = z - i - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.2 + -8.1. Let o = 6.9 + d. Let u(y) = -y**3 + 6*y**2 - y + 3. Let w be u(6). Sort o, 1, w in increasing order.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.033 - 46.033. Let l = q - -43. Let z = -217\/30 + 41\/6. What is the biggest value in l, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 4*k**2 - 4*k**2)*(-6 + 161*k - 624*k + 6 - 747*k) to the form d*k**2 + a*k**3 + o*k + x and give a.\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2263 - 2277, 4*d = 2*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -162, 50, -4, 12, 0?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4\/7*o**4 + 0 - 4\/7*o**2 + 4\/7*o - 4\/7*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*i = 5, 15*l - 19*l + 25 = -i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -248, -424, -654, -956, -1348?\n\"Answer: -3*k**3 - 119*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a + 0*a + 6*a - 6*a to the form j + q*a and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6017174 bigger than -6017174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*21\/((-294)\/(-112))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 290, 436?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/1621089543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3058*m - 1660 with respect to m.\nAnswer: 3058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5470472 and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 2 + (4 - 3 + 0)*(4 - 1 - 2))*((2*h - 2*h + 7*h)*(-h - 4*h + 0*h) - h**2 - 8*h + 8*h).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*z + 36, -z - 6 = -4*r - 26. Solve 7*l = -z*l + 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192845 and 33.\nAnswer: 6363885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -15, 7, 0, -4 in descending order.\nAnswer: 82, 7, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -36.6. Sort -2, 2, v.\nAnswer: -2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12721624593\/14878244 - 5\/362884. Let b = -2894 + 2039. Let f = a + b. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -18*h + 10*h + 206115. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -474, 0.2, -8, 1\/40, -7.9, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34587 + 61?\nAnswer: 34648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**2 - 26*g**2 + 61*g**2 - g**3 - 17*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s + 1. Let z(j) = -j**2 + j - 3. Let a be z(0). Is o(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222421945*l**2*z**2 - 2*l*z**2 + 39*l*z - 2*l - z**2 + 4*z + 2575 wrt l?\nAnswer: 444843890*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 257*u**2 - 10*u + 13. Is w(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -239466*w**2 + 22*w + 28. Let u be c(-1). What is u rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/48)\/((-2)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 - 6. Let y be v(5). Let m be (4\/(-6))\/(1\/y). Let i be ((-10)\/3)\/((-2)\/6). Calculate the greatest common factor of m and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6986*w - 2 + 87 - 9 - 76 to s + z*w and give z.\nAnswer: -6986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-854)\/(-976))\/((-2)\/36). Which is greater: b or -17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -1637\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/2*(-4)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 19, 0.04.\nAnswer: 0.04, 5\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1167628 or -1167599?\nAnswer: -1167599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 11*a - 59.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -2.202.\nAnswer: 0.8808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 988608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 11, -5, 15\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68638793 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:49 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23 - 2) + 3\/(-3). Solve b = 4*q - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2247a + -a2?\nAnswer: 223c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4321*q**3 + 3816*q?\nAnswer: 25926*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 + 524*c + 15. Let g(a) = a**2 - a + 3. Give -5*g(n) + x(n).\nAnswer: n**2 + 529*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((28\/4)\/7)\/(2\/292). Let h be -19 + 14 - z\/(-10). Find j, given that 12\/5*j + h*j**3 + 8*j**2 + 4\/5*j**5 + 24\/5*j**4 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**3*q - 2*h**3 + 39827*h**2*q + 38446*h*q - 13*h + 2*q + 8 wrt h?\nAnswer: -54*h*q - 12*h + 79654*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztfq when four letters picked without replacement from tzfqzzzo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10935 = 4*t - 4041. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/(-69))\/((-5)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 minutes before 9:23 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1257*j**2 - 2514*j**2 + 3*j - 143*j**4 + 1259*j**2 to the form y*j**4 + c*j**2 + l*j**3 + v + s*j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 60. What is the second derivative of -98*f**5 + 8*f**o + 180*f - 54*f wrt f?\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 + o - 2. Suppose -2*q - 1 + 11 = 4*p, 2*q - 10 = 0. Let h be x(p). Suppose -3*i = 2 + 10. Put i, -1, h in decreasing order.\nAnswer: -1, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102469 - 69881. Let o be -2*u\/4 + -6. Round o to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 9) to base 10\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3151 (base 6) to base 7\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 3 + 6 - 2 - 12 + 3*v**3 + v**2 in the form u*v**2 + a + s*v**3 + m*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*u + u + 7, 0 = f + 3*u - 2. Let y(x) = 2*x - x - 4*x - 1 + 0*x. What is the units digit of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-3*j**3 + j**3 + j**3) + 257*j - 257*j - 14*j**3 - j**3 + 0*j**3 + 3*j**3 + (0*j**2 - j**2 + 0*j**2)*(6*j + 6*j - 16*j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6359.768363 + 6369.568. Let b = y - 9.8. What is b rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)\/p)\/(p**(-1\/3)*p*p))**(-5\/13)\/((p*(p\/((p*p**(-1\/2))\/p))\/p)**(1\/41)*(p*p**(-4))\/p*p**(-2\/13)) assuming p is positive.\nAnswer: p**(27517\/3198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-2 + (sqrt(567) - (sqrt(567) + sqrt(567) + -2 + -1) - sqrt(567))) + 3)*-1)**2.\nAnswer: -1440*sqrt(7) + 56764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 8. Is (-1 + -2)\/c*489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44132 and 472.\nAnswer: 88264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -61. Let f = 13 - 8. Put g, 4, f in descending order.\nAnswer: f, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-72)\/(-3)))\/(14\/(-8)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 4, u: 1, w: 3}. What is prob of sequence ss?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/4 - (-7 + 11). Let k = 2.06 - 0.06. Put a, k, 2\/11, -1\/6 in decreasing order.\nAnswer: k, a, 2\/11, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {w: 4, r: 4, m: 1, z: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567856, 1135735, 1703614?\nAnswer: 2271493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -4. Let h = -59867 - -59877. What is the closest to -1 in n, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -8 + -5 + 6 + 1 - (-35 + -5)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*a - 1582*a - 8 + 527*a + 525*a.\nAnswer: -11*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -24, -10, 20, 72, 152, 266?\n\"Answer: w**3 - w**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 3*w - 2. Let u(v) = v**2 - v. Let d(p) = -g(p) + 3*u(p). What is the tens digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 4871*l**4\/6 - 4*l**3\/3 - 155*l**2\/2 - 1240*l + 3. What is the second derivative of v(u) wrt u?\nAnswer: 19484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*d = 3*c - 7409, 3*c + 5*d = -22185. What is c rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3 - 3 + 650*m - 648*m - 6 + 3. Calculate g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31610000 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 132. Put 1, -7, n in increasing order.\nAnswer: -7, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - m = -k - 2137, 0 = -2*m + 4. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.07 + 1. Let n = c - 0.93. Let b = 3 + -5. Which is greater: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 - (5 - -1 - (-12 + (21 - -14) + -8)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 0, 3, -9 in descending order.\nAnswer: 4, 3, 2\/3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i**2. Let k(j) = 5*j. Let c be 2\/6 - (57\/9 - 1). Let u(b) = 4*b. Let w(z) = c*k(z) + 6*u(z). Calculate w(d(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus 55091.4?\nAnswer: -55077.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258238, -2065942, -6972574, -16527598, -32280478, -55780678, -88577662, -132220894?\nAnswer: -188259838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/60 - q**4\/4 + 2*q**3\/3 + 6*q**2. Factor g(u).\nAnswer: 2*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6804\/19 + -358. Which is the nearest to -1? (a) 4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 60340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -94, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34764746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -178\/5, 1\/4, 7\/19, -0.2, 2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 64 = a, -3*a = v - 0*a - 8. Solve -2*y + 5*i - 43 = -14, 0 = -4*i + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -22 (b) 0.2 (c) -2\/11 (d) -1080 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 569*-3\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*x = -204*x + 996993 - 12103143. List the prime factors of x.\nAnswer: 3, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v + 3 - 3)*(-3 + 4 + 1) - 12 + 12 + 4*v)*((3 - 3 - 2*v)*(-3 + 2*v + 3) - 4*v**2 + 5*v**2 - 3*v**2).\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 - 1115\/6. Sort x, 7, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.145091 rounded to one dp?\nAnswer: 491.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0 (b) -26 (c) 0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a + 2. Suppose -4*q - 2*q = -6. Suppose -6 = t + 2*t, -v - t + q = 0. Determine x(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 1 + 0*z**3 + 3*z**3 - 4*z**2. Suppose 1 - 9 = -4*r. Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.2 and 42.\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -93*k**2 - 2630*k - 134. Let w(z) = -94*z**2 - 2635*z - 132. Let h(m) = -14*i(m) + 13*w(m). Factor h(p).\nAnswer: 5*(p + 32)*(16*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*g = -16, 3*o + 0*o = 2*g - 32. Let a be 14\/10 + o\/(-20). Is 22 a factor of 135\/(6\/a) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-9\/5)*g*g\/(g\/(g**(-4\/9)*g))*(g**8)**(2\/75) assuming g is positive.\nAnswer: g**(218\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m - 805999 - 986694 = -273845. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/2*-2 - -3. Let x = -31 + z. What are the prime factors of (-6)\/x - 18\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 + 4*g - 1. Let m be h(-4). Let z = m - 21. Let i = z + 4. Which is smaller: 1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Let m = -2 + s. Let p = 0.95 - 0.95. What is the second smallest value in p, m, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 8. Let f(n) = -4*n. Calculate f(s(r)).\nAnswer: -16*r - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -6, -131, 4 in descending order.\nAnswer: 4, 3\/5, -6, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3455*n - 3456*n + 3*k = -48, -2*k = -2*n + 32 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466866 is divided by 466773.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3122232?\nAnswer: 3122231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 274580, 274579, 274578, 274577?\n\"Answer: -i + 274581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42\/61 + 1643\/183. Calculate the common denominator of c and (-3572)\/95*(4\/(-16))\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43813, -43787, -43749, -43699, -43637, -43563?\nAnswer: -43477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**7\/840 + x**6\/120 + 11*x**4\/24 + 14*x**2. Let d(h) be the second derivative of l(h). Determine u so that d(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 - 3*k**3 + 2 + 17*k**3)*(k - 5*k + 0*k) as c*k + h*k**4 + j*k**2 + u + n*k**3 and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 13*g**2 + 11*g - 12. Let t be h(-12). Suppose -2*q = n - 83, 2*q = -t*n - 5*n + 87. What is the greatest common factor of 123 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103*26\nAnswer: 2678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33064, 60658, 88252, 115846, 143440, 171034?\n\"Answer: 27594*k + 5470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u + 107*u - 23*u - 18*u - 26*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -5.009484\nAnswer: 3.5066388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 3\/8, 2, 5\/8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(567)*2 + sqrt(567))**2*-6 - sqrt(567))*2.\nAnswer: -108864 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685 - -686. Solve 5*n = 3*n - 5*h - 17, n + h + m = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325))**2*2 + sqrt(130)\/(sqrt(20)\/sqrt(2)) + sqrt(13).\nAnswer: 2*sqrt(13) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*l + 11 - 0, -2*l = 3*m - 8. Which is bigger: -1\/246 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*v = -166*v + 91 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2)\/1 + (-30 - 0). Which is greater: f or -29?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 465685749 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 12*c + 7. Let l be h(-12). Solve k + 0*k - 4*n = -24, 2*k + 3*n - l = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -421244532 and -7.86.\nAnswer: -421244539.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/5, 80, -5 in decreasing order.\nAnswer: 80, -2\/5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1.8. Let u = -49.3988 - 0.0012. Let l = u - -49. Which is the nearest to 0? (a) l (b) v (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 14\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1687)\/(-6) - (-5)\/6. Suppose -6*b = -480 + f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122002988.\nAnswer: 2, 149, 277, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -92, -220, -410, -668?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 132.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/365 and -9\/11.\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - (-81 + 90)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 754881919*c**4 - 699422768*c**2.\nAnswer: 18117166056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r = 5492 + 2780 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 4 - (14 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uog when three letters picked without replacement from luguolioiwug?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27394395 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -115*t**4 - 110*t**3 + 15*t**2 - 10*t - 50. Let c(s) = -4*s**4 - 3*s**3 - s - 1. Let v(r) = -30*c(r) + q(r). Suppose v(g) = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + 2*a - 5. Let v(s) = 9*s**2 - 3*s + 9. Let y(t) = -11*f(t) - 6*v(t). Let q(r) = -4*r**2 + 13*r - 4. Give -2*q(o) - 7*y(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1301 - 2603\/2. Which is the closest to 2? (a) -33 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001382 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z + 3. Let w be k(-3). Let p(m) = m**3 + 392*m**2 - 1583*m + 401. Let n be p(-396). Which is the biggest value? (a) 0.3 (b) -2\/7 (c) n (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-63)*1)\/((-3)\/(-7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 158 + 32 - 101 + 42*t**2.\nAnswer: 42*t**2 + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 13, u: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 67*r - 871. Let t be q(13). What is the closest to t in 2\/41, -2\/7, 3, -21?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 195 = -216. Let i(o) be the first derivative of -o**3\/3 + 11*o**2\/2 - 10*o - 6. Calculate the remainder when 89 is divided by i(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.780476mg in tonnes?\nAnswer: 0.000000002780476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*m + 181*m - 3278 - 5972 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 6710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 4. Let o(n) = 0 + 6 + 1 + 11*n. Let t(c) = 7*k(c) + 4*o(c). Let b(w) = -8*w + 5. Let x(v) = -v + 1. Let q(p) = -b(p) + 5*x(p). Give t(q(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -9*a + 11\/2*a**2 + 6*a**3 + 1\/4*a**4 + 8. What is the units digit of w(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 3*i = -11*i. Let h(q) be the third derivative of -1\/10*q**5 + 0*q**3 + 12*q**2 + 11\/24*q**4 + 0*q + i. Find the second derivative of h(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 46. Let u(h) = 47*h**2 - h + 4. Let v be u(1). Let c = v + y. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose 38 + 19 = z*q. Suppose -61 = -5*n - 4*u + 56, -n + q = 3*u. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490724811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 - 170. Put -4, -11, j in decreasing order.\nAnswer: j, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 611616.99752 - 611579. Let y = -0.77 - -38.77. Let n = y - u. What is n rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**5\/h)\/h)\/h**2*h**(5\/7)*h\/h**7 assuming h is positive.\nAnswer: h**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350410 (base 6) to base 4.\nAnswer: -13110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197955 and 1378?\nAnswer: 5146830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (298\/5)\/(8\/130). Let x = j + -933. Find the common denominator of -2 + 2 + 245\/(-77) and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t - 4*t + t)*(0 + 2 + 0) + 0*t + 0*t + 6*t)*(-2*t + 12*t + 17*t).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14510 times 31?\nAnswer: -449810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*14\/21*(-209)\/38?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) + -4 + sqrt(1573) + -2)) + sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + 2.\nAnswer: 7 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let j(i) = -42*i + 77. Let d(t) = -14*t + 28. Let a(h) = 11*d(h) - 4*j(h). What is r(a(c))?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:09 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnl when four letters picked without replacement from lllnlnnl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(63)\/sqrt(3)*3 + (sqrt(21) - sqrt(3024)*-1))\/(sqrt(363)*-1 + 1*sqrt(243)).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**4\/24 + 5*x**3\/3 + 3*x**2. Suppose j - 10 - 5 = 3*m, 2*m = -4*j + 18. What are the prime factors of u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -18 + (3\/15)\/(24\/680))\/(-11).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2 + 5*p + 3. Let v be y(-3). Let s(k) = -v*k + 33*k + 2*k**2 + 3*k**2. Let g(w) = -w. Determine g(s(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 5*z - 6. Let c be h(5). Suppose 0 = -23*l + 18*l + 25. Let g(i) = i**3 - 4*i**2 - 2*i - 11. Let j be g(l). Put -5, j, c in ascending order.\nAnswer: c, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 138233 - -5?\nAnswer: 138238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -t - 6. Let o = 387\/7 - 832\/21. Find the common denominator of (-2)\/(-15)*(-4865)\/t and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -21021100210?\nAnswer: 21021100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/15 + (-6)\/30. Differentiate -p*v**3 - 6 + v**3 + 6 + 4 wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)\/((-5)\/15). Let n be a + (0 - 0 - -81). Let u = n + -56. Solve -4*j = 5*c + 6, -c = -4*j + 2*c - u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 662 + -661.9. Which is the closest to h? (a) -2\/17 (b) -21 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -42\/41 (b) 0.04 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1608)\/(-16)*(-10)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1371, -1380, -1391, -1404?\n\"Answer: -r**2 - 6*r - 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020207304229 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let m(s) = s**2 - 82*s - 2. Let i(d) = 2*d**2 - 82*d - 3. Let t(w) = 2*i(w) - 3*m(w). Determine t(q(g)).\nAnswer: 4*g**2 + 164*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 3*t - 14. What is the tens digit of j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l - 4123. Let d(k) = 4*k - 2. Calculate -c(z) + 4*d(z).\nAnswer: -2*z + 4115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0014954, -5, 3\/8, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000110100101110011001 (base 2) to base 5.\nAnswer: -4200321234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-126)\/(-36)*(-8)\/(-14). Solve -2*p + 6*p = -q*r + 20, 0 = r - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 3. Suppose s*l - 30 = -l. Solve 11 + 7 = 4*k - 5*d, -l*k + 16 = -3*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26057010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u + 12. Let g(n) = 15*n - 25. Let y(i) = -6*g(i) - 13*t(i). Suppose 0*q - 5*q + 20 = 0. Give y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let w(v) be the first derivative of -v**2 + 83*v + 8699. Calculate w(x(z)).\nAnswer: -6*z + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 73238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.26 take away 4551.35841?\nAnswer: -4583.61841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u. Let y = -4 + 6. Let l = 561 + -559. Let s(i) = 8*i**2 + 12*i**y - 22*i**l. Calculate s(t(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6*l = -30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - v**2 + 0 + (-4*v**2 - 2*v**2 - 6*v**2)*(90 + 76 + 15).\nAnswer: -2173*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462898171*m**6 - 6211*m**2 + 2803*m - 6?\nAnswer: 55547780520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 37\/7, 0.2, -42, -0.5?\nAnswer: 37\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3823, -7588, -11311, -15004, -18679?\nAnswer: -22348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 713*i**2 - 806*i. Let z(y) = -11*y**2 + 12*y. Let q(r) = -6*x(r) - 403*z(r). Let m(j) = -5*j. Calculate m(q(c)).\nAnswer: -775*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4267 - 4267 + 1569*b**3.\nAnswer: 1569*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 16. Suppose -44*n = -45*n + 6. Suppose -2*j = n, 0 = -k*o + 3*o - 2*j + 2. Calculate the smallest common multiple of o and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/5 + 4*h**3\/5 - h**2 + 2*h\/5 = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) 343\/9 (d) 0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571193059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -148. Suppose 2*i - 16 = 12*d - 10*d, 0 = 3*i + d - a. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52602 = -3514*l + 76893 + 225419 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/2 - 5841432*u + 58414470 = 0.\nAnswer: -3894298, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, 74 in descending order.\nAnswer: 74, 3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) 6 (d) 0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 w when four letters picked without replacement from hhkkwhwwmmmkm.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254173530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 10. Is 6\/(-9)*-123 + z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u + 122 = 4*u. Solve 0 = j + u*v - 3, j - 1 - 2 = 3*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 61 = -255*v - 121 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)*(y**(6\/11)\/y)\/y*(y*y**7)\/y**(-2\/21))\/(y**(-6)*y\/((y\/((y**(-1\/6)\/y)\/y))\/y)*(y*y**(1\/4))\/y**(-3)) assuming y is positive.\nAnswer: y**(17893\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*t + 163*t + 428 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -76*z + 1552. What is n(22)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k)**(5\/12))**(1\/4)*(k**(1\/3)*k\/(k\/(k**(-2)\/k)*k))\/((k\/(k*k\/(k\/k**(-1\/13)))*k*k)\/k*k\/k**(-3)*k) assuming k is positive.\nAnswer: k**(-2005\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 13*a - 25*a)*(586*a + 7*a**2 - 586*a).\nAnswer: -105*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 1. Let n be (-19)\/(-5) + (-2)\/(-10). Let a be 2\/n - 3\/(-6). What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5992\/11 or 546?\nAnswer: 546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13411399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2141030 + -3105?\nAnswer: 2133521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93938345.\nAnswer: 5, 17, 1105157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (168\/(-35) + 5)*35. Solve -13*a + w*a = -24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -160795, -4, 1, -0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 332.5 - -27.5. Let o = 360.0557 - h. Round o to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24523 and 716.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 45 - 56\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2597486*v**2 + 16021241*v wrt v.\nAnswer: 5194972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 22*u - 24*u + s, -8 = -4*u - 4*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 3*a**2 + 3*a**2)*(0*a**3 - 5*a**3 + 4*a**3) + (-2*a**4 + 2*a**4 + a**5)*(9 - 19 - 5) - 7*a**5 + 4*a**5 + a**5.\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)\/(s**(-6)\/s))\/(((s\/s**(1\/4))\/s)\/(s*s**(2\/15))) assuming s is positive.\nAnswer: s**(503\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(2\/29))*w*w*w\/(w**0*w))\/(((w**(1\/8)\/w)\/w)\/(w\/((w**(-17)*w)\/w)*w)) assuming w is positive.\nAnswer: w**(5323\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10703*j**3 + 1 - 4 + 10700*j**3 + 30 - 27.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 2*o**3 + 0*o**3 - 13 + 1 - 1 - o**3 + (2*o + 4*o - 4*o)*(-2*o**2 + 0*o + 0*o) + 4*o - 4*o + 2*o**3.\nAnswer: -4*o**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 41*j**2 - 4*j - 4. Let n(c) = -174*c**2 + 17*c + 17. Let a(w) = 17*l(w) + 4*n(w). Let r(q) = 10*q - 7. Give a(r(s)).\nAnswer: 100*s**2 - 140*s + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, 21, 34, 49?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 33. Suppose -y + 0*y = -57. What is the remainder when y is divided by 182\/9 + ((-4)\/v)\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 3633?\nAnswer: -3632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1492916, 1492968, 1493054, 1493174?\n\"Answer: 17*t**2 + t + 1492898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 322b0 + e6?\nAnswer: 323a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -91\/3. What is the biggest value in u, -4\/5, 3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -235911732186.\nAnswer: -235911732186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 25831.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 63*m**3 - 136*m**2 - 444*m + 136. Let d(k) = 21*k**3 - 45*k**2 - 147*k + 45. Let r(a) = -8*d(a) + 3*h(a). Solve r(b) = 0.\nAnswer: -2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 11*a**2 + 17*a - 7. Let d(b) = 2*b**2 + 2*b - 2. Let z be d(2). Is y(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20 + (-16576)\/828)\/(14\/63). Let d be (1 - -1)\/(3 - 2). Which is the closest to 2\/5? (a) -1 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3, -15, 3, -24, 5 in descending order.\nAnswer: 5, 3, 2, 0, -3, -15, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 5 + 10*g**2 + 13*g**2 - 2*g + 4 to the form n*g + f*g**2 + q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25228 + 50539 - 25311 - 11*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 5, n: 10}. Give prob of picking 1 n and 1 g.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*d - 701*d = -975. Suppose 3*u - 51 = -g - 0*g, -5*u - 19 = -g. Let k = d + g. Solve 0 = -4*y + 3*z + 1, -5*y = -k*y - z - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(52)\/sqrt(4))**2 + ((sqrt(13) + 0)*2)**2 - (-3 + 0 + sqrt(208) + (-2*sqrt(208))**2 + 2).\nAnswer: -765 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 5. Suppose 0*h - u*h = -4*r - 258, -4*r + 92 = 2*h. Let k = 103 - h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139584.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -3\/5, -1.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iozijjjaziz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t. Let o(p) = 7524*p. Let k(b) = -2964*l(b) + 2*o(b). Let s(y) = -9*y**2. Give k(s(m)).\nAnswer: -2052*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9504 - 9288. Solve 0 = 4*w + 32*w - n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6688536 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 8*q - 4. Let l(s) = 53*s + 9. Is l(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/172850 and 53\/19.\nAnswer: 3284150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**2 - 52*a + 1. Give s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.31 - 0.21. Let j = -3 + w. Let b = -1100 - -1097. Is j equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5 - 1) + (-1099999936)\/80. Round s to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l - 4. Let p(v) be the third derivative of v**2 + 0 - 1\/6*v**3 + 1\/24*v**4 + 0*v. Suppose -7 = 7*x - 0. What is x*o(j) + 6*p(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from eeeeeeemeememeer?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -131 - -7?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 0. Let x(a) be the first derivative of 2 + d*a + 3\/2*a**2 + 2\/3*a**3. Find the second derivative of x(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.64?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4536 and 44352.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -41600 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -2\/65, 1\/14, -6\/5 in increasing order.\nAnswer: -6\/5, -2\/65, 1\/14, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {w: 1, u: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 + 122. Let f(u) = u**2 - 14*u + 26. Let a be f(q). Let o be (-296)\/(-176) - 3\/a. What is the closest to 2\/3 in 4, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672159646.\nAnswer: 2, 101, 3327523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:26 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(2*1\/4). Let n be -4 + g*4\/((-16)\/(-3)). Solve 0 = -5*y + 8 - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 750 = -19*d. Let t(y) = 4*y + 143. Let w be t(d). Which is bigger: w or 0.209?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115666 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1704*j + 441*j + 143715 = 0 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*f - 24 = 0, 4*n - 5*f + 0*f = 21. Let a(o) = o**2 - 5*o + 2. Let r be a(n). Is r + -467*(-15)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 12:31 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3641 - -2?\nAnswer: -363e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 665. Suppose x + z = 6*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + k + 8. Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -36. Suppose k = 3*n - 0*d - 2*d, 0 = -4*n - d + 39. Suppose 3*f = -n + 21. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13906 + 13910. Solve 1 = w + i + g, i - 2 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 35*k**2 + 28524*k + 112728. What is m(-811)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:33 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 232*b**3 - 1453*b**2 - 5968*b - 4284 = 0.\nAnswer: -238, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1194310 and 67\/458.\nAnswer: 273496990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154545?\nAnswer: 3, 5, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 44303.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b241 (base 12) in base 5?\nAnswer: -1104340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60622*b**2 - 4*b**3 + 60622*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/59)\/(1\/7)*12\/126.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 37 + w + 25 + 2*w. Is g(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 676417 and 781?\nAnswer: 7440587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47051438 to 2 decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42.10213 and -16526.3.\nAnswer: -16484.19787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2859238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -2. Let d = 16 - y. Sort -5, -4, d in descending order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -496 + -0.1.\nAnswer: -496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 0 - (-23 + 37)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4495146 rounded to 3 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151 - 32 + 252 + 317 - 30*x - 185*x wrt x.\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1)**(-10)\/(k**(1\/2))**21)**(-2))**24 assuming k is positive.\nAnswer: k**984","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - 3255\/(-168) - -18.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3903\/16 + -240. What is the common denominator of 1\/(-1) + 70\/(-4) and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obob when four letters picked without replacement from bobbbo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (-63)\/105 + 286\/10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00186646 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from 4.9267.\nAnswer: 4.7967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 13*l**2 + 11*l - 17. Is a(13) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1.2. Let n = 1.764 + m. What is n rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 31*s - 32*s. Let n = s + 377. Suppose -2*o - 3*b = -7*o + 315, 5*o - n = b. Calculate the remainder when 192 is divided by o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -623*o**3 - 3*o**2 + 7*o - 5. Determine q(1).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 27091*c**2\/3 + 36117*c - 27087.\nAnswer: (c - 27087)*(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 4*p**2 + p**2)*(-2*p - 2*p**3 + 2*p) + 0*p**5 - p**5 + 3*p**5 - 2*p**5 + 0*p**2 + 0*p**2 + p**5 + p**5 - 3*p**5.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*(-4)\/(-20))\/(2\/183). Suppose 85 = -3*b - 140. Let r = b + t. Is -1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 2, 1.1, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17\/3*(51 + 18) is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-13 + -41) - 13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 27*m - 3060. Give c(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 90. Calculate the remainder when 52 is divided by g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267640234.\nAnswer: 2, 1531, 87407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 - 3*s + 3*s + 50*s**2.\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 23. List the prime factors of ((-10)\/5)\/o - -218.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35a (base 14) to base 6\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 16. Let l be r(-8). Let d(m) = -7 + l - m + 0 - 10*m - m**2. What are the prime factors of d(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -125420)\/((13\/2 - -5) + -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f (base 16) to base 13.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5558 > -5559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0543 + -2.7843. Let a = 0.27 - r. What is the second smallest value in 0.6, a, 0.01?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6334 times 3.96\nAnswer: 25082.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121220844.\nAnswer: 2, 3, 10101737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170172 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 12) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3514772764968 - -0.1.\nAnswer: -3514772764967.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1.17775\nAnswer: 2.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + 104?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 13 - (-2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + ((1 + sqrt(76) + sqrt(76) + -1)**2 - (sqrt(76) + 5 + sqrt(76)*2)).\nAnswer: -6*sqrt(19) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 5*w**2 - 3*w**2)*(2 - 1 - 2)*(-4 - 3 + 2)*(4 - 5 + 0).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98779.\nAnswer: 98779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -5*d, -4*t + 80 = t + 5*d. Suppose 5*u - 20 = -4*l, 5*l - 3*l - 8 = -2*u. Suppose l = -7*a - t + 40. Let n(y) = -y**2 + 5*y - 5. Give n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 750\/246) + 4. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438\/730 + 186\/(-1020)*2.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + v + 138. Let s be a(0). Let b = 619\/4 - s. Find the common denominator of -75\/4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + -9 + (28 - 16) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t + 3. Let c(p) = p + 1. Let j(x) = -4*c(x) + l(x). Let n be j(-7). Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 21819 in decreasing order.\nAnswer: 21819, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 607 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47401 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -11 + 5 + (10 + -7 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 3, h: 1, w: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 21*r - 103, 0 = -j - r + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 - 44. Let x = k + -33. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*w - 22*w + 27*w + 2)*(-2 + 2*w + w - w) to the form r*w + m*w**2 + a and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u + 43 + 65. Let d be -4 + (-8448)\/(-9)*u\/(-6). Suppose -5*c - c + d = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25732039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2744357000 to the nearest one million.\nAnswer: 2744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26418 + 26427. Calculate the highest common divisor of 6543 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72328200 a multiple of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n**2 - 7. Let j(i) = -4*i**2 - 3. Suppose f - 8 = -11. Determine f*d(y) + 7*j(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) 4340 (c) -0.2 (d) -2 (e) 1.7 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 32177 and 32168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 1, n: 1, m: 1, x: 2, z: 1}. What is prob of sequence xvx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155310819, 155310815, 155310809, 155310801?\nAnswer: 155310791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -28088281 to the nearest 100000.\nAnswer: -28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - j - 32, 2*t + 23*j - 19*j + 32 = 0. List the prime factors of (-10)\/((-60)\/1629)*t\/(-3).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)\/(1\/(-7)). Let k(q) = 3*q**2 - 18*q - 10. Let v be k(o). Let i = v - -38. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 0.02. Suppose 2*w - 1 = w, -40 = c + 2*w. Let q be (-29)\/c + (-42)\/49. What is the fourth biggest value in q, 1, g, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z*z\/((((z\/z**(8\/9)*z)\/z)\/z)\/z))\/(z**(-12\/7)\/(z*z*z**(-22))) assuming z is positive.\nAnswer: z**(-3817\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.41 + -2.563. Let j = 0.353 + k. Suppose -4*x = -2*x + 2. Which is the second smallest value? (a) x (b) -2\/5 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/165*(-75)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 15*q - 83. Solve k = q*k + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 0*g)*(2 - g - 2) + 9*g**2 + 1613*g - 2*g**2 - 1870*g.\nAnswer: 6*g**2 - 257*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413103 + 10?\nAnswer: 413113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -188*i. Let f(o) = 3*o. Determine f(x(b)).\nAnswer: -564*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -2 + 3)**2 - ((sqrt(64)\/sqrt(8))**2 + -2 + sqrt(8)) - (3*-1*((sqrt(72) + sqrt(72) + 2 + -2 - sqrt(72)) + sqrt(72)))**2.\nAnswer: -2589 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.6 - -21. Let b = 8.6 - c. What is b rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-189)*175\/(-3675)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*f**2*j**2*w + 15*f**2*j*w + f**2*w + 42*f*w - 6*j**2*w + 5*j*w + 2*j wrt f?\nAnswer: -96*j**2*w + 30*j*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 + -56. Let k = j + -299.9308. Let u = -0.07 + k. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21112 - -13?\nAnswer: 21125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 16. Let n(b) = 676*b + 682. Let l(q) = 2*f(q) + n(q). What is the first derivative of l(z) wrt z?\nAnswer: 4*z + 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 13) in base 6?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 10*o**2 - 8*o + 11. Is k(-9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - z**2 + (4 - 5 + 2)*(0*z**2 - 2*z**2 + 0*z**2) - z**2 - 2*z**2 + z**2 + z - z + 2*z**2 + (z - z - 2*z)*(2 + z - 2).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 45*n - 1. List the prime factors of s(1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 2, x: 2, r: 7, y: 4}. What is prob of picking 1 s, 1 x, and 2 l?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9576, -19153, -28730, -38307?\nAnswer: -47884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82.9999929 + -83. What is v rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let h = 2 - l. Let r(p) = 5*p - 51. Let g be r(11). What is the highest common factor of g and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 506.\nAnswer: 505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**3 + 2*o**2 - o. Suppose -v - 47 = 2*k - 6*k, -v - 4*k = 23. Suppose -23*d - 1462 = 20*d. Let r = d - v. What is i(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/7*4\/110?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*s + 3698 = -36006 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 4, j: 1, o: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.53 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*a + 28*a - 541 = 2294 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285811641?\nAnswer: 3, 31756849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, -1\/3, -2\/13, 6623?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 318*q**3 - 3660*q**2 + 18552*q - 19872 = 0. What is q?\nAnswer: -92, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 10*f + 1656 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -856370 at most as big as -855986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 - 354971814*f\/5 - 10500415727870883\/5.\nAnswer: -3*(f + 59161969)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose p = -4*z + 2*g + 10, 3 = z + g + 5. Suppose -a - 9 = -4*a. Solve -k = a + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11059.571 from 10673.38.\nAnswer: 21732.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 67*i - 530. Calculate h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 3:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113845?\nAnswer: 5, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 - 11*t**2. Let v(x) be the third derivative of x**4\/24 - x**2. Determine q(v(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-3 - 5 - 0 - (-11 - -1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 - 2*l - 2. Let s(t) = 36*t**2 - 9*t - 9. Let f(v) = -9*n(v) + 2*s(v). Let g(m) = 9760*m**2 - 4878*m**2 - 4887*m**2. Give g(f(d)).\nAnswer: -405*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1079232 divided by 269808\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*o - 295 = -2*x, 0 = 4*x - o - 221. Suppose 2*q + x = 6*q. Let s = 1 + 3. Calculate the remainder when q is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -864049*h**5 + 70861*h**2 + 1 wrt h?\nAnswer: -51842940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 2. Let y be m(5). Let x be ((-2)\/y)\/(9\/(-27)). What is the fourth smallest value in 3, 0.2, x, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 11724 + 2624 = 0. Suppose -12*h + l - 508 = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 + o + 7. Suppose -1 - 4 = 4*g - 3*x, -3*g = -x + 10. Determine k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -1\/11 in ascending order.\nAnswer: -1, -0.3, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -36?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -30385438.\nAnswer: -1\/30385438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -8 (b) 0.15 (c) 0.3 (d) -3 (e) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41931732 and 74?\nAnswer: 1551474084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.860056 years?\nAnswer: 0.003860056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6349 and 329241.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 528, 504, 460, 390, 288?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604391 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r - 24 = -5*k, 0 = 2*k - 3*r - 4. Solve -5*d = -k - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59519 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21817*p**3 - p - 899?\nAnswer: -130902*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -4, 0.06, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11488, 23785, 37712, 54085, 73720, 97433, 126040?\n\"Answer: 136*h**3 - h**2 + 11348*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87249, 174496, 261741, 348984, 436225, 523464, 610701?\n\"Answer: -q**2 + 87250*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 9. Let a = 7 + t. Solve -5*b = -a*d - 0*d, -5*b - 5*d = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3047 is divided by 1011?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312*n**5 + 598*n wrt n.\nAnswer: 6240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (49318\/3)\/((-14)\/(-21)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.63 and 0.4?\nAnswer: 0.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k + 10. Let y be i(-1). Let u be (-2 - 2)*(-2)\/4. Solve g + 8 = -u*m + 2*g, 0 = y*m - 4*g + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:44 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2630 - -2635. Let v = -0.012 + 1.052. Let u = v + -0.04. What is the third biggest value in u, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*t + 113*t + 106*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o. Suppose 3*a + 19 = y, -5*y + 3*a + 45 = -2*a. Let w be n(y). Is w > -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2*t**3\/63 - 1628*t**2\/7 + 3975576*t\/7 - 6438. Suppose w(x) = 0. Calculate x.\nAnswer: 2442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*a - 504 = 0, 4*w - 3*a - 791 = 227. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350274837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26375838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2852 from -2.66.\nAnswer: -2.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.11113\nAnswer: -0.055565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -38, 0.1, -2\/585, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (1 + 1) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 165005 = 5*q - 0*d, 0 = d - 5. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 17 - 241 = 0. Let u = -91 + g. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 38*a - 122. Let y be l(31). Suppose 24*s + 2*k - 806 = 21*s, -y = -4*s + 2*k. Does 38 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 2 + 0)*(0 - 5 + 2) - 1 + 13 - 6)*(-13*r + 24*r + 2*r) in the form l*r + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5414 + -5417.1104. Round y to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597*z + 403*z**4 + 292*z**4 + 444*z**4 - 231*z**4 + 30*z wrt z?\nAnswer: 10896*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 271 (b) -41 (c) 21 (d) 3 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -w, 41832*w = -4*p + 41826*w + 74 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - y + 3*y, 8 = -4*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/3 + d**2 + 6*d. Let y be o(-2). Let z be -7600*y\/(4\/5). Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*v + 35, -135*v - 20 = -l - 132*v. Solve 8*m + 15 = 3*m - l*s, -m - 2*s = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 2812.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/9 - 46*m**4\/9 - 10442*m**3\/9 - 235538*m**2\/9 - 44336*m + 71672 = 0?\nAnswer: -34, -3, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3829 + 6486. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 4, x: 1, v: 1, u: 3}. What is prob of picking 2 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 5, g: 9, l: 2}. What is prob of picking 2 n and 2 g?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/20 - 42\/(-8). Suppose 3*d = -l*t + 17, t - 5*d + 3*d = 6. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 2597, 6543, 12233, 19661, 28821?\nAnswer: 39707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -75915, 7, 4, 0 in increasing order.\nAnswer: -75915, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 51*u - 252. Let o be i(5). Solve 5*a + 14 = 4*j + 1, o*a = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 11*d - 11. Let u be -1 - (-10 - (4 + -2)). Let o(y) = y**3 - 8*y + y + 3*y + 0*y - 57 + 61. Calculate u*o(v) + 4*l(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (2279 + -5)\/(1 + 0\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**3 + 63*f**2 - 270*f - 1999. Calculate m(-10).\nAnswer: 1001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105621756 divided by -21036.\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06679, 6, -1\/2, -4, -1, 15 in increasing order.\nAnswer: -4, -1, -1\/2, 0.06679, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, 0.4, 2\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = 5, n - 3*t - 25 = 0. Solve -10 + n = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 44*a + 7148. Is 26 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/57736 and -25\/202076?\nAnswer: 404152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7678101 to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -585 - -4?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:28 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 801\/2 + -400. Solve -3\/4*c + 0*c**2 - w + 1\/4*c**3 = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.69 and 4.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:26 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 2, d: 4, n: 1}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14176.3432 rounded to the nearest integer?\nAnswer: 14176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48445393 and 5.\nAnswer: -242226965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(-4*(-2)\/(-24)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-6))\/((-5)\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6*z = -z - 5, o - 9 = -5*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 - 7*n**2\/2 - 18*n - 7. Let f be a(10). Let b be 3 + 1\/(-3) + 28\/f. Solve -b*w - 20 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*f + 19*d - 21*d, d + 33 = -4*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))**(-36\/7)*(((f\/(f\/f**(1\/15))*f)\/f)\/f)\/(f**(2\/37)*f) assuming f is positive.\nAnswer: f**(52219\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*j**2 - 154*j**2 - 166*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose 4 = 4*r - s - 4, s + 5 = w*r. Suppose -r*m + 4 = -2. Solve 1 = -5*h + m*c + 16, h = -3*c + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((1 - -7) + -2 + (23 - 76 - -45))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64150425 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*z - 12 = 0, z = -4*g + 8*g + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -775564 (base 12) to base 14\nAnswer: -375180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 254060783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 1. Let h be t(1). Let w = h + -6. Which is the third smallest value? (a) -1 (b) w (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfg when four letters picked without replacement from kgkgkgfgthgssksgkggh.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 2884*z**4 - 29220*z**3 + 14780*z**2 + 116816*z - 105264 = 0.\nAnswer: -731, -2, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 378, -2, -10.37, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:27 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/3 (b) 2 (c) 0 (d) -236 (e) 25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(425)*4)**2 + sqrt(425) + 5.\nAnswer: 5*sqrt(17) + 6803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*t = 33, 2*z - 3*t = 25 + 5. Let l = z + 31. What is the remainder when l is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -365, -854, -1609, -2672?\nAnswer: -4085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, d: 3}. What is prob of sequence fdfd?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h + 5*h - 3*h - 14*h. Let f(a) = -35*a**2 + 5*a + 5. Let i(d) = 385*d**2 - 56*d - 56. Let q(r) = -56*f(r) - 5*i(r). Determine q(v(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4420 divided by -3\nAnswer: -4420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*q**2 - 116*k**2*q - 87*k*q + 2*q**2 + 650 with respect to k.\nAnswer: 2*k*q**2 - 232*k*q - 87*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228126629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f**3 + 21*f**2 - 5*f + 15. Let r(n) = 5*n**3 - 10*n**2 + 3*n - 7. Let m(y) = 9*r(y) + 4*w(y). Is m(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) 5 (c) 2 (d) -42920 (e) 1 (f) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 32 = -5*b, -f + 4*f - 5*b - 53 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.089 + -1.211. Let a = r - 2.7. What is the closest to 3\/2 in 4, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12239 greater than or equal to -12239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 9*b - 8*b + 209, -4*b = 20. Calculate the remainder when p\/((-69)\/(-15) - 5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d - d + 6*d)*(-3 + 4 + 1) - d + 24*d - 13*d)*(11*d - 2*d + 4*d).\nAnswer: 182*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/12 + 7*u**3\/2 - 21*u**2 + 1. Let j(k) = k**2. Determine j(s(w)).\nAnswer: 4*w**2 + 84*w + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760)\/sqrt(2))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 39*y**2 + 175*y - 2266. Give k(19).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (189\/28 - 7)*8\/(-60). Let m(a) be the third derivative of 0*a - 5*a**2 + 0 + 0*a**4 + 1\/30*a**5 + 1\/105*a**7 + 0*a**3 - l*a**6. What is n in m(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s - 3. Let x(n) = 16*n - 2. Let q(t) = -t**3 - 22*t**2 - 123*t - 38. Let j be q(-12). Calculate j*k(a) + 3*x(a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2, 316 in descending order.\nAnswer: 316, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 575, 1919, 4539, 8861, 15311?\nAnswer: 24315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14398029 - -6?\nAnswer: -14398023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 3:28 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.9694 centuries to millennia.\nAnswer: 1.19694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-80)\/(-472))\/(-10)). Let j be (-68 - p) + (-4096)\/(-455). Is 0 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarrurruraara. What is prob of picking 1 u and 2 r?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - 3*m**4\/4 - 5*m**3\/3 - 9*m**2\/2 + 2*m. Let r be (-1)\/(-2)*(1 + (-13 - 4)). Calculate i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7269 is divided by 3624?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266954931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00351117 to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 - 5. Let n(t) = -4*t. What is n(h(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/15 + 3*v**4\/8 + 43*v**3\/3 + 161*v**2. Differentiate d(h) wrt h.\nAnswer: -8*h + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/4 - 3577891*o\/4 - 1788945\/2 = 0.\nAnswer: -3577890, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 9. Let y be r(17). Suppose y + 10 = -3*l. Let b(s) = s**2 + 4*s - 6. Calculate b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 11 - 0) + (-2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10571\/(-341))\/((-3)\/(9\/(-3))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 2 + -19 + (-89 - -64).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14964, 29942, 44920, 59898, 74876, 89854?\nAnswer: 104832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14132\/28 + (-4)\/(-14). Suppose 0*t = -t + 2*j + 92, 5*t - o = j. Let s(a) = -t - 8*a + 49 + 50. Let k(c) = 15*c + 5. What is -3*k(v) - 5*s(v)?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880300?\nAnswer: 2, 5, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -1 + -2 + (-5 - 0) - -58) + 3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 + 10*a - 10. Let w be d(8). Let i = 3 + w. Calculate the highest common divisor of i and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + l**3 + 0 + (l + 0 + 0 - l + 2*l + 0*l + (-1 + 2*l + 1)*(1 + 0 - 3))*(399 - 22*l**2 - 399) + 3*l**3 - 5*l**2 + 5*l**2.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11322, 11403, 11498, 11607?\nAnswer: 11730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + m**2 + 5*m. Let n(c) = -7*c**2 + 6*c + 0*c**3 + 9*c**2 + 5*c**3. Give -4*d(q) + 3*n(q).\nAnswer: -q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-4 - sqrt(95))\/(sqrt(40)\/(sqrt(24)\/sqrt(3))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(9\/(-12)) - -1. Suppose -j*t = 4*g - 29, -4*g = -t + 2*t - 41. What is the smallest common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47237, 47240, 47245, 47252, 47261, 47272, 47285?\n\"Answer: n**2 + 47236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/24)\/((-3)\/(-34422)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/1*(-15)\/(-90)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/36)\/(-160 + 105780\/656).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3635997 is divided by 1211953.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 5, 703, 1, 0, 18 in descending order.\nAnswer: 703, 18, 5, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15235935 to the power of 1\/2, to the nearest integer?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*r = -72, 5*b + 4*r - r - 91 = 0. Suppose -b*a + 21*a = 9. Solve 0 = -4*t + o + a, 3*t - 8 = 3*o - 2*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*w**2 + 4 + 54*w**2 - 31 - 113*w**2 as p*w + j + d*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.878 - -67. Let t = o + -0.792. What is t rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(11\/7))**20*(z*z**(20\/7)*z*z)\/(z**(-31)*z) assuming z is positive.\nAnswer: z**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -440. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o**3*t + 8*o*t + t wrt o.\nAnswer: 78*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + w + 4*w**2 + 2*w + 4*w**2.\nAnswer: 8*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.03, -3, -14\/5, -1\/2, 0, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 385*n**2 - 18708*n + 718. Calculate d(57).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 2*t**2 + 4*t\/3 + 112\/9.\nAnswer: 2*(t - 7)*(t - 4)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349996132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22403.247us in minutes?\nAnswer: 0.00037338745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:37 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 4912*p - 1479760.\nAnswer: -4*(p + 530)*(p + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -7. Suppose -q = -j*q. Let y be (q + 1)\/(0 - 3). Which is the nearest to y? (a) -5 (b) -1\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74b (base 13) to base 9.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let o = -5\/52 + 219\/1196. Let b be 21\/(-6) - (-2)\/(-4). What is the second biggest value in b, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91*202\/9191*-18?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) -3 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 4*c**2 + 6*c + 4. Let y(g) = -9*g**3 + 8*g**2 - 11*g - 7. Let f(v) = 7*k(v) + 4*y(v). Let p = -6 + 9. Give f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/2)*a)\/(a*a**(1\/13))*a**(2\/3)\/(a\/a**(-8)) assuming a is positive.\nAnswer: a**(-461\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9. Suppose -w + 3*j = 4 - 9, k = 5*w - 3*j - 85. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10309 and 245342.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*u - 35, -6 - 14 = -4*t. Is (55 - -12469) + (u - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-4) - (74 - 67)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3982 + -17.17141466\nAnswer: -3999.17141466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7036 (base 8) to base 15.\nAnswer: -110e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3, 72, 134 in decreasing order.\nAnswer: 134, 72, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/3 + 2658. Let s(x) = -2*x**2 - x + x. Calculate c(s(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54552, -436349, -1472712, -3490923, -6818264, -11782017, -18709464, -27927887?\nAnswer: -39764568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 4*s**3 - 5*s**3 - 2*s**4 + 5*s - 3*s + 2 - s**3 to c + l*s**3 + m*s + k*s**2 + n*s**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r. Suppose 2*f = -r - 6. Let o be (-5929997)\/(2 + f) + (-1 - -4). What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + u + (u + 0 + 0)*(3 - 2 + 0))*(3*u - 5*u + 0*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*s + 3486, q + 5*s + 67 - 781 = 0. What is the remainder when q is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Let a = -38 + 49. Suppose -4*f + a*f - 35 = 0. Solve 0*k = 2*k - 10, f*t = v*k - 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 6*y - 18. Let c(s) = -5*s + 7 + 1 - 3. Let g be c(y). Solve -4*d - 5*f = g + 2, -f - 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -804\/5 - -161. What is the third smallest value in 5, -1\/5, 15, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (9 - (-1 - (4 - 21)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/g)\/g**(-7) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvhvvhxvrvrxvhwvvv. What is prob of sequence rwv?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3)*(-33)\/22. Suppose z - 50 = w*a, 3*z + 3*a - 166 = -2*z. Let m = 25 + z. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 978013 and 5.\nAnswer: 4890065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mprm when four letters picked without replacement from {r: 11, p: 1, m: 6}.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, -4, 3.59, 1.3, 2 in descending order.\nAnswer: 201, 3.59, 2, 1.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvwvxwwww. What is prob of sequence vvxw?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + ((sqrt(8)*5 + sqrt(2))**2 - (sqrt(60)\/sqrt(3))\/sqrt(10)).\nAnswer: -sqrt(2) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 5*l - 7. Let o be r(6). Let q = -1830041\/28182 + 16\/2013. Let y = 65 + q. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 892 + -396. Calculate the highest common factor of 93 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2616 and 5\/112.\nAnswer: 36624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a - 2*t = 54, t = -4*a + 123. Suppose 0 = -a*g + 33*g - 2607. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -44*h - 222. Let x be t(-6). Solve -43*q = -x*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 2*v**3 - v**4 + (6 + 3*v**2 - 6)*(36*v + 28*v - 13*v)*(-1 - 3 + 0)*(0*v + 0*v - 2*v) + 15*v**3 - 15*v**3 - 13*v**4.\nAnswer: 1210*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 136. What is the first derivative of o + 48 + 5*w**2 - 51 wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-1 + -59)*(-952)\/(-6664) + 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - ((8 - 3) + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -535*d + 526*d - 5*d**2 + 4*d**2 + (-d - 4 + 4)*(0 + 0 + 2*d).\nAnswer: -3*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 - 1. Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 8. Let m(x) = x**2 + 4*x - 6. Let s be m(0). Let b(l) = -4*l + 7. Calculate s*b(d) - 5*p(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*m + 4, -4*m - 6 = 4*a - 2. Suppose 0 = -r - 2*u + 12, -5*r + 53 = -u + 4. Let d = 15 - r. Put -2, m, d in descending order.\nAnswer: d, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 3*v + 6. Let q be k(-4). Suppose 3*p - q = -4. Calculate the least common multiple of p and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/3)\/(c\/c**30*c) assuming c is positive.\nAnswer: c**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*z**2 + 3*z - 678*z**5 + 54*z**2 - 69*z**2 - 351 wrt z?\nAnswer: -13560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 - 4 = -4*x, -4*m = 3*x - 2. What is the third derivative of -m*v**4 - 3386*v**3 - 32*v**2 + 3386*v**3 + 12*v**4 wrt v?\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 28073 = -3*x, -52*f + 46765 = 5*x - 55*f. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4242 and 6322398?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from {l: 1, w: 7, s: 9, b: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2397 divided by -141\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/98)\/((-184)\/644).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80975.6ml in litres?\nAnswer: 80.9756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = 3*w, 0 = 2*w - 6 - 0. Let s be (t\/(-21))\/(0 + -1). Which is the biggest value? (a) -1\/11 (b) s (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 42*b**4 + 2*b**3 + 60*b**2 + 6. Let x(i) = -i**4 - 3. Let w(j) = -k(j) - 2*x(j). Find the third derivative of w(v) wrt v.\nAnswer: -960*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**7\/7 - 2*b**5 + b**3\/3 + b**2\/2 - 91. What is the third derivative of a(z) wrt z?\nAnswer: 120*z**3 - 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-9)\/6)\/3. Let d be 10\/p + -2 + 3. Find the third derivative of m**6 - 4*m**6 - d*m**2 + 0*m**6 + 20*m**2 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/26)\/(2\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.0013, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and -1024793679275.\nAnswer: -1024793679249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98990*m - 55766*m + 89515*m + 75880*m.\nAnswer: 208619*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298243576.\nAnswer: 2, 23, 47, 34487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135412727 - -13?\nAnswer: 135412742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*o**2 - 60*o + 4.\nAnswer: -(o + 2)*(31*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 1089, 1715, 2359, 3027, 3725, 4459, 5235?\nAnswer: 6059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 975932 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 16*d + d + 302 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 + 87941*b**3 + 1406942*b**2 + 2462124*b = 0 for b.\nAnswer: -175866, -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q. Let u(j) = -j**2 - 2*j + 2. Let a(v) be the first derivative of -2*v**3\/3 - 3*v**2\/2 + 3*v + 5. Let n(l) = -2*a(l) + 3*u(l). Determine k(n(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*a**3 + 7\/2*a - 5\/4*a**2 + 0.\nAnswer: -a*(a - 2)*(a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - -79. Let b = -102 + t. What is the third biggest value in b, -7\/4, 4\/7?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 g when three letters picked without replacement from gqogqtttogtqggtqtt?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = -6*a + 39*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**2 + 38*q - 1. Let l(p) = -21*p**2 + 113*p - 4. Calculate 3*l(z) - 8*u(z).\nAnswer: z**2 + 35*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n. Let y(c) be the first derivative of c**4\/12 + c**3\/6 + 7*c + 8. Let q(j) be the first derivative of y(j). Calculate p(i) - 3*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24019 (base 14) in base 12?\nAnswer: 429b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 3*v - v + 5)*(3*v + v - 5*v) + 2*v**2 - v**2 - 6*v**2 - v**2 + 5*v**2 - 2*v**2 as q*v + m + l*v**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145552?\nAnswer: 2, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 13 + (-20 + -14 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*d + 20\/7 + 4\/7*d**2.\nAnswer: 4*(d - 5)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97\/10 in 2\/9, -0.01, -5, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9802826.469755 and 0.9?\nAnswer: 9802827.369755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 5, -0.5, -1, 2\/3, -106?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11331*b**2 + 0*b + 23522*b**2 + 0*b - 12200*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32316 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 500*o - 2 - 5 + 0.\nAnswer: 500*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 - 4 = 0. Let s be (-2)\/(-7) - ((-2307)\/623 - x). Which is the biggest value? (a) s (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338191.\nAnswer: 7, 48313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 543*g + 29. Let y be w(2). Let f = -383 + y. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -16 (c) -0.9 (d) -0.3 (e) 4 (f) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5980, -6858, -8320, -10366, -12996, -16210?\n\"Answer: -292*t**2 - 2*t - 5686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**20*d)*d)\/d**(-19))\/(d**(-9)*d**(-13\/5)*d) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503421059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68860.\nAnswer: 2, 5, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-7)*d**(-2\/37)\/d**(-4) assuming d is positive.\nAnswer: d**(-372\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9548\/15 - -1910\/3. Suppose -8\/15*x - 2\/5 - r*x**2 = 0. What is x?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 17, 8, -23, -82, -175, -308?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7. Suppose l = -3*b + 16 + 2. Let s = -3 + b. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*s**2 - 31*s - 243*s**2 + 719*s**2 + 31*s.\nAnswer: 1633*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 27, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7))**(-4\/21))**(-3\/10)*(g*g**1)\/g**1*g**1*g**(-4) assuming g is positive.\nAnswer: g**(-472\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(-46)*(-4)\/7 - (-28)\/(-98). Put -3, n, -696 in ascending order.\nAnswer: -696, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -9\/4, 1, 0.008, 0.4, -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 21*k**2 + 2124*k + 273. Determine h(-101).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.963 + 0.037. Let y = s + -15. Let j = -11.9999993 + y. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13776 by -12.\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0049 and 1.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -1b1?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*i**2 - 5*i**4 - 80*i - 161*i**2 - 67 + 69 to c*i**3 + v + w*i**2 + l*i + n*i**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, b: 8}. What is prob of sequence bbb?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttbbttttbtttt. Give prob of picking 1 t and 1 b.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/104)\/((-936)\/624).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1331*d*p**3*q + 22713*d*p**2*q + 2*p**3 + 2*p**2*q + 37780*p*q - 28*q with respect to d.\nAnswer: -1331*p**3*q + 22713*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**4\/8 + 39*v**3 - 1080*v**2 - 4800*v + 146. Factor x(o).\nAnswer: -3*(o - 40)**2*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13023043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a - a + 8*a to the form o + w*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose 5*v - 20 - 13 = -4*d, 3*d - o*v = 18. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45049 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c = 25*c + 226117. Let b = -3290 + c. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.73134 and 37?\nAnswer: 27.05958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 2 - 5*f**2 - 233007*f**3 + 15*f**2 + 233157*f**3 + f**3 + f**3 + 2*f**3 + 0*f**3 - 2*f**3 + 0*f**3 + (3 + 2 - 6)*(-f**3 - f + f).\nAnswer: 153*f**3 + 9*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 837940355*t**5 + 241543614*t wrt t?\nAnswer: 16758807100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19261 - -35725. Let q = d + -724343\/44. Calculate the common denominator of q and -14\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + -1 + (6 - 7). Suppose t = 5*x - 5. Solve -x*n - 2 = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*b - 12, 5*b - 3*q = 2*q + 25. Suppose b*g + 6*w = 2*w + 422, 2*g - 266 = 5*w. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - (58 + -22 + -33 + 32)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3143, 11488, 25391, 44852, 69871?\n\"Answer: 2779*q**2 + 8*q + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 + -114. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.126898 to three dps.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22190, -44366, -66492, -88544, -110498, -132330?\nAnswer: -154016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 71*q**3 + q**2 + 7*q**2 + 15*q**3 - 8*q**2.\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -876*h + 6924. Give k(7).\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*k**3*v**2*x**2 - 42*k**3*v**2 + 2*k**3*v*x + 3*k*v**2*x**2 - 6*x wrt x.\nAnswer: 72*k**3*v**2 + 6*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/6 + b**3\/2 - b**2\/6 - b\/2 + 1\/3.\nAnswer: -(b - 2)*(b - 1)**2*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**6\/1080 + 2*s**5\/15 - 8*s**4 + s**3\/2 - 12*s**2 + 22*s. Let i(p) be the second derivative of a(p). Factor i(x).\nAnswer: -(x - 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8) + (-6 + 1 + 7 - -15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833 less than 0.33?\nAnswer: -1832.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43899\/13 + (2\/(-3))\/(13\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 767*c + 8389*c**2 - 8382*c**2 + 767*c - 5.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 4:23 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 u, and 1 a when four letters picked without replacement from {u: 3, a: 4, z: 5, x: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from orwruuuowrqu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = 5*g, 0 = -5*g + 3*l + 5 - 14. Suppose q + q - 18 = g. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 825 = -5*u - s, s - 1 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.486 - -11997880.\nAnswer: 11997880.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**6\/80 + i**5\/40 - i**4\/16 - i**3\/4 - 4*i**2 + 4*i. Let d(k) be the first derivative of f(k). Factor d(o).\nAnswer: 3*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 987, -0.2, -61\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 + 3910*a**3 + 88996*a**2 + 239648*a + 154560 = 0?\nAnswer: -1932, -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/88 and 83\/170.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 9\/(27\/(-6)). Suppose -3*h - r = 5*w, 3*h - 17 = 2*w + 2*w. Factor -2\/3*k**2 + 1\/3*k - 1\/3*k**h + 2\/3.\nAnswer: -(k - 1)*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*a = 1686, a + 264 = m - 572. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107130 and 24.\nAnswer: 428520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, -2\/29, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 times -0.47158?\nAnswer: 56.11802","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 20743263 != 20743263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -5*x + 24, -174*c - 6 = x + 145*c - 315*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:12 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 1 - (18 - 31 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 2, t: 2, d: 1, b: 1}. What is prob of sequence eeb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-537)\/75 - 2)\/(-2)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o**2 + 2 - 4 + 2 to the form v*o + n*o**2 + l and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*i - 4*i + 4*p, 0 = 4*i + 4*p - 32. Solve 0 = 3*w + 3*j - 7 - 8, 2*w + 11 = i*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 4.\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*v - 468*v + 3887 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 59 + 206. What is the remainder when m is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 344, 892, 1512, 2204, 2968, 3804, 4712?\n\"Answer: 36*j**2 + 440*j - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21246132.\nAnswer: 2, 3, 1770511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -953 - -0.4418\nAnswer: -952.5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 + r**2 + 6*r + 14. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 27. Let r be l(0). Is 10 a factor of r + (-7)\/(28\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-420) + 4\/10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208874 and 87127?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0.015 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*n**2 - 65*n = 0. What is n?\nAnswer: -13\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 - 3 - 4 + 6 + (-1 + 4 + 1)*(2 + 1 - 1))*(-u**5 + 4*u**5 + u**5).\nAnswer: 24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2006, -1853, -1700?\n\"Answer: 153*c - 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2997 by -9461.\nAnswer: 2997\/9461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -19. Let o = 0.017 - -26.983. Let y = o - 27.2. What is the closest to -4 in y, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 5*m. Let c(g) = -1495. Let l(t) = 374. Let h(v) = c(v) + 4*l(v). What is 2*h(z) - 2*q(z)?\nAnswer: -4*z**2 + 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15931378 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 9*j - 3. Let z be 3\/(1\/(-2) - -1). What is the units digit of x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/3 + 902524*f**2 + 8122730*f\/3 + 1805052 = 0 for f.\nAnswer: -2, -1, 1353789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/(-30360)*-23)\/(11\/(-10))\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 628.\nAnswer: 1\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-389)\/(-4))\/(8\/32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let t(i) = -6075*i. Give t(u(g)).\nAnswer: -6075*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43721.\nAnswer: 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 3*w**2 + 0*w**2 + (-w**2 + 2*w**2 - 5*w**2)*(2 + 5 - 5).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**4 + 6*a**2 + 6*a - 10. Let j(l) = 22*l**4 + 11*l**2 + 11*l - 19. Let k(b) = 11*d(b) - 6*j(b). Find the first derivative of k(s) wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -31. Suppose -2*j - 5 = -17. Suppose j = h + 3*i, 3*i + 2*i = 0. What is the greatest common factor of h and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - 7*u**2 + 4*u - 74. Let t be b(7). Suppose g - 3 + 1 = 0, -2*g = 4*y - 36. What is the highest common factor of t and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.1498\nAnswer: -0.6498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 241*w + 908. What is the units digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 9.1 (b) -11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((-3)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 3*j**2 + 0*j**2 + j**2 - 5*j**2. Let d be g(-3). Is d - -2 - (-50 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**2 - 23705 + 134*c**3 + 0*c**2 + 23717 wrt c?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -439377\nAnswer: 64\/439377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1790*c**2*v**4 - 6*c**2*v**2 - 2*c**2*v + 29777*c*v**4 + c*v**2 - 4*c - v**2 - 101607*v wrt v?\nAnswer: 42960*c**2*v + 714648*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1770390 and 968382.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j. Let t = 634 - 637. What is the second smallest value in -0.4, j, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -800.33 rounded to the nearest ten?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 3*k**2 + 4*k - 5. Let w(n) = n + 3. Let p be w(6). Suppose -p = -32*q + 29*q. Let d(s) = -3*s**2 + 10*s + 1. Let b be d(q). What is h(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 + 1 + 8. Let r = -6 + g. Is r not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9))**(-2\/17)\/(n*n*n**(-2\/7)*n*n)**(-20)*(n**(-1\/4)\/n*n)\/n**(-8)*n**(-5\/4)\/(n*n*n\/(n\/(n*n**(3\/8)))*n) assuming n is positive.\nAnswer: n**(654911\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 25. Calculate the smallest common multiple of 9 and n(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 637.3 and -0.22.\nAnswer: -140.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13363?\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2827*5\nAnswer: -1.4135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-1 + (-100)\/(-30))*(514 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -599700 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*b**3*l + 5569*b**3 - 299*b*l**2 + 5*b + 6 wrt l?\nAnswer: -72*b**3 - 598*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 + 61*x - 239. Determine m(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246782, 493550, 740318?\nAnswer: 987086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 20*d**2 + 33*d - 15. Let y be j(-18). Let n = 153 - y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5*t - 425 = 3*p, -269 = -3*p - 4*t. Suppose 4*q - 293 = p. What is the remainder when q is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5600894 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 + -19727\/48. Let h(w) = -3*w + 30. Let q be h(10). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -833?\nAnswer: 1\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 20*s + 10*s - 25*s + 70. Let o be j(-13). Let u = -2 + 1. Which is the second smallest value? (a) o (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d, -2*o - 4*d = -3*d - 9. Suppose i - 76 = -3*u - 0*u, u = o*i + 4. What is the least common multiple of u and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/170 - 4*s**4\/3 - 4757*s**3\/51 - 8978*s**2\/17 + 402*s. Let q(c) = 0. What is c?\nAnswer: -67, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-199)\/(70645\/426) + 17\/10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -6. Let b = 57181 + -57181. Solve -5*w = 2*g + 7, b = w - 3*g + 21 - n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b - 15*b - 32*b)*(0 - b**2 - 4 - b + 2*b).\nAnswer: 55*b**3 - 55*b**2 + 220*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 - -0.46. Let l = -28 - -27.712. Let w = l + -0.012. What is the biggest value in -4\/3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 34*w - 3. Suppose -5*j = -5*z + 5, j - 5*z + 2 + 15 = 0. Let r be i(j). Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (14 - 10 - 20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:49 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 10*o + 8. Sort 3, o, -2, 0.5 in decreasing order.\nAnswer: 3, 0.5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18553654 divided by 31934.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 29495, -2, -2\/183, -0.1 in decreasing order.\nAnswer: 29495, 5, -2\/183, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14041 (base 5) to base 10.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 8*v + 7. Let s be o(-8). Let f be s - (-4 - (-4 + 1)). Suppose 3*k = -f + 209. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 34 = 5*r + 8, -2*r - 5*x + 37 = 0. Let g(o) = -16*o + 18. What is g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925*y + 1509 = -687*y + 29983 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2541 + -2529. Let d = 95 - 43. What is the lowest common multiple of d and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -5*v - 84*o + 89*o, -6*v = 5*o + 148 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 282.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, j: 4}. Give prob of picking 2 j and 1 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28721*-0.5.\nAnswer: 14360.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-643 + 316 + 13*d + 319)*(-d + 2 - 2)*(-4 - 4 + 1) as b*d**2 + z*d + n and give b.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 + -3.865. Round w to 2 decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {j: 1, k: 10, h: 5, r: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:31 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -0.62. Let s = -1811\/7164 - -5\/1791. Which is the nearest to -1\/4? (a) -2\/11 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-3\/7)*v*v\/(v\/v**(3\/10)*v*v))**(-2\/11))**(11\/8))**(-10) assuming v is positive.\nAnswer: v**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3070*m**2 - 1013*m. Let q(w) = -1023*w**2 - 338*w. Let p(d) = -17*q(d) + 6*v(d). What is the second derivative of p(k) wrt k?\nAnswer: -2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211668?\nAnswer: 2, 3, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/3 + 19*b**2\/3 - 10*b = 0.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f = -35*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, d: 1, x: 7, r: 4}. What is prob of picking 1 d and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -35*18\/(-90)*(2224\/7 - -2). Calculate the highest common divisor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*l - 19, -4*t + 2*l + 14 = 4*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -4433?\nAnswer: -4432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/(8*(-8)\/160)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 36. Let h = 54 + w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56815 or 56810?\nAnswer: 56815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31768 - -223?\nAnswer: 31990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) + sqrt(17) + -3)**2*3.\nAnswer: 18*sqrt(17) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 12. Let v be l(-3). Let r be ((15\/(-20))\/v)\/(-1). Put 0.03, r, -1\/11, 3 in decreasing order.\nAnswer: 3, r, 0.03, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21044 + 9990. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-25.0423.\nAnswer: -7.763113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7792045*i - 6358297 wrt i?\nAnswer: 7792045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/5, 178\/5, 1, 91, 0.03?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**4\/4 + 81*k**2\/2 + 162*k + 499. Determine q so that r(q) = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16381 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 56. Let p be t(7). Solve p*c - 2*c = -4*x + 6, -2*x = 5*c - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -21. Let p = 10 - m. Let n be (3 + -2)*(p - -1). Is n less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from jjjjjjjhjjjhjjjjjj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/6 - 74*g**3\/3 + 493*g**2\/2 + 307*g. What is the derivative of h(f) wrt f?\nAnswer: -4*f - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*u**3 - 30*u**2 - 10*u**2 + 103*u**2 - 37*u**2 - 26*u**2.\nAnswer: 133*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4*0)\/(-6 + 4). Suppose 9*c + 349 - 1960 = z. What are the prime factors of c?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*(-197)\/(157206\/(-665))?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/599 in 0, -0.1, -7, -8\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 + 30*k**2 - 4*k + 11. Determine w(-5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51273 - -21473. Let q = 24781 - -24019. Let l = q + d. Round l to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114684026 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 3*r - 2. Let i be k(-2). Suppose -2*y + 25 = -5*w, -3*w + i*w = -4*y + 5. Let u = 13 - y. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9400239*l**3 + 3*l**2 + 9400237*l**3 - 3*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112383 + 207843394?\nAnswer: 207955777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1588*p**5 + 50*p**2 - 29*p + 2 wrt p.\nAnswer: 95280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24710 - -25332?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 244109 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*p**4 - 2 + 2*p**2 + 5*p**2 - 37*p**4 - 32*p**4 wrt p.\nAnswer: -1368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmmwwmmwmww. Give prob of picking 3 m.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254*a**5 + 31*a**4 + 7*a**3 - 485083*a**2?\nAnswer: 15240*a**2 + 744*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*6\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104078685 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 4}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:44 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20000 by 8.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-9) + ((-106)\/(-106))\/((-1)\/4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52343, 104692, 157053, 209426?\n\"Answer: 6*h**2 + 52331*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 10*x - 8*x)*(732 - 732 - 15*x)*(-1 - 4 + 3 - 5 + 3 + 1 + (-3 + 5 - 3)*(-1 + 3 + 0) + 0 + 2 - 3).\nAnswer: -1170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -100, -226, -402, -628, -904, -1230?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8433\/21020 + -5\/4204. Which is the biggest value? (a) -1.467 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 13 + 4361*j**2 + 3 + 4*j + 11.\nAnswer: 4361*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by 13550.\nAnswer: -393\/13550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12 and 31\/57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 72 = 2*u, -4*u + 142 = 2*b - 2. Suppose 39*n = u*n + 12. Solve 2*s + 0*s + n*z = 8, -4*s + 3*z = 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 9.5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3)\/s**4)\/(s**0*s)**(12\/13) assuming s is positive.\nAnswer: s**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + 0 - (-4)\/(-3). What is the tens digit of 1 - 0 - (h - 41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 274*n**2 + 2*n - 4. Determine y(-1).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12169*i + 12533*i + 1092 = 0. Let v = 141 - 256. Let p = v - -572\/5. What is the second biggest value in -1\/4, i, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/33664974 and -89\/23464?\nAnswer: 134659896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**5\/5 - 13*w**4\/4 - 20*w**3\/3 + 50*w**2 + 6328. Solve a(l) = 0.\nAnswer: -10, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 22, 39, 60?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/((-1)\/111). Suppose 4*a + 1 = -7. Let x be a\/8 + (-21)\/(-4). Solve 7*c - 5*h = 4*c, x*c + 4*h = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 17 = -4*a, -5*a + 2*s + 9 = -14. Find the second derivative of -a*b - 11*b**4 - 4*b - 4*b - 2*b wrt b.\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*i + 118. Suppose -2*l + i = l. What is the units digit of (1 + 3\/(-15))*l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(4))\/sqrt(3)*-3*1.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5452045 (base 7) to base 12\nAnswer: -282831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32 and -7\/178?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10288.45499715 + -10289.001. Let z = 0.546 + r. What is z rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 4. Let c(q) = -5*q - 4. Give 5*c(k) + 4*r(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -23\/5 (b) -2\/3 (c) 1\/2 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214 + 231. Let f(d) = -10*d + 8. Let b be f(-6). Calculate the greatest common divisor of q and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:49 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.963 rounded to one decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-2)\/(-30)). Let a = -267983 + 267978. Put 19, l, a, 4 in decreasing order.\nAnswer: 19, l, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 3\/5 (c) 7432\/3 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 22 = -0*q - q, 2*q + 4*f + 16 = 0. Is 3 a factor of q\/(-12) + 67\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*d + 787*d = 2*b + 264*d + 259*d + 10, -5*b + 0*d = -5*d - 35 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5*y**2 + 6*y - 2. Let p(q) = -4*q - 60. Let u(n) = -n - 30. Let c(r) = -p(r) + 2*u(r). Calculate c(i(m)).\nAnswer: 20*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.065 - 0.175. Is 4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -40. Let h = 113\/3 - o. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 70 = 0. Suppose 72 = 3*i + 3*s - 78, -5*i = -4*s - 250. What is the remainder when i is divided by 4\/g - (-89)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 639 divided by 15\nAnswer: 213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26391842 and 0.4.\nAnswer: -10556736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 29135538, 4, 1 in increasing order.\nAnswer: 1, 4, 29135538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 0 + -1 + sqrt(704) + sqrt(704) - (4*(-1 + 1 + sqrt(11)) + -3))**2*-6.\nAnswer: -576*sqrt(11) + 38040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 8 - 2. Suppose -k = -5*d - 0*d - 146, i*d = -5*k - 80. Let w = 48 + d. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 306?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14662 + -14937.27. Let a = n + 261.6. Let z = 12.9 + a. What is z rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 25669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9453568 divided by -18464.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/13 + 1520*r**3\/13 - 20886*r**2\/13 - 1520*r\/13 + 20888\/13 = 0. What is r?\nAnswer: -1, 1, 14, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/8) + 1. Let c be (-6)\/(-27) + 43\/o. Suppose 3*d - 65 = -5*v, -2*d + 12 = c*v - 58. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -47. What is the smallest common multiple of -5 + 11 - (-4)\/2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 + 8*c + 15. Let d be a(-6). Let r(l) = l. Let i be r(2). Let o be d + i + (-6)\/2. What is the second smallest value in -0.4, o, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -45, -96, -169?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 9969552?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110133204 (base 6) in base 2?\nAnswer: -101101111101110011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 17*r - 3 - 9*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 12, 0, -4, -5\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11956?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*z**3 + 75*z**3 + 77*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 200. What is l(-18)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {s: 7, g: 1, y: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -40, -15, 10, -686 in decreasing order.\nAnswer: 10, 0, -5, -15, -40, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -15, -1\/4, 7, 144?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 + 120. Let s = a - -80. Suppose o + s*i + 3 = i, 0 = -o - 2*i. Solve 5*v = o - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/119 - 38332\/(-119)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from {y: 7, l: 4, g: 2, o: 1, v: 4}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*j - 280, -11*o + 14*o = -3*j + 165. Let b(v) = -v**3 + 19*v**2 + 22*v + 8. Calculate the least common multiple of o and b(20).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - 1) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79230 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 57960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2. Let y(w) = -3*w. Suppose 2*z = -12 - 6. Let h(a) = a. Let q(x) = z*h(x) - 4*y(x). What is q(s(o))?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooosxsossosssossss. Give prob of sequence xo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21542, 35458, 49372, 63284, 77194?\n\"Answer: -b**2 + 13919*b + 7624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22409280 divided by 5\nAnswer: -4481856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*i - 2939*i + 0 + 0 + 2437*i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -45*d + 47*d. Calculate the greatest common factor of 300 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(240)*1 + sqrt(240)) + sqrt(240))\/(sqrt(1152)*-2))\/((sqrt(120)*-1*-6)\/sqrt(12)*5).\nAnswer: sqrt(3)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -256, -526, -796, -1066, -1336, -1606?\n\"Answer: -270*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = v - 88, -3*y + 223 - 49 = 3*v. Calculate the remainder when 1528 is divided by v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -2. Let b be m\/6 + (-22)\/(-4). Suppose -j = i - b*i - 23, 2*j = -i + 60. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 5*k - 18, -4*z = -k - 15. Let a be 640\/(z - (-3374)\/(-1125)). What is a rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59899281*h**3 + 3078*h + 3294 wrt h.\nAnswer: 359395686*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 562, 375, 186, -5, -198?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**3 - 31239 + 3*w**3 + 31232 + w**3 - 3*w**3. Let c(g) = -g - 13. Let f be c(-6). Let m(h) = 1. Give f*m(l) - y(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10*-3 + 299\/115. Solve 3 = -h*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + sqrt(49)\/(sqrt(7) + sqrt(21)\/sqrt(3)))*-6 - (sqrt(700) + 6*(sqrt(700) - (sqrt(700)*1 - sqrt(700))))*6)**2.\nAnswer: 1288287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + z + 4, 5*a - 3*z + 37 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 37543?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40517401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 3 + (-4 + 4 - 1)*(1 - 2 + 3) - 2 + 3 + 1 + (2 + 3 - 6)*(-1 + 4 - 1) + 0 + 1 + 1)*(3*k**2 + k**2 - 5*k**2).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1156235 + -0.58.\nAnswer: -0.6956235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -950 (base 10) to base 11\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17 (b) 4 (c) -2\/9 (d) -1\/5 (e) 3 (f) -1.47 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/40 and -17\/14150456?\nAnswer: 70752280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3067593549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.256 - 0.356. Which is the second biggest value? (a) 5 (b) -2 (c) u (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -20288*r**2\/3 + 40594*r\/3 - 12 = 0?\nAnswer: 9\/10144, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**5\/20 + c**4\/2 - 5*c**3\/6 - c**2\/2 - 49*c. What is the smallest common multiple of o(3) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130159907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -154. Suppose -4*w = -v + h, -3*w + 7*w + 103 = 5*v. Let y = -25 - w. Solve 2 + 4 = -y*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23341\/4296 + -264\/179. What is the common denominator of -25\/18 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:04 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10780 and 308?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2446 (b) 2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a0 - 5?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395293?\nAnswer: 395293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497 at least as big as 3497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4750.\nAnswer: -1\/4750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y - 4 + 2 + 13*y + 26*y.\nAnswer: -69*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -7*b + 2958. Calculate the common denominator of -145\/18 and (-2)\/(-11)*-1 - (-1523)\/b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/21)\/((-81)\/189))\/((-4)\/114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -203*l - 34. Let c(v) = 51*v + 8. Calculate -26*c(y) - 6*h(y).\nAnswer: -108*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15856 plus 5613.713?\nAnswer: -10242.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2287, 2294, 2299, 2302?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {n: 5, x: 1, k: 6, r: 2, j: 2, i: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 173. Suppose a = -74*f + 76*f. Suppose 20*y = f*y - 500. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.02152nm to kilometers.\nAnswer: 0.00000000003102152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, 0.5, 2, 22\/3, -2\/13.\nAnswer: -5, -2, -2\/13, 0.5, 2, 5, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y - 283. Let z(p) = 5*p - 143. Calculate -6*m(u) + 11*z(u).\nAnswer: u + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 441709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/52 and 51\/2002.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/34 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 26*m - 26*m + (0*m + 0*m + m)*(-1 + 2*m + 1) + 6*m**2 - m**2 + 5*m**2 - m**2 - 5*m + 5*m as s*m + r + j*m**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -48*m + 48*m + m**2. Let g be ((-3)\/(-6))\/((-2)\/24). Let t(h) = -225*h. Let j(p) = -8*p. Let b(z) = g*t(z) + 170*j(z). Determine w(b(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 5364*m**2 - 735744*m + 24068096 = 0.\nAnswer: -1469, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/25*579 + 1 + 6)*10 is divided by 96?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 153 = 78*r - 2*v, 0 = -346*r + 343*r - 3*v + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 57*s - 1251. Calculate n(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/26 and -27\/10075.\nAnswer: 20150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/15 - 3 - 35\/15. What is the common denominator of 11 - (-14)\/c - 614\/192 and -21\/4?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -39. Let y = -27.9999848 + l. Round y to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/4 - 10 - (-12 + 45\/4)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*f - 2*w - 9, 48 = 4*f + 2*w. Let o = -471 + 604. Suppose -132*d - 12 = -o*d. What is the remainder when f is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896 is divided by 2644.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5622113 (base 7) to base 12.\nAnswer: -295ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 246. Let k = s - 104. Suppose 0 = -3*h - 4*p + 13, 3 - 6 = 2*h + 5*p. Calculate the smallest common multiple of h and k.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1796)\/(-7216) + -2*6\/(-12). Let n = 1\/902 + v. Let u = 0 + -0.2. Sort 2\/9, u, n, -10 in decreasing order.\nAnswer: n, 2\/9, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = 22. Let q be 8 + (11 - -1)\/n. Let h = -9\/5 - -71\/45. Put h, -0.4, q in descending order.\nAnswer: q, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**2 + 11. Let n(u) = 3*u**2 - 2. Let h(q) = 11*n(q) + 2*y(q). Let i(k) = -124*k - 118*k + 359*k + 481*k**2 - 117*k. What is i(h(l))?\nAnswer: 481*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 24*y + 8 = 0. Suppose -b - 55 = 4*t, -7*b + y*b - 3*t = 258. Let p = -46 - b. Solve -22 = -p*k - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*f - 3, -3 = 4*f + 5*n - 0*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505716677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*t + 107*t = -58*t + 28809675. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134355 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 5 - 5)*(-3*p + 2*p - 2*p) + 4*p**3 + 6*p**3 - 6*p**3 to the form w*p**2 + o + a*p + v*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.914 and 799?\nAnswer: 3926.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4967442280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-471)\/(-942)*(-1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3200976 and -4.02?\nAnswer: 3200971.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 964524.8 micrograms?\nAnswer: 964.5248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 9761.727, -2\/9.\nAnswer: -2\/9, 0.5, 9761.727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 1. Let g(z) = -11*z**3 + 9*z**2 + 7*z - 15. Give 13*c(u) + g(u).\nAnswer: 2*u**3 + 9*u**2 + 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -23 - 1. Solve 12 = n + b*n - 2*o, 4*o + 6 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9848\/130039 or 0?\nAnswer: 9848\/130039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11200380 divided by 145.\nAnswer: -77244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 216*d + 6. Let h(y) = -y**2 - 216*y - 5. Calculate -5*h(m) - 4*u(m).\nAnswer: -3*m**2 + 216*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 198\/24*1*24. Suppose 0 = -3*m - 2*j + 129, 5*m + 2*j = 17 + c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + v - 2*c + 77, -5*v = 3*c - 78. Suppose -j + v = 12. Solve -11*g**3 + 10*g**2 - g**j + 10*g**2 - 16 + 16*g = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51537944313765 + 0.3.\nAnswer: 51537944313765.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36813, 36812, 36811, 36810?\n\"Answer: -p + 36814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, g: 4, x: 3, d: 5, l: 6}. Give prob of picking 1 x and 1 d.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12.4*13.547\nAnswer: -167.9828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 62.6, -0.116?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 17, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18422*d**4 + 18419*d**4 - 136*d**3 - d**2 - 36843*d**4 in the form o*d**2 + f*d**3 + v + i*d + a*d**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 6*g + 1. Determine u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3567.12kg to grams.\nAnswer: 3567120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86801 or 689?\nAnswer: 86801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 8\/13*b**4 - 440\/13*b - 2\/13*b**5 + 46\/13*b**3 - 400\/13 - 76\/13*b**2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.32 and 215.5.\nAnswer: -499.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/23))\/w*w*w)\/((w*((w\/(w**39\/w))\/w)\/w)\/w)*w\/(w**(-2\/85)*w)*((((w**(-12)\/w)\/w)\/w)\/w)\/w*w assuming w is positive.\nAnswer: w**(48666\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1, -6, -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 + 5*r**2 - 5*r + 5. What is the remainder when f(-4) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let u = 4 - c. Suppose -u*g + 47 + 38 = 0. Solve -g = -2*w - 5*y, -2*w - 7 = -6*w - y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.567 + 23.7. Let a = s - 0.133202. What is a rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 2\/6. Suppose v*x + 2*x = 454. Suppose -4*h = 27 - x. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -547, -2184, -4909, -8722, -13623, -19612, -26689?\n\"Answer: -544*o**2 - 5*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1986231 - -3871\nAnswer: -1982360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x + 8, 4 = -3*j - x. Suppose 2*z + 33 - 197 = j. Suppose -5*n = -k - z, 3*n = k + 18 + 30. Solve -2*p + h = -p - 1, p + 3*h = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + x + 15 = 0, -23 = 4*s + 3*x + 12. Let n = 726 + -511. Let g(v) = -4*v**2 - 212 + n + 7*v + v**2 - v**3. Give g(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279 + 405. Suppose s - 156 = -5*l - s, -4*l - s = -h. Calculate the lowest common multiple of 32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 + 9 - 36\/(2 + -4) and 145?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 24 = -4*a, 597*a - 598*a = t + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = -2*s. Let h(v) = -v**2 + v**2 - 8*v - s*v**2 - 6 + 2*v**2. Let d be h(-6). Is d >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -49.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -240, -479, -718, -957, -1196, -1435?\n\"Answer: -239*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 469042.4ml?\nAnswer: 469.0424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 - 325.815. Let v = h - 0.069. Round v to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) -4167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 4)*(3*s - 5*s + 0*s) + (-25 - 3 + 3)*(0*s + 0*s - 2*s))*(3 - 1 - 1).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 4)*(2 + 0 - 1) - 6 + 3 + 1 + (-1 + 5 - 3)*(0 + 0 - 1))*(-23 + l + 23) as a + w*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36772212, 36772208, 36772202, 36772194, 36772184?\nAnswer: 36772172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5150 and 42745?\nAnswer: 427450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/5 + 200*i**4 + 9866*i**3\/5 + 6484*i**2 + 39232*i\/5 + 3136 = 0.\nAnswer: -490, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132689 (base 10) to base 13.\nAnswer: 30873c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**2\/2 + 2*z + 1. Suppose 0 = -u - 1 - 1. Let o be l(u). Solve 5*c = 4*h - 9, o = -4*h + 4*c + 12 - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((((g**(-1\/6)\/g)\/g)\/g)\/g)*g\/(g*g*g*g\/((g\/g**1)\/g)*g)*g)**(-5\/7) assuming g is positive.\nAnswer: g**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -575*w. Let s(i) = 17*i**2 + 60*i**2 - 89*i**2 + 11*i**2. What is d(s(k))?\nAnswer: 575*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -2. Which is the nearest to g? (a) -0.3 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20*b - 4971592 + 4971592. Let h(k) = 6*k**2. Let j(q) = -q**2. Let n(u) = -5*h(u) - 35*j(u). Give i(n(w)).\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from wvvhvhwww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -115. Suppose -3*p - n*k = -673, -4*p + 4*k + 904 = -36. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -11 + (-5045)\/(-1685). Which is the third smallest value? (a) 1\/5 (b) -2 (c) 4\/7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865810 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znkkzknkznkkk. Give prob of picking 3 n and 1 k.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 48*c**2 + c + 180. Let a be u(48). What is the highest common divisor of 608 and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose -5*w + g + 43 = 2*n, 0 = -3*n - 5*w + 55. Suppose -22 = -4*z + 2. Solve -2*c - z = k, -n = c - 0*c + 4*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 9*u + 4. Let o(m) = 5 + 5*m**2 + 7*m - 3*m**2 + 3*m. Let a(b) = -2*o(b) + 3*z(b). What is the remainder when 15 is divided by a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 313 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108 - 104 + 259)*(5*a + 7*a - 3*a) as f*a + w and give f.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 457 - 446. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2613\/(-78390) + 1\/6*2.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*r - 3*m**2*z**3 + 435*m**2 - 6*m*r*z**3 + 2*z**2 wrt z.\nAnswer: -18*m**2 - 36*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 2, q: 6, k: 2}. Give prob of picking 1 o and 1 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/3 - 2402*j**3\/3 - 385202*j**2\/3 - 2904958*j\/3 + 1097520 = 0?\nAnswer: -136, -9, 1, 1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -546 + 548. What is the fourth biggest value in 1\/6, -3, n, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -7*z**3\/3 + 8*z**2 - 1. What is the second derivative of c(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74692?\nAnswer: 2, 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(3\/22)*(j**9\/j*j)\/(j*j*j\/j**4*j*j*j) assuming j is positive.\nAnswer: j**(613\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/10)\/((-3)\/(-10)). Let y = 62 + -56. What is the derivative of b*o - y*o + 2*o + o + 1 wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l**2 + 3*l + 13*l**2 - 3*l. Let c(h) = 2*h. Give c(d(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) 4\/5 (c) -5 (d) -897\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374542117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 2*y**2 - 3*y**2 + (2*y + y - y)*(-4 - 3*y + 4) to the form c + t*y + a*y**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-4 + 0 + 3). Suppose 0 = 3*u - r - 10, 2*u - 3*r + 10 = f*u. Suppose -5*o - 2*k + 86 = -7, -4*k - 80 = -u*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66811*a*w**2 + 255177*a - 2*w**4 wrt w?\nAnswer: -133622*a*w - 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2 - 9 + 2*h.\nAnswer: 2*h - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 0.5, 222, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128731871.\nAnswer: 17, 31, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let z(c) be the second derivative of -c**4\/6 + 5*c**3\/6 - 30*c. Calculate n(z(k)).\nAnswer: 4*k**4 - 20*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 6*m + 2*m - 3*m + (m + 2 - 2)*(4 - 2 - 1))*(-1 + 1 - 1) to the form p + o*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127980722?\nAnswer: 2, 3527, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2)*v)\/v)**34 assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87*9132130.\nAnswer: -794495310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -3, 2\/13, 1 in descending order.\nAnswer: 1, 0.4, 2\/13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + 244. Let s = -339.0488 + b. What is s rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c)*(-3778 + 3778 - 229*c**2).\nAnswer: 458*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2486*x. Let y(o) = -45296 - 45294 + 90590 - 2*o. Calculate y(i(k)).\nAnswer: -4972*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Let x(r) = -105*r + 1432696. Determine x(g(n)).\nAnswer: -210*n**2 + 1432696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5239.89 months to years.\nAnswer: 436.6575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/187 in 4, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013556034 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13759112, -27518253, -41277394, -55036535, -68795676, -82554817?\nAnswer: -96313958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/2*72\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*8\/(-80))\/(16\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + m. Find the common denominator of ((-10)\/(2 + m))\/((-84)\/182) and -7\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**4 - 63*f?\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 2 - 1) + -1. Let k = z - -4. Let d = -1 + -1. Which is the nearest to d? (a) -0.4 (b) k (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*1\/44)\/(1\/((-20)\/15))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2379\/16 - -725699\/4880. Let i = l - 4847\/2745. Calculate the common denominator of 79\/30 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(176) + sqrt(11) + (sqrt(110) + sqrt(110)*2 + sqrt(110))\/sqrt(10).\nAnswer: -2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -142754, -285510, -428266, -571022, -713778?\n\"Answer: -142756*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d + 64. Let p(q) = 6*q - 72. Calculate 7*g(r) + 6*p(r).\nAnswer: r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7547442 litres in millilitres?\nAnswer: 754.7442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o + 1 - 8*o)*(5 + 2 - 3).\nAnswer: -4*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284067 - 284039. Factor 16\/5*r**2 + n*r**3 - 16\/5*r + 0.\nAnswer: 4*r*(5*r + 2)*(7*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(1700)*-4).\nAnswer: 1 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*d - 1302*d = -93*d + 458*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttbtb. Give prob of picking 2 t and 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13039, -52082, -117155, -208258, -325391?\n\"Answer: -13015*d**2 + 2*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4071 - 4067. Solve 0 = 2*y + d*c + 4, 7*c = -5*y + 4*c - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n. Let b(z) = 7*z**2 - 2*z. Let s(c) = 4*c**2. Let m(f) = -2*b(f) + 3*s(f). Let i be 1\/4 + 12\/16. Determine i*m(j) - 4*v(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:04 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a factor of 23881612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 991*i**3\/3 - 2847*i**2\/2 - 2963*i. Find the first derivative of t(z) wrt z.\nAnswer: 1982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 210.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84540842 and -43.93?\nAnswer: 84540798.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(153\/(-2))*(1296\/24)\/(-9)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1110200121211 (base 3) to base 13\nAnswer: 214774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfbnffwybzbnfnb. Give prob of picking 1 f, 1 y, 1 b, and 1 n.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 32*z + 312 = 36*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035755716 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 - 2*i**2 + i**2 - 1)*(57 + 36 - 2*i - 91 + 6798*i**2) as h*i**3 + k*i + g*i**4 + u + n*i**2 and give n.\nAnswer: -6806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(52) + -5))**2*5.\nAnswer: -100*sqrt(13) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 16 = 8*s. Suppose 6 = 4*t - s. Let b(j) = j**2 - t + 2. Let w(m) = 24*m. What is b(w(n))?\nAnswer: 576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0.2 (b) -0.3 (c) 1\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160.868 years in months?\nAnswer: 49930.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + 4?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - -11) + 4 + (-2 - (-11 - -13))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = -3*h. Suppose -d - 5*c = 32, 0*d + c - 30 = 5*d. Is (0 - d*2) + h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.041, 145, 2\/15, -5, 5.\nAnswer: -5, 2\/15, 2, 2.041, 5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*k**6 + 344*c*k**3 - 8*c*k + 2*k**2 wrt k?\nAnswer: 240*c*k**3 + 2064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -6. Suppose -3*v = j*g - 75, -5*v + g + 103 = 2*g. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 3, p: 3}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 8474924?\nAnswer: 59324468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 16. Find the common denominator of (7\/16)\/(16\/64) + -11 and 6\/r - 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134.2 - -100.68. Let t = 33.069 - 0.069. Let o = t + h. Round o to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**31\/s)\/s**(19\/4))\/(s\/(s**32\/s))**26 assuming s is positive.\nAnswer: s**(3221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 8. Let k(r) = -r + 1. Let h(a) = -2*k(a) + z(a). Let i(y) = y + 1. Let b(q) = h(q) - 6*i(q). Let t(n) = 8*n. Give b(t(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/2*d**3 + 0 + 4*d**2 + 0*d - 5\/6*d**4. Calculate the remainder when p(-4) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 5. Let x(y) = -1. Let f(s) = -6*r(s) + 30*x(s). Let d(c) = -569*c - 1. Calculate f(d(g)).\nAnswer: 3414*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-25))\/(36\/(-15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 234 = 5*g - 2*r, -5*g - 195 = -5*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2\/7))\/(-35 - 1518\/(-44)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499498700 rounded to the nearest 100000?\nAnswer: 1499500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 27090*h - 243808\/9.\nAnswer: -2*(h - 121904)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 5:30 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2200 by 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 22*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 24*q - 93. Suppose 7*n + 10*n - 612 = 0. What are the prime factors of i(n)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*k - 4 + 5*k**2 + 32*k in the form v*k + b*k**2 + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5919840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) + (sqrt(1500)*1 + sqrt(1500) - sqrt(1500)))\/(sqrt(90)\/sqrt(81)))\/((-2*sqrt(256))\/((sqrt(40)\/sqrt(5))\/sqrt(4))).\nAnswer: -15*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-7))\/((-532)\/(-865830)). Which is smaller: g or 931?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*-4194\nAnswer: -83880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12845.0000096 + 12845. What is f rounded to 7 dps?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4 + 777\/(-84). Let p be x\/6 + (-104)\/(-39). Let y be p\/(-1) - (-11 - 3). Solve 5 - y = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2308521, 2308490, 2308459, 2308428, 2308397, 2308366?\n\"Answer: -31*s + 2308552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (1080\/70)\/((-1)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:47 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 135010312.\nAnswer: 1080082496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + 11*w - 9*w**2 - 6*w**3 + 6*w**2 + 6*w**2. Let t be h(5). Solve 3*a + t = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*2\/80)\/((-11)\/(-495)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100794 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/((-2)\/(-18)). Suppose -i = a + 2 - 4, -8 = -4*a - 3*i. Let l be (a\/(-3))\/(p\/18). Calculate the greatest common divisor of 12 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21)*(-308)\/(-66)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -11*o**2\/5 + 9666*o\/5 + 2464 = 0?\nAnswer: -14\/11, 880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3 + f**2*k**3 + 2*f*k + 5*f + 3*k**3 - 1646*k**2 wrt f?\nAnswer: -6*f**2 + 2*f*k**3 + 2*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.117 - -6.066. What is the closest to u in -3, 0.3, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/7, 6, 131 in decreasing order.\nAnswer: 131, 6, 2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s**2 - 55*s - 125*s**2 - 3 + 57*s**2 + 3.\nAnswer: -2*s**2 - 55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from {j: 1, v: 5, x: 2, g: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8965639 hours to days.\nAnswer: 0.1206901625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o - 50*o - 7532 = -748 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*p + 70*p + 2163445 = 99*p. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573204134 to the power of 1\/3, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o**3 - 29*o**2 + 31*o + 19. Let c(g) = -7*g**3 + 15*g**2 - 16*g - 10. Let i(a) = -11*c(a) - 6*u(a). What are the prime factors of i(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 5, c: 8}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(12\/1)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 + 2 = 0. Suppose 0 = a*z - l - 19, 0*z + 2*z - 4*l - 16 = 0. What is the common denominator of z\/32*(-568)\/12 and 101\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/12, -12, 1, -4, 2\/7?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = a - 4, 5*y = -3*a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjkjjkjkjjkkjjll. What is prob of sequence mk?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 1:18 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1240 + -154?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/w**(-9))\/w)**35\/(w*w**(-7)\/w*w*w*w**(6\/5)) assuming w is positive.\nAnswer: w**(1944\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.088? (a) -0.09 (b) -27 (c) -3 (d) 5 (e) 6 (f) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23729897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.4 + -26. Let o = k - 5.3. Let p = 2.90041 + o. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243 + 185. Let j = v + 58.00194. Round j to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6905*f + 3072 - 1543 - 1529 to the form v*f + c and give v.\nAnswer: 6905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 278, -29 in increasing order.\nAnswer: -29, -5, -1, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412 + 418. Suppose p + 3521 = -3*z + n*z, -p = 3*z - 3529. What is the highest common divisor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*n = -0*u + 12, -3*u + 5*n + 9 = 0. Let z be 0 + 0 - (-2)\/5. What is the nearest to z in 0.2, u, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m - 118 = -143 - 335. Solve -2*y - 2*h = -8, 3*h - 3 = -4*y + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.4. Suppose 2*z + 0*i + 5*i = 4, 4*z = 5*i - 22. Which is the nearest to 0.1? (a) 2\/7 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05293 take away 0?\nAnswer: 0.05293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - a**2 - 1 + 2*a - 2*a**2 - 3*a**2. Let d(p) = -p**3 + 2*p**2 + 2*p + 5. Let j be d(4). Let z = 21 + j. Determine x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -2*q. Solve 3*n + 14 = -q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = 172. Let s = -53 - c. Calculate the least common multiple of 21 and s.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (7 + -18 + 7). Suppose p = 5*f + 29 - 44. Solve 0 = -f*c - 6 - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 3*x**5\/20 - 19*x**4\/12 + 14*x. Find the third derivative of t(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92677?\nAnswer: 13, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 560 - 526. What is the remainder when 155 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -1\/2 (c) -10 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 256 + 184. What is the smallest common multiple of 8 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-3) + (-5 - -3). Solve 4*y + 2*f - 2 = 0, y + d = 3*f - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or -1504?\nAnswer: -1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 7*g - 10. What is the tens digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12*2)\/(2\/3). Let c = 30 + -4. Let v = -14 + c. What is the greatest common divisor of u and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:19 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10995*n - 11182*n + 2992 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 172 + 181 = 0. What is the highest common divisor of 24 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x + 74. Let s be c(-4). Let t(h) = h**3 + 3*h**2 - 17*h + 8. Let i be t(s). Solve 1\/6*v**i - 1\/3*v + 0 = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -93, -233, -501, -939?\n\"Answer: -7*m**3 - m**2 - 2*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2571 + -2571.1941. Round k to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*x = 3299, a + 3*x + 409 = 1245. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166378.\nAnswer: 2, 41, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2. Let i(s) be the second derivative of -s**4\/6 + 26*s. Calculate i(k(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 - x**3 - 33*x - 3 - 6 + 34*x. Let z = 13 + -4. Let k be f(z). Solve n + 0 + 4 = k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 - 5)*(-50 - 32 - 20 - 6*g - 6*g) to x + u*g and give x.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2. Let i(v) = 2136*v**2. Give i(h(j)).\nAnswer: 19224*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1))**(-2\/37)*a**(-2\/11)*a*(a\/((a*a**(-2\/7))\/a*a))\/a)**(-19\/5))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 40, 128, 290, 550, 932, 1460?\nAnswer: 2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 272723 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: Expand (1 + w**2 + 3*w**2 - 3*w**2)*(9*w + 47 - 47).\nAnswer: 9*w**3 + 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10857 + 4?\nAnswer: 1085b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -574*u - 72. What are the prime factors of v(-3)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or -1957?\nAnswer: -1957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:40 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-12 - -6 - -7)) + 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 16*n + 134 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(-3))**(2\/145)\/(i\/(i**(-7)\/i*i)*i\/(i\/i**(-1\/4))*i) assuming i is positive.\nAnswer: i**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -0.3, -1\/34444 in descending order.\nAnswer: 30, -1\/34444, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14271.3 + 14270. Which is the closest to 2\/5? (a) -0.2 (b) -0.6 (c) w (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a291b (base 14) to base 16\nAnswer: -5f90d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 111833, 447349, 1006543, 1789415, 2795965?\n\"Answer: 111839*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -z + 6 + 3, 3*a = 5*z - 77. Suppose z*b - 20 = 136. Calculate the least common multiple of 20 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from gmmrgwwmrmhmwmwamam.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/75 + -61\/150. Which is the closest to 13\/6? (a) 1\/3 (b) 2 (c) 0.5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7*l**6\/2 + 2*l**2 + 17. What is the second derivative of i(j) wrt j?\nAnswer: 420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/6)\/9)\/(-1*(-116)\/(-12))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 10:32 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1653\/4189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540116 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2. Suppose -89 = -u + 4*j, -u = -2*u - j + 69. Let s(y) = -71*y + u*y - 70*y - 99*y. Determine s(w(o)).\nAnswer: 334*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1\/5, 1.8, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - 95. Solve 0*f + q = 4*i + 5*f, 0 = -3*i + f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6719.\nAnswer: 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68, -148, -278, -458, -688, -968?\n\"Answer: -25*l**2 - 5*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q + 140 = -116 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/2773275 and -57\/1848850.\nAnswer: 5546550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.098 + -1.29. Let y = -8.192 - l. Which is the second smallest value? (a) 3 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 954470778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.5 + -1.5. Let y = i + -151.7. What is y rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 111 - 281 = 0 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o - 24 = 116*o. What is the smallest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*i + 114. Let d be 2*1 - (19 + i). What are the prime factors of ((-2)\/2)\/(d\/(-118))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 8*p**2 - 6*p**2 - 7*p**2 + 30*p**2 - 5.\nAnswer: 7*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 1201310132?\nAnswer: -1201310210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 7*n + 159. Let k be c(0). What is k rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.913, -4\/5, 0.2?\nAnswer: 0.913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1373344 and 1792?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -148, -149, -150, -151?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(76)*-4 - sqrt(76) - sqrt(76))\/(5*sqrt(32)\/sqrt(8)).\nAnswer: 14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let u(l) be the first derivative of -3 + 0*l + 0*l**2 - 1\/3*l**3. What is u(g(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/8)\/(((-9)\/(-12))\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.65837 rounded to 1 decimal place?\nAnswer: 125.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11650 divided by 233.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 + 12 - 1) + 14. Let u = -0.4 + -10.6. Put u, -0.3, s in decreasing order.\nAnswer: s, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**25*((i*(i**(-2\/73)\/i)\/i*i*i*i)\/i)\/i*i)\/(i*i**(-3)*i**(2\/27)))**49 assuming i is positive.\nAnswer: i**(2694412\/1971)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s. Let k(w) = -w. Let y(x) = -2*k(x) - z(x). Let j(p) = 5*p**2. Let b(c) = -c**2. Let v(l) = -6*b(l) - j(l). Give y(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 12 - 2 - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13981006859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 817.585931 to the nearest integer.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 18 + 20 + -25 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -117720095229481?\nAnswer: 117720095229480.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10)*121784\/(-7026)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8332?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -458, -4, -5, -1, -62 in descending order.\nAnswer: -1, -4, -5, -62, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 4. Let m be x(-6). Let r(w) = w**2 + 7*w - 3. Let y be r(m). Suppose 2*q = y*q. Solve 5*h + 5*b = 5, q*b = 3*h + 5*b - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**14*t)*t)\/(t*t*t**(-1\/13)\/t)*(((t**(6\/11)\/t)\/t)\/t)**(-45) assuming t is positive.\nAnswer: t**(13804\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from tttthtththththhhhtth?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u = -25*u + 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 449944 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/10*(-6)\/(-17)*1. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjgttkffjqfq. Give prob of sequence qt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-55) - (-1026)\/209. Solve -4 = 4*j + 4*r, r + 2*r + t = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*u + 5*p, -1271*u = -1274*u - p + 28 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5\/10 + 5*m**4\/8 - 5*m**3\/6 - 5*m**2\/4 + 3*m + 1234. Solve w(k) = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (3 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/28? (a) -0.148 (b) -0.465 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (118*s + 188*s - 216*s)*(2 + 2*s - 2)*(-1 - 2*s + 1) as q*s**2 + r*s**3 + j + v*s and give r.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123\/(-12)*(-19 + (-15)\/(-5))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2300051 = -2300062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -287519*m**4 - 203096 with respect to m.\nAnswer: -1150076*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 + 11\/63. Let z = 11 + -8. Suppose 0 = l - z + 2. Which is the nearest to -0.1? (a) -2\/7 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:47 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 28*u - u**4 + 3 - 11 + 20 + 19*u**2.\nAnswer: -(u - 2)*(u - 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 80.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -26363.7 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -5 - 11 - -11) + 28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6, 0, -616 in descending order.\nAnswer: 1, 0, -2, -6, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 481 and 7992.\nAnswer: 103896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.134 - 6.824. Let j = 73.7 - m. Let l = -8 - j. Round l to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4863, -9318, -13773?\nAnswer: -18228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/30 + 23*g**3\/5 + 1188*g**2\/5 - 8718*g. Let a(p) = 0. Calculate p.\nAnswer: -36, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + g - 14 = 0, n + 4 = 3*n + 2*g. Let p be (-6 + 5)*n\/(-2). Solve -3*o = 9, 2*o - p = -2*a - 0*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1630, 1267, 904, 541, 178, -185?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -368\nAnswer: -31\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, -4, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 2*w - 3*i, 0 = 4*w - 5*i - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4 - 4*u + 2*u + (2*u + 2 - 2)*(4 - 5 - 1) + 1 + 2*u - 1.\nAnswer: -4*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 u, and 1 o when four letters picked without replacement from {o: 1, u: 3, e: 1, s: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-684) - (-310)\/(-1638))*267\/(-267).\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)\/g)**17*g*g*g\/(g\/g**(-1\/4))*(((g\/((g*(g\/(g**7\/g))\/g*g)\/g))\/g)\/g)\/g assuming g is positive.\nAnswer: g**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - 8. Suppose 100 = -4*k + 292. Let c = k + f. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*y**2 - 74*a**2*y - 13*a**2 + 4*y**3 wrt y?\nAnswer: -2*a**2*y - 74*a**2 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 0*o**2 - 9*o**2 - 12*o**2 to m + w*o + b*o**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 36. Let s = 0.1 + -0.1. What is the closest to k in s, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*p + 16, 0 = -37*n + 33*n - 4*p + 40. Solve -15*g = n - 11 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268610 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 11*b**3 - 18*b**2 + 56*b + 64 = 0. Calculate b.\nAnswer: -8, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14816256 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let w(z) = 3*z - 5. Suppose 0 = -2*t + 38 - 36. Determine t*w(m) + 4*v(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 99.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(33) + sqrt(33))*1)\/(sqrt(432) - (sqrt(432)*1 + sqrt(432))) + 3 + (-1*4*sqrt(55)\/sqrt(80))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 32 = 32. What is the greatest common factor of 96 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624 (base 10) to base 6.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.3 (c) -1322140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 320.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 80*v + 150. Calculate y(22).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99296 is divided by 662.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 66 + 55 + 54 - 7353*q.\nAnswer: -7353*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r - 9. Let y(l) = l**2 - 6*l + 6. Let p be y(7). Let w = p - 62. Let i = w + 55. Calculate b(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3508456 and 8084.\nAnswer: 3508456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1696, -3397, -5098, -6799, -8500?\nAnswer: -10201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 156*h - 156. What is l(155)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -6, 0.5, -3\/217, 2 in decreasing order.\nAnswer: 34, 2, 0.5, -3\/217, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 12*k + 4. Suppose -k*s + 6*s = 2*w - 50, 0 = 4*s + 3*w + 65. Find the common denominator of s*((-180)\/(-152) - 1) and -17\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4*u**3 + 18*p**4 - p*u**3 - 512*u**3 with respect to p.\nAnswer: -8*p**3*u**3 + 72*p**3 - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4097 divided by 17\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1020564325?\nAnswer: -1020564332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 4.2. Let j = -6 - -17. Suppose -j*y - 35 - 9 = 0. What is the second biggest value in -0.3, d, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Let o = 21 - 21.24. Let h = o - 4.76. Which is the third smallest value? (a) h (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:27 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.85876 and -16.\nAnswer: -317.74016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/120 - 19*v**6\/360 + v**5\/15 + v**4\/6 - v**3\/2 + v**2. Let p(o) be the first derivative of x(o). Factor p(t).\nAnswer: (t - 2)*(t - 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 1792 = -1336. Calculate the greatest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) + 1)**2*-6 + (sqrt(100)*2)\/(sqrt(12)\/sqrt(96)).\nAnswer: -779 - 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 6*h + 6. Let l(j) = j + 1. Let r be ((-3)\/15)\/((-9)\/45). Let i(c) = r*d(c) - 6*l(c). Let n(x) = -x**2 - 14. What is i(n(g))?\nAnswer: -g**4 - 28*g**2 - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**5\/30 + n**4\/3 + n**3 + 40*n**2 + 8. Determine l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -19, -10, 3?\n\"Answer: 2*a**2 - a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 892825332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 28335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 127738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 43 + 147 = 4 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 14*u - 5*r - 10, 3*r = -3. Solve -16 = -4*o, 4*p = u*p + o - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 4 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efc when three letters picked without replacement from {f: 1, e: 5, c: 3}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032118 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2\/16389 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.133+-3125\nAnswer: -3125.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(-140*r + 86*r + 73*r) + 98*r + 11*r**2 - 98*r.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/1155 + 57*r**6\/220 - 7049*r**5\/330 - 7453*r**4\/44 - 5046*r**3\/11 - 1487*r**2. Find g, given that n(g) = 0.\nAnswer: -2, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.95. Let z = g + 24.95. Let s = 25.2 - z. Which is smaller: s or 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a + 1151. Calculate h(46).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 136 = -4*n - 0*n, -2*h + 71 = -3*n. Suppose 0 = -2*z + 4*p + 44, 4*z = p + h + 22. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1 - 5 - 5 - 5 + (-1 + 4 - 1)*(3 - 2 + 2))*(-7*m + 114*m**2 - m**3 - 114*m**2) in the form z*m**2 + r*m + s*m**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d + 380149 = 380909 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 47.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b7ed0 (base 15) in base 7?\nAnswer: -101100423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -720*u**4 - 1236*u**3 + 84*u**2 + 27*u. Let d(h) = -103*h**4 - 176*h**3 + 12*h**2 + 4*h. Let i(m) = -27*d(m) + 4*w(m). Factor i(g).\nAnswer: -3*g**2*(g + 2)*(33*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**14)\/(d*d**10))\/(d**3\/d**(6\/13)) assuming d is positive.\nAnswer: d**(-345\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1298 + 5*n**2 + 1298.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 3890?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10962161 is divided by 5481069.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 929353354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26306*z - 52271*z + 25963*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274524046.\nAnswer: 2, 637262023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3521037 is divided by 9600?\nAnswer: 7437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803965044.\nAnswer: 2, 3, 107, 293, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/1507, 0.1, 10.9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p - 9 - p**2 + 14 - 6. Let l be v(-4). Solve 0 = -l*b + z + 9 - 0, b = z + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-1)\/(-33))\/(-8*(-2)\/(-88))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041264 rounded to five dps?\nAnswer: -0.00413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m - 2*p, 2*m + 8 = -3*m + 2*p. Suppose -3 = 5*q + 7, m = -4*u - q - 1742. Let l = -172 - u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.5. Let p be (-210)\/80*(-92)\/161. Which is the closest to -1.1? (a) -2\/7 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.94 + -11.76. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77421*g**4 - 4*g**2 - 2677*g + 1.\nAnswer: -1858104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(12)\/sqrt(4) + -4)**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/4*x**4 + 0*x - 3*x**2 + 0 + 0*x**3. Let y(r) = -r. Calculate s(y(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12626 times 8?\nAnswer: -101008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1. Suppose h + 3*h = 3*r - 1, 4*h - 5*r = -7. Suppose -3*t - 2 = -2*g, -h*t = t + 3*g + 12. Sort d, 5, t in decreasing order.\nAnswer: 5, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 180 - 33*d - 180 + 34*d. Suppose 2*w - 1 = -x, 3*x - w + 17 = -2*x. Let b(z) = z + 1. Determine x*b(t) + 2*a(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 3*n**2 - 3*n - 3\/2*n**3 + 2 + 1\/4*n**4. Let b(j) be the first derivative of p(j). Determine z so that b(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*c + 16*c**2 - 21 + 21 wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5)\/((-3)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - (1 - 3)) + (-73 - -85)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6267 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0835006 rounded to 4 decimal places?\nAnswer: 0.0835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20670*i**5 + 72409*i.\nAnswer: 413400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -95522, 3 in descending order.\nAnswer: 3, -3, -5, -95522","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 29, 104, 249, 488, 845, 1344?\n\"Answer: 4*r**3 - r**2 + 4*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-35))\/(((-1)\/14)\/(105\/(-14) + 9))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 137774.\nAnswer: 15981784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1926535ug to kilograms.\nAnswer: 0.0000000001926535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1 + -6 - ((-1144)\/36 + 2\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 22*m**2 + 7. Let t be p(-22). Let v be (-1 - 1) + 3 - t. Suppose -4*n + h - 20 = 0, h + 4 = 2*n - 3*h. Is n > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -11 - (-1 + 0 + 1 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170270059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, 4, 8, 4, -8?\n\"Answer: -4*d**2 + 24*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 9*r - 26*r + 16*r)*(0 - 2 + 3)*(1 + 3 + 0)*(254 + 229 - 568) to u*r + j and give j.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26759, 26753, 26741, 26723, 26699?\nAnswer: 26669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 5*y**2 + 14*y. Let t(h) = -5*h**3 - 14*h**2 - 42*h. What is 8*r(n) + 3*t(n)?\nAnswer: n**3 - 2*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 668 - 441. Suppose 0*n - n = -r + x, 462 = 2*r - 4*n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115163\/21 + 5485. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = 0. Let i = 2 - d. Let n(p) = p + 6. Let a be n(-3). Put -5, i, a in decreasing order.\nAnswer: a, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrxxrxrxrrx. Give prob of picking 2 r and 2 x.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 27*g - 54 = 0. What is g?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234063 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 6) + -8 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -899 - -1530. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (-18 + (11 - -11) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 184*j - 290 = 595. Let s(t) = t - 5. Let w be s(8). Sort -5, w, -29, j in ascending order.\nAnswer: -29, -5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - -11. Let q = u - 14. Let t = -3.5 - q. Which is the nearest to -1? (a) -0.2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -0.7, 0.2, 6, -0.06, 4\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-36)*(-45)\/(-75). Which is the second biggest value? (a) 25 (b) j (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 14. Sort 0, 3, t.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -16*y - 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1316 = 97*j. Let v = 2 + 0. Calculate the lowest common multiple of j and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1 - 3 - b + 3. Let j be z(-2). What are the prime factors of 1 + 1 + (1 - j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3440978*t**2 + 2*t + 123650168 wrt t.\nAnswer: -6881956*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2 - 3026*s**2 - 23*s + 26*s + 3030*s**2. Let r(q) = 17*q**2 + 13*q + 7. Give 9*h(l) - 2*r(l).\nAnswer: 2*l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1292036 or -2.24?\nAnswer: -0.1292036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 2*g**2 + g - 3. Let r be b(-3). Let d = -26 + r. Solve -d*n + 3*n - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28800 and 1080.\nAnswer: 86400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7100 - 7100. Let z = 0 - -0.1. Sort l, -10, 4, z in decreasing order.\nAnswer: 4, z, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - r + 0*r + 0*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2e (base 16) to base 2\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:21 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27*c**2 + 14409*c - 34030. Calculate g(-536).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - g. Let s = -15 - -20. Let i = 9 - s. Suppose 0 = -5*l + i + 6. Calculate f(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 634, -0.4, 16, -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7661.167 to the nearest integer.\nAnswer: 7661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 43\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -39?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 - 2*p**2 + 2*p**2)*(-12*p - 12*p - 13*p - p**2) in the form a*p**3 + u*p + j*p**4 + i + t*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 171 - 143)*(-14*h**4 + 5*h**4 - 10*h**4).\nAnswer: 4560*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/42 - -1\/7. What is the closest to 0 in 0, 3\/2, 129, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 97 - 4*w + 51 - w.\nAnswer: -w - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7400? (a) 3 (b) -1337 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14031, 56007, 125901, 223713, 349443, 503091?\nAnswer: 684657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54108387.\nAnswer: 3, 6012043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 1 - 29*u to the form f*u + j and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = 64. List the prime factors of 1 - (1 - -1)*z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -23*x**2 - 138*x - 111. Let l be d(-3). Factor l + 0*f**2 + 2\/13*f**3 - 8\/13*f.\nAnswer: 2*f*(f - 2)*(f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193075 is divided by 193047?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v + 48*v = -4. Let x = -6 + 4. Put -0.4, -2\/7, v, x in decreasing order.\nAnswer: v, -2\/7, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**3 + 6*n**2 + 20*n - 27. Let g(t) = t**3 + t**2 - 1. Let k(h) = -6*g(h) + u(h). Find the first derivative of k(j) wrt j.\nAnswer: 3*j**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13\/6 (b) 2\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 18131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0.97. Let f = d - -0.9. Which is the closest to f? (a) 0.4 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -10. Let d = 377 + -345. What is the remainder when d is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 60993\/(-2430) + (-4)\/(-40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaq when three letters picked without replacement from {a: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/11 + 15)*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/909672 and 91\/696?\nAnswer: 909672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - -2)\/(-1))\/1. Let j = -36.8704 + -0.0896. Let s = j - -37. What is the nearest to y in s, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (-2*(6*(sqrt(1900) + sqrt(1900) + sqrt(1900)*1 + 4)*5 + -4))**2).\nAnswer: 5011200*sqrt(19) + 369682926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -21406*v**2 - 10*v - 1. Let r(j) = -4*j**2. Give s(r(y)).\nAnswer: -342496*y**4 + 40*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + -20604?\nAnswer: -20641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -15*2\/(-3)*17\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 46173856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 9*i**2 + 21*i + 119. Give w(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:51 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402\/7 - 58. Let g = 2.2 - 2.29. Let s = g + 0.59. What is the nearest to -0.1 in j, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + -3 - (-1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2. Let x(h) = 3*h**2 + 25. What is m(x(p))?\nAnswer: 36*p**4 + 600*p**2 + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = s, 2*z - s - 6 = -1. What is i in 2\/3*i**2 - 2\/3*i**z + 1\/3*i - 1\/3*i**4 + 1\/3*i**5 - 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-30)*(-5)\/1. Suppose -b*k = 4*c - 98 - 16, 0 = -2*c - 3*k + 54. Solve -c + 22 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883 = 12*b - 98*b + 109 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013741 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (-70 - -83 - (-6 - -16))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1437, 1457, 1487, 1527?\n\"Answer: 5*o**2 + 5*o + 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 2, -3*g = s - 10. Suppose m - g*m = 2*u + 22, -5*u = -4*m + 9. List the prime factors of (-1 - u)*(-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(396)*6 - ((-4 + -2*sqrt(11))**2 - sqrt(11))).\nAnswer: -62 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -516.0196?\nAnswer: 521.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3 + 0*i**2 + 3*i**3 - 3*i**2 + i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -470643*j**5 + 470650*j**5 + j**4 - 14*j**4 + (3*j**3 + j**4 + j**4 - 2*j**5 - 2*j**3)*(-2 + 1 + 4).\nAnswer: j**5 - 7*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + (-7 - -19) + 4\/2 + 2. Solve l = 7*b - 38 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(117) - (sqrt(117) + 4))**2)*-1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*h - 13, -47*i + 4*h - 19 = -48*i. Let f = 3.4 + 0.4. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 124822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957408.\nAnswer: 2, 61169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-k - 2 + 2)*(k**2 + k - k + (12*k + 8*k + 0*k)*(3*k + 3*k - 7*k)) in the form f + s*k**3 + y*k**2 + q*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:27 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 10*s = 8*i - 6*i - 10, -2*i = s - 5*s + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109051541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2784 divided by -6.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*w - 24, 6*x + 4*w + 28 = 9*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14158164 take away 0.5?\nAnswer: 14158163.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4 + (-465)\/(-2325) - -4.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c. Let u(n) = -n**2 - 4*n. Let o(d) = -3*k(d) - 4*u(d). Let q = 253 + -250. Determine o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27414720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28447 is divided by 3128.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0847 times 0.5?\nAnswer: 0.04235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5836523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hemmmmmmumhmmvuumdm. What is prob of picking 1 m and 1 e?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 13*x + 2. Let d be m(0). Let k(y) = -4*y**2. Give k(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2851 - -4\nAnswer: -2847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5666\/49259 + -24132615695\/443331. Let k = -54436 - a. What is the common denominator of 38\/3 and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -11.1, 2\/15, 2, 2\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -19. Let g be (-5)\/s - 398\/(-4). Let n = -51 + g. What is the highest common factor of n and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.331 and -40.57.\nAnswer: -40.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4860?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 3*v - 9*v - v - 12 - 10*v. Let n(p) = 2*p**2. Give m(n(k)).\nAnswer: -54*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obv when three letters picked without replacement from {o: 4, p: 2, v: 2, b: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -287300 (base 9) to base 2\nAnswer: -101010111100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 480 + -480.0251. What is k rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:13 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = x + 3, -3*x = 2*j - 12. Suppose 4*o + 6 = -2*f - 10, x*f - 24 = 4*o. Let a(g) = 4*g + 27. Let v be a(-6). Solve -5*k - v = -f*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23aa15 (base 14) to base 12\nAnswer: 4aa24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-704)\/2464 - 32\/35?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4508021, 18032080, 40572177, 72128312, 112700485, 162288696?\n\"Answer: 4508019*p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(425) - -2*-2*sqrt(425)) + -2)*6 + -5)**2*1 + -5.\nAnswer: 3060*sqrt(17) + 137987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/12 + n**2. Let m = -9 + 11. Let t be j(m). Solve -2*f - 7*l + 3*l - 20 = 0, -t*f - 4*l - 28 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3402*d - 133. Is x(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10163111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17.067. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - -0.34. Let h = w + 3.2. Round h to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9)**(20\/7)\/(j\/(j*(j\/j**(-15\/2))\/j)*j**40) assuming j is positive.\nAnswer: j**(-95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 + -14365\/53. Let x = j - -169\/265. Suppose -1\/5*v**3 - x*v**2 - 1\/5 - 3\/5*v = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/8 - -1)\/(2\/(-12)). Suppose 5*h - 20 = -b + r, 5*h - 23 = 2*b. What is the remainder when (-354)\/(-18) + 4\/(-6) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 - 165*c**2 + 1755*c - 5915 = 0?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*s - 170, 220 = 4*s - g + 85. Suppose -6*z + z = -45. Calculate the remainder when s is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k + 3 = 0. Let s be (12\/8)\/(k\/(-10)). Find the second derivative of 0*z + z**s + 0*z + 2*z wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 134 = -77 - 74. Let m be 0 + ((-3)\/(-1))\/6. What is the third smallest value in c, 5, -1\/6, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909846159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -a4?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Suppose x*z = -0*h + 3*h + 79, 0 = z + 4*h + 4. Suppose 0 = -0*u + 2*u - z. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 70*i**3 - 2*i**2 - 2*i - 2. Let v be z(-1). What is the hundreds digit of 6\/(-24) - (-6)\/(v\/(-3255))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 22. Suppose 7*k - 657 + 6 = 0. Let w = k - 86. Let q(s) = -3*s - 15. Let g(z) = w*q(z) - 5*a(z). What is g(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 2*j. Put -3, -2, j in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542.3222 meters to millimeters.\nAnswer: 542322.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 10*n**2 + 223*n - 1921. Determine a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35219082 != -35219086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*-1 + -5)*-6 + 5*-3*(sqrt(99) + sqrt(11)))**2 + 4*((sqrt(77) - sqrt(77)*-3)\/sqrt(7) - (sqrt(1331)*4)**2).\nAnswer: -52208 - 3224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000159435741 rounded to seven dps?\nAnswer: -0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (137 - 154 - (0 - -5)) + -21?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8069.5 + -0.1.\nAnswer: -8069.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 457357 and 27139759.\nAnswer: 9731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2 + 5*c**3 + 14*c**3 - 2*c**2. Let h(k) be the first derivative of 3*k**4\/4 - 2*k**3\/3 - 166. Determine -6*d(t) + 39*h(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 4 = -2*v, 8*j - 5*j + 2 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4, 5, 53032, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 19240?\nAnswer: 19238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/30 + 8*u**2. Let p(r) = 12*r**2 + 15 + 14 - 29. Determine p(j(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10630645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 36 = -29*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17991253 a multiple of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10527?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*o - 3423 = 38907. Which is the nearest to 1\/4? (a) 0.2 (b) 2 (c) 3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9024*-2648.\nAnswer: -23895552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112.42 + 112. Let m = f + -0.58. What is the closest to m in -0.3, 2\/9, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 + 0*c**2 + 3*c**2)*(-29*c + 5 + 71 + 98*c + 285) to the form l*c + k*c**2 + y*c**3 + i and give y.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - a**2. Let f be l(1). Let d be 12\/3*72\/144. Suppose -328\/11*i**f + 98\/11*i**5 - 14*i**4 + 608\/11*i**d + 32\/11 - 256\/11*i = 0. Calculate i.\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -248782, -248781, -248780, -248779, -248778, -248777?\n\"Answer: a - 248783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 29. Let s = -43 - h. Find the second derivative of 3*l - 40*l**5 + 8*l**2 - 3*l**2 - 5*l**s wrt l.\nAnswer: -800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-368))\/((-5)\/60)*(-2)\/8.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2\/5 + 6784*y\/5 + 20388\/5 = 0. What is y?\nAnswer: -3, 1699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26*k - 30*k + 24296 = 0, -4*k - 24280 = -2*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-8))\/((-161)\/1012)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99029669 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 5) to base 11.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 0 (b) 1 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -58564*q**5\/35 - 228932*q**4\/7 - 1789832*q**3\/7 - 6996616*q**2\/7 - 13675204*q\/7 - 439. Find u such that h(u) = 0.\nAnswer: -43\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211\/30 + 41\/6. Let s = 5 + -5.4. Let n = 55 + -273\/5. Which is the nearest to -3? (a) n (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3. Let k(u) = 121*u - 99. Let a(m) = 33*b(m) + k(m). Let v(l) = -2*l. Calculate v(a(z)).\nAnswer: -242*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -46. Let n = -3453 - -3466. What is the remainder when i is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 5*s - 63 = 12 + 70, -63*r - 3*s + 3572 = -206*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -13*i**3\/3 - 2*i**2 + 467*i - 558. What is the first derivative of v(g) wrt g?\nAnswer: -26*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42479242 is divided by 1930873?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -29*j**2 - 328*j - 44. What is z(-14)?\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 - 9*v - 14. Let g be z(-7). Let m(c) = -c**3 - c**2 - c - 3. Let t be m(g). What is the smallest value in t, 4, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 - 9030440*j**3 - 88324*j**2 + 2*j - 5 wrt j?\nAnswer: -120*j**2 - 54182640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1975 (b) 22\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + -7 - 10096)*(-2 - 0\/7).\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1154 - 201113532?\nAnswer: -201115130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -0.6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 3*b**3 - 3*b**2 + b.\nAnswer: -b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19471130 divided by 7042.\nAnswer: -2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1200)*-1)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5239193.\nAnswer: 19, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/17))\/(a\/(a**(-1\/6)*a)))\/(a**4\/((a*a**(3\/2)\/a)\/a)) assuming a is positive.\nAnswer: a**(-130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t - 65. What is the remainder when t*(6 - (-162)\/(-12)) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*i - 42 = 0, -5*v + 2*i = -v - 30. What is the smallest common multiple of -1 + (-5)\/(1\/(-1)) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = b - 21, 4*p - 108 = -4*b. List the prime factors of (b - 31)*(-662)\/4.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + 9 + (-3 - 11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/16*6\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**4 + 30*a**3 + 5*a**2 + 30. Let y be (4\/(-3))\/((-3)\/(-36)). Let u = y + 17. Let w(q) = q**3 + 1. Let l(m) = u*d(m) - 30*w(m). Factor l(j).\nAnswer: -5*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 1. Let y be m(-1). Let f be (0 + -1)\/(y\/(-32)). Solve f*b - 12 = 0, 3*l + 3*b + 0 = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*m - m. Let u = 1 - m. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 + 1 = 0. Let w be 40\/30*(-3)\/x. Let h be ((-8)\/5)\/(w\/5). Solve h*g + 4*b = 2*b + 8, b = -g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 20. Let c be z(9). Let j = c - -18. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5337.62 + -5560.5969. Let q = -2473 - -2250. Let v = q - b. What is v rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z - 2. Let w be r(7). Let g(m) = -8 + 2 + 4 - m. Let t be g(w). Solve i + 2 = -t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1.19, 0.17, 11.81?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 108 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, v: 1}. Give prob of sequence jjv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**3*z**3 - 100*y**3*z - 164*y**3 wrt z?\nAnswer: -3*y**3*z**2 - 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 + 936*p - 216920 = 0 for p.\nAnswer: -638, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 0.2 (c) -0.1 (d) 0.02 (e) 0.18 (f) -486\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -116235554?\nAnswer: 116235556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15*q**3 - 2*q**2 + 1. Suppose -3*o + 2*w = o - 216, -w = 5*o - 270. What is the remainder when o is divided by j(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:43 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*(759\/(-297))\/23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/14029 - 28068\/70145. Put 10, 2, 22, p in descending order.\nAnswer: 22, 10, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65\/7*(-558)\/465*(-154)\/66\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -1\/33, 5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -10.2938?\nAnswer: -22.2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*x - 262*x + 340 = 0. Suppose 4*q + m - x = 9*q, 4*q + 4*m + 160 = 0. Let t = -11 - q. Solve -2*o + 4*a = -4, -t = -8*o + 3*o - 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p + 9 = 0. Find the third derivative of 4*c**2 + p*c**3 - c**3 + 3*c**3 + 2*c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150524 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*h**6 - 28*h**2?\nAnswer: 20160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/35)\/((-56)\/35)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20023 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:04 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 273084.2735 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -605 (b) -3 (c) 3711\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(34) - sqrt(68)\/sqrt(50) - sqrt(4114)*-1)\/(sqrt(162) + 4*sqrt(162)*4 - sqrt(162)).\nAnswer: 59*sqrt(17)\/720 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + -12 + -2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let x(c) be the third derivative of -c**5\/15 + 5*c**2. What is s(x(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c - 29*c - 384 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 174 = 3*k, -9*k = -4*k + 4*w + 290. Let x = k - -209. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -2*h**3\/3 - 15*h**2\/2 - 12*h. Let r be k(-6). Solve 5*y - 1 - 8 = s, 2*s = y - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171778346, 343556690, 515335034, 687113378, 858891722, 1030670066?\nAnswer: 1202448410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 11*a + 711. Let y = -83 - a. Let w(j) be the second derivative of j**4\/12 + 5*j**3\/6 + j**2\/2 - j. Give w(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266177743.\nAnswer: 13, 709, 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c**3 + 0*c**4 + 21*c**2 + 0 + 0*c**5 + 0*c + 1\/280*c**6. Suppose w(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.3, 121, -0.5, 3, 0.3 in decreasing order.\nAnswer: 121, 3, 0.3, 1\/6, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5731*y + 68665. Determine l(12).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716347741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*v = 2*x - 5, 2*x + 4*v = 32. Suppose 6 = -4*j - x. Let s(t) = -t**3 + 3*t**2 + 3*t + 4. Let o be s(4). Sort j, 5, o.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -49*s - 141. Let n be j(-3). Let y be (9 - 6501\/748)*(-1)\/n. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let q be 1*-6*4\/(-84). Put q, f, 3\/4 in ascending order.\nAnswer: q, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138761 and 602?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1404 by 27.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let m be (-5)\/(-1) - (-3 + 3). Suppose p - 4 = -3*u + 2*u, -2*p = m*u - 14. What is c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (12 - (-18 + (58 - 18)) - (-7 - -3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2764930 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 882477311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2)**(-10)*(s**3)**(1\/44) assuming s is positive.\nAnswer: s**(-1317\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + 0 + 4 + -7. Suppose 15 = p - 53. Is p\/f*(2 - -114) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(63)*-2 + sqrt(7) + (1 + sqrt(847))**2).\nAnswer: -3392 - 68*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -14. Suppose -2*i = -6, -5*v - 3*i + 2795 = z*i. Suppose -v = -5*w + 19. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-54)*3*-10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14389, -14328, -14181, -13906, -13461?\nAnswer: -12804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h - 28. Let l be r(4). Solve -2*f + 18 = 5*p, -l*f + 2*p = 8 - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -38*t**3 - 1257*t**2 - 93*t - 161. Determine u(-33).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjajzwzvvzvjvvjjw. Give prob of picking 1 a and 2 j.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7492 is divided by 645.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) + 20\/6. Suppose -2*y + 6 = w, 0 = 4*w - 2*y + 30 - d. Let q = -0.5 + 0.9. What is the biggest value in 2, w, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0 + y + y + 0*y + 1. Let l be h(-3). Which is the smallest value? (a) -3\/5 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -205, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -8*r - 48 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 83. Let m be u(-16). Suppose -2*o = 5*h - 331, 4*h + 81 = -m*o + 588. What are the prime factors of o?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 8*h = 3*h - 21, 0 = -5*m + 3*h - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 113. Suppose a*i - 122 = 2*m, -4*m - 177 = -i + 76. List the prime factors of (0 - m) + -6 + 2 + 3.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*t = -947 - 1969, 2*t = 5*c - 3638. Let y = c + 174. Suppose 20*w - y = 14*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22236 - 22228. Is b smaller than -589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 + 4*n**3\/5 + n**2\/5 - 4*n\/5.\nAnswer: -n*(n - 4)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = o + 6 + 4, 5*o + 40 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63107 - -34614. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 16799*t**3 + 2*t**2 - 16799*t**3 - 1 - 3*t**4 + 5*t**4 to h + r*t**3 + o*t**2 + i*t + v*t**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644086 is divided by 154?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 0*p)*(-4 + 4 + 3*p**2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:11 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1088) + 1 - -4*-2*(sqrt(425) - sqrt(17)))**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-11)*41250\/(-2250).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 93210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -24034590816\nAnswer: 24034590813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40732.\nAnswer: 2, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 16527?\nAnswer: 66108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*g + 370 + 1619, 4*f - g = 7851. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/41 - -12\/287. Let h = 0.21 + -3.21. Let y be 5\/(-12) - (-6)\/9. What is the third smallest value in h, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w)**45*w*w**(-4)\/w*w**(-3) assuming w is positive.\nAnswer: w**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 906904 (base 10) in base 11?\nAnswer: 56a409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 567 divide 2615331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b*o**3*t - 2*b*o**2*t - 405*b*o - 9*b*t - b + 2546*o**3*t wrt o.\nAnswer: 54*b*o*t - 4*b*t + 15276*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 267*a**8\/28 + a**5\/20 + a**4\/6 - 71*a**3 + 4*a - 73. Find the third derivative of c(w) wrt w.\nAnswer: 64080*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 - 4*d - 3. Suppose 2*c - c = 5. Give f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26532983 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 - (-1136)\/(-4). Let o = 3122\/11 + g. Which is the nearest to -1? (a) -0.06 (b) -1\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1646959 + 2823848. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 a factor of 194164546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 29*p - 3023. Give i(88).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467976.1 millimeters to nanometers.\nAnswer: 467976100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 0.07843871?\nAnswer: -0.32156129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1978*t**2. Let m(i) = -3*i**2 + 17*i. Let q(u) = 5*u**2 - 34*u. Let a(l) = -2*m(l) - q(l). Determine r(a(y)).\nAnswer: 1978*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j**2 + 35372 + 25*j**2 - 35372.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 + 3404745*s**4 + 5*s**3 + 9414*s**2 + 2647*s wrt s.\nAnswer: -240*s**3 + 81713880*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n + 37*n**2 - 1 + 14 - 7*n**2. Let j(q) = 15*q**2 + 5*q + 6. Let v(l) = -6*a(l) + 13*j(l). Find the second derivative of v(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.48 times -62355.06\nAnswer: 29930.4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i + 3. Let q(r) = -r + 1. Let p(s) = -h(s) - 2*q(s). Let f(j) = -3*j + 1. Calculate 9*f(x) + 2*p(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 24. Suppose 2*o = 3*k + 8, 2*o + 2*k = 3 + 5. Calculate the smallest common multiple of q(28) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -9, -49, -125, -249, -433, -689?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 10*q**5\/11 + 3549724*q**4\/11 + 315007122288*q**3\/11 - 1134077324800*q**2\/11 - 504031842304*q\/11 = 0.\nAnswer: -177488, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/14, 2, -6\/5, -1\/3?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-30)\/(-225)). Put -4, -22, o in decreasing order.\nAnswer: -4, o, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1888*b**2 - 7*b + 10. Let f be h(6). Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10 = -h, -5*h = -3*u - 9*h + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -8 - 8. Sort 0, -3, m in decreasing order.\nAnswer: 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.574 and -46.\nAnswer: 26.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2334 - -2335. What is the third smallest value in -5, o, 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8000831.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -508*x + 77669. Determine t(153).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -667 (c) 1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -547*y - 24. Let w(i) = -183*i - 7. Calculate 2*k(l) - 7*w(l).\nAnswer: 187*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-125)\/(-120) + -1). Suppose -504 = -225*a + g*a. What is the smallest common multiple of a and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 (base 3) in base 13?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-8)*480\/(-360)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3145\/2 - 1608. What is the common denominator of (-188)\/(-30) + (-5)\/5 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 192. Suppose -w = -0*m - 2*m. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 6 - 12 - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3.5.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Suppose -g = -1 + u. Let t(q) = -q**3 - 4*q**2 - 3*q - 3. Let w be t(g). Put -4, w, -5 in descending order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, c: 6, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v - 0*v + 56 + 152 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*v - 0*v + 10, -50 = -5*v + 5*i. Suppose -5*o + 238*t = 237*t - 107, 2*t = -o + 6. Solve 0 = v*g + o, 0*g - 12 = 2*l + 2*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-2) - (-31 + 36). What is the closest to -2\/3 in -5, x, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 120634*r. Let o(g) = 203*g**2. Determine b(o(w)).\nAnswer: 24488702*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 249369225 + 51435.86?\nAnswer: 249420660.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2*q**2 + 2*q**2 + 2*q**3) - 1 + 2*q**3 + 1 - 626*q**3 - 23*q**3 + 74*q**3.\nAnswer: -577*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 10) to base 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315\/18*(-30200)\/(-70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -12 + -1)*-1. Suppose 2*h - 8 - 6 = 0. What is the remainder when u - 0*(-1)\/4 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 160. Calculate the greatest common factor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -10*l - 3, 2*m - 11234 = 4*l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - w - 1. Let y be 3\/24*8 + 3. Let u be (-6)\/y*(-48)\/(-72). Determine b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lblb when four letters picked without replacement from lblbll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + 4 + (sqrt(125) + -2 - sqrt(125))*3)**2 + -1)*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -2411, 0.13 in increasing order.\nAnswer: -2411, 0.13, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 6*x. Find the second derivative of 3*z**3 - 8*z - 14*z**3 - 24 + 6*z + x wrt z.\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vvvjvvvvvvjjjjvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 = 2*h + 4*i, 5*h + 4*i - 35 = 0. Sort 4, -2, -5, h in decreasing order.\nAnswer: 4, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 2*y - 19*y)*(3*y - 3*y - 2*y)*(2 + 2 - 5).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*w, -3*g + 4727*w = 4732*w + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33790465\/133187082 + -4\/328047. Calculate the common denominator of k and -9\/1102.\nAnswer: 7714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-2)\/8 - 1. Let x be (n\/(-2))\/((-3)\/6). Sort 2, x, 5.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/3 + (-4)\/(-6). Let y = 6 + n. Let h be y\/27 + (-652)\/(-18). Solve -5*s = -4*i - h, -6*i + i - 16 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 121496\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -917860.6 + 917861. Let v = 0.3 - -0.7. Let a = 7 - 18. What is the biggest value in w, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 827411 to the nearest one thousand.\nAnswer: 827000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.008 - 0.008. Sort -5, -0.1, h, -0.3 in decreasing order.\nAnswer: h, -0.1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*z - 153*z = 215. Let a be (-2 + 1)*(-6)\/6 + -38. Let g = -22 - a. Calculate the remainder when z is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**3 + 17*a**2. Let u(s) = 5*s**3 - 4*s**2 - 6*s. Let y(w) = -14*w**3 + 11*w**2 + 17*w. Let t(l) = 17*u(l) + 6*y(l). Determine 6*c(r) + 51*t(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 64, 231, 558, 1099, 1908?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12571*m = -12576*m - 100 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*n + 13 = 0, 3*n - 11 + 2 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f - 56. Let d = f + 0. Suppose -473 + 113 = -15*r. What is the remainder when r is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 8, -35\/688, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**2. Let v(d) be the third derivative of -d**5\/5 - 55*d**2 + d. Determine v(p(m)).\nAnswer: -1728*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100676.3 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2268100 and 196100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Let c = 1 + 2. Solve c*m = -0*m - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - 3) + (22765\/80)\/29 and -1 - 1 - (-58)\/32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (3185\/(-40) - 6\/16). Suppose 100 = 3*o + l. Let n be o + -1 - 1197\/247. What is the smallest value in 3, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = 2. Let q be ((-2)\/3)\/(g\/6). Let w = 15 + -17. Put 1, w, q in increasing order.\nAnswer: w, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose -s*l + 3 = -1. Suppose -6*j + 32 = -l*j. What is the remainder when 14 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -26. Let l = 24 - f. Let d(k) = -4*k + 3. Let n be d(2). Do l and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620621 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(104) + 2*sqrt(104)*-2 + (sqrt(104) - -2*-2*sqrt(104)))\/((sqrt(64)\/sqrt(4))\/sqrt(2)*5))**2.\nAnswer: -24*sqrt(13)\/5 + 568\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 2, n: 1, w: 2, i: 4}. What is prob of sequence wie?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {b: 1, h: 2, f: 1, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33040 - 33040 + 721*f**2.\nAnswer: 721*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 157*t**2 + 42*t - 6607. Calculate a(157).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c5066 (base 14) in base 12?\nAnswer: 629302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Let b be u(1). Let a(v) = -v**2 - 6*v + 48. Let s be a(4). Suppose -s = -b*l - 2*l. Solve -l*x - 10 = -9*x, -3*x - 19 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5) + (-316)\/(-395). Is d less than 1\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 8. Let t be j(12). Let w be (4\/(-14))\/(8\/t). Sort w, 1, 3.\nAnswer: 1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 1. Let d be l(-1). Suppose -2*m = w - 13, -5*w = -5*m + 1 + 9. Solve m = d*g - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d + 0*d**3 + 0*d**4 + 1\/30*d**6 + 2 - 1\/30*d**5 - 20*d**2. Factor c(s).\nAnswer: 2*s**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7730 - 23188\/3. What is the nearest to 0.07 in t, 0.2, 23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 1, u: 11, f: 3}. Give prob of sequence fn.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t*t)\/t*t\/t**(-2\/11)*t*(t*(t\/((t\/t**1)\/t))\/t)\/t**(-2\/5) assuming t is positive.\nAnswer: t**(2873\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2804 + 2802. Put x, -3, 27, 0 in descending order.\nAnswer: 27, 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j + 149. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooogogooo. Give prob of sequence oo.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19941\/2 - -9971. Which is the second smallest value? (a) -2\/9 (b) t (c) 7\/4 (d) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808766582 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from {t: 7, d: 3, m: 2, x: 3, o: 3}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyryybbvbqyyykyqy. Give prob of sequence rby.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38128?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -142, -144, -146?\n\"Answer: -2*v - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*i = -m + 13, -3*i - 29 = -4*m. What are the prime factors of m\/(-1) + (-218)\/(-1)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1076, 1258, 494, -1216, -3872, -7474?\n\"Answer: -473*b**2 + 1601*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.7 - 6.37. What is u rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 24 = 4*o. Suppose o + 11 = -4*z. Let f = z - -5. Solve k + f = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.5, 16, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u. Let x(g) be the second derivative of g**5\/60 - 7*g**2 + 8*g. Let o(d) be the first derivative of x(d). Give z(o(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = l - 18, -4*l = 4*i - 2*i - 52. Let z be (800\/l)\/(-4)*-3. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675 and 412920?\nAnswer: 6193800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 3094300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -11. Let j(y) = -3*y**2 + y + 60. Let l be j(0). What is the highest common divisor of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c**2 - 330*c + 323. Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -0.7, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose 0 = -y - l, -9 = 2*d + 5*y - 0. Calculate the smallest common multiple of 22 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:22 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -21. Suppose -4*x - 145 + 589 = c. Suppose -4*y = 2*p - 148, -3*p - x = -3*y + p. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-16) - 2\/4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*t + 5*f, t - 31*f + 27*f + 8 = 0. Solve 5*l = -3*q - 2 + t, 0 = -l - 2*q - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y. Let z = -121 - -126. Let a(u) = -7*u. Determine z*q(b) - 4*a(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t - 32. What is p(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:47 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**6\/40 - r**5\/60 + 2*r**2. Let x be n(-2). What is the greatest common divisor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -11. Suppose l - 5*u + 3 = 1, l = f*u. Let z(t) = l*t + 7 - 7 - 5*t. Let x(d) = -4*d. Give z(x(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -282 in 7, 1\/2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:33 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/8 + 3\/6. Suppose 0 = -3*y - 2*y - 3*o + 32, -2*y = -s*o. Suppose 2*k = -3*t - 2*t + 1277, -y*k = -4*t - 2512. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 40. Let f be (-8)\/36 - (-176)\/(-18). Let h = f + m. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-77)\/(-105))\/11)\/((92\/40)\/23)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*t - 7 - 2 = 0, -4*t - 4 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14494 divided by 3?\nAnswer: -14494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 11*f + 12 = 0. Suppose -4*i + f*i - 151 = 3*n, 127 = 2*i + 5*n. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7095907 to the nearest integer?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96 times -2.97?\nAnswer: -2.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478*v**2 - 723*v?\nAnswer: 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 + 1342 = 165*b - 5449 - 2015 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60969457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -6 + -13 + -11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(288) + 0) - sqrt(1800)*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-10) + (-7)\/35. List the prime factors of (-39)\/c + (-1)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 262, 4, 1, 2, -4, 29 in increasing order.\nAnswer: -151, -4, 1, 2, 4, 29, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14093 + -2cc?\nAnswer: -14392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12509 + -12379. What is the greatest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 14) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -10*n - 24. Suppose 0 = -5*m - 2*v - 10, -5*v = 3*m + 16 + 9. Suppose 0 = 2*y - 6 - 4. Solve 3*g = 2*a - n, m = y*a + 4*g - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-2 - (1 + 12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*m + 4*l - 2218554, 4*m + 3*l - 1774845 = 0. Let f = m - 133709. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {m: 1, i: 1, v: 6, u: 6, j: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from {y: 3, h: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41022.8us in seconds?\nAnswer: 0.0410228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 + 16*y + 1. Let k be x(-3). Let q = 61 + -5. What is the highest common divisor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + (-238)\/(-21) - (-90388)\/6. Suppose 0 = -10*n + 41795 + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24476 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 16*o + 34. Let v be q(14). Solve -3*a - 9 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1885063 and 0.4.\nAnswer: -1885062.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 45*z**2 + 82*z**2 - 8 - 199*z**2 + 77*z**2 + 7.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**2*x**3 + 1524*p**2*x**2 + 3*p*x**3 + 6*p - 12277*x**3 - 2*x**2 wrt x?\nAnswer: -24*p**2 + 18*p - 73662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 53. Let t = 52 + -209\/4. Which is the second biggest value? (a) z (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyemyemmye. What is prob of sequence ye?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 18. Let k be y(-16). Let r(a) = 3*a**3 - 4*a**2 + 3*a - 2. What is the remainder when (1 + -3)*42\/(-4) is divided by r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9841 and 0.18.\nAnswer: 1771.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 90*l**2 - 13*l + 20. Let t(f) = -30*f**2 + 5*f - 6. Give -7*t(m) - 2*v(m).\nAnswer: 30*m**2 - 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 149, -4, 0.1, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 18*u**2 - 18*u - 1121. Determine l(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let m(r) = -5*r - 11. Let h(j) = j + 2. Suppose -16*u - 11 = -17*u. Let k(q) = u*h(q) + 2*m(q). Give -2*g(o) + 6*k(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 6*v - 1. Let a be p(-5). Let i = 5 - 6. Sort -2\/9, i, a in increasing order.\nAnswer: i, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -120, -154, -222, -336, -508, -750, -1074?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5\/6))\/d)\/d*d**(-38) assuming d is positive.\nAnswer: d**(-239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 28 - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otdozd. Give prob of picking 1 d and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 565, 802, 1133, 1558, 2077?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x. Let d(f) be the first derivative of f**4\/6 - 42*f - 40. Let g(c) be the first derivative of d(c). Calculate g(o(q)).\nAnswer: 800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 0.1 (c) -31\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715 divided by 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/3 (b) -0.4 (c) 0.2 (d) 17 (e) 3 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28115 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 40 = -2*b. Suppose 2*u = -0*u + 32. Calculate the least common multiple of u and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h. Let a(t) be the first derivative of 0*t + 2\/3*t**3 + 1 + h*t**2. Let i(r) = r. Determine a(i(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 15, -55, 8 in decreasing order.\nAnswer: 24, 15, 8, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - 2*t + 29*t**2 - 9*t**2 + 668 - 9*t**2 - 10*t**2.\nAnswer: t**2 - 2*t + 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3422, -151, -3, 75, 2 in increasing order.\nAnswer: -151, -3, 2, 75, 3422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let f(n) = 4*n**3 + 0 + n**p - 3*n**3 + 1. Let k(w) be the second derivative of w**5\/5 + 5*w**4\/12 + 5*w**2\/2 + 28*w. Calculate 10*f(y) - 2*k(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -199637, -199638, -199639, -199640, -199641, -199642?\n\"Answer: -r - 199636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 34. Let z be 616\/105 - 2\/g. Suppose 11*o - z*o - 170 = 0. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123214 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:31 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g + 14. Let z be p(-9). Find the first derivative of -3*x**4 - x**4 - 7*x**4 - z wrt x.\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -29*h - 4. Let g = -68 - -65. What is the units digit of k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -595b33 (base 16) to base 2.\nAnswer: -10110010101101100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/6375 and 29\/30?\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5130177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2261039312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000092291 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 51. Let m be k(-9). Suppose 5*y - 509 - 336 = m*w, 2*y = -4*w + 364. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 - 8\/((-32)\/60). Solve -3*b - 5*l - 10 = -3*l, 5*b - 10 = n*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1141, 1666, 2157, 2602?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/13 in -2\/9, -0.5, 0, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1981 - (2 - (-2 + 2)). Suppose 42*u - s = 41*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 + 0 = 0. Let n = 11 - r. Calculate the smallest common multiple of n and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w + 2. Let t be 3 - (3 - 4)*3. Suppose -t*v + 0*v = -12. List the prime factors of y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11340000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*c - 41762 = 2082*c + 928*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3571 - 3562. Solve -v*a - 125 = 16*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - z + 108. Give s(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6438541?\nAnswer: 173, 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17811 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936593?\nAnswer: 3, 107, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 2*j. Let n be 22\/14 - 16\/28. Let v(k) = 0 - 3*k**2 + 0*k**2 + 2*k**2 - n. What is -v(h) + y(h)?\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n - 6. Let r(w) = w**3 + 6*w**2 - 6*w + 14. Let c be r(-7). Let l be b(c). Suppose -8*j + l = -279. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v + 5. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coccjoujjoooococ. What is prob of picking 1 o, 1 u, and 1 c?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l**4\/12 + 15*l**3\/2 + 55*l**2 + 945*l. Determine o so that h(o) = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 28 - 10. Let n = o - 4. Factor n*i**3 + 0*i**5 - 3*i**5 - 3*i**3 + 2*i**2 - 2*i**5 - 8*i**4.\nAnswer: -i**2*(i + 1)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Let y(g) = -g**2 - 7*g - 12. Let j be y(-8). Let q be j\/(-12) - (-2)\/6. Calculate the greatest common factor of q and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -77, -115, -153?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -182554\/15055 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9508.752 millennia?\nAnswer: 950875.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113908494 by -6.\nAnswer: -18984749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 53373*i**2 + 10*i + 28. Let d be y(-2). What is d rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120778*f**2*m + 21*f**2 - f*m + 262*m + 290897 wrt f.\nAnswer: -241556*f*m + 42*f - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t**2 - 51*t**2 + 5*t**3 - 49*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*v**3 - 760*v**2 - 159*v + 17078283?\nAnswer: 18*v**2 - 1520*v - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + 18\/(-18)*0\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 23 = 58. Suppose -l*m = -2*v - 16357, 4*m + 0*m - 13085 = v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*c - 793, 2*c = 5*s + c + 1994. Let w = s + 397. Let b(k) = 5 + 0*k**3 - 11*k - 16 - k**3. Let q(u) = u + 1. Calculate w*b(h) - 22*q(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93690)\/14574*14\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6482 - 3675. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-5) + 2\/(-2). Suppose 2*i - 4*i = -4*t + 10, -z*i - 9 = -3*t. Suppose 0 = 2*v - 6, -2*k + 1 = t*k - 5*v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 - 691*k**3 + 174*k**2 - 9 wrt k.\nAnswer: 24*k - 4146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x - x**2 - 47*x**2 + 4*x**2 - 27*x.\nAnswer: -44*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 13*r + 4*z - 2121 + 2119 = 0, -6 = 4*r + z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 5. Let c(s) be the third derivative of -s**6\/120 - 7*s**5\/60 - s**4\/3 - 4*s**3\/3 + s**2. Let l be c(-6). Give y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/5))**(9\/7)*g**(-20\/11)*g*g\/g**(-2\/11) assuming g is positive.\nAnswer: g**(-652\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -1, -3.\nAnswer: -65, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1764984*f*i**2 - 4*f*i - f + 2*i - 168 wrt i.\nAnswer: -3529968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, -4*l = -j - 4 - 4. Let u be -25*l\/2*-1. Solve 4*q + q = u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307954.659 less than 0.0154?\nAnswer: 307954.6744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 6. Let c be d(-11). What is the closest to 0 in c, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -393, -331, -267?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 - (-7 + 9) - (611 - 616)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 108809 and 101989 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410430012 (base 5) to base 10.\nAnswer: -1655007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 1\/4*h**5 - 10\/3*h**3 + 10*h**2 - 1\/24*h**6 - 23*h - 37 + 0*h**4. Let f(z) be the first derivative of k(z). Factor f(s).\nAnswer: -5*(s - 2)**3*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178.64 - 3.46. Round j to the nearest integer.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*n*p**2 + 3*n*p - 1191*n - p**2 wrt p?\nAnswer: -88*n*p + 3*n - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/7 (c) -1\/2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*z**5 - 61*z**2 + 4*z**5 + 43*z**5 wrt z?\nAnswer: 1680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1777015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 4, 219.\nAnswer: -6, 1, 4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 3. Let r(i) = i + 5. Let u(k) = 4*r(k) - 3*z(k). Let s be u(-7). Solve s*n - n - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104316679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 155 - 8)*(-2 - 3 + 3)*(0 + 0 + 2*z)*(-5*z + 7*z - 9*z) as t + x*z + u*z**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 90*y + 78. Let g(o) = 2*o**2 - 3*o - 1. Let b(r) = -4*g(r) - t(r). Let x be b(-38). Solve -4*n - 4*l = -4, -5*l + 2 - 4 = -x*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3739 - -3738.7839. Round w to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.05 + 223.55. What is the fifth biggest value in -1\/3, -1\/2, -13, 1\/3, q?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 5}. What is prob of picking 2 v and 2 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 204.5\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppffpwcpjppfpppff.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 96455 = 5*c, -5*m + 7*c - 2*c - 96435 = 0. Round m to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - l**2 + 0*l + (-l - l + 0*l)*(5*l - 4*l + l) + 2*l**2 - 4 + 4 + 2*l + 6 - 6*l**2 - 9 + 2 in the form b*l**2 + q + k*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81012 less than 0?\nAnswer: -81012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -23. Let t = -18 + y. Let v = t + 8.0000024. Round v to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 0. Solve -b - 14 = -0*a + 3*a, 4*b - a + 4 = p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -418092.3 to the nearest one thousand.\nAnswer: -418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10360 = -17*p. Is 35 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 144*d + 142*d + 12 = 0, -4*d + 6 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1677180*h**2 + 226*h - 4659.\nAnswer: -3354360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -21. Suppose 0 = p - 0*p - q + 2, 3*q = -v*p - 24. Let l(a) = 3*a - 5. Let z(i) = -5*i + 8. Determine p*z(j) - 8*l(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18889782699 - 48.\nAnswer: -18889782747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.11 + 9.11. What is the fourth biggest value in -2, -1\/5, 6, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/110880 - m**7\/6930 - m**6\/1320 - m**5\/6 + 11*m**2. Let v(a) be the third derivative of q(a). Factor v(x).\nAnswer: -2*(x + 1)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/4 - 3*a**3\/2 - 36*a**2 - 189*a\/2 - 243\/4 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -234 (b) 2 (c) -5 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*l**6 - 2922295*l**4 + l**3 - 17856*l**2 - l - 597.\nAnswer: 8760*l**3 - 70135080*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 4*q - 11. Let a(v) = -5*v**2 + 9*v + 21. Let z(d) = -4*a(d) - 7*k(d). Let h be z(-3). Calculate the highest common divisor of h and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (318\/(-24) + 12)*18\/(-1215)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - k + 9 = 0. Let d be k*8 + 7\/(-7). Let x(t) = -t**3 + 5*t**2 + 6*t + 5. Let b be x(6). Put b, 0, d in descending order.\nAnswer: b, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 51. Let k(t) = -5*t**4 + 31*t + 2. Let d(p) = -p**4 + p - 1. Let i(l) = o*d(l) + k(l). Find the second derivative of i(j) wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878939500 rounded to the nearest 1000000?\nAnswer: 879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.048 - 0.0481195. Round f to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(-5 + (sqrt(162) - (sqrt(162) + (sqrt(162) - (0 + -1*sqrt(162)))))*3))**2.\nAnswer: -158139 - 14580*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 258?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-9)\/(-4) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 24 = -4*s. Let l be s\/10 + (-44)\/(-55). Suppose l*t = 15, 3*f = 2*t + 8 + 15. Calculate the smallest common multiple of 1 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9292.82 + -9183. Let w = -107 + n. What is w rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97042 and 15246?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -410*j - 6155. Determine r(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7890)\/1900 - -4)\/(1 + 109\/(-15)) and 25\/11.\nAnswer: 39292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 18*w**2 + 62*w + 769. Let i be t(-17). Factor -12*z + 0 - 1\/3*z**3 - i*z**2.\nAnswer: -z*(z + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 x when three letters picked without replacement from {u: 1, t: 1, m: 1, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*q = q - 302, -4*x - 2*q + 250 = 0. Suppose x = 4*d - 99. What is the highest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2278, -306, -4, 0, 1, 4 in decreasing order.\nAnswer: 4, 1, 0, -3, -4, -306, -2278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 38*b**2 + 79*b**2 - 2*b - 37*b**2 + (-4*b + 4*b - 3*b)*(-15*b - 127 + 127).\nAnswer: 49*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 5*q**3 + 0*q**3)*(-2 - 2 - 1) - q**3 - q**3 + 0*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3946944*a*l**2*z**2 + 2*a*l**2 + 2167*a*l + 3*a + l**3*z**2 + 59*l**3*z - l**3 wrt z.\nAnswer: 7893888*a*l**2 + 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 23 - 2)*(-r - r + 0*r).\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -9, 0.4, 4, 32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*j + 6, 4*r + 5*j + 143 = 88 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/(-403) + (-441)\/(-585). Put -11, 0.1, 3, a in ascending order.\nAnswer: -11, 0.1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2115c (base 16) in base 5?\nAnswer: -13314031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137307 + 28750. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/9 - 6584*u\/9 + 46382\/3 = 0.\nAnswer: -3313, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(-1 - 15\/(-9)). Let h = f + 1. Suppose h*t = 2*t - 4*a + 71, 2*t - a - 18 = 0. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 319412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/89, -4\/5, -2\/7 in ascending order.\nAnswer: -4\/5, -2\/7, 2\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/2 + 47122910*c - 94245815\/2.\nAnswer: -5*(c - 18849163)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*p**4 + 30*p**2 + 251*p - 8325080?\nAnswer: -456*p**3 + 60*p + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - -56) + -119 + -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26104538 or 26104537?\nAnswer: 26104538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -705, -5717, -19321, -45813, -89489, -154645?\n\"Answer: -716*u**3 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 - 4 - (7 - 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -833020 - -832267.306. Let u = -18.08 + -733.92. Let b = u - d. What is b rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -22*s + 50. Calculate the remainder when 32 is divided by (-15)\/(-5) + s + (-3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -230 and -0.04?\nAnswer: 229.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(1 + sqrt(208))**2.\nAnswer: 96*sqrt(13) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140949.\nAnswer: 1140949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*s - 77 = 319*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*r**2 + 3)*(-10 + 3 - 2) - 70 + 34 - 2*r + 7*r**2 + 42 in the form d*r + x*r**2 + f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 3. Calculate v(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*518402\nAnswer: -20736.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25576 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 2, b: 12}. What is prob of picking 4 b?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(10\/(-4)*(-3)\/(-15)). Let q = -5 + 7. Calculate the highest common divisor of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 + 6. Suppose 2*h + 2*h = 44. Suppose 0 = 3*c - h - 4. Let s(y) = 6*y**2 + 5. Let q(m) = c*k(m) - 6*s(m). Let p(d) = -d**2. Determine q(p(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**3 + 5*p**2 + 4*p. Give b(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 136 = 1. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-44) + 3454\/8 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - 3*x**2 + 5*x**2)*(372*x**2 - 71*x**2 + 739*x**2)*(-3 - 2 + 4) in the form z + m*x + s*x**4 + o*x**3 + f*x**2 and give s.\nAnswer: -5200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189097 + 2*g**2 + 189097.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.54 rounded to 0 dps?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/27 and 49\/7657645?\nAnswer: 206756415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 100011?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:49 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -954*c**3 + 9*c**2 + 11*c. List the prime factors of w(-2).\nAnswer: 2, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.87? (a) -0.5 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 543? (a) 3 (b) 0.5 (c) 12 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3736 + 51 = 110*k + 1815 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.23, -2, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q = 5*q - 212. Solve 1 = 4*w - 5*s, -w + q*s + 3 = -0*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 4, j: 1}. Give prob of picking 1 p, 1 j, and 2 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 10*p**3 + 129361*p - 258723*p + 79 + 129362*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (13 + 20)) + (325 - 221).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2172 and 3.\nAnswer: -2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395 = -29*j + 34*j. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -49419.\nAnswer: 4\/16473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*l**2 - 2\/9*l + 2\/9*l**3 + 8\/3.\nAnswer: 2*(l - 12)*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Let i be (o + -28)*(-1)\/2. Calculate the highest common divisor of i and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.253, 9, 4\/7?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(52) + 5)**2 + (sqrt(143) - (sqrt(143) + -1*sqrt(143) + sqrt(143))*4)\/sqrt(11).\nAnswer: 17*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1506945 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2480, -5011, -7584, -10217, -12928?\n\"Answer: -3*q**3 - 3*q**2 - 2501*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 280. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d = -297 + 1221. Suppose 2*m + 12 - 138 = 0. Calculate the remainder when m is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - 8. Let p(z) = -56*z**2. Give p(x(b)).\nAnswer: -896*b**4 + 3584*b**2 - 3584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -628*r**4 - r**3 - 3764*r**2 - 306127*r + 121 wrt r?\nAnswer: -7536*r**2 - 6*r - 7528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81\/5 - 89\/5. Let y(f) = -f**2 - 5*f + 4. Let w be y(-6). Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 3 - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s + 0*s)*(18419 + 10912 - 838 - 1437) in the form b*s + n and give b.\nAnswer: -27056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -44409?\nAnswer: -133227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1192\/(-2) - (19 - 15). Let o be (c\/140)\/((-6)\/28). Solve 3*u - u = 3*j + o, j + 3*u = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -829*y**2 - 13*y + 10 - 12 + 24 + 830*y**2.\nAnswer: (y - 11)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775, -3123, -7023, -12463, -19431?\nAnswer: -27915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/17, -2\/11, 3\/7 in descending order.\nAnswer: 8, 3\/7, -2\/17, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4 - -5) - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 1311508\/(-77)) + (-15)\/(-35).\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 817 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -24. What are the prime factors of 2 - (b + 3) - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*z + 830, 0 = -0*z - 5*z - 4*q - 805. Let y be -1 - (z\/(-22) - 9). Factor -2*d**3 - 1\/2 - y*d**4 - 2*d - 3*d**2.\nAnswer: -(d + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x. Let g(n) = n**2 + 6*n. Suppose -27*m = -35*m - 24. Let v be (-6 - -7)*(8 + m). What is v*l(b) + 3*g(b)?\nAnswer: -2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12 - 18 - 3 - 21 - 8 - 18*r. What is the remainder when 27 is divided by m(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 - 3. Suppose 2*x - x - 4 = 2*h, 0 = 4*x + h - 34. Let l(n) = 3*n**3 + 6*n**2 + 8. Let j(t) = x*y(t) + 3*l(t). Factor j(a).\nAnswer: a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 14.3 (b) 1.2 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:45 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3887208*g**2 - 130106.\nAnswer: 7774416*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-1 + sqrt(252))*6 + -5 + 3.\nAnswer: -3 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 30*a - 261*a - 12*a**2 + 4 + 25*a**2 - 11*a**2 in the form n*a + q*a**2 + w and give n.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88255323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 11. Let p be m(0). Suppose p*a - 9*a = 814. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-305)\/183)\/(15\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 3. Let g be (4\/(-1) - -1) + 2. What are the prime factors of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from brurb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g - 20*g + 65398. What are the prime factors of g?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + 38. Let s be ((-2)\/6)\/(-1*9\/w). Solve s*y - 5*y = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*y - 44 - 64, 2*y - 116 = 2*u. Calculate the lowest common multiple of y and (5 - 1)*6\/4.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5157.54 minutes to days.\nAnswer: 3.581625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -5*d**8\/336 - 19*d**7\/42 - 3*d**6\/4 + 1282*d**2. Factor i(r).\nAnswer: -5*r**3*(r + 1)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-36)*18\/15. Suppose 5*g - 47 = -v*o + 35, 3*o = 4*g - 78. What is the greatest common divisor of 126 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -12121111210?\nAnswer: -12121111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 22809540 - 22808830 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m. Let r(y) be the second derivative of -y**4\/4 - y**3\/3 + y**2 + 5*y. Let l(k) = -4*k**2 - 3*k + 3. Let b(j) = 2*l(j) - 3*r(j). What is b(d(o))?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/10*14\/(-21)*-10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -1. Let i = 1.5033 + 1.4967. Let u = 862 - 33616\/39. What is the closest to 2\/7 in u, l, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38751715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 2*a + 859 + 47 - 44 + 891 in the form g*a + f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.290682?\nAnswer: 2.325456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 t when four letters picked without replacement from {z: 3, t: 3, u: 8, m: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431 is divided by 173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3 - (5 + 14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z - 8, 14 = f + 4*z. Suppose 0 = -3*t + 3*a + a + 82, -4*t = -f*a - 116. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/25092*-323*-54\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12017 + 12007. Sort y, 183, 2 in descending order.\nAnswer: 183, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.0012132853882?\nAnswer: -2.9987867146118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5556084033 to the power of 1\/3, to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230 - -5753\/25. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/3 (b) 1 (c) 0.2 (d) 0.0261\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0322, -1\/102, -2\/5?\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cay when three letters picked without replacement from avvyvfc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 42 = -2*v + 5*v, 70 = -5*v - 3*j. Let l be (132\/198)\/(v\/(-30)). Factor l*c**3 + 2\/7*c**4 + 8\/7*c + 0 + 16\/7*c**2.\nAnswer: 2*c*(c + 1)*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11979138 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f - 1. Let n(d) = 7*d. Determine -5*n(z) + 4*t(z).\nAnswer: -3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -9. Let h be ((0 - -18)\/(-9))\/((-2)\/38). Suppose 3*f + 5*c - 25 = 0, -28 + h = 5*c. Solve f*r + 2 = -w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**3 + 4*s + 5. Let w(x) = -23*x**3 - 11*x - 14. Let p(h) = 11*i(h) + 4*w(h). Differentiate p(l) with respect to l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.6899233?\nAnswer: -0.27596932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 23 = a. Let l = a + -57. Suppose -37608*m + 57 = -37612*m - 63. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 29. Determine d(15).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - h - 8, -2*h = -6*h + 16. Calculate the remainder when 106 is divided by (108\/(-72))\/(f\/(-188)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 + 0*q**2 + 55*q + 1\/30*q**6 - 4*q**3 - 11\/6*q**4 + 3\/20*q**5. Factor x(w).\nAnswer: w*(w - 4)*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 7, -0.1, -1\/2, -1, -61\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + 5*sqrt(216))\/sqrt(9) + (sqrt(600) - (sqrt(600) + sqrt(600)*5)))\/(2*(sqrt(64) - -1*(-5*sqrt(64) + sqrt(64)) - sqrt(64))\/sqrt(8)).\nAnswer: 19*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4\/2 + 269*l**3\/2 + 2487*l**2\/2 - 3309*l\/2 - 2765 = 0.\nAnswer: -79, -35\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -15. Find the common denominator of 204\/(-15) + 8 + l and 51\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*11\/(-42)*(-314460)\/(-87350).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -44. Suppose 0 = -5*b - 20, 0 = o*u - u + 3*b + 4. Solve -4 = -3*t + u*y, -2*t + 3*y + y = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*x**2 - x + 1164 wrt x?\nAnswer: -46*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/6)\/(444\/4144). What is the highest common divisor of 222 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, -0.821, -0.2 in descending order.\nAnswer: 4, -0.2, -2\/7, -0.821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5.9. Let d = 3.9538 + 0.0462. Sort d, 0.1, z, -3\/2 in ascending order.\nAnswer: -3\/2, z, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2605 = 4*b + 9372, 3*b = 3*s - 4062. Let u = s + -236. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkeaekifekifvv. What is prob of picking 1 i, 1 a, and 2 k?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588722 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g + 3. Let i(b) = -b**3 - 12*b**2 + 2*b + 8. Let y be i(-12). Let k = y + 10. Is v(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 7*p**2 - 10*p - 8. Calculate the least common multiple of s(-4) and ((-5)\/1*1 - -6)*36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783547 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.045047912.\nAnswer: 0.022523956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3\/2 - 11*u. Solve f(a) = 0 for a.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((sqrt(343) + (sqrt(343) - ((sqrt(343) - (-1 + sqrt(343)))**2 + sqrt(343))) - sqrt(343)) + sqrt(343) + -5 + sqrt(343)) + 2.\nAnswer: -46 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 22*m + w = 944, 0 = 3*m - 2*w - 1423. What are the prime factors of m?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*q - 58, 0 = -2*p - 36*q + 37*q + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 4*f + 21)*(-2 + 0 + 0)*(-3*f + 6*f - 4*f) - 30 + 21*f**2 + 30.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9886\/16493 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1152\/(-90) - (-704)\/605.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57231703 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 + 2*k**4 - k**4)*(-2*k - 1 + 1 + (-3*k - 3*k + 5*k)*(-2 - 2 + 5) + 7 - 2*k - 7).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1692278 + -21999538\/13. Suppose 152\/13*s + a*s**2 - 10\/13*s**4 - 14\/13*s**3 + 48\/13 = 0. Calculate s.\nAnswer: -2, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-27))\/(40\/(-20)). Let y = -250 + 1742\/7. Let h be 8\/16 + 5\/2. Which is the third biggest value? (a) m (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -2 + -2 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13029 and 14241.\nAnswer: 612363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 7, -29, -1, -10 in increasing order.\nAnswer: -54, -29, -10, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 0.06, 3, -0.1, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327\/4 - 38869\/476. Let y = 11530\/11 + -1764893\/1683. Calculate the common denominator of c and y.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 781 = 2*a, 2*a - 247 = -3*i + 2*i. Let m = i + -1281\/5. Let h = -9 - -6. What is the nearest to h in m, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3 + 332*p**2 - 4*p - 332 = 0.\nAnswer: -83, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5844*b + 6. Let w be f(-1). Suppose 0 = r - 3485 - w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (6 + 1)*1. Let q(t) = 212 - 4*t - 126 - 114 + 3*t**2. List the prime factors of q(l).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 2*i**2 + 5*i - 6*i)*(-1 + 0 + 4)*(6*i - 2*i - 11*i) as w*i**2 + g*i**3 + j*i + y and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from jtxkjhkkjjhjhkjj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 483, 999, 1515?\n\"Answer: 516*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44.354 in 0, -3\/2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/(-12)*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6)\/((-125)\/(-850))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 25, -2\/47413 in ascending order.\nAnswer: -1\/3, -2\/47413, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**2\/2 + 3*i. Let a(v) = -v**2 - v - 6. Let j = 17 + -11. Let k(w) = j*x(w) + a(w). Factor k(y).\nAnswer: -y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 99*f. Let o(y) = -4*y + 9*y - 14*y + 9*y + 2*y**2. What is s(o(r))?\nAnswer: 8*r**4 + 198*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 115925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 0*v**2 - v**2 + 3971*v**3.\nAnswer: 3971*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*u - u. Let i = -23 + u. Suppose 3*k = -k + i. Solve 0 = r - 2*r - c + 2, 16 = 2*r - k*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 55 + 42*y**3 - 52 - 38 - 43*y**3.\nAnswer: -y**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgghvmgggmcvyvhmhv. What is prob of picking 1 v and 1 g?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let w(i) be the second derivative of 209*i**3\/6 - 175*i. Calculate w(s(q)).\nAnswer: -627*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2286.34 times 0.1\nAnswer: 228.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:51 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 5b?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12283 - -133?\nAnswer: 12426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1, 0.4, 0.5, -7.06, -6, 0.3?\nAnswer: -7.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1203284 by -2.\nAnswer: -601642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1942427.\nAnswer: 19, 102233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 20773 + 20773.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 132 = 3*o + 49, 2*x - 172 = -4*o. Let k(u) = -13*u - 32*u + x*u - 25*u. Calculate k(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129, -304, -571, -972, -1549, -2344, -3399, -4756?\n\"Answer: -7*f**3 - 4*f**2 - 114*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/(2\/10)*6\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0843 from -10.09.\nAnswer: -10.1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7086*z - 13886. What is k(-2)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 667 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 2, -8, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3128*d**2 - 3038*d - 1 wrt d?\nAnswer: -6256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.19 + -24. Let m = 2.29 - s. What is the closest to 0.2 in m, 1, -4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18. Which is smaller: l or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -220164, -439752, -659342, -878934, -1098528, -1318124, -1537722?\n\"Answer: -r**2 - 219585*r - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2203591.\nAnswer: 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 6*t**2 + 4*t + 7. Let i be x(4). Let m = 55 - i. Which is the biggest value? (a) -0.2 (b) -0.23 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10889910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4114986.\nAnswer: 411498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 2:18 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k + 11. Let q be u(8). Suppose m + 2*r - 4*r = 0, 3*m + q*r = 0. What is the least common multiple of 22 and (3 + m)\/(3\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**3 + 5588*b - 12. Let g(o) = 54*o**3 - 22351*o + 50. Determine -6*g(p) - 25*m(p).\nAnswer: p**3 - 5594*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1525*-2.17\nAnswer: 0.330925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 8, s: 2, a: 1}. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37947 divided by 2919\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 898.416 + -999. Let k = 100 + w. Let g = k + -0.146. Round g to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 84*y - 325. Calculate the remainder when 537 is divided by p(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15*o + 17*o + 13*o - 44*o + 3*o**2 as r + j*o + p*o**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/53)\/o*o**(-16)\/o*o*(o**1)**(-4\/15))**(-3\/2) assuming o is positive.\nAnswer: o**(13757\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 2a03f?\nAnswer: -2a036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70367 - -70366.999960303. Round r to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 54112?\nAnswer: 54112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 39. Solve h*o - m = -3, -4*o + 4*m - 1 = 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + -1 + -1*sqrt(125) + 5)**2.\nAnswer: -10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5476 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964838 is divided by 2865?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15085 + 2157173\/143. What is the common denominator of 41\/130 and c?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119534399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*b, 60 = 236*f - 235*f + 3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10dc29 (base 14) in base 10?\nAnswer: 575885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 2 + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 2, x: 1, j: 1, t: 6, z: 2}. What is prob of picking 1 g and 2 t?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/5, -5, 50\/21, -16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(sqrt(288) - ((4*(sqrt(288) + 1 + sqrt(288)))**2 + sqrt(288))) + 5 + (sqrt(288)*-2*-1 - sqrt(288)) + (sqrt(288) - 6*(1 + sqrt(288)))**2).\nAnswer: -375510 - 18216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 739.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -222225310?\nAnswer: 222225313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -705, 0, -4, 4, 16.\nAnswer: -705, -4, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, 2\/7, 1799, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 121*l**2 + 33*l - 54. Calculate p(-40).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453544?\nAnswer: 2, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.09. Let l = 0.1 - s. Let d = -0.04 + l. Which is smaller: d or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 3217 + 247. What is the highest common factor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52437911 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5 + 30411*x**4 - 231252840*x**3 + 693484844*x**2 + 121632*x - 924646464 = 0?\nAnswer: -1, 2, 15204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -7.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(-17 + 198*m - 9 + 26) as h + a*m and give a.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1455705 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -226. Suppose -4*y - g + 1789 = 0, 2*g - 1343 = -x*y - y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*n - 6, -w - 5*n - 2 = -10. Let m(x) = -7*x - 12*x + 17*x + x**w + 1. Let j be m(1). Solve j = -z - 4 - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 743557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-45 - (-15 - (-5 - -4)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 greater than or equal to 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:23 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 705*u**3 - 1566*u**3 + u + 363*u**2 + 858*u**3 - 2 to the form i*u + c*u**3 + j + q*u**2 and give q.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.164? (a) -0.2 (b) 7 (c) -1\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 8*y = -8. Solve 11*d = y*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21837 or 21876?\nAnswer: 21876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220331 (base 4) to base 7.\nAnswer: -142202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -259154 times 3?\nAnswer: -777462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179989 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p**3 - 27*p**2 + 27*p**2)*(-29 + 37 - 17 + 6*p) to k*p + l + c*p**2 + z*p**3 + n*p**4 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4085288*m**2*s**6 + 95*m**2*s**2 + 3533*m**2 wrt s.\nAnswer: -490234560*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4760 + 4759.9997763. Round n to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -41. Suppose 5*y - 32 = y. Let w(q) = -8*q + 2 + y*q + h*q**2 + q**2. Give w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 8*b - 1530. Is b a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(2 - 390\/192).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7 - 2 + 3*q**2 - 2*q**2 - 6*q. Let n be 30\/40 + (-3)\/(-12) - -9. Is 8 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 13 = -3*l. Let k(y) = -2*y + 3. Let m be k(l). Let h(s) = -6*s + 4. Let z(v) = -6*v + 3. Let p(o) = m*z(o) + 4*h(o). Differentiate p(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, 116, 367, 718, 1169, 1720?\n\"Answer: 50*k**2 + k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y + 1645. What is the lowest common multiple of 20 and z(-33)?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1013*x + 4201. Let k be t(4). Solve -9*z - 212 + k = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3240*z + 1421*z + 1164*z as s + d*z and give d.\nAnswer: 5825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196963 is divided by 97094?\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*f + 48 = -0*o, 4*f = 8. Let d be (6\/o)\/((-1)\/(-6)). Solve d*m = 5*w + 6*m + 13, 9 = -3*w - 3*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81371.2 litres?\nAnswer: 81371200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*n = -538, s = -0*s + 4*n - 98. Let x be s\/(-10) - (2 - 1). Let h = -46\/5 + x. Is h greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282215779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 12, -11, -54, -123, -224, -363?\n\"Answer: -z**3 - z**2 + z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = 74 - 382. Sort k, -6, 2.\nAnswer: -6, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1322*a**3 + 50*a**2 - 24*a**2 - 26*a**2 - 410*a**3.\nAnswer: -1732*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - w - 8, -w + 845 = -o + 805 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 6*y + 5*y)*(3*y + 4*y**2 - 3*y) + 2*y**3 - y**3 - 3*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 539457212 and 0.06.\nAnswer: 539457212.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/9, -0.1, 4, -0.2, 1\/4?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 15 = -13*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -18. What is the third biggest value in d, 0.1, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 316589?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -159.\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.3 * -20.19.\nAnswer: 349.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let w be (2\/q)\/(6\/27). Suppose w*j = -j + 32. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 5*u + 35. What is the tens digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201794429?\nAnswer: 201794429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 370213936 divided by 46276742\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a + 293. Let d be z(-42). Let x be (1\/(2 - -4))\/1. What is the second smallest value in 3\/7, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1468*k - 1296. Let f be x(-40). Round f to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = 4*j + 37, 0 = y + 5*j + 16. Which is the nearest to -0.2? (a) 1\/5 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-10))\/(20\/(-25)) + (-110)\/(-44). Suppose 0*i - 10 = -5*i + 3*l, 5*l = 0. Solve -4*k = i*n + 8, -k = -f*n - 11 + 31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.97. Let u = 1 - 1. Let j = u + n. Are j and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-63)\/(-36))\/(1\/(-4)). Let q = w + 7. Round q to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -8*d + 1301. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**5 + 125*g**4 - 75*g**3 - 425*g**2 - 210*g = 0 for g.\nAnswer: -1, -2\/3, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488587.\nAnswer: 11, 44417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 287\/(-9)*(-18)\/12. Let v be (-28 - 2)*48\/(-30). Let u = v - q. Which is the third biggest value? (a) u (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 0.073, 1, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*4\/6. Let q be (0 - g)\/((-1)\/(-2)). What is the second derivative of d + d - d + q*d**5 wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50879\/835 + -78\/167. Let x = -61 - f. Is x greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 13856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6 - 7, 3*c + 2*r = 1594. Let y = 1600 - c. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 + 2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -626 + 325. Let v = m + 314. Calculate the greatest common divisor of v and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j**3 - 2 + 1 - 3 - 4*j**2 - 4*j - 22*j**3. Calculate d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(150) + (2 + sqrt(20) - sqrt(5)))**2*-6.\nAnswer: -336\/5 - 144*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -171523.449 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1057 - 1051. Solve a*w = -0*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 215*g - 2508. Calculate s(-93).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/60*11\/((-88)\/(-32)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from {b: 17, m: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -95.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 8\/7 (c) -4 (d) 3\/8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/33 (b) -5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 269*p + 289. Let u be s(-1). Calculate the highest common divisor of 2950 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2090900350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43259915?\nAnswer: 5, 149, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.6 - 39. Let p = 0.2 + 1.6. Let g = p + z. Which is the smallest value? (a) -4 (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 3*w + 2. Let z be m(-2). Let c be -7 - (-2 - (2 + -4)). Let o = z - c. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 103*w + 8*w - 10266 = 0. Are w and -262\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = 2*i. Let u = 3 - i. Suppose u = 3*q - 8 - 13. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2.5. Let l = d - 0.5. Let q = -0.2 + 1.2. What is the closest to 0.1 in q, l, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 9*m + 16. Let j be a(-7). Let z = -655\/4 + 164. Solve 1 + 0*q - z*q**j = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < 1599\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**3 + 45*l**2 - 12*l. Let j(v) = v**3 + v**2 + 3*v + 1. Determine 4*j(a) + x(a).\nAnswer: -2*a**3 + 49*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 62*a**2 + 54*a + 186. Let j be o(30). Let c(x) = -x. Let s(g) = 4*g**2 - 9*g. Determine j*c(f) - s(f).\nAnswer: -4*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-4 - 75\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 3*o**2\/2 + 2*o - 3. Let p(s) = -s - 1. Let k = 111 - 23. Suppose 8*a - 30*a + k = 0. What is a*p(d) + l(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 584 and 32?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**3 + 1\/480*r**6 + 1\/24*r**4 + r**2 + 0 + 3*r + 1\/60*r**5. Let s(k) be the first derivative of y(k). Factor s(p).\nAnswer: p*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.2 - -1.8. Let y = q - 10.02. What is y rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114407\/6414 + -4\/1069. Calculate the common denominator of 2 + 2 + (-477)\/(-18) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7932172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 9*f**2 + 20*f + 55. Let r be k(11). Calculate the greatest common divisor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 7.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.072 + -155.1.\nAnswer: -155.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-527442)\/10342)\/((12\/8)\/(1\/(-2))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 34*x - 776. What is k(24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o**3 + 4*o**2 + 10*o + 7. Let q be y(4). Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 11*z + 10*z - 9 = 0, 3*z + 12 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 33 = 3*n, -14*z - 35 = -5*n - 19*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -23*x + 6. Let n be t(-9). Let k = n - 2772\/13. Sort 4, k, 2\/7 in increasing order.\nAnswer: k, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s**5\/3 - 4981096*s**4\/3 + 11954690*s**3\/3 + 996200*s**2\/3 - 11954680*s\/3 + 3984896\/3 = 0. Calculate s.\nAnswer: -498112, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:56 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h - 2. Let b be u(4). Suppose -b = 4*k - 2. Calculate the common denominator of -137\/6 and (-1)\/1 - (-15)\/k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -30.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 3. Let w be c(3). Let r(y) be the first derivative of -4*y**2 + y + 2. Is r(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 11 = -5*c + 2*q, -4*c + 18 = 3*q. Solve -d - 53*f + 1 = -55*f, -1 = 2*d - c*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03698 + -0.96302. Sort 12, k, -1.3.\nAnswer: -1.3, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and -1\/258073 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t = 35*t - 4964. What is the remainder when 313 is divided by t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48715 + 2509*z - 48715 - 2507*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 411279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m**2 - 8*m**2 + 5*m**2 + 20 + m**2 - 3*m**2 as f*m + u + k*m**2 and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286.94 - 287. Let u = -29 + 28.56. Let c = z + u. What is the smallest value in c, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 24*i**2 - 5*i + 68. Calculate b(24).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/v*v)\/(v*v\/((v**(-1)\/v)\/v)))**(-1\/5)*((v*v**(6\/7)\/v)\/v**(-1))\/(v*v**(-3)*v**(-2\/3)) assuming v is positive.\nAnswer: v**(454\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 - 4350*r**3 + 34672*r**2 = 0. Calculate r.\nAnswer: 0, 8, 2167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**(-1\/2)*m**(-1\/5)\/(m**(-5)*m) assuming m is positive.\nAnswer: m**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*x**2 + a*x + 7*a + 85935*x**3 + 10*x - 77 wrt x.\nAnswer: 4*a + 515610*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*c - 3*b = 425*c + 32, -22 = -5*c + b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 17*j**2 - 9*j + 31. Is z(-10) 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 11314?\nAnswer: 2, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (9 - 9) + -2 + 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lahhzbnbnnhabablnban. What is prob of sequence za?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 154*u + 343. What is the hundreds digit of j(-51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j + 7. Let n(u) be the first derivative of 4*u**2 - 3*u - 871. What is 6*h(y) + 14*n(y)?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)\/((-2)\/(-22)). Let n be ((-34)\/v - -3)\/1. Which is the second biggest value? (a) 0.1 (b) -1\/10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -380, -565?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1942499431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 79. What is the nearest to 0.2 in 1\/4, p, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-3*2)\/(-3*sqrt(250)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031 (base 4) to base 2.\nAnswer: -10001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 72458217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = -u + 7, -5*d = 5*u + 85. Let f be 35\/(-45) - (-4)\/u. Let w = 0.07 + -0.17. Which is the nearest to 1\/4? (a) 0.2 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.17805 millilitres in litres?\nAnswer: 0.04017805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -2\/3, -2, -4627, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -206. Let p be (4*(-4)\/j)\/(-1). Let i = -2.92 + -0.08. Which is the smallest value? (a) i (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/2*(-24)\/3. Let t be b\/(-6)*(-6)\/(-4). What is the remainder when 2 is divided by 8\/44 + 9\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1100) + sqrt(1100)*-2))**2 - ((-2*sqrt(11))**2 + -5 + 0 + -1*sqrt(11)))*-5.\nAnswer: -21805 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4607200 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 13*j - 175. Let d be q(32). Find the third derivative of 195*u**2 + 27*u**6 - 433*u**4 + d*u**4 + 121*u**6 wrt u.\nAnswer: 17760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451580 a multiple of 815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*p - 3, -6*p + 39 = -4*p - 5*m. Solve p*z - 10*z + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084 + 1674 = -177*a - 428 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-870)\/(-1015)*(17\/(-9) - -2)\/(114\/9).\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -2*d, -3*d + 8*d - 2*j = -6. Does 20 divide (d + 14)*3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11721, 23353, 34903, 46365, 57733?\n\"Answer: -q**3 - 35*q**2 + 11744*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 9*w**2 + 7. Suppose 0*q = -c - 3*q + 13, -c - 4*q = -17. Let p = -3 + -2. Let d(v) = v**2 - v + 1. Let r(f) = c*l(f) + p*d(f). Factor r(x).\nAnswer: (x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -217?\nAnswer: 216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7758730 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 - -5*(sqrt(162) - sqrt(18)))\/(sqrt(729) + (sqrt(729) + sqrt(729)*2 + sqrt(729))*-4).\nAnswer: -2*sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181182.1973142945562 - -6089552340.0026851014438. Let w = z - 6089733540. Let r = -17.8 - w. Round r to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(7)*1 + -1)**2*-5.\nAnswer: -40 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071 * -0.09.\nAnswer: 0.00639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose 0*p = c*p - 9. Suppose p*k - 20 = -2. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 6*k - 5. Let b be s(1). Suppose -m + 58 = 5*u, -u + 0*u + 2 = b*m. Solve -4*f = 2*l, 4*l = -0*l - 2*f + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3883*x - 3904*x - 56 - 154 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 17982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 6, 32, 4.\nAnswer: -6, 4, 5, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 6*b**2 + 17*b - 9. Let q(o) = o**2 + 2*o - 21. Let y be q(-5). Let m be l(y). What is the greatest common factor of 180 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 3692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 15}. What is prob of sequence qxq?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132920932 from -0.3.\nAnswer: -132920932.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/31975 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w + d = 24, 5*w - d = 16. Suppose 4*h + 2*l - 12 = 0, w*l = -5*h - 0*l + 15. Let q(z) = -3 + z**2 - z**3 - z**h + z**3 - z + 1. What is q(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3*s**2\/2 + 3*s - 2. Let q(y) be the second derivative of -y**3\/2 - y**2 - 4*y + 8. Calculate 2*l(h) + 3*q(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14187665 by -6.\nAnswer: -14187665\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 35*v - 96. Let g be z(-3). Let s be g\/(-52) - (-6 + (-640)\/(-104)). Which is the third biggest value? (a) 3 (b) 0 (c) 1\/8 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3020013143143 + -10?\nAnswer: 3020013143133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 696 - 5632 = 0. Which is the second smallest value? (a) z (b) -0.2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + y + 3*y**3 + 161*y**2 - 161*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12))\/(-6*6\/27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20582.5? (a) 4 (b) 0.3 (c) -14 (d) 4\/5 (e) -2 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328692489.\nAnswer: 3, 109564163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 4, 21, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 7. Let f(d) = 2*d**3 - 4*d**2 + 4*d. Let l(g) = 6*g**3 - 11*g**2 + 11*g. Give r*f(n) + 3*l(n).\nAnswer: 2*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*b**2*k**2 - 2*b**2 + b*k**3*l + b*k + 2*k**3 - 21*l wrt k.\nAnswer: -32*b**2 + 6*b*k*l + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11244011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -1\/3*f**6 - 2*f**3 + 0*f - 1\/2*f**4 - 9 + 2*f**2 + 6\/5*f**5. Determine y, given that i(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q + 4. Is 6 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/72*(-34)\/765.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 237, 376, 549, 756?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18. Let i(l) = 2*l + 36. Let q(k) = i(k) + 2*o(k). Let u(b) = 1213*b**2. Calculate q(u(c)).\nAnswer: 2426*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 484*q**4\/7 + 106291944*q**3 - 1352808332*q**2\/7 - 37773216*q - 12298256\/7 = 0?\nAnswer: -1537282, -1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116542, -230680, -344820, -458962, -573106, -687252, -801400?\n\"Answer: -z**2 - 114135*z - 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**4\/24 - x**3\/3 + 2*x**2. Let d be t(-3). Is 16*d - (2 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2070*-10*4\/((-40)\/(-15)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 4*u + 31 = -28, 0 = 301*r - 303*r - 4*u + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -10054.5, -0.038 in decreasing order.\nAnswer: -0.03, -0.038, -10054.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1\/5 (c) 1\/2 (d) -7966\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:08 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17618\/9? (a) 11 (b) 3 (c) -3\/7 (d) 0.3 (e) -2\/25 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 2a824021?\nAnswer: -2a82401b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and -7\/7420744.\nAnswer: 7420744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5063 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from zxuxbfufufup?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-6\/11)*j*j**(-7)*j*(j\/(j\/(j*j*j**(1\/5)))*j*j)\/(j*j\/j**(-8)*j) assuming j is positive.\nAnswer: j**(-624\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179646720, -359293441, -538940162?\nAnswer: -718586883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**4 + 2*d**4 + d**4 + (-3*d - d - 8*d)*(-204 + 11*d**3 + 204).\nAnswer: -134*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(7))**2 + 0 + -1 + (sqrt(70) - -2*sqrt(70)*-1)\/(2*sqrt(640) + sqrt(640)) + 5.\nAnswer: -sqrt(7)\/24 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*t - 95*t + 169*t + 77*t as r + b*t and give b.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*p - 18, 6 = 3*p + 18. Solve d + x = -3*r, 9*r - 30 = 5*d + 11*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/(-567)*6\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, -151, -81 in decreasing order.\nAnswer: 4, 1, 0, -81, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 149600 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 6*r - 4. Let z be u(-4). Suppose 0 = -z*i - 5*p + 339, 0*p - 369 = -4*i + p. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 503 - 152 = 0. Let u = l - 583\/5. Let j be (1\/(-3))\/(8\/(-6)). Which is the second biggest value? (a) u (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 14. Let p be j(-10). Let a be (4 + -1)\/((-6)\/p) - -2. Is a less than 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5))\/((-384)\/240). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7100 divided by -3\nAnswer: 7100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**6\/90 - w**4\/12 + 5*w**3\/6 - 4*w. Let j(c) be the second derivative of u(c). Differentiate j(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5834?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 63*d**4 - 251*d**3 + 8103*d**2 + 9972*d - 90720 = 0. Calculate d.\nAnswer: -56, -15, -4, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r + 3283. Let m(l) = -14*l - 3285. Determine -5*k(n) - 4*m(n).\nAnswer: n - 3275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in -3\/128, 0.08, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1028 = -847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c**2 - 5*c**2 + 9*c**2 to p + x*c**2 + m*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 564401 = 2*h, -77*h = -5*o - 72*h + 256540. What is the ten thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 582 - 580. Suppose 3*w + 78 = i + 2*i, -t*w + 14 = i. Solve i*a = 26*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389942000 rounded to the nearest 1000000?\nAnswer: -390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -139, -168, -209?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 - 526.22.\nAnswer: -521.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1538*o + 832*o + 1922*o as q + j*o and give j.\nAnswer: 4292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l**2 + 4*l. Give c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbzrzzzzrrzzbzz. Give prob of picking 1 r and 1 z.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -88?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0163575l in millilitres?\nAnswer: 16.3575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 + 190 = 6*a. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 - 10*q + 224352. Let n be x(0). Calculate the common denominator of 37\/12 and 68760\/n + 2\/(-19).\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.22. Let w(b) = b**2 - 5*b + 4. Let u be w(3). What is the third smallest value in u, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 - 2 = 2*w, -5*t + 6 = 2*w. Suppose t = -2*p - 0*p + 108. Let k(a) = -11*a**3 + 55*a**2 + 55*a. What is the remainder when p is divided by k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let w(f) = -f. Let n(j) = -4*b(j) + 11*w(j). Suppose -7 = 3*g - a - 49, -12 = 4*a. Let q(c) = -13 + g - 2*c. Give n(q(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9914303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from obobbouubbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103604561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-10695)\/17825)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(80) + (sqrt(80) + 1 - sqrt(80))*1 + (sqrt(80) - -2*(sqrt(80) + -2*sqrt(80)))*-5)**2.\nAnswer: 136*sqrt(5) + 23121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 110. Let a be (-36)\/(-21) - 4\/(-14). Suppose 344 - 36 = a*k. Calculate the greatest common divisor of k and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 23. Let b be ((-6)\/r)\/((-2)\/20). What is the third derivative of -f**2 - f**3 + b*f**3 + 0*f**2 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 55, -0.2, 3, -1\/10 in descending order.\nAnswer: 55, 3, -1\/10, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-2))\/(-1 - 1). Let q = 26.7 + -26.5. What is the nearest to q in j, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542040825.\nAnswer: 5, 13, 4744741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40 and -43\/156.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 5766259?\nAnswer: -115325.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12273 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25770 times 0.0285?\nAnswer: 734.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 21*d**2 + 16*d**2 - 4*d - 35*d**2.\nAnswer: 2*d**2 - 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l**3 - 75*l**3 + 36*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (208\/(-10))\/(-13)*(-10)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-45660)\/18*(-72)\/60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = -4*r. Suppose -r*j = -37 - 13. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -330 + -27c?\nAnswer: -5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1\/10*u**5 - 1\/8*u**4 + 11*u**2 - 1\/60*u**6 + 0*u - 5\/6*u**3 + 0. Calculate the remainder when 154 is divided by z(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x + 1\/4*x**4 - 1\/2*x**2 - 1\/5*x**5 + 1\/3*x**3 + 3. Factor s(r).\nAnswer: -r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4005095*l. Let t(s) = -s**2. Give f(t(q)).\nAnswer: 4005095*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.014 + -0.014. Let q = -0.114 - 0.386. Which is the third biggest value? (a) 1 (b) q (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - (sqrt(280) + -2*sqrt(280))\/sqrt(5)) + (sqrt(56) - (-2*sqrt(56)*3 - sqrt(56))))\/(-2*sqrt(128) - 6*sqrt(128)).\nAnswer: -5*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = 4*u + 2*y, 5*u = -3*y. Let k be 4\/14 + 24\/14. Solve u = -v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 664 - 190. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -754611 by 19349.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**15\/j**(-1)*j**13*j*j*(j\/(j\/j**(-1)))\/j assuming j is positive.\nAnswer: j**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48880442 - -4?\nAnswer: -48880437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/336 and 43\/2192.\nAnswer: 46032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/((1122\/85)\/11)*2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 0.57. Let c = -0.45 + p. Let y = 0.179 - c. What is y rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/698 and -7\/4.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let y(j) = 2654454*j. Determine y(d(n)).\nAnswer: 2654454*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -s, 0 = s + d - 5 - 3. Let k = s - 3. Suppose 5*a + 3 = h, -k*h + 13 = 3*a - 45. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - z + z + (2*z + z - 2*z)*(-72*z**2 - 312*z + 312*z).\nAnswer: -70*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 64*f + 124.\nAnswer: (f - 62)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*1 + (3 - 300\/42)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5738050 by -573805.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 577384993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 6*f - 2. Let d be o(-5). Let l be (-900)\/80*(-32)\/20. Calculate the greatest common factor of l and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/(j**(-2\/7)*j))*j**(-4\/3)*(j*j*(j*j**(-1\/4))\/j)\/j**2 assuming j is positive.\nAnswer: j**(-157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 920?\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7796279 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 56*c**2 + 4*c - 4. Let x be d(2). Let t = 13 - 9. Suppose -5*q + 184 = 3*n, 4*q - x = -t*n + 6*q. What is the remainder when n is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32063001059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9 - p**2 - 4 + 5 + 4 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 2*j + 5*j)*(2*j**2 - 3 + 3) + 3*j**2 - 3*j**2 - 2*j**3.\nAnswer: 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c + 9. Suppose c*z - a - 534 = 0, -z + 0*z = 4*a - 191. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*p = 2 - 8, 2*f = 2*p + 18. Solve 68 = -f*x + 40 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-7\/3)*j\/((j**34*j*j)\/j)*j*j**34 assuming j is positive.\nAnswer: j**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 443845039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/21 - 11888*d\/21 - 1507072\/3 = 0. What is d?\nAnswer: -784, 6728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -45126 (base 7) in base 11?\nAnswer: -8613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 1520*g + 10655. What is the remainder when l(-7) is divided by 2\/(-5) - 57\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {s: 4, a: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.75 + -6. Let w = m - 0.05. Which is the closest to -1? (a) -2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let y = -60 + 67. Let n be (y\/2 - 1)\/((-6)\/(-12)). Put t, 1, n in descending order.\nAnswer: n, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -1048, -1491, -1934?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 106, 2\/5, 1, 0.08, -0.5.\nAnswer: -0.5, 0.08, 2\/5, 1, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/18 + (-1)\/(-6). Let q = -5 + z. Let d = -0.7 + 0.3. Sort d, 0, q in increasing order.\nAnswer: q, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 a when four letters picked without replacement from zaaaanaanznza?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*w + h + 38, -3*w + 4*h - 58 = 0. Let y be (-25)\/(-9) + (-4)\/w. Determine f, given that -2 - 2*f**y + 2 + f**5 + f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -484820 or -484821?\nAnswer: -484820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + u**2 + 3037*u + 6088. Give q(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52988 = 1151*q + 14795 - 58491 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*3\/(-2). Let m be (66\/99)\/(-1 - 12\/(-9)). Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzzzzllzzzzllllllz. What is prob of sequence lzzl?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 252\/(-24) + (-6)\/(-4). Let g be j\/(-12) - (-8)\/32*1. Solve -2*i + g = -7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, u: 2, h: 1, d: 1, x: 2}. Give prob of sequence sh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*21\/(-1386)*-22\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 410 - 301 = 0. Suppose w = 7*n + 79. Solve 0 = -3*s + 3*t + t - 26, -2*s - 5*t + 21 = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1, 6550 in decreasing order.\nAnswer: 6550, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 + 5?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*3 + sqrt(77) - sqrt(77)) + sqrt(77) + 2*sqrt(77)*5)\/((sqrt(280)\/(-2*sqrt(5)))\/(6*(sqrt(32) + sqrt(8))))*1.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.9. Let g = s - -0.508. Let b = -0.02 - g. What is b rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1300, 5197, 11752, 21013, 33028, 47845?\nAnswer: 65512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65399 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -98*q**2 + 3*q - 6. Let b(y) = y**2 - y + 1. Let g(h) = -5*b(h) - w(h). What are the prime factors of g(-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4537 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1264 and 1265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 2*v**2. Let r(p) be the second derivative of -19*p**5\/20 - 13*p**4\/12 - 22*p. Determine 39*m(c) - 6*r(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + 4) - -16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (673 - 690 - (-2 + 3 + 2 + -6)) + 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 608993602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3106740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + -12.82. Let a = g - -12.42. Let w = a + 0.08. What is the third smallest value in -0.3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 0.01 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 4*w - 22 = -11*h, -2*h = 3*w + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u - 20. Let w = 0.1 + -0.1. Let b be (-8*16\/4992)\/((-4)\/(-24)). What is the second biggest value in u, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1\/3, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -1643632, 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 3*j**3 + 7*j**3 + (1 + 1 - 3)*(j**3 - 4*j**3 + j**3) + (-4*j**2 + 0*j**2 + 11*j**2)*(22*j + 5*j - 39*j).\nAnswer: -77*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1703 - 1561. What is the remainder when 273 is divided by y?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -19. Does 39 divide (-3)\/(i\/6) - 632\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 51 = 37 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.063 + -0.937. Suppose 4*r - 9 - 27 = -4*q, 2*r - 2*q = 22. Let k be 48\/r - 17\/(-85). Which is the closest to i? (a) 1\/5 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(121) - -4*2*sqrt(121))\/(sqrt(11)*-1*3 + sqrt(99)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2391*t - 109950. Give h(46).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -857 - -4866?\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/5 + 24*q**3\/5 - 62*q**2\/5 - 24*q\/5 + 64\/5 = 0?\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 77*n**2 + n - 1. Let j be k(-2). Suppose 3*t = -12*v + 14*v + j, t + v = 100. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 45. What is the nearest to 0 in i, -4\/7, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -3b?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 1.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51255 divided by 5\nAnswer: -10251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/13 (b) -2 (c) -0.4 (d) 2\/5 (e) -316\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 32. Let z(m) = 5*m**2 - 6*m - 3. Let b be z(t). Suppose -k - b = -2*a + 4*k, 0 = a + k - 68. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/22000*20)\/(2\/((-8)\/14))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5140 - -5150. Calculate the least common multiple of h and 860.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 203*x**3 - 226*x**3)*(-2*x + 3 - 3).\nAnswer: 46*x**4 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18019, -36025, -54031?\n\"Answer: -18006*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4884633510 to the nearest one million.\nAnswer: 4885000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.69 - 0.79. What is the fourth biggest value in 0.3, s, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/6 and 25\/10542163.\nAnswer: 63252978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1623)\/6)\/(-1*(-5)\/10). Let r(t) = -59*t**2 - 3*t - 1. Let g be r(3). Is g equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2769.426 * -0.5\nAnswer: 1384.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 102316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-156)\/(-65) + (-2)\/5. Suppose j*k = 4 + 2. Let o(s) = 1. Let a(w) = w**2 - 6*w + 2. Let x(b) = -a(b) - o(b). Give x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372605, 745215, 1117825, 1490435, 1863045, 2235655?\nAnswer: 2608265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/6 + 1474*s**4\/3 - 7339*s**3 + 57212*s**2\/3 - 108533*s\/6 + 5866 = 0.\nAnswer: 1, 12, 2933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -11. Let d = 41.000068 + h. Round d to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*y + 152*y - 9 = -145*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -132662365 and -3.\nAnswer: -132662368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1475025\/7 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-9 + 14 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xkkxxxkxixxkx.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, q: 2, t: 1, h: 8, p: 1}. What is prob of sequence tqt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rln when three letters picked without replacement from {y: 4, l: 2, a: 2, n: 1, r: 5}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/2 + 8113*u**2 - 307867*u\/2 - 534831 = 0.\nAnswer: -3, 22, 16207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -626.\nAnswer: -67\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -37 - -35 - (-50 + 17)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2545496, -10181792, -22908952, -40726976, -63635864, -91635616, -124726232?\n\"Answer: -2545432*a**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m. Let w(g) = -15*g - 1. Let i(z) = 11*d(z) - 6*w(z). Does 13 divide i(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 2 - (-22 + 22 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562652 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226922 by -171.\nAnswer: 226922\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 7*z - 5*z - 21*z**2 + 9*z**2 + 10*z**2.\nAnswer: -2*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287 and 751407?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x**2 + 69*x**2 + 65*x**2 - 199*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22474 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1052 and 77\/9468?\nAnswer: 9468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1 - 11 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12545 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {r: 3, s: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b + 9. Let a(r) = -7*r**3 + r**2 + r - 1. Let x be a(1). Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 take away 11?\nAnswer: -11.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 5, z: 6, v: 4}. What is prob of picking 2 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/(x*x\/(x*x\/(x*x**3*x*x))*x))**(-42)*(x**5*x**(-2\/21)\/x)\/(x**(-5\/2)*x**(-6)*x) assuming x is positive.\nAnswer: x**(13709\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14327\/23 - -623. Let s = -13\/75 + 241\/525. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let o = 1 + m. Differentiate -13*x**2 + o*x**2 + 4 + 15 + 18*x**2 wrt x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n**2 - 6*n**2 + 6*n**2)*(5 + 28 - 116) in the form c*n + p*n**2 + a and give p.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1138659 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.19879 and -0.3.\nAnswer: 1.89879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -27*n - 12. Let p(a) = -a**3 - 4*a**2 - 3*a - 4. Let b be p(-3). Is 24 a factor of k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -11*q**3\/3 + 3*q**2\/2 + 3*q + 3598. Suppose -3*x + 0*x = -9. Let m(n) = -11*n**2 + 2*n + 2. Give x*m(w) - 2*r(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 8. Suppose 4*d - v - v - 48 = 0, -2*d - 2*v = -30. Calculate g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.019, 10.4, 4, 0.2, -2.2 in descending order.\nAnswer: 10.4, 4, 0.2, -0.019, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i + 4. Let s be z(6). Let u = -13 + s. Suppose h = -5*c + 17, 93 = u*h - 3*c + 6. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 8 = -1294*c + 1290*c, -j - 2 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 319.8.\nAnswer: -320.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225337, 901350, 2028039, 3605404, 5633445, 8112162?\nAnswer: 11041555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c = 3. Let d = -9 - -4. Let k = d - -3. Sort k, 1, c in descending order.\nAnswer: 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*w**4 - 11*w**4 - 34*w**4 - 105*w**2 + 45*w**2 wrt w.\nAnswer: -768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -20, -22, -22, -20, -16, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 56*i + 390. Let d(f) = 236*f - 7 - 217*f + 2*f**2 - 123. Let z(k) = -6*a(k) - 17*d(k). What is the first derivative of z(q) wrt q?\nAnswer: 4*q + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8879 (base 16) in base 3?\nAnswer: -1022001220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -35*p + 67*p - 31*p. Let w = 3748 + -2623. Let x(k) = -w*k + 1125*k + 27*k**2. Calculate b(x(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 29. Let i(c) = -3*c**2 + 3*c + 8. Let f be i(2). Let h be (-1*18)\/(f*(-30)\/40). Determine k(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmbbbbbbmmm. What is prob of sequence mmm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/312 (b) 1 (c) -4\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-6) - 1)\/(47\/141). Let r(j) = -j**3 + 8*j**2 - 6*j - 3. Give r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4333 - -4331. Let u = 4 + 0. Let b be 1\/4*(-36)\/(-21). What is the nearest to j in 2\/19, b, u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112\/2955959 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 3*p**2 + 148*p + 287. Give a(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/35)*(k*k**(-6\/13))\/k)**(-1\/52) assuming k is positive.\nAnswer: k**(46\/5915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 161 = -149 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2 + 13*d. Let h(f) = -3*f**2 - 4*f. Let q(s) = -7*h(s) - 2*w(s). Let m be q(-5). Suppose -9 = -4*a + m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57236?\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -697800 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from ffffbfbfff.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 118*i = 0. Let u(c) = -c**3 - c**2 + c - 4. What is u(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 32. Let t = -10 + f. What is the least common multiple of (-40)\/t*(-3)\/(-2) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*g - 38 + 0 = 0, g - 1 = z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 58 - 56 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*t = -2*t - 347, 3 = 3*t. Is a a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*s**3 + 18 - 27*s - 8*s**3 + 36*s**3 - 18.\nAnswer: 120*s**3 - 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Suppose 6 = -2*z - 0. Let d(s) = -1. Let g be (-25)\/(-10)*62\/155. Calculate g*u(m) + z*d(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4169 or -4167?\nAnswer: -4167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/7 = -0.0821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*c - 18 = -280*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29100 - 29034. Calculate the smallest common multiple of 396 and g.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*z - 104 + 45 = 0, -z = -3. Solve -11*b - 8 = -q*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1323 and 11.\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 19*s - 27*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 913 + -907. Let j be 2\/6 + 113\/3. Suppose -b*g - j = -236. Calculate the remainder when 63 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (8 - 8 - (-11 - -5 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 - 5*m**4\/3 - 10*m**3\/3 - 6*m**2 + 2144*m. Calculate a(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -72 + 116. Suppose -8 = s*h, d - 200 = -d + 2*h. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324 minus 125939.931842?\nAnswer: -125939.899442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 728, 789, 888, 1025, 1200?\n\"Answer: 19*f**2 + 4*f + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.904 to one decimal place.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-1905)*4\/(-6)*8805\/3522?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 33. Let f = d - -13. Which is the third biggest value? (a) 3 (b) f (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-33) - 40\/110. Let g(n) be the first derivative of -4 + 3*n - 1\/2*n**2 + 1\/4*n**4 + v*n**3. What is g(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*2\/4*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5376882599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2853971 and -20969477?\nAnswer: 23823448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1084*n - 1082*n - 36. What is the greatest common divisor of 174 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 92 = -88, 3*d - 8*k - k = -36 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r = 4*w - 2*w - 199, -2*w = -727*r + 723*r - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 2*c**3 + 1016*c**2 + 5*c - 177 wrt c.\nAnswer: 24*c**2 - 12*c + 2032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-26 - -10 - -27)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.577 + -2.5775259. Round r to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-46)\/((d\/((d\/((d\/d**(-12))\/d))\/d))\/d))**(-45) assuming d is positive.\nAnswer: d**2610","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**2 + 4*v + 3. Let c(z) = 16*z**2 - 3*z - 2. Suppose -14 - 4 = 6*w. Let j(o) = w*f(o) - 4*c(o). Calculate j(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**7\/t))**45*(t*t**(-16))\/t**(1\/10) assuming t is positive.\nAnswer: t**(-2851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 47. Let v be h(13). Let x be (v - 91\/(-21))*-27. Solve -x = -7*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490080937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 7*s - 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3))\/sqrt(5) - (sqrt(11) + (sqrt(704) + 3)**2).\nAnswer: -713 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 770, 1563, 2446, 3461, 4650, 6055, 7718, 9681?\n\"Answer: 7*h**3 + 3*h**2 + 735*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 127*c**2. Let j(o) = -6*o**2. Determine j(b(i)).\nAnswer: -96774*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 1795209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 94 and 89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -3*d + 251*h - 250*h, 9 = -23*d - h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1240, 9834, 33140, 78514, 153312, 264890, 420604, 627810?\nAnswer: 893864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -60. What is the nearest to 2 in f, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*o**2*z + 2*k*o*z - 2*k - o**2 + o*z - 351*z wrt o?\nAnswer: -4*k*o*z + 2*k*z - 2*o + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946970?\nAnswer: 2, 5, 281, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3138*q + 19600 with respect to q.\nAnswer: 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.70372 millimeters in centimeters?\nAnswer: 5.770372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0.38. Let d = -37 - -36.8. Which is the closest to -1? (a) d (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8147 + 0.1853. Which is the third biggest value? (a) 0.3 (b) 0.13 (c) g (d) -1 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + -44?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75571454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 2*j + 9 = -27*w, -2*w = 31*j + 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13015389 + 3315389. Round h to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303 + 308. Let q(b) = -14*b**2 - 7*b**2 + 2*b**2 + i*b**2. Let y(g) = 10*g**2. Calculate q(y(t)).\nAnswer: -1400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 3*j)*(-3 - 1 + 5)*(307 + 187 + 162).\nAnswer: -1312*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35025964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 15*d = 9, 0 = -u + 2*d - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsshggshsgtttgs. Give prob of picking 4 t.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101\/6 - 1325\/78. Which is the nearest to -0.2? (a) y (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 2. Let h be f(1). Suppose 4*x - 2*x = h. Solve -s - 6 = -x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76133376 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 229218 divided by -69\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/60552 and -137\/54330282.\nAnswer: 217321128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -134\/13 (b) 2\/17 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43? (a) -5 (b) -54 (c) -15 (d) -2\/11 (e) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/(-28)*-4*-7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 784\/80 - 7 - (-4)\/(-5). Factor -50\/7*z**3 + 72\/7*z - 16\/7 - 60\/7*z**u.\nAnswer: -2*(z + 2)*(5*z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1480.7 + -1478.7. Put s, -3\/2, 4\/7, 25\/14 in decreasing order.\nAnswer: s, 25\/14, 4\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 16. Let n(t) = t + 4 - 5*t + 3*t. Let c(w) = 9*n(w) + 2*y(w). Give c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/4)\/5*6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*w + 8*w - 245*w + (4*w - 4*w + 2*w)*(-1 + 2 + 1) + (5 - w - 5)*(-1 - 4 + 7) + 0*w + 0*w + w.\nAnswer: -282*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560653 - 69810 = 23*b. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 123245?\nAnswer: 4929800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56 + -ff?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 31, -0.3 in decreasing order.\nAnswer: 31, 2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 13*b**2 + 38*b**2 - 11*b**2 + 12*b**2 - b**2 as i*b**2 + c*b + s and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -108 - -56 - (-35 + -25)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(-4)*(-1 - 41). Let t be 6\/(-21) - (-60)\/m. Solve -5*w + 1 = -2*s - s, -2*w = t*s + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184522565.\nAnswer: 5, 1151, 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 748 = -5*d, -4*d + 744 = -4*p + 3616. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/61116 and 67\/120372.\nAnswer: 613054596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276914 is divided by 13826.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 = -s, q + 21 = 3*q - 5*s. Suppose -7*c + 17 = q. What is the greatest common factor of c and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202819868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1510 - 3?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*l**2 + 67 + 3*l + 34 + 14 + 81 - 28*l**2 with respect to l.\nAnswer: -56*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -1, -135 in descending order.\nAnswer: -1, -2, -9, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21068963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.17 - -101400.\nAnswer: 101401.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 12. Suppose 3*z = 7*z - x. Suppose 0 = -z*h + 11 + 11. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 36. Let o be (2 + -3)\/(4\/(-80)). What are the prime factors of (18\/q)\/((-6)\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0427 > 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cea1 - -50?\nAnswer: -2ce51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 12. Let f(w) = -5*w**2 - w - 49. Let k(d) = -9*c(d) - 2*f(d). Let q(r) = -r**2 - r + 2. Let m be q(3). Is 14 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 13*i + 18. Let x be u(-14). Suppose -4*d + x = -228. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -21 - (59 + (161 - 225))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 5*p**2 + 13*p**2 - 91*p**2.\nAnswer: -94*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -675*x**5 + 2*x**4 - 1306*x**2.\nAnswer: -40500*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2)\/(n**(10\/9)\/n) assuming n is positive.\nAnswer: n**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 - 0.7. What is the closest to 0.2 in -5, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249436250 divided by 245750.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24508545, 49017085, 73525625, 98034165, 122542705?\nAnswer: 147051245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12156*c*z**4 + 32446*c*z**2 - c*z - 101*c - 2760*z**4 - z**2 + 2 wrt z?\nAnswer: -291744*c*z - 66240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8051 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6112 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 23. Let i = 8 + m. Let t = i - -7. What is the smallest value in -1, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*t**2 + 1402*t**3 + 334*t**2 - 724*t**3 - 611*t**3.\nAnswer: 67*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -13*i**4\/24 - 13*i**3\/3 + 36*i**2. Differentiate y(j) with respect to j.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1950\/1170*(-2)\/40\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.312, 0.4, 2\/3, -24 in ascending order.\nAnswer: -24, 0.312, 0.4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -1. Let j = 0.9 - f. Let r = j - 0.8. Which is the second biggest value? (a) r (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6) + -1)\/1*(-53 - -35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4830 - 4834. Which is the fourth biggest value? (a) -2\/3 (b) 0.3 (c) 4 (d) o (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -23*n**2 - 2740*n - 234. Give y(-119).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*q - 2*p - 16, 6 = 3*q - 3*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429024600 rounded to the nearest one million?\nAnswer: 429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than 5.915727?\nAnswer: -6.084273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18) - (-3432)\/(-702))*(-24)\/10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -11*b + 6*b. Solve -4*t = -b - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0.2 (c) -0.06 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758.7 + 729. Let l = 29.6 + n. Which is the biggest value? (a) l (b) -54 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/28 and -38\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 8126?\nAnswer: 8126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 - 2*b**2 - b - 2. Let x(n) = 3*n + 13. Let l be x(-5). What is t(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4527823, -9055650, -13583477, -18111304, -22639131?\nAnswer: -27166958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by -3\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*w + 58*w + 500 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/17 in 3, -4\/7, -863, 5, 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (-77 - -31 - 1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14467*s*v**3 - s*v**2 + 19211*v**2 wrt v.\nAnswer: 86802*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-2 - 106\/(-52)). Suppose -r + 3*r = l - 4, -3*l = 3*r + 24. What is the second smallest value in h, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*u**5 - 11*u + 8.\nAnswer: 2260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -543 + 0?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 493 - 261. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1884 - 1883. Which is the smallest value? (a) -2 (b) o (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s - 16. Suppose -7*r + 33 = -s*r. What is 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 n(u) = u**2 + 5*u - 51. Let j be n(-10). Calculate the least common multiple of 4 and (120\/10)\/(j + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -532, -522, -514, -514, -528, -562, -622, -714?\n\"Answer: -n**3 + 5*n**2 + 2*n - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4366 in ascending order.\nAnswer: -5, 3, 4366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -224b - d0?\nAnswer: -231b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1902 and -34\/2853.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 24 = -2*a. Let j(n) = 11*n**2 + 4*n - 2. Let z(l) = -4*l**2 - l + 1. Let d(u) = a*z(u) - 3*j(u). Let o(q) = q**2 + q + 1. What is d(m) + 4*o(m)?\nAnswer: 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2*6\/6. Let j(w) = 35*w**2. Is j(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0408*-0.6.\nAnswer: 0.02448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert eebee (base 16) to base 12.\nAnswer: 3b1aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 1 - 1)*(3 - 3 + 2)*(10*o + 2*o - 4*o) to f*o + g*o**2 + a and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.74701 decades?\nAnswer: 0.274701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -820525.\nAnswer: 328210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 50. Is (-2)\/g - (-4224)\/54 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v - 190*v - 52*v.\nAnswer: -289*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -159.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, j: 2, n: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 737040 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6565 divided by 13\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4*s**2 - 2*g**4 + 49*g**3 - g*s + 15*s**2 wrt g.\nAnswer: 12*g**2*s**2 - 24*g**2 + 294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6127 - -6677.8. Let m = -551 + s. Which is the fourth biggest value? (a) -55 (b) 0.4 (c) m (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Let c = o - -85. Let p be (-2)\/4 + 21\/2. What is the greatest common divisor of p and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k - 17 - 9*k - 7*k wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1484 and 53?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436, -2830, -7094, -13234, -21256, -31166?\nAnswer: -42970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/15, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -28*r**2 + r - 48. Let m be u(7). Let f = m + 221842\/157. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/3*27\/48)\/(-15*6\/(-360)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 9) to base 12\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.2 - -12. Which is bigger: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12e7d0 + -2c6?\nAnswer: 12e50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, -85 in descending order.\nAnswer: 35, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723529 is divided by 430866.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 6 + 188 = 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1386 - 1386.03985. Let l = c + 0.04. What is l rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 77*m - 764. What is x(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:47 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 85*k + 410 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 6*o = -21, -4*b - 90*o + 91*o = -7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/7 + 144*k**3 + 128004*k**2\/7 + 248992*k\/7 - 378006\/7 = 0?\nAnswer: -251, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 9:36 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3*5\/6)\/(68\/(-136))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182877 + 182867. Suppose -1 = -3*i + 2. Sort i, 5, 2, n.\nAnswer: n, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40507580 to the nearest integer?\nAnswer: 6365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50994 or -50995?\nAnswer: -50994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 2. Suppose 7*d = -5*l + 4*d + 295, 201 = q*l - 3*d. What is the remainder when l is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81842, -163702, -245564, -327422, -409270, -491102, -572912, -654694?\n\"Answer: r**3 - 7*r**2 - 81846*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + 12\/4. Suppose b*y = y - 489. Round y to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let i(y) = 143949*y**2. Give c(i(w)).\nAnswer: -20721314601*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/60676 and 91\/36?\nAnswer: 546084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*g**2 - 208*g**2 + 1 - 38*g**2.\nAnswer: -450*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*f = f - 25, 2*f = l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77525.72 grams?\nAnswer: 77525720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:31 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*s + 16716 + 12432 = -3402. What is the remainder when s is divided by 346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6))**(-29))**(9\/11) assuming w is positive.\nAnswer: w**(-87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.235 * 6192.\nAnswer: 38607.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4362120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 3)*(6 - 1 - 3)*(11*o + 7*o + 3*o)*(0*o + o - 3*o) to h*o + k + r*o**2 and give r.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 13*m + 125 = 0. What is the highest common divisor of m and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*g = -21, j + g = -0 + 2. Suppose -28 = -j*r + 7. Suppose 2*q + 229 = 2*i + r, 4*i = -2*q + 468. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 9*l. Let z(a) be the second derivative of a**4\/4 + 13*a**3\/6 + 3*a. Let t(n) = 7*b(n) + 5*z(n). Suppose t(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = 3*s, 4*r - 164886 = -164874 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -26. Let p = 481 - w. What are the prime factors of p?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 23*t - 2. Let d(i) = -2771*i**2 + 4614*i - 10. Let f(l) = -d(l) + 5*k(l). What is the second derivative of f(p) wrt p?\nAnswer: 5532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18364, -36906, -55450, -73996?\nAnswer: -92544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 6*l - 3*l**4 + 9*l wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 16*z**2 - 10*z - 7. Let j = 15640 + -15625. Give l(j).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7632*a - 3826*a - 3971*a.\nAnswer: -165*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 6. Let h be c(-1). Suppose -5*r = h*q - 2*r - 84, -2*q + 5*r + 35 = 0. Factor 35*w + 8 - 8 + 5 + 55*w**2 + q*w**3.\nAnswer: 5*(w + 1)**2*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**2\/2 - 189*c\/2 - 7992 = 0?\nAnswer: -48, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6*r + 4*i**6 - 2*i**3*r + 2*i**2*r - 16*i*r - 2*r wrt i?\nAnswer: 240*i**3*r + 480*i**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/42558 and 58\/2036037?\nAnswer: 166955034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/(30\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from ttuututuuuuuutuu.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 85665.2255 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1638, 1623, 1590, 1533, 1446, 1323, 1158?\n\"Answer: -k**3 - 3*k**2 + k + 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 246 - 156534?\nAnswer: -156255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -41\/3 (b) -2\/7 (c) 1\/10 (d) -111 (e) 14\/9 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 46, 78, 124?\n\"Answer: 7*i**2 - 3*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-747)\/45 + 13)\/(1\/(-180)). Calculate the greatest common factor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6425, 6479, 6535, 6593, 6653, 6715, 6779?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d + 24*d = 2400750. Is d a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45383509 is divided by 109622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 55. Let h be (-13734)\/(-39) + 6\/(-39). Let q be (4\/(-8))\/((-2)\/h). What is the greatest common divisor of t and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373129425?\nAnswer: 3, 5, 1658353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 7*z**6\/60 - 2*z**4\/3 - 11*z**3 - 38. Let o(x) be the third derivative of j(x). Find the first derivative of o(u) wrt u.\nAnswer: 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-10))\/((-25)\/875). Let c = 20 - r. Let a(p) = 34*p**2 - p + 3. Let n be a(3). What is the highest common factor of n and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942827441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7761471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**2 + 2*c - 4. Calculate the remainder when 58 is divided by i(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82522 - 33479 = -9*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -10. Suppose 0 = 2*a - 3*a - b. Let w = -10 - a. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-3) + -6 - (-42770 + (-1 - 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**3 + 23*k**2 - 59*k?\nAnswer: -24*k + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 3879*z + 62320 = 0.\nAnswer: -3895, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4820220 and 68625?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1*(-2)\/12*94. Suppose 2*v = 4*v - 162. Let d = v + y. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -0.5 (c) 11\/63 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:40 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2654 + 74 = 4*x. Suppose -5*c + 16*c = x. Suppose b - 15 - c = 0. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h - 50. Let m be (-10)\/(-8)*2\/h. What is the nearest to m in 0, 2, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19505000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 + -379. Suppose 6*o - 5*b + 893 = g*o, 4*o - 1768 = -4*b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*j**2 + 57*j**2 - j - j - 115*j**2 - 3 to b + k*j + x*j**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.7, -3\/5, 5 in increasing order.\nAnswer: -3\/5, 5, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.075 + -2.925. Let d = 0.5 + -2. Let f = d + 2. What is the second smallest value in u, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-169939677.84\nAnswer: -169939679.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/1170*-13)\/(60\/(-72))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15200 + 9569 = 693*z - 3644 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-6) + 1 + -2. Let l be j\/(-8) + (15 - 15). What is the biggest value in 0.5, l, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31253 is divided by 31227.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000948602818 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -5 - -5) + 0 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {l: 4, w: 6, x: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1620.9752 + -2\nAnswer: -1622.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*o = 617501 + 421107. What are the prime factors of o?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/(-2058)*-3). Suppose 6*n + r = 13*n. Let y = 55 - n. Solve -4*i + y = 2*w - 4, -4*i - 3*w = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))**(3\/4) assuming s is positive.\nAnswer: s**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**5 - 26*k**5 - 2*k**5)*(0 + 2 + 5 + (0 + 2 - 1)*(5 - 4 + 1) - 1 + 3 + 2).\nAnswer: -455*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from kinidrrd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/23)*(y**40\/y)\/y*y*(y**(1\/44))**(2\/27))**(-34\/9) assuming y is positive.\nAnswer: y**(-9078493\/61479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6864*j**2 - 2739*j?\nAnswer: 13728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106816 is divided by 1491?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 509011 - 19?\nAnswer: 508992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 151 = 56. Let d = l - 11. Let s be (-7)\/((-7)\/d)*1. Calculate the highest common factor of s and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251 - 193. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((69\/(-4))\/(-3))\/((-1)\/8). Let h = c - -48. Suppose -5*r = -7 + h. What is the remainder when 5 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 + 2900*v - 378180 = 0. Calculate v.\nAnswer: 198, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let l(r) = r**4 + 7*r. Suppose -2*d = 2*d - 16. Let a = -2 - d. Let g(n) = a*t(n) - l(n). What is the second derivative of g(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -26. Let z = g - -7. Let m = -12.9999796 + z. What is m rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34477778.\nAnswer: 2, 17238889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2*f + f + 3*f) - 2*f + 2*f - 2*f + (-1 + 6*f + 1)*(11 + 2 - 3).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/16)\/(3\/(-6 - -9)). What is the third smallest value in -4, -1, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7298317*i - 7298317*i - 11*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 15, 4, -37, -120, -257, -460, -741?\n\"Answer: -2*g**3 + 3*g**2 + 12*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -248*g + 10. Let i(q) = 121*q - 4. Calculate 7*i(m) + 3*x(m).\nAnswer: 103*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, x: 1, h: 1, u: 1}. Give prob of sequence hn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -373 - -374. Which is the nearest to x? (a) 4 (b) 2 (c) 0.3 (d) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2161437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-40)\/(-2)))\/((-1263)\/7578)*25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfrjfqmjjfjqrfmmj. What is prob of picking 3 j?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 34 = -4*z - 2*r, -2*z + 5*z + 3*r = -15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*f**3*k**3 - f**3*k - f**2*k**2 - 13*f**2*k wrt k?\nAnswer: 540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:10 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d + l + 10 = 0, 0 = -3*d - 3*l + 15. Factor d*v**3 - 20*v - 58*v**3 + 60*v**2 + 30*v**4 - 10*v**3 - v**5 - 4*v**5.\nAnswer: -5*v*(v - 2)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + 3 + -3 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7012 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*f - 15, -g - 3 = 3*f - 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.469810727 to 2 decimal places.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-265.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 0.8\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 0.3\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 7*z + 17)*((0 + 0 + 1)*(4 + 4 - 5) + 0 + 4 + 1).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/24 and ((-1)\/(-8))\/(220\/5840)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*2 - 6) + 1. Let m = 8 + p. Let x = -4.082 - -0.082. What is the third biggest value in -0.3, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3888*z - 1122 = 3990*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*g - 161 - 16, -4*g + 68 = r. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35875 is divided by 446.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 5)*(-2 - 2 + 7) - 31 + 2 - 2)*(-1 - 4 + 6)*(-17*t**3 + 36*t**3 - 17*t**3).\nAnswer: -74*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13597388 divided by -14?\nAnswer: 971242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267921*n**4 - 36*n - 2207.\nAnswer: 3215052*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*s + 438 = 444 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 5*f + 5. Let a be u(-4). Let q be (-4)\/(-12)*1*3. Is q < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46232*g*n**3 + 23291*g - n**2 wrt n.\nAnswer: -277392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3385 and -290425468.\nAnswer: -290425468.3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 68. Let l be (-9)\/n - (-5)\/4. Suppose v = 2 + l. What is the greatest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 smaller than 591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -323942*a**4 + 121783.\nAnswer: -1295768*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1706 + 2262 = 4*t - c, 5*c = -20. Suppose f - 2*y - 243 = 3*y, -4*f + t = -y. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = 0. Suppose -3*g - 4*w + k*w = -14, 5*g - 5*w = 0. Suppose -2*c = g*x + 2, -4*c + c = 4*x + 7. Solve 0 = c*z - 1 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7420, 7413, 7406?\n\"Answer: -7*o + 7427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.099038 - -0.11902. Let r = 0.02 - z. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 7*d - 17. What is x(3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**15\/(y\/((y**(-2\/5)*y)\/y)*y)**(-44))\/(y\/(y\/(y\/y**(-6)))*y**(-4\/3)*(y*y**(2\/3)\/y)**(-1)) assuming y is positive.\nAnswer: y**(653\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 7040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2121893*w. Let l(g) = 30*g**2. Calculate l(t(n)).\nAnswer: 135072897103470*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:35 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.71 - 9.8. Which is the closest to -1? (a) 0 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 5950?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456741557 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 169\/104 + (-3)\/(-8). Suppose 5*b + w*k = b + 2800, 700 = b - 4*k. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-95))\/((-13)\/(-65))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137733546 is divided by 137733539.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(5093*n**2 + 2*n + 35*n**3 - 5093*n**2) in the form i + k*n + h*n**2 + x*n**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/43, -0.02, 0.2, 3, -38, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124005609 take away 4?\nAnswer: -124005613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in 0.02194, -0.024, -1\/3?\nAnswer: 0.02194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2701 = 27*n + 46*n. What is the least common multiple of 11 and n?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**5\/15 + 20*c**4\/3 - 532*c**3\/15 + 664*c**2\/15 - 202*c\/15 - 44\/15 = 0. Calculate c.\nAnswer: -11, -1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 7*x + 10. Let m = 327 - 332. Determine y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10223, -10145, -10047, -9923, -9767, -9573?\n\"Answer: v**3 + 4*v**2 + 59*v - 10287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26579 - -0.3.\nAnswer: 26579.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 1332?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*z, 2 = -z - 2. Suppose -1 + 11 = w*s. Suppose 2*u - 8 = -2. What is the remainder when s is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1042 - 951. Solve 22*w + y + 19 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*c**3*i + 715*c**3 + 4*i wrt i?\nAnswer: 70*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -477085, -477086, -477087, -477088?\n\"Answer: -p - 477084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.29 + -3.41. Let m = j - -177. Round m to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*i + 6*i + 69, -3*q - 5*i + 45 = 0. Calculate the smallest common multiple of q and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 plus -492?\nAnswer: -493.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 9. Let n(b) = -29*b + 46. Let v(a) = n(a) + 6*s(a). What is v(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*c = -524, -5*n - c + 1610 = 308. Round n to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -162 (b) -0.2 (c) -3\/206 (d) -5 (e) -355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -1\/2*c**2 + 12*c - 94. Calculate z(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -3, 4483 in descending order.\nAnswer: 4483, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**2 + 13*r - 21. Let d be v(-5). Let m = 176 - d. Solve m*n + 16 = 16*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 2*i**2 + 2*i. Suppose -49*m + 53*m = 12. Suppose -4 = -a + m*a. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 789, 2567, 6013, 11679, 20117?\nAnswer: 31879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-9826)\/4403) + ((-8)\/(-74))\/2. Factor j*s**4 + 0*s + 2\/7*s**5 + 0 - 2\/7*s**2 - 2\/7*s**3.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/3324 and 17\/306639.\nAnswer: 1226556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028374 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {w: 5, s: 1, k: 3}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 smaller than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*g + 0 - 3\/5*g**2 = 0 for g.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 413*f**3*t**2 - 14*f**3 - f*t + 191*t**2 + 790 wrt f.\nAnswer: 1239*f**2*t**2 - 42*f**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 31*d**2 - 41*d**2 + 9*d**2 + 0*d**3 + 5*d - 4*d - d**3. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-372)\/(-15))\/(-4) - (-5)\/25. Let q(r) = 5*r**2 + 6*r + 6. Let t(u) = -4*u**2 - 5*u - 5. Calculate d*t(x) - 5*q(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/9*q**5 + 8\/3*q**3 + 4\/9*q**2 + 0*q**4 - 6*q - 4 = 0.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2)\/a)**(-10\/9)*(a\/(a**(-12)*a))\/a*a*a**(-4)\/a)**(-33))**(5\/13) assuming a is positive.\nAnswer: a**(-1705\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*i - 4*r, 3*i + 5*r + 1 = -24. Let t be (115\/(-50)*12)\/(2\/i). Let x = 204 - t. What is the highest common factor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**5*f)\/f)\/((f*f**0*f)\/f))\/(f\/(f**5*f*f)*f*f*f*((f\/f**2)\/f)\/f*f))**(-8\/3) assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + 4. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-10\/17)\/((q*q\/(((q\/q**(-2))\/q)\/q))\/q**(2\/7)))\/(q**3\/q*q**3*(q\/(q*(q**(-2\/9)*q)\/q*q))**10) assuming q is positive.\nAnswer: q**(1580\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-29)\/(-50)) + (-28)\/(-350). Let -1\/2*w**3 + 1 - w**2 + z*w = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9 - -8. Let d = s - 0. Let u = 5 - 8. Put 0.5, u, d in decreasing order.\nAnswer: 0.5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.4. Let m = -0.33 + -0.07. Let t = -0.3 - m. What is the closest to t in -4, p, -0.09?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(-1)*35*160\/(-240).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 - 6*r - 7. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*y + 16, -31*m + 24*m = y - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -280426 divided by -140213?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -191, -347, -557, -821, -1139?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 - 12119\/31. Put i, -2\/9, -2\/17, -2\/3 in increasing order.\nAnswer: -2\/3, -2\/9, -2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**3 + 42*m - 203*m - 4*m + 18*m**3 to r*m**3 + c*m + u + b*m**2 and give c.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, -4*z + z + 3 = -y. Suppose 3*c + y*b - 6*b - 186 = 0, c - 70 = 3*b. What are the prime factors of c?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 10*m - 20 = 0. Let i be 12\/9 - (-2)\/(-2). Factor 2\/3*a**2 + i*a**m + 2\/3*a**3 + 1\/3 - a**4 - a.\nAnswer: (a - 1)**4*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2281*w + 2988*w + 2803*w as l*w + u and give l.\nAnswer: 3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*v - 7, 2*q + 6*v - 2*v = 0. Suppose -8*g + 5*g + 12 = q*k, -3*g + 6 = 0. Suppose -2 = k*r - 8. Solve 0 = n + 4*i - 2 - 1, r*i = 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202439 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10868419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1740*g**3 - 2900*g - 2900. Let v(q) = q**3 - 2*q - 2. Give 2*p(c) - 2900*v(c).\nAnswer: 580*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*z - 1332 + 1332 + 0*z + 342*z as x + h*z and give h.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 6 - (5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*z**5 + 2*z**3 + 120*z**2 + 311380*z wrt z?\nAnswer: 880*z**3 + 12*z + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - 22)\/93 + (-1945)\/(-3). What is the greatest common factor of 28 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.1 + 49. Let h be ((-3)\/9)\/((-1)\/(-3)). Let z be (h - 0)\/(1 - 2). Which is the third biggest value? (a) 0.07 (b) t (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -73*p**6\/360 - 41*p**3\/6 + 73*p - 1. Let j(w) be the second derivative of q(w). Let h(z) = -3*z. Calculate h(j(s)).\nAnswer: 219*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355257*u - 355254*u + l + 7 = 0, 19*u + 4*l + 14 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/51*-17)\/(-24)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and ((-2)\/(6\/37))\/(1420\/20).\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffz when four letters picked without replacement from {z: 12, f: 3}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 9*r**2 + 35*r - 7. Determine p(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264603 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*l**2 + 84*l**2 - 5*l - 218*l**2)*(0 + 2 + 0).\nAnswer: -16*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + (17 - (7 + 2 + -7))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 28*t + 8. Give i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 779 + -163. Let o = -302 + b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 2\/21*s**3 - 4\/7*s - 1\/7*s**2 + 1. Factor a(n).\nAnswer: 2*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 4*k + 5. Let x(p) be the second derivative of 0*p**4 + p + 0 - 5\/6*p**3 - 3*p**2 - 1\/10*p**5. What is -5*f(h) - 4*x(h)?\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4522785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68699585 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2485 = -902*h + 3829 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 101881?\nAnswer: 815048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d4 (base 15) to base 4.\nAnswer: 202300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1093426793 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25143587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 56*y**3 + 114*y**3 - 58*y**3 - 2*y**2 - 6*y**4 in the form n*y**4 + k*y**3 + r*y + p + j*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)\/n*n)\/n*n*n\/n**2*(((n**2*n)\/n)\/n)**(-11\/2))\/(n*n\/((n*n\/n**(-8)*n*n*n)\/n)*n*n**(-2\/5))**(-16) assuming n is positive.\nAnswer: n**(-313\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 times 0.1?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 45.5. Let d = l - -47. Let s = -1 + 1.4. What is the nearest to -1 in s, 0.5, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + 5*o. Let j(h) = -6*h**2 + 4*h. Let p(s) = -4*d(s) + 5*j(s). Let q(z) = 4*z. What is q(p(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 572905, 572904, 572901, 572896, 572889, 572880, 572869?\n\"Answer: -c**2 + 2*c + 572904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20687226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-153)\/(-5))\/1 - (-4)\/10. Suppose 41 = -5*z - 4*t, -5*z + t - 15 = f. Let y = z - -35. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(30) + sqrt(480)*-1)\/(-3*sqrt(12)\/sqrt(2) + sqrt(6)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4377.6 and 5.1.\nAnswer: -22325.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140 - 9*r**2 - 399 - r**3 + 9*r**2.\nAnswer: -r**3 + 741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 6 - 16\/(-4). What is the derivative of 0*t + 3*t + d*t + 8 wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205877 (base 10) in base 15?\nAnswer: -41002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41450262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8784707 divided by -8.\nAnswer: 8784707\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b + 165 = 0. Let q = -112 - b. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.14 + -6.15. Let f = g + 9. What is f rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 146.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/12 - -1619\/204. Which is smaller: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3448, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, 1, 2\/3, -392?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 256 = -4*v, n - 192 = -3*v - n. Suppose -v = -8*r + 16. Sort -2, r, 0, 4 in ascending order.\nAnswer: -2, 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-310)\/93*48\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773551 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127340 is divided by 63644.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12286\/33 - 4088\/11. Put -44, 0.285, y in decreasing order.\nAnswer: y, 0.285, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00518976 to 5 decimal places.\nAnswer: 0.00519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t*t\/(t\/t**(-3\/26)*t))\/t)*(t*(t*t\/(t**(1\/13)*t*t*t))\/t)\/t)**(-1\/13))**(-2\/21))**18 assuming t is positive.\nAnswer: t**(162\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - o**2 - 3*o - 3. Let x(w) = 5*w**3 + 2*w**2 + 5*w + 5. Determine -3*x(l) - 5*z(l).\nAnswer: -5*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/72)\/(81\/(-36)*(-5)\/(-15))*114.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 668*v**2 + 240*v + 2?\nAnswer: 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28111130.\nAnswer: 2, 5, 2811113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -651 (base 12) to base 15\nAnswer: -41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153596*d*w**2 - 146030*d + 2*w**2 + 3*w wrt w.\nAnswer: 307192*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knxnnxnxdxni. What is prob of picking 1 x and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - 0.28. Let t = -60 - -59.71. Let q = r + t. Round q to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 z when three letters picked without replacement from {v: 1, r: 3, k: 2, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -99*h**3 + 234*h. Let q(f) = -f**3 + 2*f. Give -6*c(k) + 702*q(k).\nAnswer: -108*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 + -112. Let k = 513\/4 - l. Let j = 2.1 - 2. Sort k, 4, j in ascending order.\nAnswer: k, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*m = 54, l - 4*l = m + 81. Let t = l - -47. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33572 times 0.2203?\nAnswer: -0.073959116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -31*z + 46. Let w be o(-24). Suppose 46*b - w = -192. Calculate the highest common factor of 221 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/(g*(g*(g\/g**(-20\/9))\/g)\/g))**(-2\/57) assuming g is positive.\nAnswer: g**(-86\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + q + 3. Let f be s(-7). Let u = 28 - 14. Let c = -14 + u. What is the nearest to c in f, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(36)\/sqrt(2) + (-6*sqrt(128) - sqrt(8)).\nAnswer: -47*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69, 276, 621, 1104, 1725?\n\"Answer: 69*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10022*i**2 + 1163*i + 9243. Is p(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let h = -78715\/3 + 26238. Let g = -10 + 9.7. What is the closest to h in -8, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9170769 - 3*p - 9170769.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/570 and -173\/231420.\nAnswer: 231420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*b = -0 - 16, 2*b = -3*a + 12. Suppose a*v + 1 + 1 = -r, 10 = 5*v - 5*r. Suppose -2 + v = -u. Solve -4 = 5*f - 3*h, -u*f + 16 = 2*f + 4*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*j - 7*j + 2*l, 3*l + 6 = 3*j. Let i(s) = 2*s**3 + 5*s**2 + 7. Let n(d) = 2*d**3 + 6*d**2 + 8. What is j*n(k) - 5*i(k)?\nAnswer: -2*k**3 - k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/16))\/g*g**(-3\/4) assuming g is positive.\nAnswer: g**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-867)\/2312 - 45\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1275*d - 27014 + 48448 + 85666 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*t - 11*t + 4*t)*(-1082 + 656 + 629) to c + d*t and give d.\nAnswer: -7511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 27 - 2. Let l = -4 + w. Let n = l + 3. Solve 5*c - 36 = -n*v, 2*c - 16 = -0*c - 2*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0425959 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 91045 to the nearest 1000.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 3*l - l. Let t(m) be the first derivative of -m**2\/2 + 1. Determine t(o(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 14*h**2 - 12*h - 30. Let l be z(8). Suppose -3*j = 5*t - 31, 4*j - 16 = j - l*t. Which is the nearest to 1? (a) 0.1 (b) j (c) 2\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + o - 1 + 7, 3*o = 0. What is the highest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 19*g - 19. Let p be n(-6). Let j(s) = -12*s. Let a be j(4). Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-290)\/(-6)*630\/36. Let t(f) = -f - 824. Let y be t(0). Let l = y + u. Calculate the common denominator of l and 54\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 - -400 - (-726)\/(-10)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*m**3 - 156*m - 39*m**3 - 93*m**3 + 156*m.\nAnswer: -771*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22700, -22820, -23010, -23264, -23576, -23940?\n\"Answer: w**3 - 41*w**2 - 4*w - 22656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**8\/140 + 17*w**7\/350 - 17*w**5\/100 - w**4\/10 + 1010*w**2. Determine z, given that n(z) = 0.\nAnswer: -4, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - 0.23. Let s(j) = -j**3 + 10*j**2 - 5*j - 33. Let y be s(9). Let r(d) = 4*d - 10. Let g be r(y). Put 4, -0.05, g, u in decreasing order.\nAnswer: 4, g, -0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x)**(-4\/13))**28*(x*x**(-1)*(x*x*(x*(x*x\/x**4)\/x)\/x)\/x)**(-2\/31) assuming x is positive.\nAnswer: x**(4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, o: 5, v: 1, y: 1}. What is prob of sequence yffo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 3. Let v be q(-6). Let j(p) = -p**2 - 29*p + 315. Let x be j(9). Let l = x - v. Solve -z + 1 + 0 = l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. Suppose -30 = 3*p - 0*p. Let l be (4\/(-5))\/((-2)\/p). Put q, l, 4 in decreasing order.\nAnswer: 4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 6*t**2 + t + 1. Let w = -17 - -20. Suppose -5*h - 90 = w*p, -2*p = 4*h + p + 75. Let y be ((-6)\/h + -1)*-10. What is j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 4*f**2 - 2*f + 3. Let q(z) = 3*z**3 - 8*z**2 + 5*z - 7. Let l(c) = -5*g(c) - 2*q(c). Calculate l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8243, 16492, 24743, 32996?\n\"Answer: k**2 + 8246*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*t + 24. Let c = t + -14. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(2 - 4) - (74 + -13136)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 134, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/5 - 22326*u**2\/5 + 13864374*u - 65746719802\/5 = 0. What is u?\nAnswer: 2207, 6749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1565\/2817*(-12)\/(-5). Sort 2\/7, -0.5, -87, j, -0.4.\nAnswer: -87, -0.5, -0.4, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6467802 and 5247.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -66. Suppose 5*a + 5*a = 30. Solve -g + 1 = -a*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/15)\/6*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 - 9*y + 42. Give k(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -j, c - 4 = 4*c + 5*j. Let p(z) = -c - 5*z + 8 + 3. Is 8 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - -233?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/20637968 and -17\/160.\nAnswer: 206379680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:53 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**4 - 1415*p**3 - 502590*p**2 + 143604000*p - 143100000 = 0.\nAnswer: -318, 1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 317, 344, 433, 614, 917?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7777946686 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 309723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 35*o**2 - 90*o + 12. Give v(-38).\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {i: 5, r: 1, m: 3, c: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*h + h + 113 = 0, 2*a - 50 = 2*h. Suppose 0 = 2*c - a - 8. Let t = 21 + c. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 406*r**2 + 82418*r - 16730854\/3.\nAnswer: 2*(r - 203)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - i + 2*i - 36, 0 = -2*l - i + 16. Suppose 2*j + l*o - 9*o = 50, -3*o + 12 = 0. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.074793 from -497.7.\nAnswer: -497.774793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7985\/198 - 338\/9. Let s(v) = v**3 - 4*v**2 - 2*v - 3. Let n be s(5). Find the common denominator of f and (-89)\/n + (-3)\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.8 from 528.4795634.\nAnswer: 523.6795634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 18005480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.2 - -68.\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.893 and -1047.\nAnswer: 1981.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 - 7092*u**2 - 56528*u - 84720 = 0.\nAnswer: -1765, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6*o - 49 = 8*o, 0 = 9*t + 5*o - 88 - 37 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 + 806275*w**4 + w**3 - 5*w**2 - 4319*w - 192?\nAnswer: -120*w**2 + 19350600*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p - 338 - 64 = 39 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/7 + 720*n**2\/7 - 51678*n\/7 = 0.\nAnswer: 0, 99, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/25, -2\/7, 0.3, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 495 and 0.07?\nAnswer: 34.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157a392a + 4?\nAnswer: -157a3926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.81 - -6.91. Let w = -6 + n. What is the third biggest value in w, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*z + 10533 = -2125 + 382. Suppose -2*a - 124 = 74. Is a at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 7*u**2 + u - 2. What is h(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 2*b + 25, 5*i + b = 25. Suppose -9*f - o = -i*f - 1165, 2*f - o = 587. List the prime factors of f.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2554 + -2554. Is -2\/9301 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-882)\/(-4459)*(-15)\/60*4\/(-2).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibkiisbkiilkkiis. Give prob of picking 1 k and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15*n - 58. Give v(-13).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015825 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + ((-4)\/10)\/(12\/(-282695)). Let h = n - 9397. What is the common denominator of h and ((-308)\/40)\/((-2)\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 42 + 26*s**2 - 7*s**2 - 15*s + 9 - 17 - s**3. What is the hundreds digit of k(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451330.\nAnswer: 2, 5, 145133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b4a99 (base 15) in base 14?\nAnswer: -542d54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 - 6*c - 11. Let x(z) = -7*z**2 - 12 - 3*z + 2*z**2 + 2*z - 4*z. Let b(l) = -4*a(l) + 3*x(l). Give b(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243536+44\nAnswer: 243580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 788067 divided by 2?\nAnswer: 788067\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54*-1 - (-1425)\/7425?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (85 - 79).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -901239?\nAnswer: 360495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(-6 - (-65)\/10). Solve m - u = -5*w, -1 + 2 = w - 5*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 45*a**2 - a + 36. Let m be s(45). Let l = 20 + -33. Let u be (-2 + l\/(-2))*-2. Is m < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -475*r + 58. What is the thousands digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -674565*u - 8769350. Give z(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -888*j**3 + j + 2. Is a(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 0)\/(-3)*1. Let d = 38 - 27. What is the highest common factor of o and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:23 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(99) + sqrt(121)\/(sqrt(11)*3))*3.\nAnswer: 6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 25. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -3.\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j - 132 = 375 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 + -9) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1322856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5788*v + 5792*v - 5*a = 13, 2*a + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/5 - 10346*r**3\/5 + 51652*r**2\/5 + 144704*r\/5 = 0.\nAnswer: -2, 0, 7, 5168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332 + -311. Let x be (-27 - -2)\/((-2)\/18). Suppose 16*l = k*l - x. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. What is the second derivative of -4*c**5 - 175*c + 1 + 6*c**3 - c**l + 180*c wrt c?\nAnswer: -80*c**3 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 10, c: 2, p: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -191395382 less than -191395383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 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: What is the third derivative of -9*d**5*t**2 + 3*d**4*t*u**3 + 3*d**2*t**2*u**2 - 27*d**2*t*u**3 + 2*d*t**2 wrt d?\nAnswer: -540*d**2*t**2 + 72*d*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a - 8*a**2 - 6*a**2 + 2241*a**3 + 25*a + 53*a - 11*a wrt a.\nAnswer: 13446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379609469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/7 in 1\/4, 0.17, 0.4, 1\/3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32287 is divided by 3393?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 56 - 6*u + 1\/2*u**2. Give i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/120 + 11*z**4\/24 - 5*z**3 + 14*z. Let y(i) be the second derivative of m(i). Calculate y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 97*y - 44*y - 50*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -42*v**3 + 2*v**2 + 6*v + 9. Suppose -65*h + 3 = -i - 62*h, -2*i - 4*h = 6. List the prime factors of l(i).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 471030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1143*99.1.\nAnswer: -11.32713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13*119\/(-119595)*67*5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(14)\/(sqrt(126)\/sqrt(2)).\nAnswer: sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/10685 or 0?\nAnswer: 12\/10685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.21. Let f = 13.9 - 9.66. Let l = q - f. Which is the second biggest value? (a) l (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*(-3 - -5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.06 + -7. Let y = 3.9 + 32.1. Let o = y + -36.3. Which is the smallest value? (a) p (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose 2*m + v = -2. What is the units digit of -1 + (-1 - m) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -520139.203503765 - -520139.31. Let p = -0.1065 + r. What is p rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:06 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (805\/230)\/(2\/8*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 16*m**2 + 65*m - 89. Let p be x(-20). Is p < 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66331405 (base 7) to base 10.\nAnswer: -5705320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*s**2 + 3 + 7 to the form r + u*s + l*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7 or 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -1\/20*z**5 + 0 - z**3 - 5\/12*z**4 + 0*z**2 - 48*z. Let u(h) = 0. What is h?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/(-924)*(-3)\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 - -90?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -42*d**3 + 4*d**2 + 4. Let f(t) = 798*t**3 - 77*t**2 - 77. Calculate -4*f(i) - 77*j(i).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198.31 + -194.4081. Let h = 3.9 - r. What is h rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2 - 21\/2*g**2 + 15*g. Find the first derivative of s(c) wrt c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 20 = 5. Suppose m*z - 5*r = 190, 3*z + 5*r - 142 = r. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 38. Let c be 154\/(-33)*3\/2. Give b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1066129 by 1066129.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.8155 in -1, 2\/23, -0.09?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7029203, -7029204, -7029205, -7029206, -7029207, -7029208?\nAnswer: -7029209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46648285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose -4*r = 4*h - 366488, 5*r - 8*h = -6*h + 458103. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.868 - -3.768. Which is the third biggest value? (a) m (b) 2 (c) -676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 66. Suppose -4 + 16 = 3*j. Suppose p = r + j*n, 2*r = -3*r + 4*n + 165. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-77 + 112 - -2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Suppose 40 = 2*f + g + 4*g, -2*f + p*g + 40 = 0. Suppose -178 + 178 = 14*b. Solve d + 4*d + f = b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*r + 1981 = -418 - 2276 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 + 5. Let o be t(0). Suppose -7*z = -11*z + 192. Suppose -q + 52 = z. Solve 3 = -q*k + o*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let b(n) = -10*n**3 - 39*n**2 - 6*n - 3. Let k be b(-4). Let d(x) = 311*x**2 - k*x**2 + 114*x**2. Give v(d(q)).\nAnswer: 150544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -637\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 3280*p**2 - 3352*p**2 + 6635*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexttcx. What is prob of picking 2 t and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - 6*f**2 - 13*f + 13. Let t(l) = -l**3 + l**2 - l. Let a(s) = -b(s) + 2*t(s). Let w be (4\/6)\/((-18)\/162). What is a(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {z: 4, w: 1, g: 1, q: 1, o: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45530 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let x be -2 - 2*5\/w. Suppose 0 = 3*z - 5*t - 31, 3*t = x*z - 2 - 19. Calculate the greatest common divisor of 8 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 - 78*u**3 + u**2 - 2*u**2 + 0*u**2.\nAnswer: -70*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 4*s + 1. Let f(k) = 4 - 10*k**2 + 1 + 21*k + 1. Suppose 3*z + 1803 = 1836. Let l(c) = z*v(c) - 2*f(c). Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112) - (-2*sqrt(42))\/sqrt(6) - (sqrt(567)*-2 + 2 - sqrt(567)))**2.\nAnswer: -212*sqrt(7) + 19667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 - -473473624?\nAnswer: 473474363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126110 by 1.\nAnswer: -126110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -367 + 7. Let g = -28 + 59. What is the remainder when o is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 + -290. Solve -2*m - w = -8*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 + 7*o - 6. Let v be l(5). Suppose -8 = -4*h - 0. Suppose 5*f = v*g + 19196 + 4324, h*g = -10. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Solve -3*a + 5 = -t*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15748931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/21 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -34. Let a = -711 - -716. Solve -n - s + 1 = -5*n, -4*n - a*s = -q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 2 + 0 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3167579 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -23. Suppose -2*a - 4*q = -69 - 29, 2*a - 5*q = 53. What is the greatest common factor of a and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30500.50216 + -30488.9. Let v = k - 11.6. What is v rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -355, -3\/7, 2, -0.182?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.1196 (b) 0 (c) -1496\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spc when three letters picked without replacement from {s: 3, c: 4, p: 4, a: 1, u: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/61?\nAnswer: 10\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)*32\/4. Suppose -l - n*q = -5*q - 13, 3*l - q - 79 = 0. Calculate the remainder when 298 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(150) - sqrt(18)\/(sqrt(9)\/sqrt(3)))\/(sqrt(16)\/(sqrt(8) - sqrt(64)\/sqrt(2) - sqrt(8))) + 0 + 4.\nAnswer: -18*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29408 divided by 3676?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -278? (a) -0.4 (b) 3\/7 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3634 and -3.\nAnswer: -1.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2018194 and 24.\nAnswer: -2018170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114117, 228236, 342357, 456480, 570605?\n\"Answer: y**2 + 114116*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-51)\/3)\/17 + (-2)\/(-3). Put 1\/6, 0, 1\/3, r in decreasing order.\nAnswer: 1\/3, 1\/6, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1443, -8639, -30245, -63375, -108029, -164207?\n\"Answer: -5762*y**2 + 7204*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 5*u)*(-3*u - u + 5*u)*(3 + 14 + 0) + 3*u**2 - 2 + 2.\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 5*y**4\/12 + 960*y**2. Let a(u) = -4*u. Let n(q) = 5*q. Let o(w) = -6*a(w) - 5*n(w). What is o(v(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ulxdmcm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 5 - 10 - 640509*h + 672991*h to b*h + j and give b.\nAnswer: 32482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6760 - -6760. Which is smaller: p or -5\/3386?\nAnswer: -5\/3386","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 - 10*10\/(-900)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-1)\/(-5*3\/75)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-6)*1\/12.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/358513 and 3\/102323.\nAnswer: 2157889747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3680, -3689, -3696, -3701?\n\"Answer: f**2 - 12*f - 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21271*s + 106359. Calculate t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*i - 9 = 221, 3*x + 4*i = 167. Suppose n + 213 = -x. Let t = n - -561. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b + 0*b**3 - 7*b**2 - 29\/12*b**4 + 0. Let y(d) = 2*d**2. Calculate a(y(p)).\nAnswer: -116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g**2 + 8*g**2 - 12*g**4 - 3 + (-3 + 3 - 1)*(-5*g**4 + 2*g**4 + 2*g**4) + g**4 + 5*g**4 - 2*g**4 + g**2 - g**2 + 2*g**4 + 4*g**4 - g**4 - g**4.\nAnswer: -3*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-3 - -5) - 4*3\/(-12). Let s(d) = d**3 - 2*d**2 - 2*d. Let b(z) = -2*z**3 + 7*z**2 + 7*z + 1. Let x be (0 + 4)*(-28)\/16. What is k*b(j) + x*s(j)?\nAnswer: -3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = 3*x, -x - 15 = 2*g - 6*g. Put g, 1\/4, -1 in descending order.\nAnswer: g, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*w - 82, -5*g + 14 = -4*g + 3*w. Calculate the greatest common factor of 153 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**3 + 122*s**3 - 21*s**3 - 79*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31951\/16 + 1998. Calculate the common denominator of 101\/108 and n.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*c + 4*c. Let m be 20\/c*(0 - -2). Differentiate 9 - 1 - 2*j - m*j with respect to j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608 is divided by 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228) - -2*sqrt(228)) - sqrt(228))*-1)*4)\/(-2*sqrt(1452) + sqrt(12) - sqrt(96)\/sqrt(2)) + 3.\nAnswer: 8*sqrt(19)\/23 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/490*-7 + (-235)\/35 + -3. Let h(j) be the first derivative of -j**2\/2 - 4*j - 2. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*i + 817 - 807, -3*t + 50 = 5*i for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 683\/486, -0.3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3))**19*b**7*b\/b**5*b)**27 assuming b is positive.\nAnswer: b**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = h, 0 = -392*h + 390*h + j + 21. Let s(x) = -x**3 + 12*x**2 - 22*x + 17. Determine s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36094 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (13 - 96 - -59).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34 - 34 + 20*s**2 + 194*s + 68 + 164*s wrt s?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(63) + 5 - (5 + sqrt(14)\/sqrt(2))) + -3.\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*y - 119 - 241 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9871582?\nAnswer: 2, 7, 705113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 111*o**3 - 1344*o**2 - 5292*o.\nAnswer: -3*o*(o + 9)*(o + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631733537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 3. Let x(z) = 3*z + 10. Let r(c) = 11*k(c) - 4*x(c). Let o be 4*(0 - (1 - -1)). Let m be r(o). Which is bigger: -1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637633613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12\/11 + 59\/44. Is 1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -2. Let r(t) = t**2 + 20*t + 6. Let d(b) = -8*b - 4. Let m(u) = -6*u - 3. Let h(q) = -4*d(q) + 5*m(q). Let k(o) = 5*h(o) - r(o). Give k(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 339*t**2 + 4*t + 5. Let v be c(6). Let a be (-1)\/7 + v\/14924. Let f = 3\/41 + a. Is f not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66692777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6949 = 60*q - 3911. Let j(b) = -b + 34. What is the remainder when q is divided by j(-16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25*t + 10. Let q be z(4). Find the common denominator of ((-25)\/q)\/((-2)\/(-52)) and -31\/17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.82 rounded to the nearest 10?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 1\/2*z**4 + 0*z**3 + 5*z - 3\/20*z**5 + 0*z**2. What is the third derivative of t(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45576, 80968, 116358, 151746, 187132, 222516, 257898?\nAnswer: 293278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 896498907 to the power of 1\/3, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 13*b + 21. Let s be m(-14). Suppose s*c = 42 - 7. Find the third derivative of -3*i**2 - 8*i**2 - 5*i**5 - 6*i**2 - 3*i**c wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158135586?\nAnswer: 2, 3, 7, 727, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/55126 and 79\/5128.\nAnswer: 220504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 128\/68 - 24\/(-204). Suppose 5*q = -o*r + 894 + 253, 4*r - 2309 = 5*q. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267992178 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.2 - 8.199842. Round f to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 19*d + 93. Let f be w(-13). Does 65\/4 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - 20. Is f\/45 - (-2639)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*y - 4 + (-3*y + 0*y + 2*y)*(1 + 1 - 4) - 34*y + 7*y + 14*y)*(-y**3 + y**3 + y**3).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 15 - 8 - -745153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 281*b - 7285. Determine f(29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -9 - (11 - 8 - 48) - 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 2*f**2 + 41*f**3 - 10*f**2 to the form j*f + l*f**3 + k + q*f**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*a + 1140*a + 1315 = 2449 + 22386 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*d = 18, 2*d = 5 + 3. Solve -5*z = v - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2461590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 29114 divided by 1\nAnswer: 29114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 41*q - 11*q.\nAnswer: -49*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/14*-27 + (-19)\/133.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -1881, -4250, -7577, -11868?\nAnswer: -17129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31191 + 2*u**2 - 206*u - 29*u + 32692 wrt u?\nAnswer: 4*u - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.01 (c) 0 (d) -1\/2 (e) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5)*(-7 + 22\/11). Let l = 2\/3 - 1\/3. What is the nearest to l in 0.5, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56\/11 (b) -4 (c) 2 (d) 43\/80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j. Suppose -5*b + 0*b = -5. Let d(h) = h**2 - 10*h. Let v be d(10). Let w(f) = v + 6*f + b - 1. Give s(w(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*x**3 - 15*x - 100*x**3 + 178*x**3 + 15*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/188 and -101\/33558.\nAnswer: 67116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 0.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:24 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 198222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a = -69*a + 6. Let y be (5 + 0)\/(5\/(-60)). Let g be (4\/a)\/((-8)\/y). Solve 2*w + 0 + g = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 100 = 6. Suppose -2*s = -0*s - 8, -p = -3*w - 2*s. Suppose -2*m = -6*m - 20, -4*v - 9 = 5*m. Solve -v*g + w = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -132 (b) -2\/5 (c) -13 (d) -10 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -54991 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1167521? (a) 1 (b) -0.3 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-21 - -4) + -13) - 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndofnfwddonfddo. What is prob of sequence onno?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-1464)\/(-108) + 80\/(-180).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2 + -6)*-1. Let r be 9\/((-315)\/(-518)) - (-1)\/5. Suppose 2 = 5*t + 2*g - r, -3*t - 5*g = 5. Solve 0*k - y = t*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(-2 - 741\/(-369)). Let r = -38 + x. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 9*n + 2. Calculate b(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -2*x**3 + 3*x. Let o(h) = 9*h - 8. Let j(c) = -6*c + 6. Let u(m) = -4*j(m) - 3*o(m). What is u(l(y))?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/248 and 71\/44.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1626932697 to the nearest integer?\nAnswer: 40335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y - 5. Let k be (7 + 3)\/(-2) + 0\/1. Let v(c) = -4*c + 10 - c - 1 - 7. Let r(q) = k*v(q) - 2*o(q). Let s(m) = -3*m**2. Give s(r(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*b + 5 + 4*b + (4 - 2 - 3)*(2*b - 5*b + 5*b) + 11*b + 49 - 49.\nAnswer: 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 60. Let v be a(21). What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -125*z + 5. Let a be w(-5). Suppose 5*o - a = -0*o. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.8. Let v = 100 - 72. Suppose -17 = -9*k + v. Sort k, -5, q.\nAnswer: -5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 18*r**2. Let u(i) = 8*i - 221. What is x(u(f))?\nAnswer: 1152*f**2 - 63648*f + 879138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 2*y, i - 5*y + 10 + 6 = 0. Calculate the highest common divisor of i and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 136*n**2 + 15*n - 12. Let d be ((-105)\/(-14) - 4)\/((-2)\/4). Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*r - 61*r + 10193 = 666*r - 28867 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 51\/4. Find the common denominator of 95\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478491 is divided by 388.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913 divided by 70?\nAnswer: -1913\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -4*u + 16, -2*u + 4 = -2*p. Let z be p\/((-54)\/33)*-6. Suppose -2 = -13*m + z*m. Solve -n + m = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.33 + 0.83. Let b = -25 - 7. Let p = -31.96 - b. Sort 2, n, p in decreasing order.\nAnswer: 2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 68*y + 470 = 155, 0 = 2*q + 2*y + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73.42588ml?\nAnswer: 0.07342588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - s = -420. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240 - -240.98. Let w = q + -0.58. Let o = 3 + -4. Which is the biggest value? (a) o (b) w (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884992, -1770023, -2655090, -3540193?\nAnswer: -4425332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1411842735 rounded to six decimal places?\nAnswer: -0.141184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 5*p**2 + 1\/45*p**3 + 1\/450*p**5 + 12*p + 0 + 1\/90*p**4. Let z(n) be the first derivative of k(n). Factor z(i).\nAnswer: 2*(i + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 2*u**2 - 5*u + 3. Let x(y) = -y**3 + y**2 - y. Give v(l) - 3*x(l).\nAnswer: 2*l**3 - l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - -21. Suppose -3*h + 3 = -x. Suppose 0 = o - h - 7. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4373 and 1344636.\nAnswer: 1349009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.48 + 45.68. Let o = 2 + 0. Which is the closest to -3? (a) p (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.06, -1\/69, -13.257?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/75 - f**5\/50 + f**4\/30 + f**3\/15 + 17*f. Factor h(k).\nAnswer: -2*k*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4052, 8161, 12270?\nAnswer: 16379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32471151 rounded to 4 dps?\nAnswer: -4.3247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 2.8, 289, 15, 0.5, 5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.2044 grams in nanograms?\nAnswer: 475204400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2236 - -2286. What is the least common multiple of (-3)\/(3 + 45\/(-12)) and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/7 - (-389)\/7. Let m = z + -47. Solve 29 = 5*o + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*y**2 + 8844*y**2 + 8762*y**2 + y + 50066*y**2.\nAnswer: 68245*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278657*-0.4.\nAnswer: -111462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:43 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**10*c**(-2\/55)\/c)**(-42))**(-5\/7) assuming c is positive.\nAnswer: c**(3618\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 120\/80 + (-1)\/(40\/(-114)) and 75\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -47. Calculate the least common multiple of v and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 132 = 5*s. What is the second smallest value in -2\/7, s, 0.4, 13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t + 78*t - 1378 = -461*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413132659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g + 11. Let b be k(-12). Let x be b - 2*2\/(-4). Suppose m = -x*m + 11. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -113 + -3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -7. Let h be y\/(-5)*(-1092)\/8. Suppose 0 = -0*d - 3*d + h. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n + 45*n - 97*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 49*u + 75. Let n be w(26). Let x be (-1020)\/(-306)*(3\/(-2) - 0). Put x, 4, n, 3 in descending order.\nAnswer: 4, 3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 390*n**2 + 3*n - 390 = 0. What is n?\nAnswer: -1, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -5, -2\/9, 0.2, 16\/5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, -2, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -31*g + 6. What is b(-2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 1. Let s be x(-2). Solve 4*n - 12 = 0, 2*a - s*a = -n - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-252))\/((-5)\/(-30)) - 232\/(-273). Let k = -3407\/2821 - 5\/217. Let p = u + k. What is the second biggest value in -12, p, -2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -973 + 1021. What is the smallest common multiple of n and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 19*g**2 + 19*g**2 + g)*((0 - 8 + 1)*(-g + 3*g - g) + 2*g - 4 + 4)*(-49*g + 47*g + 33*g).\nAnswer: 155*g**5 - 155*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 228044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 15, -4 = -4*g - 0*g - 4*y. Let a be (9\/6)\/((-3)\/(-10)). Suppose 0 = a*z - 5 + 15. Which is greater: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6303, 12743, 19193, 25659, 32147, 38663, 45213?\nAnswer: 51803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.017926+-5\nAnswer: -4.982074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.76974 nanometers in micrometers?\nAnswer: 0.09176974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(2\/9))\/t**(2\/5)*((t\/t**0*t*t)\/t)**33*((t**1)**(-2\/89))**(3\/4) assuming t is positive.\nAnswer: t**(543121\/8010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, -4757, -19564, -48431, -96044, -167089?\nAnswer: -266252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2423892 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*(-18)\/(-1). Suppose -8 = -5*s + q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -11*d**3\/6 - 4*d - 1. Let t(q) = -2*q + 1. Let r(z) = 4*z**2 - 12*z + 6. Let j(x) = -r(x) + 6*t(x). Determine f(j(g)).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4 - (0 + 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 6. Let z be m(6). Suppose z = -j + 7 + 5. What is the units digit of ((-4)\/j)\/(2\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from {j: 10, m: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 927763128 a multiple of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135202 - 41*c + 87*c - 135193 to the form g + i*c and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 112 = -14*l + 6*v + 3*v, 0 = 5*l + 4*v - 2 + 26 + 59 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190 and -378.\nAnswer: 71820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 11*p**2 - 8*p + 20. Let z be x(-10). Let r(d) be the second derivative of -1\/6*d**4 - 1\/3*d**3 + z - 3*d + 0*d**2. Factor r(y).\nAnswer: -2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.4161 microseconds to minutes.\nAnswer: 0.000005006935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371275 is divided by 520.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*2\/1*1842\/(-24). Let i = v + 12929\/6. Is 5 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + 2*y**3\/3 - y**2 - 4*y. Let n be g(-3). Let q(z) = -z**2 - 7*z - 2. Is 4 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + 2*y)*(1 - 7*y - 2 + 9*y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**3 - 2*m**3)*(3*m + 2*m - 6*m)*(-27 - 245 - 5).\nAnswer: 554*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z + 3. Let s be i(-2). Suppose -2*r + 2*u + 4 = -r, 0 = u + s. Let p = 1 - 0. What is the nearest to p in -0.1, r, -1\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 20*i + 33. Let t(c) = -c**3 - 5*c**2 - 28841*c + i - 1 + 28836*c. Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m*m\/((m**(-2)*m)\/m)*m))\/m)\/m)\/m**(-7)*m\/(m\/m**(-7))*m\/(m\/(m*m*m**(-7))))**31 assuming m is positive.\nAnswer: m**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 973043 and 0.563 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/252)\/((-10)\/18)*(-10)\/6. Which is the nearest to d? (a) -1\/212 (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1958 + 1958.2. What is the closest to 2 in -2\/25, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 4*d**4 - 6*d**4 + (-263*d + 263*d + 42*d**2)*(d**2 - 3*d + 3*d).\nAnswer: 41*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1769 = 11*y - 2011. Solve 2*h = -4*w + y, -14 = 5*w - 3*h - 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 2, s: 1}. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329 - 472. Is w bigger than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 410 - 275. Let x(f) = -2*f**3 - 4*f**2 - 2*f - 9. Let q be x(-3). What is the highest common factor of q and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6 (b) 0 (c) 5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9504813 - 9504813 + 3*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1, -319, 2 in increasing order.\nAnswer: -319, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1.24, -5\/7 in decreasing order.\nAnswer: 12, -5\/7, -1.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cae + 2ad?\nAnswer: -1a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1444*z = -1398*z - 5842. Suppose 2*r - 132 = -r. Suppose -r - z = -9*f. Calculate the remainder when 54 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57957181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, k: 2, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**3 + x**2 + 25*x - 9. Let v(u) = -10*u**3 + 2*u**2 + 26*u - 11. Let w(h) = -5*r(h) + 4*v(h). What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssjs. What is prob of picking 2 j and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 76 - 78 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = 0, 0 = 20*z - 16*z + 2*n - 10*n - 48. Let p(m) = -m**2 + 7*m + 4. Let s be p(6). Solve 4*q - 10 = i, q = -2*q + z*i + s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/60 + c**4\/24 + c**3\/6 + 2*c**2. Let y be f(-1). Suppose -3*n = y*n + 15. Is -2\/7 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b98 - -3?\nAnswer: -5b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 1, r: 6, k: 8, a: 2}. Give prob of sequence kr.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221953 - 221689 = -22*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + (4 - -2 - 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxabbaabbbx. What is prob of sequence bbx?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -39116, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26194322*q**2\/3 - 5356120*q + 821400.\nAnswer: 2*(3619*q - 1110)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 0 + sqrt(4400) + 2 + -1*sqrt(4400))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12*a + 241 = -b, -b + 3 = 0. Suppose a = 4*w - 238. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 293*n**3 + 307*n**3 + 2 + 0 - 558*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -237, -468, -699, -930, -1161?\n\"Answer: -231*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/5, 1\/4, 3, 6 in descending order.\nAnswer: 6, 3, 0.3, 1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -22?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1727 equal to -1721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 25*c - 16. What is the smallest common multiple of u(-24) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*q = -30658, -2*q - 8020 = -2*s + 7330. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z - 2*j, 3*z - 4*j - j = 11. Suppose -2*s = -4*x - 14, 2*x + z*x = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 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: Suppose -13*x - 733 = -2475. Let k = x - 132. Suppose 4*m = 4*o, 0 = -4*m + o + 4*o - 3. Solve 0 = -u - m*v + 12, -k*u = -v + 3 + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16336390699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -902, -1480, -2272, -3278, -4498?\n\"Answer: -107*j**2 - 257*j - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s - 2*s = -70851. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - 4\/(-3))*-6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4335298 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -864168*i - 222147?\nAnswer: -864168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29258323 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -0.3.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v - 3 = -5*m - 35*v, -3*v = -3*m + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*d - 126, z = -0*d - 3*d + 24. Suppose 0*a + 22 = 2*a. What is the greatest common factor of z and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -2 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 30*n**3 + 72*n**2 - 66*n + 21 = 0. What is n?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*d - 26102, 3*j + 2*d = 20117 + 6005. Calculate the greatest common factor of j and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmmmxx. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14*w - 15. Calculate the remainder when f(11) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5265413 millimeters in meters?\nAnswer: 0.0005265413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32679*k - 324 = 32652*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35412 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26410*q + 36378 = 25987*q for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*j + 17*j. Suppose 0 = -4*c - j*u - 5*u + 1583, 4*c - 3*u - 1623 = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*z + 152 = z, 302 = 4*l - 2*z. List the prime factors of l*((-4)\/(-16) - (-425)\/60).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.9 + -8. Let u(g) = g**2 + 3*g. Let o be u(-3). Which is the closest to o? (a) 1 (b) -4\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 182*w - 1437*w + 144265 = 1754*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((3 - 3) + -1) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -53, -3, 0, 4 in decreasing order.\nAnswer: 39, 4, 0, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:28 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -2*b**3\/3 + 53*b**2\/2 - 23*b - 318. Let t be z(24). Which is smaller: 96 or t?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 2, o: 1, w: 1, n: 2, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2520763*q**2 - 2554932*q wrt q.\nAnswer: 5041526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18027 + -7b4?\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8748 and 648.\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 12 = 4*k - 3*q, 0 = 2*k + 4*q - 12. Let p = 1033 - 729. Suppose 4*f + 16 = 0, k*d - 5*f - p = -126. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 12 - (4 - 29). Put 2, 3, 5, 4, t in increasing order.\nAnswer: 2, 3, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (9 - (5 + -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 13. Let s(u) = u**3 - 2*u**2 - 6*u - 4. What is the tens digit of s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.831752 millennia to centuries.\nAnswer: 48.31752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/36 + (3 + -8 - -4). Let l = 0.8 + 5.2. Let j = 14 - l. Do m and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 2224 + 2164 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*h = -28, h + 20 = -2*d - 0*h. Let a be -4 + -57*3\/d. Let t(c) = c - 13. Let l be t(a). Solve -l*x = -3*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 1572*d**2 + 211125*d - 209550 = 0. Calculate d.\nAnswer: -635, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 0*s)*(s**2 + 0*s**2 + s**2) + 0*s**3 + 0*s**3 + s**3 - s**3 + 2 - 2 + (4*s + s**2 - 4*s)*(0*s + 2*s - s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let r(o) be the second derivative of -3*o**5\/20 + 5*o**3\/2 + 15*o**2\/2 + 115*o. What is 15*l(d) + r(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.833223*-5\nAnswer: -14.166115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 379 + -382. Which is the biggest value? (a) -2\/7 (b) 0.09 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62599403 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 123144316?\nAnswer: -123144317.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/60 - n**4\/4 - n**3\/3 - 38*n**2. Determine t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.007 (b) 26 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s + 124. Let j = 210 - 218. Let d be p(j). Solve -t = -d*h + t + 6, -4*t + 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-10))\/((-7)\/665). Let h = 70 - f. Calculate the least common multiple of h and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -16, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1485 and -47\/1699830?\nAnswer: 5099490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-60)*-1*(-80)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m - 3. Let a be d(3). Suppose 2*g + g - a = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:21 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8492, 17025, 25592, 34193, 42828, 51497?\nAnswer: 60200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-10)*24\/10 + -6. Suppose 29*y - 14*y - 11325 = l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-6)*(-2468)\/3085\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + y + 1000 = 0, -2*i - y = 3*i - 1250. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 15) in base 12?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7318980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 - 44 = 0. Suppose 3*h = -2*h. Suppose h = q - 3. Solve -8*b + f = -q*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6b88 + 3?\nAnswer: b6b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 13*a\/5.\nAnswer: a*(a + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8329779 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrrrdrrrrrrrr?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -1947.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = q - 9, 0*x + 3*x = -q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -j + 3. Let g be 3\/(-4)*(-4)\/18. Which is the nearest to 1? (a) 0.2 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2834713 + -5?\nAnswer: 2834707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -857 + 856.9469. Let z = s + 0.05. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 29648411?\nAnswer: 29648404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 7*h - 423 = -396, 3*h - 3 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -254.27 times -159\nAnswer: 40428.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - l = 0, 25*k - 14 = 20*k - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 27. Suppose 4*v = 3*v + k. Let f = 60 - 28. What is the greatest common divisor of f and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7425600 and 63546?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(324\/24))\/(4\/4))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 + 27 = 0, 6*i + 2*w - 464 = 0. Solve i*y - 72*y = 5*v - 35, 0 = -3*y - 2*v - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + s**2 - 3. Let w(t) = 10*t**3 + t**2 - 5. Calculate -5*n(m) + 3*w(m).\nAnswer: 5*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 32. Give r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3347*-2\nAnswer: 6694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -454454 (base 7) in base 9?\nAnswer: -132802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w + 0 + w**4 - 7\/8*w**3 + 1\/4*w**2 - 3\/8*w**5 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3078, -6542, -10438, -14766?\nAnswer: -19526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(630)\/(sqrt(30)\/sqrt(3)))\/(2*2*sqrt(324))*-4.\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -495\/4, 3, -0.5, 4, 105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10022, 19099, 28186, 37283, 46390, 55507?\nAnswer: 64634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5 - 2 - -92 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1031, -28202?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673*v - 269310 = 626*v. What are the prime factors of v?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = -3, -u + 5*t = 20. Let j = 3 + u. Is 22 a factor of 1*(j + (62 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1 - 78)\/(-2). Suppose -4*u - 4*l - 8 = -84, -z = -2*u + l. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 268*m - 264*m - 12, 0 = 5*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/7)*c)\/c*c*c**(4\/7))\/((c*c**3*c)\/c*((c\/(c\/c**(-11\/2))*c*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/3 + 497*l**2\/3 + 62000*l\/3 + 61504\/3 = 0.\nAnswer: -248, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -3*o**5\/20 - 71*o**4\/6 + 300*o**3 - 2*o + 172. What is the second derivative of p(n) wrt n?\nAnswer: -18*n - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + n + 5 = -2*n, -3*d + 3 = -5*n. Let u = 1010\/7 - 144. Is u less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oovooooovoooggogoo.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4956*(-6)\/8*3160\/474 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-891)*-22)\/((-2)\/(-54))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.746 + -3.986. What is the nearest to w in 0.3, 1\/5, -34?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -86 (b) 3 (c) 6\/5 (d) -0.1 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:55 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, 4.\nAnswer: -4, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**2 + 0*f)*(-f + 1 - 1) + 0*f - f**3 + 0*f + (f - 3*f + f)*(8*f + 0*f + 9*f)*(0*f + f + f).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 17269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 25 = -3*u, b + 12 = -3*u. Solve 4*p - 5*p - 5 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let p be (u\/4)\/((-3)\/2). Let i = -11.7 + 12. Sort i, p, 2\/5 in descending order.\nAnswer: 2\/5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -179*h - 12. Let k(j) = 177*j + 3. What is 3*k(y) + 2*w(y)?\nAnswer: 173*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 33 = 11*m + 3*j, 4*m - 3*j - 21 = 0. Suppose m*v - 235 + 97 = 0. What is the remainder when 136 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r - 21. Let j = -26 + 37. What is the remainder when f(5) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 1. Let s(a) = a**3 - 14*a**2 - 6. Calculate 9*c(v) + 2*s(v).\nAnswer: 2*v**3 - v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3552865267 to the nearest integer?\nAnswer: 59606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 12*f - 5*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 34*u**5\/7 + 163*u**4\/7 - 1648*u**3\/7 - 3301*u**2\/7 - 48*u + 1188\/7 = 0.\nAnswer: -9, -22\/17, -1, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.028 + 0.028. Let z = w - -71.959. Let a = z - -0.04. Round a to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/4 + 8343*d\/4 - 4173\/2 = 0. Calculate d.\nAnswer: -2782, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(252) - sqrt(252)*-1))\/(sqrt(12)\/(sqrt(3)*1)*1) + -4.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/7 in -1\/3, -3, -800?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k)\/k)**(-1\/29)\/((k*k**(1\/4))\/(k\/(k\/k**(-3\/8)*k))) assuming k is positive.\nAnswer: k**(-633\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -1339, -2009, -2679?\nAnswer: -3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45054 is divided by 4500.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-50)\/48)*-5. Let n be -15 - (0 + -1 - -2). Let u = n + t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n - 13. Let u(o) = 2*o + 17. Let d(t) = 10*t + 86. Let s(p) = 3*d(p) - 16*u(p). Let v be s(-7). Suppose v = g - 6*g. Give q(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 10*i - 12*i + 5*d, 0 = -5*i - 2*d - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/14)\/(9*12\/(-378))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -14. Let d(v) = 6 - y + 2*v**2. Let s(f) = -2*f. Give s(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/120 - 2*n**5\/15 + 7*n**4\/24 - 3*n**3\/2 - 19*n**2. Suppose -5*x + 9 = -6*x. What are the prime factors of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/4 - 1911*o**2\/2 + o\/4 + 1911\/2 = 0.\nAnswer: -3822, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u. Let h(i) = -13838903*i**2. Give f(h(g)).\nAnswer: 83033418*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - -0.37. Let p = 0.6 - j. What is the nearest to p in 0.4, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -128 - (0 + 17 + 1668 + -1706)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {b: 1, p: 1, d: 9, x: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*408\/170 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 65*p**2 - 31528*p + 1447. Give v(485).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.219 + -0.081. Which is the closest to -1? (a) n (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -84. Let y be ((-184)\/(-12) - 2)\/((-48)\/144). Is y at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 275, 253 in descending order.\nAnswer: 275, 253, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(78)*3)\/(2*sqrt(294)*-1) + 1.\nAnswer: -3*sqrt(13)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/7))**34)**(3\/5))**(-2\/23) assuming w is positive.\nAnswer: w**(-1224\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -43. Suppose 4*q = -u - 4*u + 59, -4*q - 2*u + 74 = i. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 16. Let w = -17 - f. Suppose d + 3*d - 3*g - 60 = w, -d + 2*g = -15. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 143910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3281 - -5962. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -29. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14544184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.5899107 - -19.59. Round y to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 7020*t + 227712 = 0.\nAnswer: -2372, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 - r. Let v be c(-1). Suppose 0 = -2*a + 61 - v. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369946016 a multiple of 2326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429)\/135 + 3 - (-6)\/(-27)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-154) - (-2)\/7)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 292\/(-114) + 2 + 10 + 3072\/(-304)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -52*j**6 - 55*j**2 - 5*j + 5. Let r(k) = -78*k**6 - 83*k**2 - 8*k + 8. Let b(d) = 5*r(d) - 8*v(d). Find the third derivative of b(l) wrt l.\nAnswer: 3120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, x: 1, w: 1, j: 4, d: 3}. What is prob of sequence dw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19*3 + (4 - 11 - (-7 + 10 + -4))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-4)\/(-3)). Suppose -3826*n + 1084 = -4097*n. Which is the nearest to -3? (a) -3 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7*g + 2*g + 3*g)*(-3 + 4 + 0) + 2*g - g - 6*g)*(-12 - 7 - 1) to the form j + z*g and give z.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 1747*g**7\/42 - 1367*g**3\/6 - 3*g - 325. Find the second derivative of a(h) wrt h.\nAnswer: 34940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109, 118, 139, 178, 241?\n\"Answer: x**3 + 2*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*x - 2103, -3*m - 498 = 4*x - 1754. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - a = 39, -j + 6*a + 23 = 2*a. Let d = -5 + j. What is the second derivative of -2*o - 4*o**d - o + o wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + f - 16 = 4*f, 0 = 5*x + 2*f - 2. Let p be (55\/(-25) + 1)\/(x\/(-10)). Suppose 0 = -p*g + 53 + 139. What is the remainder when 127 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-27)\/(-85) + (-20)\/170)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = -15, 3*n = 4*q - 4. Let s(y) be the third derivative of -y**5\/60 + y**4\/8 - 7*y**2 - y. Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90b + -b?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 - -147. Suppose 0 = -3*v - 4*g - 58, -17 = 5*g + 3. What is the hundreds digit of x - v\/12*-2*-45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**2 + 11 - 11.\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-9))\/(8\/(-12)). Let o(j) = -j - 7. Let b be o(-5). Sort b, v, -3 in descending order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*n + 42589 - 118714 = -244*n for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 - 6*p + 4. Suppose 0*v = -2*v - 38. Suppose -2*g = -16*g + 350. Let z = v + g. What is h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 9*d**2)*(-2*d - 5*d - d).\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/3 - 11. Let k be (-9)\/6*-4*1. Let n = 3788.1 - 3788. What is the second smallest value in n, t, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.08 (b) 4 (c) 3 (d) -953\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q**(-14)))\/q*q)\/q*(q\/((q\/q**9)\/q))\/q)**(10\/9)*((q*q**1)**(-31))**(3\/2) assuming q is positive.\nAnswer: q**(-209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133.767 - 0.233. Let p = l - -134.00091. What is p rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 1488783*d**3 + 4466376*d**2 - 12*d - 5955168 = 0. What is d?\nAnswer: -496264, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*((-78)\/18 - -3). What is the remainder when 33 is divided by 812\/49 - ((-12)\/(-14))\/i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/10 + 13*g**4\/12 + 3*g**3\/2 + 9*g**2\/2 - 21*g - 14. Let k(h) = h**3 - 6*h**2 - 4*h - 4. Calculate 4*f(r) + 9*k(r).\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 1202 = 151. Let w = h - -353. Does 55 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18781, 150125, 506623, 1200847, 2345369, 4052761, 6435595, 9606443?\n\"Answer: 18762*t**3 + 5*t**2 - 5*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + 0 + sqrt(7)) + -3)**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -2 + (47 - 67) + 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376*-12.\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15757468, 31514940, 47272416, 63029896, 78787380?\n\"Answer: 2*v**2 + 15757466*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -3\/5, 0.3, 4, -22, -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -140 - 4*b**2 - 6*b**2 + 9*b**2 as z*b + o*b**2 + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 5 + 4 - 65*l**3 - l as a*l**3 + y*l + u + i*l**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/2 of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -76404 and 32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -0.2 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182946214*c + 300310953?\nAnswer: 182946214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2 - 21) + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/(sqrt(4)*2) - sqrt(16)\/(sqrt(8)\/sqrt(4)))\/(-6*sqrt(20)\/(sqrt(15)\/(sqrt(3)*-1) - sqrt(5))))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239266134 is divided by 4621?\nAnswer: 4617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose m + 0*m = -s. Let p = 2859 + -2865. Do m and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*m*y**4 - 287*m + 25*y**5 + 27*y - 1 wrt y?\nAnswer: 1584*m*y**2 + 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/10)\/((-12)\/(-88)). Suppose -5*h - 4*l + 65 = 0, 5*h = 2*h + 5*l + 39. Is h greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531674 is divided by 783.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from allaltttttatl?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -3475?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 4, h: 5}. What is prob of sequence bhll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -a + 2397, a + 64*i = 66*i + 2394. List the prime factors of a.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 43. Differentiate 0*o**3 - 2 - 2*o**3 - w*o**3 wrt o.\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let u(p) = -10*p + 3. What is -4*s(j) - u(j)?\nAnswer: 14*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1957050.3 to the nearest one thousand.\nAnswer: -1957000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:04 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from bbbbbtbbbtbbbl.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 9 = -a + m, -a - 1 = m. Let i be (-2 - a)*1*1. Let s be 1 - i\/(-3) - 0. Solve -5*h - 5*n = 20, 0 = -h - s*n + 3*n - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*m = 93*m + 123*m + 1764 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 + 1 - (5 - (12 + -4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5821\/6120 + -4\/153. Let o = -178733\/423360 - -2\/6615. Calculate the common denominator of g and o.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142.445 + 18465862.\nAnswer: 18465719.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85744043 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -1\/8*i**5 - 11*i + 0*i**2 + 2\/3*i**3 + 0 + 1\/8*i**4. Let u(b) be the second derivative of a(b). Differentiate u(t) wrt t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14058, 28236, 42430, 56646, 70890?\nAnswer: 85168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**8\/2184 - 41*t**7\/1365 - 43*t**6\/260 - 131*t**5\/390 - 11*t**4\/39 + 323*t**2. Solve o(u) = 0 for u.\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3317 - -3312. Which is the nearest to 1\/5? (a) s (b) -6\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -423, -5, -2, -766 in ascending order.\nAnswer: -766, -423, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3\/4. Let h(r) be the first derivative of -j*r**3 + 1\/2*r + 5\/8*r**2 - 1. Determine t, given that h(t) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -114. Solve 4*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*b + 15, -38*b + 42*b + 15 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + -11)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**2 - 9\/100*y**5 - 7*y - 1\/50*y**6 + 0*y**4 + 2 + 2\/5*y**3. Suppose j(c) = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/5 and 65\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/54655906 or -1?\nAnswer: -1\/54655906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -15454378396557?\nAnswer: -15454378396555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*k**3\/11 + 46*k**2\/11 - 38*k\/11 + 10\/11.\nAnswer: -2*(k - 1)**2*(9*k - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h + 2*h. Let s(v) = -v**3 + v**2 + 2*v - 42. Let u be s(0). Let g = u - -77. What is the highest common divisor of h and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 2*x, -6 = -x - 2*z - z. Suppose -3*n - 36 = -3*d, n - 9 = -5*d + x*d. Let v(q) = 2*q - 8. List the prime factors of v(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2. Let w(s) be the third derivative of s**4\/24 - 4*s**2. Calculate j(w(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 - 11110011000010011?\nAnswer: -11110010101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 1, -v = -2*u + 8. Sort u, -2, 10 in increasing order.\nAnswer: -2, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114817*a**3 - 242*a + 242*a.\nAnswer: -114817*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/51*(4 + (1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275400 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.63018 - -22.79?\nAnswer: 24.42018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/(-15 + 12))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87265159.40000259 + 87265160. Let c = 0.6 - n. What is c rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -3, -1, 0 in ascending order.\nAnswer: -3, -1, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35914141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -411769, -21, -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 15540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103037971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 2*r. Suppose -r + 1 = -m. What is the remainder when 35 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*66\/264*15. Solve -4*i = -h - 17, -20*h - 21 = -19*h - x*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 4. Give o(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/37950713 and 27\/5?\nAnswer: 189753565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 20*s + 6. Determine x(10).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.99061 to one decimal place.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08933 + -0.089336199. What is i rounded to 7 decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + (4\/(-8))\/(2\/1930636). Round z to the nearest one thousand.\nAnswer: -483000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9)\/(n*n*(n**(-11)\/n)\/n))**(-3\/16) assuming n is positive.\nAnswer: n**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8432 = -4*d - 1268, 3*d + 9705 = 5*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/91 less than 44246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14731, -32188, -49635, -67066, -84475, -101856, -119203, -136510?\n\"Answer: n**3 - n**2 - 17461*n + 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264 not equal to -1\/177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-42 + (-37827)\/(-1782))?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 5*o = -10, -4*w + o = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 - 169 = 2*p - 4*j - 382, 5*p - 4*j - 63 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 3*t**2 + 36*t - 15. Let v be p(-6). Suppose -2*k + k + 11 = v. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 106 = -4*x, x = -x - v + 52. Suppose 5*k = 4*i - 47, 3*k = 5*i - i - x. Let w = k - -4. Which is smaller: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524 + 1305 - 60*v - 781 + 55*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 400*b + 89. What is the tens digit of z(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.9 - 0.1. Let u = 72582.9994 - 72575. Let h = j + u. Round h to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2673, 10960, 24863, 44382, 69517, 100268?\n\"Answer: 2808*m**2 - 137*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfjyfvfjtfvftzzfvf. What is prob of picking 2 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -8*a + 298 + 570. What is the greatest common divisor of 33659 and a?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. Suppose 3*w - 27 = -3*q, 0 = q + 7*w - 12*w + 15. Let l be (-2)\/10 + (504\/45 - q). Solve l*h + 3*v + 12 = c*h, 0 = 5*h - 3*v + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11425 or 11426?\nAnswer: 11425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 25, 48, 79, 118, 165, 220?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/37, -218.6, 2\/23, 3?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*x = -29, -x - 4 = -3. Solve 6*d - r*d = 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 16. Let z be (-21)\/42*3\/(15\/(-394)). Let x = z - a. What is the second smallest value in 1, 0.8, x?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.64 - -0.04604.\nAnswer: -16.59396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3104?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1101000000?\nAnswer: -1101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.034 + -0.966. Put l, -4\/3, 3.3 in decreasing order.\nAnswer: 3.3, l, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769265.\nAnswer: 5, 7, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 305, 520, 735, 950, 1165?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, -182, -2 in increasing order.\nAnswer: -182, -2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 118 = 2*d, -52 = -d - 5*z - 5. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 35. Let r be s(17). Which is the nearest to r? (a) -5 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.02304.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(420))\/sqrt(10)*6)\/(-6*(4*sqrt(726) - sqrt(726)) - sqrt(726)))**2.\nAnswer: 4032\/43681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2196*n + 155856 = 2230*n. Is 285 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*p + 128. Let r = 17 - p. Calculate the remainder when 7 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148668830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = 182*i + 74*i - 318052. Calculate the remainder when i is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 - (4 - 4). Suppose i - 3 + 1 = -3*x, 3*i = 3*x + 6. Suppose x*o - 5*o = 0. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 1:31 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -13. Suppose -z + 2*a - b = -24, 9 = z + a. What is the smallest common multiple of 6 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -517*s + 518*s. Suppose s*p = -2*m + 83, 7*m - 216 = 2*m + p. Calculate the remainder when 341 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 + 2*x + 33. Determine q(-8).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86851, 168992, 251135, 333280, 415427, 497576?\nAnswer: 579727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*g - 4 = g, 4*o = 3*g + 14. What is the third biggest value in o, -0.6, 2\/13?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + 0 + 1)*(-3 + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let s(g) = -3*g**2 + g + 1. Let t(k) = -k - 1. Let r(p) = 2*s(p) + 2*t(p). Determine r(j(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*u + 43, 0*b - u - 36 = -2*b. Suppose 5*m = b + 8. Suppose 0 = -m*l + 45 + 75. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3188\/7 + 453. Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52760, -105516, -158272, -211028?\n\"Answer: -52756*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.92 (c) -5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63857292 is divided by 178?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -124. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 10*u**2 - 23*u + 59. Let v be t(8). Solve 0 = -5*p + v*i + i + 23, -3*p + 15 = -3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2100111 (base 3) to base 8\nAnswer: -3262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510860397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16842002 divided by 8\nAnswer: -8421001\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 630659.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 442\/3, -4 in descending order.\nAnswer: 442\/3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 + (-2 - (-4)\/(-2)). Suppose 4*c + c = w. Let a = -4 + 8. Is c equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/20 + (-22)\/30. Let x = -0.34 + 0.3. Let t = -0.96 + x. Put t, 0.3, j in increasing order.\nAnswer: t, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/27*-3*(-546)\/(-3458)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8, 5*q - 3*m - 221 = -28. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**8\/84 - h**5\/30 - h**2 - 4*h. Let k(v) be the first derivative of x(v). What is the third derivative of k(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkak when four letters picked without replacement from {k: 7, a: 7, v: 2}?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-7)*p))\/p)\/p*(p**(-5)*p)\/p assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2909, 16 in descending order.\nAnswer: 2909, 16, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*l**6 - 1009619*l**3 + 29924*l**2 - 2585 wrt l?\nAnswer: 11160*l**3 - 6057714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/21)\/1 + (-247)\/(-7). Let q = v - 32. Suppose -3*z = 4*b + 1038, 2*b - 1047 = 3*z + q*b. What is z rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1100) + 0 + -1 - (sqrt(1100) - sqrt(1100)*1)*6 - (4*(sqrt(1100) + 1*sqrt(1100)) + 2*sqrt(1100) + -1)) + -2)**2.\nAnswer: -267312 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 1740 = 15*g. What is the greatest common divisor of 522 and g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 - 5*d + 2. Let y(b) = 8*b**2 + 5*b - 1. Let g(m) = 7*a(m) + 6*y(m). Let w = 516 + -523. Calculate g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*i - 1)*(185 + 483 - 17 + 589)*(1 + 6 - 2) as v + z*i and give z.\nAnswer: -18600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4946*p + 2496*p + 2449*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19142)\/5067 - ((-16)\/(-18))\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1046*a**2 - 9*a - 9. Let c(f) = 522*f**2 - 4*f - 4. Let m(q) = -4*b(q) + 9*c(q). Let y(u) = -9*u**2. What is m(y(g))?\nAnswer: 41634*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473 (base 14) to base 4.\nAnswer: -31311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509*h = -1512*h + u + 24, 4*h + u = 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63238 is divided by 3006.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2770, -2761, -2754, -2749, -2746?\n\"Answer: -k**2 + 12*k - 2781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**1*d)\/d*d)\/((d*d\/((d\/((d\/d**7)\/d))\/d))\/d))**(-21))**(-6\/7))**(-2\/7) assuming d is positive.\nAnswer: d**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 - 7*k - 6. Let c(t) = t**3 - 2*t**2 - 9*t - 6. Let l(g) = -4*b(g) + 3*c(g). Let z be l(3). Which is greater: z or -14\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c + 807 = 59 - 236 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a + 15. Let x be u(10). Let p = -17 + x. What is the remainder when (4 - (p - -2)) + 4 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*o + 36, -4*o - r + 31 = -6*r. Solve 3*k + o = 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147407*y - 147407*y + 294809*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 8*o + 15. Let d be k(-6). Let a(t) = -t**3 - 6*t**2 + t + 1. Let m be a(-6). Put m, d, 5 in decreasing order.\nAnswer: 5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 287 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 30?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404323300 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/130117167 or -1?\nAnswer: 14\/130117167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -50, 1893, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u + 76. Let r(p) = 8*p + 76. Let f be r(-11). Let h be q(f). Are -152 and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 10*a - 2. Let z(g) = 3*g**2 - 29*g + 5. Let b = 16 + -10. Let x(c) = b*z(c) + 17*d(c). Let w be 200\/15 + 0 + -7 + (-1)\/3. Determine x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153.57*0.4.\nAnswer: 61.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 918, 2037, 3604, 5619, 8082?\nAnswer: 10993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1482 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, 4, 1, 176, 2\/163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, 196, 4, 10, -3, -3\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + x - 3*x + 1 - 145*x**2.\nAnswer: -145*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, 2, 82, -1, -3, 9 in increasing order.\nAnswer: -37, -5, -3, -1, 2, 9, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10584399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let p(o) be the second derivative of 127*o**3\/6 - 41*o**2\/2 - 55*o. Let i(r) = 5*g(r) + p(r). Differentiate i(j) wrt j.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4318 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3778, -7582, -11476, -15454, -19510, -23638, -27832?\nAnswer: -32086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*d - 641*c**2 + 8*c*d + c - 2*d + 2 wrt d.\nAnswer: -c**2 + 8*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19844 divided by 19844?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 57*x**2 - 79*x + 189. Let p be u(-55). Let b = 10614\/7 + p. Factor 0 + b*f**3 + 2\/7*f + 4\/7*f**2.\nAnswer: 2*f*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a - 9 - 5 + 6*a. Let s be h(8). Suppose -k + 3*w - 1 = 2, 5*k - 2 = -s*w. Solve -4*i + k*i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308294 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*33.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.2988 or 3?\nAnswer: 2.2988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63926 plus 127.5?\nAnswer: 64053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/6)\/4*0. Let r be 55\/((-22)\/2) - (-2 + -1). Let m be (-2)\/(r\/3) - (-13135)\/(-4403). Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let w(b) be the third derivative of b**4\/4 + 7*b**3\/6 - 4*b**2. Let p(d) = 21*h(d) + 3*w(d). Is p(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = 103*l + 124*l + 12688 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*6\/(-396))\/((-9)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(405) + sqrt(405) + 4)*4 + (sqrt(405) - (-2*sqrt(405) + 2) - sqrt(405)) + 3)*-6)**2.\nAnswer: -66096*sqrt(5) + 535284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/112 and -45\/194132.\nAnswer: 5435696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20207*z - 20193*z - 307692 = 0. Does 54 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 28*d - 288. What is g(41)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9348 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 277*x**4\/2 - 777*x + 429. Differentiate b(n) wrt n.\nAnswer: 1662*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 + 100560*r**2 - 100561*r**2 - 393.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 3:06 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**11)\/((r\/(r**(3\/8)*r))\/r*r))**35)**(3\/8) assuming r is positive.\nAnswer: r**(11235\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 501 - 2771. Suppose 3*s = -r + 14, -3*r + 2 = 125*s - 126*s. Calculate the lowest common multiple of f and r.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6560626 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35551.02g in milligrams?\nAnswer: 35551020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 + 1, -5*c + 17 = 4*v. Solve -2 - c = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97177 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*((-3)\/2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 2. Let t(s) = -274*s**2. Determine w(t(u)).\nAnswer: 274*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 23*b = 27*b + 16225, -c + 3*b + 16232 = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 59*f**3 + 19*f**2 - 14*f - 78. What is s(-3)?\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 1258*p**2\/7 + 2504*p\/7 - 1250\/7.\nAnswer: 2*(p - 1)**2*(2*p - 625)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 131 + 90)*(14503*z - 14503*z + 10*z**3) as j*z + x*z**3 + o*z**2 + l and give x.\nAnswer: 2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) + (1 - 10\/6). Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16*h**2 - 4 + 14*h**2 - 16 + 2. Let d(c) be the third derivative of -c**4\/8 + 94*c**2 + 5. Calculate z(d(p)).\nAnswer: -18*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k + 1269*k - 236*k - 2269 = -1171*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6461 minus -392?\nAnswer: 363.3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9861*b**3 + 3*b**2 + 71474*b + 3 wrt b?\nAnswer: 59166*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u - 7*u + 13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*a - 481, 0 = -3*a - k + 298 - 7. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 1. Let b = -8 + 13. Let y be r(b). Let c = 17 - y. Let j(k) = -4*k. Let g(t) = -2*t. Give c*j(s) - 5*g(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d2eeb (base 15) to base 4.\nAnswer: -2203021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3199, 5, 2, -1, -4 in decreasing order.\nAnswer: 5, 2, -1, -3, -4, -3199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - k + 1, -a = -2*a - k - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + g + 3)*(-9*g**2 + 16*g**2 + 6*g**2) - 9*g**3 + 18*g**2 - 18*g**2)*(-2 - 13 + 2) to the form x*g**3 + t*g + m + q*g**2 and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99666.\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 30. Let q(u) = -10*u**2 + 8*u + 320. What is -12*b(i) + q(i)?\nAnswer: 2*i**2 + 8*i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 13*t + 21*t.\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10691 - -513. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 - -158. Let y = -269 - r. Let c(f) = -f**3 + 2*f**2 + f - 1. Let s be c(2). Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 8 in decreasing order.\nAnswer: 8, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7717 (base 8) to base 11.\nAnswer: 304a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*k**2 - 36*k**2 - 37*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12091*p - 12007*p = 504 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*l - l + 20, 5*b = -5*l + 45. Let n(d) = d**2 - b*d - 2*d + 50 - 57. Let h be n(10). Sort 1, h, -5 in increasing order.\nAnswer: -5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 1.1 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-35) + 8610\/(-3675)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 12*w**2 - 13*w + 7. Calculate s(-8).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*r = -20963, 5*r + 2 = -3. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5978 is divided by 419?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9581 and 0.5.\nAnswer: -4790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 5. Let s be j(-2). Let i be s - ((-2)\/3 + (-28)\/12). Suppose i = -7*k + 158 - 4. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30187 is divided by 6037.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -5*p, 0 = -0*p - p - 4*w + 16. Solve 0 = -p*c + 4*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -28. Suppose -c - 3*p = -6*c + 186, 0 = -a*p - 6. Does 36 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:52 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 13\/3, 342, -4, -1 in decreasing order.\nAnswer: 342, 9, 13\/3, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 226797 times -0.4\nAnswer: -90718.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.01 + -0.01. Let o = 2 - t. Let z = 3 - o. Which is the smallest value? (a) 0.5 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -1\/3 (c) -1 (d) 3 (e) -1530546 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 93 = p, -210 + 204 = -2*p for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - g = 1, c + 800*g - 804*g = 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 3. Let o = -6 - -9. Let t = 135254 - 270507\/2. Which is the third biggest value? (a) -4 (b) o (c) g (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 44*a. Let i(z) = -46*z - 21. What is i(f(g))?\nAnswer: -46*g**2 + 2024*g - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4019833 millennia?\nAnswer: 4823.7996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 1. Let s be q(0). Let o(i) = i - 1. Let w(r) = 4*r + 2. Let g(t) = -7 - 10*t + 0*t - 5*t. Let c(k) = 6*g(k) + 22*w(k). Calculate s*c(u) + o(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5181 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Suppose 5*m - 88 - 42 = j. Let i(d) = -2*d**3 - 3*d**2 - 2*d + 1. Calculate the remainder when m is divided by i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -2.2. What is the biggest value in 3, r, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000227597 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/32 (b) 853 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*((-13)\/2 - -7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 7) to base 5.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1152849873, 1152849874, 1152849875, 1152849876?\nAnswer: 1152849877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 16. Let o(i) = -1. Let z(c) = o(c) + x(c). Let r be z(-12). Let w(a) = -2*a - 2. Let f be w(r). What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 35*y + 767. Let n be s(-22). What is the second biggest value in n, -0.2, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 8090004\nAnswer: 5\/4045002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-8550.\nAnswer: -51300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1169*a**4 - 8138574*a**3 + 8107223*a**2 + 16302654*a + 55688 = 0.\nAnswer: -1, -4\/1169, 2, 6961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1584)*4 + sqrt(1584))**2 - (sqrt(4400)*2)\/(sqrt(12)\/(sqrt(3)*2)).\nAnswer: -40*sqrt(11) + 256608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 485772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -22.25. Let f = 19 - 19.3. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 35*o = 155. Suppose 3*q = -5*m + 5706, -4*q - 8*m + 7619 = -o*m. List the prime factors of q.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 397 + -397.1. Which is smaller: c or 65\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (37 - (6 + 0) - (4 - 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x**2 + 31*x**2 - 11*x**2)*(-2 + 4 - 5) in the form r*x + p*x**2 + u and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -4 (c) -40 (d) -0.2 (e) -46 (f) 2\/5 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012100 rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59264, 59355, 59484, 59657, 59880?\nAnswer: 60159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 717*l**4 + 51726*l**3 - 644718*l**2 - 5581323*l - 4884165 = 0.\nAnswer: -299, -5, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2*f + 15 + 21 - 3*f.\nAnswer: -f + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n + 4. Let u(z) be the second derivative of z**4\/12 - z**3\/6 - 2*z. Let y(m) = -j(m) - 5*u(m). Is y(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43127, -172679, -388601, -690893, -1079555, -1554587, -2115989?\nAnswer: -2763761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 2, q: 4, g: 4}. Give prob of sequence qct.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzhzhyzzhzzzyzzhzzzy?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1251750 and 1275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a + 4. Let v(d) = -3*d**2 - 5*d - 11. Let l(i) = 4*v(i) + 11*w(i). Factor l(j).\nAnswer: -j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.1, -0.02, -13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 7*j**2 + 6*j - 62. Let b be u(7). Let f = -2 - -5. Suppose -f*o = 2*o + 100. Is o at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(3*l**2 + 0 + 0)*(716*l + 3*l**2 - 716*l).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 7) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15869919 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/21 - 2)*(((-90)\/9)\/(-2) + 72)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*a**3*y - 31*a**3 + 148*a**2 - 5*a*y**2 - 4*y**2 with respect to y.\nAnswer: 40*a**3 - 10*a*y - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-21) + (-538)\/(-14). Let m = 41 - p. Solve -r + m = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/558 and 79\/4774?\nAnswer: 42966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + 0 + sqrt(637))**2 + sqrt(78)\/(2*sqrt(864)).\nAnswer: -1007*sqrt(13)\/24 + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1014.\nAnswer: 405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-24) + (-32)\/(-24).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 34277462*v - 293736100290361.\nAnswer: -(v + 17138731)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.47 tonnes to kilograms.\nAnswer: 642470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + l - 33. Give p(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/3 - 16*k\/3 - 20\/3 = 0. What is k?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000110 + -1101001010?\nAnswer: 110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*(l*l**(-1\/8)\/l)\/l assuming l is positive.\nAnswer: l**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 2\/13, 7770, 0.4?\nAnswer: 7770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**4 - j**3 + 13659*j - 13659*j + 26*j**2 to x*j**4 + l*j**3 + q + o*j**2 + n*j and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -13 (c) -2 (d) -0.1 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589853286?\nAnswer: 2, 227, 10109809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35245 and 31163230.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = v - 0*k - 8, 3*v = -k + 8. Let q(a) = 8*a - 14 - v + 19. What is the tens digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4648*l - 5907*l + 3598*l + 2238 + 4719 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 81*f + 45*f + 26*f + 3 - 2.\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 527 - 527.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-6)*o*(o\/(o**(-1)\/o))\/o*o**4*(o\/(o\/(o*o**(1\/4)*o))*o)\/o*((o**(1\/3))**(-43))**(7\/11) assuming o is positive.\nAnswer: o**(-643\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:47 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*s + 5*s = -258, 255 = 4*u + s. What is the greatest common factor of u and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 54, 3, -2\/15, 246, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 679 + -675. Let h be ((-2)\/2)\/(2\/4). Sort f, -3, h in decreasing order.\nAnswer: f, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10886 is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.7 + 12. What is the closest to 0.2 in -1, 2\/17, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:38 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 3 = -35. Solve 7 - 10 = 5*r - u, -3 = y*r - u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:13 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 12 = 3*s. Suppose 9*d - 3*l = 11*d - 32, 4*d - 3*l = 64. Suppose 0 = s*a + a - d. Sort -4, a, 3.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/4 + 1\/(-4). Let s be (-2)\/(-3) - (-195)\/45. Solve 5*q - c + 2 = 0, -a*q + q = s*c + 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 less than 4598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 3, q: 10, j: 1}. Give prob of picking 1 q, 2 x, and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:48 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.34 - 0.82. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26184 - -22c?\nAnswer: 263b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16251154 - 16?\nAnswer: 16251135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 249559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.19\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slf when three letters picked without replacement from fczusul?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 4095*g - 8210 = 0.\nAnswer: -821, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*z**(-20)\/z*z)\/z))\/z)**(1\/10) assuming z is positive.\nAnswer: z**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*g + 63441 + 171261 = 0. Is g a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50\/(-6))\/(2\/(-108)). Let a = y + -269. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564552\/60 - -3 - (-68)\/510 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17842 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -0*w - 17193. Suppose 11*f - 2*l = 7*f + 6240, 0 = f - 2*l - w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 9*f + 10. Suppose 3*a - 5*a + 32 = 0. Suppose -a - 8 = 3*n. What is the tens digit of h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 16. Let c be ((-5)\/15)\/(2\/78). Let h = c + l. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -20*d**2 + 10312*d + 4128 = 0.\nAnswer: -2\/5, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5795091ms in hours?\nAnswer: 0.00000016097475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 24. Suppose -14*s = -105 + 35. Solve -3*c - s = -0*p + k*p, 0 = -5*p + 4*c - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039372?\nAnswer: 2, 3, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 a when three letters picked without replacement from {c: 2, a: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/60 - 170*b**2 - 1. Let z(j) = 5*j**2 - 3*j**2 - j**2. What is l(w) - 3*z(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.4, 54, 5, -2.16, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 - -83. Is m a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -82. Suppose u = z - 5. Let d = -193 + 203. Calculate the remainder when u is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4 - 3*x - 6 + 0*x. Determine b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -19?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 35 = -7*b + 33*a, 0 = 3*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1240)\/5890*3\/(-2)*2\/6.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13911 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose 3*l = -p + 5, 2*l - h*p + 15 = 5*l. What is the nearest to l in 0.4, -2, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 + 4615*d + 22461 with respect to d.\nAnswer: -6*d**2 + 4615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2040549ug in milligrams?\nAnswer: 0.0002040549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7544 + 328 = -64*v for v.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryy when three letters picked without replacement from ryrzvpyyzyzsyzp?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w + 17. Let c(g) = 139*g**2 - g - 5. What is c(v(x))?\nAnswer: 11259*x**2 + 42525*x + 40149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.386 + -29. Let n = k + -0.27. Let u = n + -0.043. What is u rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 19*z**3 - 2*z**2 + z. Let l be q(1). Suppose 0 = t + 2*g + 9, 0 = -5*g - l - 2. What is the lowest common multiple of 3 - (t - 1 - 0) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - p + 9*p = 0. Suppose p = i + 3*i. Solve 4*y - y + 6 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136250000 to the nearest 1000000.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, q: 5}. Give prob of sequence qggg.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 20*n**2 + 75*n - 57. Let d be g(-24). Suppose d + 4977 = 6*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 25*i - 160. Let v = i - -27. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 5356 = 241*l - 2302 - 1828 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {v: 11, t: 1, z: 2, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 761835414*r - 48366099835379283.\nAnswer: -3*(r - 126972569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + 124*h**2 - 136*h - 1085. What is y(40)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688 - -633 - (2 - 89).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.452676ug?\nAnswer: 3452.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:01 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*-2)\/((sqrt(90)\/sqrt(2))\/sqrt(5)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skyksyss. Give prob of sequence sky.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 + 4.16. Sort j, -1, -0.3 in descending order.\nAnswer: j, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7)\/(1 + (-8)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926.11298 rounded to one dp?\nAnswer: -926.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(0*s + 3*s + 4*s)*(3*s**4 - 2*s**4 + s**4).\nAnswer: 56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 * -9480\nAnswer: 5403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/52)\/(3\/(-6)))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 1) + (912 - 1056).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 203045216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/j**11)**(-1\/30)*(j**(-1\/5))**(-2\/11)*(j**(2\/3)\/j)**(-1\/11) assuming j is positive.\nAnswer: j**(19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 56624)*(1 + -2). Let s = -103323 + x. Round s to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24833 and 551.\nAnswer: 720157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from vyyvymmmmyyy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 + 7*d - 1. Let i be a(-7). Let l be 2 - i - 3\/6*4. Find n such that 2*n**2 + l + 4*n - 12*n - 11 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -222 + 105 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 10. Let p be r(-6). Suppose y - x - 8 = -3*y, 4*y + 2*x + p = 0. Is (1338\/(-12))\/(y\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -1158963745?\nAnswer: -1158963748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*z + 165 = 791, 614 = 2*w + z. What are the prime factors of 1\/2 - w*1\/(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40934365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900 a factor of 183688900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from gzizzizzzzziiziizzi?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -665\/1382 + -13\/691. Which is the closest to -0.1? (a) n (b) -64 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w + 16. Let t(k) = -3*k - 7. Let f(q) = 4*g(q) + 9*t(q). Let l be (4*10\/4)\/(1 - -1). Suppose l*o + 10 = -2*s, 3*o = 4*o - 5*s + 29. What is f(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 28 + 1 + 19 + 5 + 27*y**3.\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7 and -44\/5218249.\nAnswer: 36527743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35650445251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - 189*d + 100. Let i be p(-32). Solve h + 2*n + 8 = 5, i = -h - n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1805, -3662, -5611, -7676, -9881?\nAnswer: -12250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-20) - 534\/(-15). Suppose o = 4*m - 168. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 + 4. Let i = 3 + 1. Let x be a(i). Suppose 5*s + 56 - 76 = 0. What is the greatest common factor of s and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188387 to the power of 1\/2, to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(18)\/(sqrt(3) + sqrt(27))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3017.3 + 3023.97152. Let x = t - -2.3268. Let b = 9 - x. Round b to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26966 + -26801. Solve -g = 21*b - 123 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -1. Let d(m) = -3*m - 26. Let i(b) = -5*b - 39. Let j(n) = a*i(n) + 7*d(n). Find the first derivative of j(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44626\/21 - -6616\/3. Let d = w - 80. Which is the nearest to d? (a) 1\/5 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*i**2 - 14365*i**2 - 1 + 1310*i**2.\nAnswer: -12990*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -15. Let u(o) = -19*o + 1482. Calculate the remainder when u(75) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 74654?\nAnswer: 7464b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 455?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14071727 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 4*x - 5*x)*(1 - 3 + 3)*(x**2 + 1 - 1) to r*x + a*x**2 + w*x**3 + p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 + 11 + 2*i**2 + 6*i - 3*i**2 + 1. What is u(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 44ec21?\nAnswer: -44ec23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 33 - 0. Suppose 3*b - 7*b + r*f + 19 = 0, 5*f + 5 = 0. Suppose -3*l = -5*j + 8 - 322, 0 = -3*l - b*j + 332. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 1798, 3628, 6188, 9478?\nAnswer: 13498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:44 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4950\/(-36)*(-163)\/1793.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2. Let p(s) = 13*s**2 - 33*s**2 + 106*s**2 + 82*s**2. Determine h(p(j)).\nAnswer: -112896*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 7*o + 1. Let l be 0 + -2 + (-15)\/(-3) + -3. Suppose -10 = -2*q, 4*h + 2*q + l*q + 218 = 0. Let j = 62 + h. Give x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by -81?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170368272 by 1.\nAnswer: -170368272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20249 + 20250. Which is the second smallest value? (a) 0.5 (b) -22 (c) n (d) 0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-4)\/(-20)*-3). Solve 5*u + b*o - 5 = 0, 5*o + 15 = -u - 0*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 2216)\/(-6) + 0.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -427*q. Let r be c(2). Let b be (11919\/(-4) + -2)\/((-70)\/(-20)). Let z = b - r. What is the common denominator of z and 35\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+0.0611383\nAnswer: 0.5611383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n**2 + 1. Suppose 9 = -2*l - 5*k, 15*l - 10*l + 5 = 5*k. Determine r(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let k = 169.6 + -168. What is the smallest value in k, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 104*y - 1972. Suppose -2*k = 1 + 5. What is the lowest common multiple of ((-15)\/(-10))\/(k\/(-28)) and i(19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 (base 11) in base 6?\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 196\/(-154)) + 12.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -106.308\nAnswer: -10.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.25 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18da373 (base 14) to base 13.\nAnswer: -2739916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -769\/1552 - -42\/97. Put 4, x, 11 in descending order.\nAnswer: 11, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 98. Let b = 68 - h. Solve c - s = -9 + b, -2*s = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -4 + (-5 - -18) - -18) + -64?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 75063 - 50097 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40702, 81524, 122342, 163156?\n\"Answer: -2*v**2 + 40828*v - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*y + 19, -4*p + 10 = y - 1. Suppose -4 - 2 = -p*g. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*o**3*w - 3*k*o**2*w**2 + 29*k*w**2 - 1620*o**3*w**2 + o**2*w**2 wrt o?\nAnswer: 12*k*w - 9720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2*u**3 + 528*p**2 - 1786*u**3 wrt u.\nAnswer: 6*p**2*u**2 - 5358*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 121 and 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*b - 8, 28 = -b + 4*b + 4*g. What is the units digit of (-6)\/b + 328\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10766 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/12)\/9*(4 + -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2380*-112.9.\nAnswer: -268702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-24))\/(18\/8). Let o be (-4)\/(-3)*45\/21. Let m = o - 74\/21. Put -1\/7, m, b in increasing order.\nAnswer: m, b, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.75 to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5519 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127 - -212. Let l = -52 + i. What is the hundreds digit of 3405\/l - 10\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/15*(-20)\/84 + (-2766)\/(-21). Solve -11*m = 22*m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1337\/6 + -668\/3. Which is the closest to 0.09? (a) -1 (b) x (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 810*h**3 - 1254*h**3 - 1128*h**3.\nAnswer: -1572*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/9)\/q**(-1\/5) assuming q is positive.\nAnswer: q**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/4*u**3 + u + 0*u**2 = 0. Calculate u.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**6\/3 + 4*x**5\/35 + x**4 - 8*x**3\/21 - x**2 + 4*x\/7 - 3. Solve m(b) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-8 - -17) + (-6 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -290898\nAnswer: 290874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40*x**3 - x**2 + 9*x - 8. Let p be q(1). Solve -8*n = -8 + p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 5*d - 5*d + 3*d - d - d + (1 + 0 - 3)*(-4 - d + 4) + 0*d + d + d + 4 - 4 + d + 3*d - 5*d + 4*d - 6*d + 5*d + 0*d + 3*d - 4*d - d + 2 - 1 + 5*d + 7*d.\nAnswer: 18*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**7\/2520 + a**4\/6 + 2*a. Let f(k) be the third derivative of n(k). Let p(l) = 0*l**2 + 5*l**2 - 4*l**2. Determine p(f(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1270*p**2 + 202246*p + 200978.\nAnswer: 2*(p + 1)*(p + 317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 4. What is the closest to -1\/13 in 2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) - (sqrt(17) - (2*sqrt(17) + sqrt(17)))**2) + 5*sqrt(85)\/sqrt(5) - ((sqrt(17) + 0)**2 + 4 + (sqrt(68)\/sqrt(64))**2).\nAnswer: sqrt(17) + 3999\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33160 is divided by 10781.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21733011 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**2\/3 - 80*l + 68\/3.\nAnswer: (l - 34)*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 11*h - 31*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Let c(i) = -2*i + i + 1 + 2 + n*i. What are the prime factors of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, 20, 79, 172, 305, 484?\n\"Answer: m**3 + 8*m**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*-65.5485\nAnswer: -262.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -22 + 14 + 117\/15. Let f = -0.044 - -3.984. Let x = f + 0.06. What is the closest to 1\/8 in -4, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4\/9, 1\/19, 2, -3\/8, 0.3, -1\/4?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 463693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + 2*z + 2. Let u be o(-1). Solve l + u = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 348, 794, 1420, 2226?\n\"Answer: 90*y**2 - 4*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*j + 120 = 0, k - 4*j - 36 = -0*j. Suppose -k = 4*y, -2*b - 3*b + 5*y + 80 = 0. Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 12 = 4*u, 3*f - 2 = 2*u. Solve 2*g = c - 1 + u, 0 = 5*g + 5*c - 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300812131.8999881 + 300812159. Let k = 0.52 + 26.58. Let m = y - k. What is m rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-22\/3)\/b)\/b)\/((b\/(b**(2\/63)*b))\/b))\/(b**(-6\/11)*b*b**(6\/5)\/b))**(-1\/3) assuming b is positive.\nAnswer: b**(31033\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 5. Let p be b(-1). Let r be 7\/14*8 + -1 + -1. Sort 13, r, -4, p in increasing order.\nAnswer: -4, r, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**3 - 165*y**2 - 121*y - 1302. Determine n(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1051, -2, 5, 1, -4 in descending order.\nAnswer: 5, 1, -2, -4, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160 (base 8) in base 3?\nAnswer: 2222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*2 - ((sqrt(162) - (sqrt(162) + -1 + sqrt(162))) + sqrt(162) - sqrt(2)) - (3 + 1 + sqrt(98)))**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833) + (sqrt(833) + -3)*4)**2 + sqrt(187)\/(4*sqrt(704))*-3.\nAnswer: -29123*sqrt(17)\/32 + 20994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-22)*-1*(4 - 2). Is -13 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {h: 2, u: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.442 and 0.06.\nAnswer: -0.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 33, 100, 225, 426, 721?\n\"Answer: 3*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -3*j + 3*z, 9*j - 183*z + 181*z - 96 = 5*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110209670 * 2\nAnswer: -220419340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 2*t + 3*t + (18*t - 17 + 17)*(121 - 68 + 189 + (0 - 2 + 0)*(-1 + 0 + 3)) in the form r*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 312 = -2*o, -2*o + 336 - 40 = i. Suppose -6*r + 5*r - 5 = 0. Let k = r - -35. Calculate the highest common divisor of k and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (27\/(-6))\/(15*14\/(-11)) and 11\/368.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 167 = -5*g, 3*g - c + 4*c - 96 = 0. Suppose -2*s + 3*b + 18 = 0, -4*s = -s + 4*b - 61. Let y = g - s. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 905 + -905.5. What is the smallest value in -1, 1, 1\/42, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 + 43 = 0. Solve 5*l = -3*t - 5 - u, -1 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.578? (a) -5 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 95*i + 93*i + 91*i + 89*i - 366*i. Let p(n) = 9*n**2 - 15*n. Determine p(q(d)).\nAnswer: 36*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 22398*v + 19 - 2*v**4 - 18 + 23594*v to the form i + r*v + g*v**3 + q*v**2 + o*v**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 25*j**5 + 685*j**4 + 3245*j**3 - 2485*j**2 - 1470*j = 0.\nAnswer: -21, -7, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/25 and (210\/(-875))\/(354\/255 - 2)?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(4\/30) - 2. Which is bigger: -16 or k?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-10))\/(((-27)\/6)\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.0725 - 0.0725. Is -12 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8522086, 8522070, 8522054, 8522038?\n\"Answer: -16*t + 8522102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/10976 and 101\/322?\nAnswer: 252448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24521 and 31527?\nAnswer: 220689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.05, 40, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -551 + 554. Which is the smallest value? (a) -3 (b) -15 (c) o (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -7, 4, 113, -1, 1\/22, 1\/66, 3?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6096 and 677689272.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddg when three letters picked without replacement from govdoovvvmoyvmovodvv.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1793.\nAnswer: -2\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -915*t - 107051. Give v(-117).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 98109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 5*m + 28. Suppose 8*d - m = 4*d. Solve l - d = 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319008 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*f + 0 = 28, -2*l + 3*f - 7 = 0. Solve l*n + 3 = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8231 + -366aa?\nAnswer: -29479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3 + 7) - -4. Solve -3*g + 15 = -r*b, -2*g - g + 15 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 - 2*c**2 + 5*c - 3. Let u(a) = 15*a**3 + 6*a**2 - 14*a + 8. Suppose -d + 4*g + 12 = 0, -44*d + 3*g = -41*d - 27. What is d*i(h) + 3*u(h)?\nAnswer: 5*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178437363887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12143689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = u + 46, k - 7 - 9 = 4*u. Suppose 2*t - k = 26. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388565 is divided by 55502?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 1130\/6893*(-8)\/(-30)*(-3)\/4\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-1\/3)\/t)*t*(t\/t**(-4))\/t)\/((t\/(t\/(t\/(t\/(t\/t**0*t*t)))))\/t**(-3)) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100717528 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*j + 52, -2*j = -4*n + 10 + 106. Suppose 0 + n = -2*x. Does 4 divide (0 - -20) + x\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 6*k - 28. Let r(c) = -231*c + 5. List the prime factors of r(k).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1997*b**2 + 8*b - 384812 wrt b?\nAnswer: 3994*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 7. Let u be x(7). Solve 3*l = -u + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*f - 1433, -2*f = -f - d + 359. Is 17 a factor of 6\/(-42) - f\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o - 40 = 0. Is -2*4\/o - -372 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (3 + sqrt(605)*-3) - -2*(sqrt(605) + -1)) + -6*(-3 + -1 + sqrt(605) + 3) + 5)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 3 + 7 + 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621512?\nAnswer: 2, 3, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51020, 104704, 158388?\nAnswer: 212072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/21 - 10*q**3\/21 - 12*q**2\/7 + 7*q + 42. Let s(m) be the first derivative of k(m). Solve s(y) = 0 for y.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.29 + -0.29. Let v = x - 149. Let w = v + 88.4. What is the nearest to 0 in 2, -6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 674*l**2 - 59*l?\nAnswer: 24*l**2 + 1348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 30 = -13*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w + 5*p - 10 = 0, 5*p - 15 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/12*2)\/((-7)\/28). Find the second derivative of -g**3 - s*g + 8*g + 5*g - 6*g**3 wrt g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:23 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 688 = h, 1847 = -5*h - 4*g - 1574. Round h to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*l + 2*l - 89 = 0, -i + 4*l + 62 = 0. Suppose -6*o + 234 = 3*o. Suppose -4*c = -i - o. What is the remainder when 65 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 6*g - 3. Let l be n(3). Let q = 1 + -3. Let a be 74\/10 - q\/(-5). Solve 4*b - 3*s - 8 = 0, 4*b + l = a*b + 3*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1307 + 1306. Which is the closest to r? (a) -5 (b) 7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -2 + (-6 - 1938)\/(-4). Let x be t\/(12\/(-28) - 440\/(-994)). What is x rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21400972 is divided by 157?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-21) + (-120)\/(-168). Does -3\/130 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5))**(5\/3)*u\/(u\/u**(1\/3))*u**(2\/5)*u)\/((u**(1\/3)\/u)\/u**(-12))**(2\/37) assuming u is positive.\nAnswer: u**(992\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 17*q - 97, 14*i + 37 = 8*q + 4*i + 9*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Suppose -2*j = -w*j. Suppose i + 24 = 5*c, 0*c + 3*c + i - 8 = j. Solve -c*t + 10 - 22 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 178.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 1100 = -764*b - 604 + 215 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 = 5*z + 16473*l - 16437*l, 3*z = 2*l + 32 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/133 and 104\/193205775?\nAnswer: 193205775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/180 and 167\/98730576.\nAnswer: 493652880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -838207916 by 333151.\nAnswer: -2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16677 - -33353\/2. Let y = 2.7 + 0.1. Let h = y - 3. What is the third biggest value in 1, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/12 + 5*x**3\/6 - 4*x**2. Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 24. Solve 2*c + 0 = -u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 43*a**2 + 2496*a + 77. What is p(-58)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 509.4927 millennia?\nAnswer: 5094.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/16 + (-2)\/4. Let p be d*3\/6*1. Solve 3*b = a + 17, 2*b - 3*a - 16 = -p*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6) + sqrt(54)))**2 - (sqrt(28)*-3)**2.\nAnswer: -4025\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -982017*d**6 + 3*d**5 + 32479398*d**2 wrt d.\nAnswer: -117842040*d**3 + 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 213 + 213.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -7 - -19) + (-45 - -7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.9, 2\/11, -901, -5?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10)*4) - sqrt(11) - (sqrt(11) + 3)*-1)**2.\nAnswer: 3*sqrt(11)\/2 + 155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9 + 0 + 2*c**2 - 1 + 24*c + 16. What is the remainder when k(-16) is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203 * -50980.\nAnswer: 10348940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 6\/83.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/6 - 11\/12. Suppose 278*g - 288*g - 20 = 0. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/4 - (-1 + 2). Suppose 0 = -4*m - 5*b + 117, -2*m + c*b + 19 = -34. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 d, and 1 p when four letters picked without replacement from {b: 2, d: 12, z: 3, p: 1, m: 1}?\nAnswer: 33\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442150 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -0.12. Let f = -51 + 46.4. Let s = 0.6 + f. Is c <= s?\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) -0.2 (c) -1\/12 (d) 115 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11107140 is divided by 2221428.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-11)\/(-44).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*b)*(-1 - 5 + 3) + (1 - 3 + 0)*(5 + 1 - b - 5).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-88)*8\/(-6). Let z = -123.1 + 123. What is the closest to z in -2\/13, 0.3, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 36. What is the biggest value in -4, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18060369361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1630*b**2. Let p(d) = -3*d**2. Give r(p(k)).\nAnswer: 14670*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12965684823778)\/(-60918) - 10\/(-30). Let s = -212838322 + o. Let x = s + 2\/923. What is the common denominator of 91\/8 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -a - 5*k + 45, -3*a - 15 = -1851*k + 1849*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*v**4 + 82 + 156*v**4 - 468*v**4 + 25*v**3 + 157*v**4 wrt v.\nAnswer: 4*v**3 + 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33509 + -15436. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*i - 92 = 0, y + i + i = 26. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6309 by -1.\nAnswer: 6309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.97978 + 0.7?\nAnswer: 9.67978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 9*b = -x + 482, 2*b = 3*x + 498. What is the lowest common multiple of 567 and b?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.025 - -10.175. Let n = -16.2 + f. Put -0.2, n, -0.3 in descending order.\nAnswer: -0.2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-10)\/20)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 5. Let v be x(17). Let h be (1\/(-2))\/((-1)\/v). Let s(c) be the third derivative of c**5\/60 + c**4\/4 - c**3\/3 + 2*c**2. Determine s(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Suppose 8 = 4*v + 4*p, 0*v + p + 10 = 5*v. Let x(a) = -2*a**v - 2*a**2 + 5*a**2 + a**2. Calculate k(x(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1393?\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o + 5*r - 28 = 0, 0 = 3*o + r - 10. Let h(s) = 11*s + 1. What is the remainder when h(o) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 316. List the prime factors of u(0).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)\/(o*o**(2\/13)*o))\/(o**(2\/7))**(-17\/2))\/(o*(o*o**(2\/5)\/o)\/o*o*o*o**(1\/7)*o*o**5\/(o**(1\/4)\/o)) assuming o is positive.\nAnswer: o**(-18233\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.005 - -0.005. Let m = 29 + o. Sort m, -1, 2 in decreasing order.\nAnswer: m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3411 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5*n**2)*(3 + 0 - 2).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 9. Let h be k(-4). Solve h*y = -10, -4*y = 3*x - 3*y - 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 625619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 15539.\nAnswer: -621.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -10.4, -3, 0.2 in descending order.\nAnswer: 0.2, -3, -7, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1\/4, -541, 0.1, -1, 4.\nAnswer: -541, -13, -1, -1\/4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1798\/273323?\nAnswer: -1798\/273323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/30 - 5*a**4\/24 + 7*a**3\/6 + 16*a**2. Let z be x(3). Solve 7*o = 2*o - z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14*f - 26. Let x be ((16\/(-12))\/(12\/(-18)))\/((-13)\/(-52)). Let u(y) = -5*y + 9. Give x*u(l) + 3*g(l).\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 + 470*g**2 - 13*g - 3620. What is c(67)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3986002 centimeters in nanometers?\nAnswer: 3986002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*n**4 + n**3 - 4*n**2 - 7832 wrt n?\nAnswer: 260*n**3 + 3*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25 - 25096\/(-10). Let n = -27564\/11 + p. What is the common denominator of n and -3\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 35. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-2) + 2)*-3. Let j be ((-24)\/20)\/(z\/30). Let f = j + -1. Is -4 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 1139\/3. Let t = -3 - 8. Let f be ((-1)\/t)\/(4\/8). Which is the nearest to z? (a) -5 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*v + 91*v + 100 = 0. Sort v, 1, -3 in increasing order.\nAnswer: -3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*q - 10. Let a be (-2)\/q - 63\/(-36). What is the derivative of 16*y**2 - 27*y**a - 7 + 11*y**2 - 6*y**3 wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112442 by 22.\nAnswer: 5111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + 3*(-9)\/(-27) - -223. Let q(b) = 11*b**3 + b - 1. Let p be q(2). Let o = s - p. 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 0.3 times 21874.745?\nAnswer: 6562.4235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-45)*11420\/(-72). Let i = -2\/81 + b. Calculate the common denominator of 70\/9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 46 = -3*t - 2*d, 4*t = -2*d - 64. What is the remainder when ((-19)\/2)\/(9\/t) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 + 0)) + (6 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155852325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/11*d + 0 - 2\/11*d**2 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3\/5, -31.19, -2\/11, 15\/28?\nAnswer: -31.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1013\/9 (c) -2 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 6. Let d = 15 + -72. Let q = -58 - d. Let o(h) = -7*h - 7. Let u(s) = -13*s - 13. Let v(m) = 11*o(m) - 6*u(m). What is q*j(l) - 6*v(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and -7097.24?\nAnswer: 447126.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 10\/(-14). Let l = 13 + -12. Let h be (-2)\/(-8)*(l - -3). Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/(((-6)\/(-18))\/((-8)\/528)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8062*j + 20915 - 19219 = 226*j - 694496 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 129594049, 129594047, 129594045, 129594043, 129594041, 129594039?\n\"Answer: -2*r + 129594051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) + sqrt(264)*-1)*-2 + sqrt(264))\/((1*sqrt(132))\/sqrt(11)))\/(sqrt(108)\/sqrt(24) - sqrt(288)*4).\nAnswer: -2*sqrt(11)\/93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5*r - 5*r. Let h(x) = 44*x. Let f(o) = -5*h(o) - 24*u(o). Let i(t) = 1 - 1 - 7*t. Determine f(i(c)).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*z = -45*z - 416 - 880 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 4. Let l be p(4). Let h be (1 - -1)*(-2)\/10. Are l and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261228164*i**4*n**3 + 2*i**2*n**3 - 2791*i*n**3 - 2*i*n**2 + 2*i*n + 12666*n**3 wrt i.\nAnswer: 3134737968*i**2*n**3 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 529*w**6\/12 + 299*w**5\/2 + 393*w**4\/4 - 86*w**3\/3 + 2*w**2 - 6. Suppose a(k) = 0. Calculate k.\nAnswer: -2, -1, 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.23, 2908, 1, -0.4, -11, 1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*n + 12 = 115*n. Let u = -4 + 13. Let m(z) = n*z + 6 + 3 - u. Let y(o) = 10*o. Give m(y(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 3, -8, -5.\nAnswer: -8, -5, -0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*a = 160, -i - 29 = 3*a + 9. Let q = i + 35. Suppose -q*c + 2*c - 73 = -u, -5*c = -u + 77. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 494*r**3 - 803*r?\nAnswer: 2964*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:52 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 492\/28 - ((-4)\/(-7) + -1). What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, -5, 1\/3, 0.06519, -2\/9, -3?\nAnswer: 0.06519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, -0.4, -16, 63?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (626 + -429 - 170) + 0 + 0 + 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 5*z + 10. Let x(v) = -v**2 + 2*v - 5. Let m(q) = -6*h(q) - 11*x(q). Let t be m(4). Solve i + 3 - t = 2*d, -5 = 3*d + 2*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4110332 and 97\/8220664?\nAnswer: 8220664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 13. Let b(n) = n**3 - 6 + 10*n - 4*n**2 + n**2 - 7*n**2. Let i be b(9). Solve -23 = 4*c - i*y, -3*y - 23 = -c - l*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:14 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1463095.75*5\nAnswer: -7315478.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4*(-216)\/(-243))\/(418\/171)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 5) to base 2.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 less than 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105195 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s - 100 = -106*s. What is the tens digit of 2*((-39025)\/s)\/7*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**4 + t**2. Let b be 7\/5 + 168\/(-420). Let x(p) = p**4 - 18*p**3 - 78*p**2 + 18*p + 81. Let s(k) = b*x(k) - 2*r(k). Solve s(n) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 76*c + 34. Let i be b(4). Calculate the greatest common factor of i and 832.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z. Let v be (2 - (0 - z)) + -65. Is -4*1\/(-2) - v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -169 + 150 - 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -53*a + 2. Let b(l) = -317*l**2. What is b(d(v))?\nAnswer: -890453*v**2 + 67204*v - 1268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -25, -q + 16 = -5*j - 7. Let o be 0 - (4 + q)*-2. Suppose -3 = o*g - 5*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -24 + 42 + -9 + (-1 - 90).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from gbgssbsgbsosbbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/63)\/((-28)\/(-378)))\/((-1)\/(88\/(-4))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105038 + -63056. What are the prime factors of z?\nAnswer: 2, 3, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359089219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/725277 and -19\/103611.\nAnswer: 725277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h**(3\/2)*(h\/(h\/h**(-1\/4)))**(-8))**(-40))**19 assuming h is positive.\nAnswer: h**(-2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6670148?\nAnswer: 2, 1667537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2304 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (7 - 4) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 13. Let h(q) = 3. Let o(d) = -9*h(d) + 2*m(d). Let u(j) = 3*j + 3. Let s be u(-2). What are the prime factors of o(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 259*b**2*i**3 + 29359*b**2*i + 3*i**3 + 2244*i**2 + 76 wrt b.\nAnswer: 518*b*i**3 + 58718*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:58 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) + 1*sqrt(88))*-4 - sqrt(88)) + -6*(sqrt(88) + (sqrt(88) - 2*sqrt(88)) + sqrt(88)))\/(((2*sqrt(18))\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-101 - -68)\/((-6)\/(-4)). Which is greater: -19 or a?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12706 and 0.04?\nAnswer: -508.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-189)\/(-39) + 2\/13. What is the second derivative of -7*m + 1 - 1 + g*m**3 wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19557927, -19557928, -19557929, -19557930, -19557931, -19557932?\n\"Answer: -a - 19557926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u. Let m(k) = -9*k**2 - 1436*k - 1. What is -m(i) - 7*r(i)?\nAnswer: 2*i**2 + 1443*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (133671\/(-204))\/((-1)\/124) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 121753439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 12 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {r: 2, p: 3, y: 6, t: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 + 24 = -90*a - 74*a. Suppose -3*n + 36 = n. Are n and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261932400 rounded to the nearest one million?\nAnswer: 2262000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l - 7. Let z be b(6). Let c = z - 3. Suppose -16*p + 8*p + 16 = 0. Solve -c*h = -3*r, h + 2 = p*r - h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 4. Let r be m(-2). Suppose 3*s - 57 = 2*t, 3*t + 2*t = r. Calculate the greatest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-8435))\/9*-2*(-273)\/(-78)?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 180\/300*(-10)\/(-6)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 33. Suppose 0 = -2*m - 3*m + n. Solve m*i + 3 = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121400024023 - 20?\nAnswer: 121400024003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 2\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -468 - -489. Let h be 5 + 2 + (-5 - -2). Let a = 7 - h. What is the least common multiple of a and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 divided by 545?\nAnswer: -333\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6762 - 6760. Let h(p) = -4*p - 5. Let d(z) = -1. What is o*d(k) - h(k)?\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(14) - (sqrt(112)*-2 - sqrt(112))\/sqrt(8)))\/(sqrt(14)\/((-2*sqrt(10))\/sqrt(5))))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41469.21 rounded to the nearest 100?\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 104 = -3*n. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000105 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 4354*z + 39105 = 0. Calculate z.\nAnswer: -4345, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 901038 divided by 8\nAnswer: 450519\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrzrrxrrrjrrgjg. Give prob of picking 2 g, 1 j, and 1 z.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -72.91*0.296\nAnswer: -21.58136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7644 + 7667. What is the remainder when 251 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 0, -7*u = -6*u - 2*l - 13. Let g(h) = 5*h + 4*h**2 + 4 + h**2 - h**2 + h**u. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -171, -391, -711?\n\"Answer: -50*l**2 + 30*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1509706676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 h when three letters picked without replacement from {j: 4, u: 7, h: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 + 2*v - 3. Let i(c) = 2*c - 16. Let y be i(12). Let h be r(y). Solve 4*w - h = -5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-384))\/(-1*(-1)\/3). Which is the nearest to -2? (a) 15 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417650.\nAnswer: 2, 5, 29, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166901683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 101*s**2 + 81*s - 1872. Determine i(-100).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 + 3*n - 3. Let z be -3*(-2 + (-10)\/(-3)). Let w be v(z). Let s be (12\/w)\/(6\/(-15)). Solve -3*r - 2*y = -6*r - s, -8 = r + 3*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 24 = -3*x. Let p(u) = -3*u**3 - 8*u**2 - 2*u - 2. Let g(w) = -2*w**3 - 7*w**2 - 3*w - 1. Let y(m) = -4*g(m) + 3*p(m). Give y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i**2*i)))*i**6)**(-18) assuming i is positive.\nAnswer: i**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 14*m - 9. Let j be p(7). Let f = j + 61. Solve -a - 2 - 6 = 5*n, 3 = f*n - 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4.8781\nAnswer: 7.8781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Suppose -324 = -4*w - 14*w. Suppose w = 6*y - 6. Which is the biggest value? (a) 0.1 (b) y (c) 5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 - 15 = -n, -4*x - 12 = -4*n. Let s = x - 0. Let d(a) = 2*a. Does 3 divide d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2856 and 48144?\nAnswer: 337008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15483 (base 9) in base 15?\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 320. Let k = -7 + 10. Let b be ((-8)\/k)\/((-5)\/15). Calculate the highest common divisor of p and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**4\/4 + 2*f**3\/3 - f**2 + 25*f - 46. What is the second derivative of g(o) wrt o?\nAnswer: -18*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20368858 is divided by 68582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9527.\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-4 + 3)*3. Let w(z) = z**3 - z**2 - 7. Calculate w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/298 and 11 + 1*2086\/(-224).\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*m = -325*m + 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*g*h**3 - 3*h**3 + 95*h**2 wrt g?\nAnswer: 87*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7*y = 6*y + 15, -3*y + 13 = x. Let a be 29\/(-11) - (3 - (2 + x)). Factor -2\/11*p - a*p**4 + 0*p**3 + 4\/11*p**2 + 2\/11*p**5 + 0.\nAnswer: 2*p*(p - 1)**3*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946471 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4142072 + -1.3842. Let j = 0.03 - t. What is j rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*o - 7*o - 55 = 0, 3*o - 15 = -5*y. Suppose 2 = -4*k + y. Let w = 1 - k. Solve w = -2*q + 3*g + 13 - 3, 0 = -g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3533451?\nAnswer: -3533453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -138*i**4 + 4*i**2 - 519*i. Let p(s) = -135*s**4 + 5*s**2 - 518*s. Let k(y) = -5*o(y) + 4*p(y). What is the second derivative of k(w) wrt w?\nAnswer: 1800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - 3*h + h)*(4 - 6 + 4) + 2 - 2 - h + (-2*h + 5*h - 2*h)*(-2 + 6 - 2) + 4*h - 7*h + 2*h + h + 1 - 1)*(-3*h**4 - 2*h**4 + 3*h**4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/8 + q**3\/6 - 29*q**2. Let n be (143\/286)\/((-2)\/4). Determine r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 12. Let m be g(5). Calculate the least common multiple of (-6)\/(-3) + 8 + -2 and (3\/6)\/(m\/(-84)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + -2 + 2 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-99)*(-12)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.80398 rounded to the nearest integer?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*a + 188*a - 4 - 562*a + 181*a.\nAnswer: -4*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3886115 divided by 85?\nAnswer: -45719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*v = 16, j + 13 + 2 = v. Let t = -10 - j. Solve -d + 0*d + t*k = -3, 2*d - 6 = 4*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 3*h - 3*h)*(-h**2 + h**2 - h**2)*(-20*h + 19*h + 10*h) in the form l*h + q*h**3 + s + b*h**2 + o*h**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 10*x**3 + 55*x**2 + 60*x = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 12 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(117) + 2 + -1 + -4 + (sqrt(117) + -1 + (sqrt(117) - (sqrt(117) + -2)) - sqrt(117))*6)**2*-6.\nAnswer: -708 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2c?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 16*n - 25*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62689, 243516, 544895, 966826, 1509309, 2172344?\n\"Answer: 60276*h**2 - h + 2414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 + 263. Let s = -0.1 + 0.3. What is the second smallest value in -2, o, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298727 + 298727.1799993. Let q = -2.78 - -2.6. Let x = q + f. What is x rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 - 56*g - 316. Let h be k(-13). Solve 12 = 77*m - h*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6157843009?\nAnswer: 6157843009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/141888 and 73\/13302.\nAnswer: 425664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.2707 + -47.601951. Let j = i + 5.331276. Let l = j + -5. Round l to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3 - 145*d**2 = 0.\nAnswer: -145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162755 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + 13.2. Let q = -7 + i. Suppose 4*l - 2 = 2*z, -3*l = -5*z + 2*z - 6. Which is the nearest to 0.1? (a) q (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49.7*-17897\nAnswer: -889480.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let z(u) = -8936*u + 11. Give z(m(n)).\nAnswer: -8936*n + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1165854283 + 4327.6?\nAnswer: 4327.7165854283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0 + 47*f**2 + 23\/60*f**4 + 0*f - 8\/5*f**3 + 1\/150*f**5. Solve n(m) = 0 for m.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.4 + 20.4. Sort d, -10, -0.2 in descending order.\nAnswer: d, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13260 divided by -5\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1))\/j*j**(3\/8)*(j*j\/j**(-3\/7))\/(j*j**(-5)*j*j*j))**20 assuming j is positive.\nAnswer: j**(785\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1508500 divided by 4.\nAnswer: -377125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 4. Let n(f) = -f - 6. Let w(p) = -3. Let b(r) = 6*n(r) - 11*w(r). Suppose 5*v - 24 = 1. Let g(k) = v*y(k) + 4*b(k). What is g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 2*m, 5 = 3*m + 3*f - 10. Let a be (3\/(-2))\/(m\/(-16)). Let j = 47\/3 + -241\/15. What is the closest to -1\/4 in j, 3, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 1. Let h(s) = -s - 1. Determine -a(d) + 3*h(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*l + 10*l - 1451875. What is the highest common divisor of l and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -439.7291 + -0.5.\nAnswer: -440.2291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 + 16*t**3\/3 + 41*t**2 + 243*t + 4. Determine p(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let n(b) = -b**2 + 5*b - 16. Let h(d) = -6*k(d) - n(d). Calculate h(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833038629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 882 + -94. Is 42 a factor of -3 + i + -1 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = -4030832. Let z be ((d\/(-24))\/13)\/1. Let l = z - 3253. Calculate the common denominator of l and -8\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r**2*y + 4*r**2 - r*y - 13534*r - 27000*y + 33 wrt r?\nAnswer: 6*r*y + 8*r - y - 13534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -10. Let f be (37 - 1)*8\/y. Solve x + 0*x - f = 5*a, -4*a - x - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-86)\/152 - 4\/(-16). Let m = -80\/133 - g. Suppose 2*c = 5*j + 3*c + 13, 3*j = c - 11. What is the smallest value in m, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39080*y**2 + 145260 wrt y?\nAnswer: -78160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**4 + 119*m**2 + 2*m + 18477 wrt m?\nAnswer: 12*m**3 + 238*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/72 - -67\/792. Factor -2\/11*b + 0 + z*b**3 + 2\/11*b**2 - 2\/11*b**4.\nAnswer: -2*b*(b - 1)**2*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30b (base 15) to base 14\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/612 and -43\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 8*m + 2. Suppose 31 = -4*u - 3*d, 4*d + 0 + 4 = 0. Let n be r(u). Solve 2*y + 4*s - 12 = 0, 3*y + 5*s = 2*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - q**2 + 2*q**3 - 2*q**3 + 2*q**4 + 0*q**4 to v*q**4 + o*q + g*q**3 + l + w*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3992 and 3731480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 19 = -3*s, -2*a + 5*s + 37 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - 1000\/75)*(-1)\/(-8)*2. Factor -2\/3*m + 0 - k*m**2.\nAnswer: -2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1369, -1398, -1439?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 474 = -4*c, -4*v + 992 - 48 = -4*c. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + -19 + (-12 - (-1 - 6) - -27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-7))\/((-2)\/21). Suppose 5*w + 25 = 2*c, -3 + l = c - 5*w. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + (6 - 2) - 312\/105 and 22\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + (-35)\/(-5). Solve m*o - 2 = 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y**2 + 922*y - 15571. Calculate t(52).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*i*r**4 + 2*i*r - 2*i - 11*r**4 + 11*r + 64 wrt r?\nAnswer: 1776*i*r**2 - 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 51002 divided by 7\nAnswer: 7286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6332 is divided by 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(91)\/(sqrt(49)\/sqrt(7))*-3.\nAnswer: -3*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 12875.\nAnswer: -12875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 379?\nAnswer: 37\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17))*2)**2 - sqrt(17) - sqrt(34)\/sqrt(18).\nAnswer: 44*sqrt(17)\/3 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -32*z. Let g(b) = 1. Let c(m) = 2*m - 4. Let l(w) = -c(w) - 4*g(w). What is l(h(t))?\nAnswer: 64*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drirarrrrird. Give prob of sequence irdi.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 39*l**2 + 6*l - 9. Let f(d) = 78*d**2 + 13*d - 18. Let t(p) = -3*f(p) + 7*o(p). Does 9 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h**3 - 1. Let i be s(-1). Suppose 3921 + 1729 = i*x. Is x a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d, -9 = z + 2*z - 3*d. Does 12 divide (5 - 1) + (-116)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 4472?\nAnswer: 40248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36315, 72900, 109687, 146778, 184275, 222280, 260895, 300222?\n\"Answer: 17*h**3 - h**2 + 36469*h - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 242468500 rounded to the nearest 100000?\nAnswer: 242500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -0.9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1 = 17. Suppose 48 = p*d - 105. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 8*h**2 + 6*h + 2. Let x be i(-4). Let d be 6\/18 - (-228)\/(-8)*(-4)\/9. Suppose -x = -t - d*t. Solve 0*f - 6 = -t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + -12 + 12 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -418 - -217. Let y = -72 - s. What is the remainder when y is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21539012 to the power of 1\/2, to the nearest integer?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1382824 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3 - 878*f**2 - 212065*f - 8266800 = 0.\nAnswer: -415, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*x - 139 = 0, 5*x - 8233 = -d - 8177 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 172, 181, 194, 211, 232?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let f(v) = -3. Let i(k) = f(k) - 5*g(k). What are the prime factors of i(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01105 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14a1 (base 15) to base 5\nAnswer: -120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330755050 - -3?\nAnswer: -330755045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:43 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40511 divided by 5\nAnswer: 40511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 77*q - 1 - 83*q to p + d*q and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 10) in base 2?\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.651 - -17.658. Let r = -0.107 + h. What is r rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and (255374\/851)\/(1 - 0) - 6\/69.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 divided by 714?\nAnswer: -222\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**3 + d**3)*(-6 + 5 + 3)*(-3*d + 20*d - 12*d + 10).\nAnswer: 30*d**4 + 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167046 - -67820717\/406. Let s be 118\/(-348) - (-3)\/9. Let m = q + s. What is the second smallest value in -4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3461, 1, -0.3, 1\/3, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y**2 - 528 + 8*y**2 + 94 - 22*y**2 - 142 as o + v*y**2 + c*y and give o.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 52 = 21*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -37. Let b = r + -18. What is the nearest to -0.7 in b, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1221173.037ns?\nAnswer: 0.0000000020191353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -540 + 540. Solve -3*p + 2*p + 5*q + 23 = d, -q = -p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -165*v + 135. Determine x(0).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/15)\/((-23)\/115). Let d be (c\/(-4)*-2)\/(9\/48). Solve -5*f + f - d = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*s + 276 - 211 + 740 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 26*g + 24. Let m(k) = 3*k**2 - 31*k - 29. Does 31 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + 1*sqrt(242)*2*-5)**2 - (4*(sqrt(8)\/sqrt(4)*4)**2 + -4*sqrt(14)\/(sqrt(7)*1))).\nAnswer: -656*sqrt(2) + 24076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -13732642?\nAnswer: 13732637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w - 9. Suppose -2*p + p = w. Which is the second biggest value? (a) 2\/7 (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28139*n + 37996 wrt n?\nAnswer: -28139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17195 + 433941 = -12217*d + 83491 - 350897 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 15.7. Let w = -49.9 - -32.9. Let b = m - w. What is the third biggest value in b, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2239*y**5\/5 + 2313*y + 3357. Find the first derivative of u(f) wrt f.\nAnswer: 8956*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*g - 4*p, 0*g + 3*p - 38 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 18\/(-14))\/((-4)\/(-28)). Let b(p) = -2*p**2 - 2. Calculate b(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most as big as -272\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c + 4. Let p be x(0). Suppose -5*s + 4 = -p*s. Let t(k) = 6*k - 1. Let a be t(1). Put s, a, -0.3 in increasing order.\nAnswer: -0.3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*u**3 + 63*u**3 - 2*u**4)*(1 + 3 - 6) - 12 - u**4 + 3*u**4 + 0*u**4.\nAnswer: 6*u**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 36*x**2 - 155*x - 16. What is b(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + 3 + (2*sqrt(110) + sqrt(110))\/sqrt(10) + 3)**2 + -4).\nAnswer: -720 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939119068?\nAnswer: 2, 234779767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501524 is divided by 578.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -8333?\nAnswer: -24999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.9 times 222.1?\nAnswer: 7307.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100873.8 months in centuries?\nAnswer: 84.0615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40249488.9 to the nearest 1000.\nAnswer: 40249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.1289 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 314*q**2. Let d(o) = 630*o**2 - 2*o. Let t(w) = 2*d(w) - 5*l(w). Let i(y) = y**2. What is t(i(u))?\nAnswer: -310*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 6*x**2 - 2\/3*x**6 + 4*x + 4 - 2*x**4 - 12\/5*x**5 + 8\/3*x**3. Solve n(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 times 2.9693?\nAnswer: -1330.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.6. Let c = q - -0.4. Let y = -50 - -54. Sort 1, c, y.\nAnswer: c, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14257968 - -364953.\nAnswer: -13893015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -265 - 2*f - 272 + 537. Let i(u) = 169*u**2 + 41*u**2 + 189*u**2. Determine i(o(b)).\nAnswer: 1596*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13033685.98 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*y**3 - 4 + 74*y**3 + 3 + 68*y**3.\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a century in years?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 363, 469, 603, 783, 1027, 1353?\n\"Answer: 3*n**3 - 4*n**2 + 97*n + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-18)*-8)\/((-2)\/3324)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/50 - 2*u**4\/15 - 4*u**3\/15 + 16*u**2\/5 + 10*u - 10. Factor o(b).\nAnswer: 2*(b - 4)*(b - 2)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-6) - 35904\/(-144) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1792190.2000002 - -1792190. Let h = 0.2 + c. Round h to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*o - 92*o = 1512. What is the highest common divisor of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-9 - 2) + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -10. Suppose d - 4*h = 8, 1 - 3 = -g*d + h. Suppose d*t + t = 4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4475 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 970688.671178145 + -0.011178145. Let q = 970640.6599965 - l. Let y = 48 + q. What is y rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11487 + 2d3?\nAnswer: 1177a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 11*o**2 + 7*o - 24. Let k be s(-10). Suppose k*h - 333 = 291. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-15))\/(6\/(-2)). Let w = -4 - -7. Let s = -70 - -67. What is the closest to s in 5, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74\/1924*(-5*24\/(-20) - (31 - 9))\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 2)*24\/(-6). Factor 21*w + 11*w + 4*w**3 + 24 + 20*w**2 - z.\nAnswer: 4*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4185285 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/(10\/(-160)). Let r(o) = -o**2 + 11*o - 17. Let t be r(a). Find the second derivative of t*n**5 + 2*n**5 + 11*n - 4*n - 6*n**5 wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12050 is divided by 198.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1368.\nAnswer: -29\/1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1775720190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1178, -13\/582, 4?\nAnswer: 1178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -450 + -25343?\nAnswer: -25803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 4. Give n(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8228 - 8215. Solve 21*w - 34 = -c*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(t + t - t)*(-t - 2*t + 0*t + (4 - 2 - 1)*(-t - 2*t + 0*t)) to z*t + q*t**2 + h and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 2*f = 14, 0 = v - 3*f + 5. Suppose -v*c = -0*b - b + 7, -2*b - 2*c = -4. Let m = 8 - 5. What is the greatest common factor of b and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + 3*a - 2. Let n be u(4). Let i = -3 - n. Suppose -15 = -v - 4*w, -3*v + 14 = i*w - 4. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 7. What are the prime factors of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*s + 186*s = -b + 1737, 0 = -4*s + 5*b + 1378. What is the remainder when s is divided by 108?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 1, p: 4}. Give prob of picking 1 i and 1 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (300\/10)\/10*2\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24853\/5 - 4971. Let n = -0.94 - -0.979. Is n greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1008)\/(-56)*460\/(-414)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/22, -1\/3, 4\/5, -0.4 in ascending order.\nAnswer: -0.4, -1\/3, 4\/5, 19\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11918 and 1062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - 44\/8. Let p be ((6\/16)\/1*y)\/1. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -1, -2 in descending order.\nAnswer: 23, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 34*f - 5*f - 13 = -9*n, -17 - 85 = -12*n + 3*f for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10, 4*l = 5*w - 44 - 10. Calculate the common denominator of 2\/(-2) + (-76)\/18 and (20\/(-16))\/((-1)\/l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b81c (base 13) in base 3?\nAnswer: 1022001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 3*f**4 + (3*f - 2*f + f)*(-f**3 + 2 - 2) + 8*f**4 + 4*f**4 - 19*f**4.\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2297\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 231\/4, -1.3, -0.14?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = -33*u - 36 + 268. Solve -u = -8*x - 52 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let f = -1.3 - l. Let z = 99541 + -895870\/9. Which is the third biggest value? (a) -0.4 (b) z (c) 0.04 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/4 - 3*m**2\/2 - 3*m\/4 + 5\/2 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 81*j - 80*j + 1, -117*j = 2*k + 117. Factor k - 28\/5*g**2 + 4\/5*g**3 + 48\/5*g.\nAnswer: 4*g*(g - 4)*(g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323, 4, 5, -1.\nAnswer: -323, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.716 + -1.294. Let k = h + 0.01. Let v = k + 8.99986. What is v rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2)*12)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -14) + -17 + (5 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35192 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7680057 is divided by 1920010?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n**2 - 83 - 76*n**2 + 30 + 25 + 30.\nAnswer: -149*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - i + 4*i - 4 - i + i**3. Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and 1\/(-12)*(-4)\/((-8)\/(-206)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.00053, -1, -4\/3, 111.75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*-5*-3*sqrt(110)\/sqrt(2))\/(sqrt(539) + 1*sqrt(539) + sqrt(539) + sqrt(33)\/sqrt(108)) + -5.\nAnswer: -5 - 180*sqrt(5)\/127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 90 = 4*h. Suppose 5*l = 4*l. Suppose -3*d + 7 = -s - 6, -2*d + 12 = s. Solve l = -p - 5*u - 1, 4*p - 4*u = -s*u + h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**3\/6 - 2*q. Let b(s) = 33*s + 14. Let y(j) = -35*j - 16. Let h(u) = -7*b(u) - 6*y(u). Calculate h(g(x)).\nAnswer: 21*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3180518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/11 - 1275676*y\/11 + 65064678\/11 = 0. Calculate y.\nAnswer: -637889, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*6\/20*(-8)\/(-12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2 + 2*h**2 + 0 - 2. Let k(f) = -8*f**2 - 4. Let s(o) = -1. Let w(q) = -k(q) + 4*s(q). What is w(n(t))?\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/3, -33, -2\/55 in increasing order.\nAnswer: -33, -2, -4\/3, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1238067*y**2. Let m(r) = -2*r**2. Give i(m(q)).\nAnswer: -4952268*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + 51. Let i = q - 90.06. Which is the closest to 0? (a) -3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16*1)\/((-15*1)\/((-35980)\/1028))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/2, -15, -36?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025150531 rounded to four decimal places?\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2659 divided by -3395\nAnswer: -2659\/3395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 41*b - 1. Let w be p(-2). Suppose -5*k = -2*d + 414, -2*k - 10*d - 174 = -8*d. Let n = w - k. Solve 5*s - 6 + n = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, 1 w, and 1 u when four letters picked without replacement from {n: 3, w: 1, u: 1, r: 5, c: 1, f: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 47778 = 3*t, 2*k + 23070 = -3*t - 24688. Let m = t + 23124. Let u be (-1)\/(-4) + m\/(-8). Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*q + 139*q = -61*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/108 and (-12)\/(-64)*(-564)\/(-18).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/42*1)\/((195\/(-18))\/65).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192 + 247. Suppose 0 = 53*s - o*s + 30. Calculate the remainder when 224 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -905076 divided by -6\nAnswer: 150846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-374003)\/(-131859) - (96\/(-28) - -3)) + (-10)\/65.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - p + 22 = 6*w, p + 28 = 5*w. Let g(s) = -3*s**2 - 7*s. Let b(f) = 2*f**2 + 5*f. Let y be 2\/(-5)*-30 + 1*-5. What is w*g(z) + y*b(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -12. Suppose -b*z = -4 - 8. Let w(d) = -5*d**2 + 5*d + 8. Let g(i) = 0*i**2 + 6*i - 2*i**2 - 4*i**2 + 9. Determine z*g(k) - 7*w(k).\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 39*y + 408 = -40*y. Solve 0 = -y*j - 10 - 58 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 35 + -9 + -10.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 7*d + 81 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008653 rounded to six dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -131*q**4\/12 - 128*q**3\/3 + 126*q**2. Differentiate h(j) wrt j.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 9*((-6)\/(-9))\/1 - -99?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 2, -7090, -16 in descending order.\nAnswer: 84, 2, -16, -7090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -43*y**2. Let b(k) be the third derivative of k**5\/10 + k**3\/2 + 1327*k**2. Determine s(b(q)).\nAnswer: -1548*q**4 - 1548*q**2 - 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 13 = 5*p + 14 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -11022301.\nAnswer: -11022304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 1065 + 67 - 5*v**2 + 520 in the form z*v + k + u*v**2 and give k.\nAnswer: 1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 9*b\/2.\nAnswer: b*(b + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 202?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8848 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170, -303, -336, -215, 114, 705?\n\"Answer: 9*c**3 - 4*c**2 - 184*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 55 - 27 = 0. Let w = -21 - y. What is the least common multiple of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - j - 3*j - 1. Let m(t) = -8*t + 7. Determine -2*m(g) - 14*y(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 1 - 1256\/(-8). Suppose -111 + w = 3*b. Calculate the remainder when 193 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6577 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(420\/24) + (-592)\/(-20). What is the highest common factor of b and 2910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 - 1099. Let c be 2\/(-4) - b\/6. Let t = c + -1487\/15. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 0.07503?\nAnswer: -0.0060024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -0*m - 4*m + 2*u, 2*m = 4*u + 34. Let k = -6 + m. Let o(i) = i**2 - 4*i + 4. Determine o(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 5 + 9 - r**4 + (0 + 0 - 2*r)*(2 + 2*r**3 - 2) - 4*r**2 + 2*r**4 + 4*r**2.\nAnswer: -5*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/48)\/1*11\/(-22)*210\/7.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 255981073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t**3 - 1. Suppose 0 = -3*j - 7 + 10. Calculate the remainder when a(j) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9292 is divided by 1858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.04. Which is smaller: f or 0.29?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*h + 20 - 2, -2*i = 4*h. Put -4, 1, h, 3 in decreasing order.\nAnswer: 3, h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -298366.66 and 32.6?\nAnswer: 298399.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-798)\/57*55\/(8470\/44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from yynyypyydydyy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 12 = -2*t, 2029 = -3*j - 5*t + 2038 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:25 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8998 (base 10) to base 14\nAnswer: 33ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 259 - 42*x + 14*x.\nAnswer: -28*x + 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*2)\/(60*(-22)\/528).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 3, 2.\nAnswer: -2, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 7*t + 8. Let i be (2\/t)\/((-6)\/36). Let k(c) = c**2 + 1. Let s(j) = -3*j**2 + 3*j - 4. Let h(v) = i*s(v) - 6*k(v). Solve h(z) = 0 for z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 6 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 815176 to the power of 1\/2, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 9*b**2 - 13*b + 5. Let d be c(6). Let y = d + -28. Suppose -h + 92 = -t, 3*t = 4*h + y*t - 336. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 13*o + 11. Let q be y(12). Let p = -0.0673 + 0.0673. Which is the smallest value? (a) p (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -12284.\nAnswer: -165\/12284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75691.28 years in centuries?\nAnswer: 756.9128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttdtddttttdtdtd. What is prob of picking 1 t and 2 d?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/3 (b) 0.2 (c) -2 (d) 129 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610620?\nAnswer: 2, 5, 11, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3677818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318 divided by 8?\nAnswer: 659\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:02 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 9*b + 0*b**3 + 0*b**2 - 1\/12*b**4 - 2. Let y(x) = 106*x**2. What is o(y(n))?\nAnswer: -11236*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 951103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21451601?\nAnswer: 37, 579773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4502*m*w**2 - 113*m - 7*w wrt w.\nAnswer: 9004*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11853019 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.58 + -20. Let l = 0.57992 - g. Round l to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-753417)\/(-77) - (-32)\/88. What is n rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 16 + 6 + -14 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 913 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 55.0451, 2, -1\/8, 0, -2\/5?\nAnswer: 55.0451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {a: 2, y: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/((-1)\/(-4)). Let k(r) = 11*r - 6. Does 19 divide k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -447 + 446. Calculate the remainder when 453 is divided by -2*1 + (-603)\/(w + -8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let v(u) = 10*u**2 - 2*u. Suppose -79*f - 10 = -89*f. Calculate f*v(y) + 2*g(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let v = d - 9. Let i = -6 - v. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 1540*q**2 - 1526*q + 12325. Calculate c(-771).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 8. Let i(q) = -2*q + 8. Let s(o) = -3*h(o) - 2*i(o). Let v = -2 - 7. Let g(c) = 5*c + 33. Let j(b) = v*s(b) + 2*g(b). Give j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -671c?\nAnswer: -671b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9*x = -14. What is the tens digit of (-1*x\/(-4))\/((-26)\/(-10088))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 51 - 35 = 2*z, u + 2*z = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y + 85. Let b(f) = -f - 6. Let j(q) = -85*b(q) - 6*p(q). Let a(w) = 2*w + 5*w - 5*w. Calculate j(a(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140581762 less than 4.1?\nAnswer: 1140581766.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:29 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.45443mg?\nAnswer: 9454.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565798 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n + 4. Let v be (-2)\/(-4) + n\/4. Solve u + 4 = 5*d - 4*d, v = 3*d + 5*u + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/2 + 89\/6. Let o = 5 - 8. Which is the nearest to -0.1? (a) u (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + t. Let w(l) be the second derivative of l**5\/120 + l**4\/4 - l**3\/2 - 4*l. Let g(k) be the second derivative of w(k). What is g(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*t**2*y**3 + 2*t**2*y**2 + 8*t**2 - 5*y wrt y?\nAnswer: -1686*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 - 30565*u**4 - 306065*u**3 - 520415*u**2 - 244920*u = 0.\nAnswer: -8, -1, 0, 6123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -5)\/((-6)\/(-373242)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -13, 12, -5, 1 in decreasing order.\nAnswer: 12, 11, 1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112659 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 3, t: 1, f: 1, v: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03493 + -0.0443. What is z rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 529\/4 - (6\/(-24))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2731887 and 79\/435.\nAnswer: 13659435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/7 - 132*h**2\/7 + 1721*h\/7 + 3978\/7.\nAnswer: (h - 117)*(h - 17)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-555)\/(-60) + (-3)\/(-4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/2 + 21*c + 3. Let n(b) = -13*b. Calculate q(n(u)).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0005, -46, 709.\nAnswer: -46, -0.0005, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 36 = -7*f. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by ((-1)\/(-1) - -1)*(-114)\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433484*a**4 + 550*a**2 - 372858512 wrt a?\nAnswer: -1733936*a**3 + 1100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (4 - 5 - 2)*(5 + 0 - 4) + 1 + 1 - 3)*(14 - 5 - 5)*((-2 - 2*g + 2)*(-4*g - g + 4*g) - 2*g**2 - 2*g**2 + g**2).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 2 + -3 + 5 + (60 - 11 - 50).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**2 + 2*c**2 - 2*c**2)*(-1 + 2 - 2) + 399 - 401 - 3*c - 117*c**2 + 80*c**2 in the form k*c**2 + l + y*c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(432)*-5 + sqrt(432)) - (-3 + (sqrt(432) + sqrt(432) + 4)**2 + sqrt(432)))*-3*2.\nAnswer: 432*sqrt(3) + 62676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/420 + w**6\/80 + w**5\/120 - w**4\/16 - w**3\/6 + 179*w**2. Let a(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.0000256 + -61. What is p rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40639, 162604, 365889, 650500, 1016443?\nAnswer: 1463724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 10 = 20. Let p be (-21)\/(-15)*(-1 + (1 - -5)) + -5. Factor -1\/3*c**p - 2*c + 0 + 1\/3*c**4 + m*c**3.\nAnswer: c*(c - 1)*(c + 1)*(c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0, -26\/177?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.084 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 141039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmmmmmmmmmmm. Give prob of sequence mzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, m: 5}. Give prob of sequence mmm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 630 = 8*q. Let m = 116 + q. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:40 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.29133 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*l - 2022, 4044 = -2*f - 4*l + 6*l. Let h = f - -2978. List the prime factors of h.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3*j + 5*j)*((j + 2*j - j)*(317 - 317 - 83*j) + (1 - 1 + 2*j)*(-2*j - 2*j + 6*j)).\nAnswer: 486*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47250)\/(-2100) - (-64)\/(-3)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**4 - 6*y**3 - 9*y - 6. Let d(l) = 9*l**4 + 5*l**3 + 8*l + 5. Let p(t) = -6*d(t) - 5*o(t). Find the second derivative of p(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112220 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/96 - 5\/(-4)*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 - 5 = 0. Suppose 2*y + h = -y. Which is smaller: y or 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282448\/45 - -29687\/5. Let n = -339 - c. Factor 0*u + 0 - n*u**2 - 2\/9*u**3.\nAnswer: -2*u**2*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. What is the third derivative of -2*p**6 + 0*p - p**2 + 0*p**2 + w*p wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(156) - 2*sqrt(156)) + sqrt(156))*2 - sqrt(156)) + (sqrt(156) - sqrt(156)*1)*3 + sqrt(156))\/(-6*(sqrt(12) + -2*sqrt(12))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611823990?\nAnswer: 2, 3, 5, 2069, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = -9. Suppose -2*n - 14 = -2*q, 1 = -v*n - 4*q + 2*q. Sort 2, -5, n in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 98981 + 3*q - 98984 + q**3 + 3*q**2 - 6*q**2. Let i(k) = k + 5. Let n be (-1 + -1)*(-6)\/(-4). Let b be i(n). Calculate u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*n**2 + 180*n**2 - 3*n + 153*n**2 + 3*n + 151*n**2.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412.084 years in centuries?\nAnswer: 64.12084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48901 in 0.3, -2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/6 - 280439*m**2\/3 - 13107578640*m + 26215531200 = 0. Calculate m.\nAnswer: -280440, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 123*n**2 - 18*n - 2180. Calculate p(-123).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -44. Let y = -5 - h. Let o = y + 33. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 90, 88?\n\"Answer: -2*d + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1124, -1106, -1076, -1034?\n\"Answer: 6*o**2 - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 600207306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875473 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 13\/((-104)\/(-576))*2\/6 + -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**7)\/g**(-2\/15))\/(((g**2*g)\/g)\/(g**(-4\/9)*g)) assuming g is positive.\nAnswer: g**(301\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.043 + -0.043. Let g = 184.5 - 196. Let x = g + t. Round x to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94027.05ng to grams.\nAnswer: 0.00009402705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from yoddyoyyryyrdyr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0*z = -3*v + 12, 15 = 3*z + 2*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 30 + 130 = 0. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24799925 less than -0.175?\nAnswer: 24799924.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287 (base 12) to base 5.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -7, 6, 1, 3, 9 in decreasing order.\nAnswer: 9, 6, 3, 1, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -199221.7 to the nearest 1000.\nAnswer: -199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52882 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 3.33. Let m = -2.99 - 0.01. Let f = u - m. What is f rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 125, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**6 + 45*i**3 - 992*i**2 wrt i?\nAnswer: 480*i**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -156*s - 39. Let c(a) = 1. What is -39*c(b) - i(b)?\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13590826 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 15*m - 12*m + 6502, 0 = 5*y - 4*m - 6496. Calculate the greatest common factor of y and 3097.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**2*w**2 - 7*g**2*w + 5*g**2 + 29*g*w**2 - 2*g*w - 3*w**2 - 2 wrt w.\nAnswer: -20*g**2 + 58*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2869? (a) -1426\/13 (b) 13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*s + 5*b, -b - 30 = -4*s - 3*b. Suppose 0 = s*r + 29 - 109. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 1)*(-32)\/(-6). Suppose 0 = 12*g - s - 144. Solve -b + g = 3*u, 24 = u + u + 4*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3508203 is divided by 43311.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g + 97. Calculate u(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1100) - (sqrt(1100) + sqrt(1100) + -1))*-1.\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 8*r**2 - 131 + 255 - 2*r**3 - 125 in the form w*r**3 + p + b*r + k*r**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -111*z**4 + 10*z + 37. Let y(g) = -5*g - 12*g - 20 + 112*g**4 + 5*g - 18. Let n(d) = -6*o(d) - 5*y(d). Find the first derivative of n(q) wrt q.\nAnswer: 424*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/6*(-9)\/20. Let l(c) be the second derivative of -c**5\/20 - 7*c**4\/3 - c**3\/6 - 31*c**2\/2 - 91*c. Let k be l(-28). Is t greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 75. Suppose 2*t - 4*t = -n. Solve 2*o + t = i, 0 = -4*o + 4*i - 14 - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649093 - -4.\nAnswer: -649089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*n - 6 = 0, 279*n - 185 = -47*j + 282*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1831, 1764, 1587, 1246, 687?\n\"Answer: -9*h**3 - h**2 - h + 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:29 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1997830821 to the nearest integer?\nAnswer: 44697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from {k: 5, l: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1837, -2106, -2353, -2578, -2781, -2962?\n\"Answer: 11*r**2 - 302*r - 1546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:13 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.3 + 1.7. Which is greater: y or 2.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4.8. Sort -2, o, 0.4.\nAnswer: -2, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3209 + 3215. Sort 599, -5, -4, k, 4 in decreasing order.\nAnswer: 599, k, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4651 is divided by 521.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -12*s + 2*w - 216, -4*s - 60 = w - 18 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 37756089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 36*g - 680 = 0. What is the remainder when 795 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 140633*c. Let b(i) = 2120*i**2. Determine k(b(z)).\nAnswer: -4494400*z**4 + 298141960*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/355? (a) 642 (b) -2\/15 (c) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177660274?\nAnswer: 2, 11, 173, 46679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:05 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d. Let w(q) = -q + 2. Let v be w(d). Solve -v*g + 6*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 15) in base 11?\nAnswer: -749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.795 and 0.\nAnswer: -4.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 - 28400*r = 0.\nAnswer: 0, 7100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 470851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1452\/(-140) + 3\/(-15). Let m = 1400 + -1410. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14295, -59, -1\/5 in decreasing order.\nAnswer: 14295, -1\/5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2416 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(605) + 0))**2 + -2*(sqrt(25)\/(-1*sqrt(5)) - sqrt(5)).\nAnswer: 4*sqrt(5) + 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (3 - 5 + 1)*(4 + 2 - 4))*(-7 - 5*p + 7) - 672*p + 607*p - 848*p.\nAnswer: -908*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198866668 by 7648718.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-41.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2 + (-30)\/(-16)). Suppose 5*v = -4*q + 3*v - l, 0 = -4*q + 3*v - 26. Let b be (-2)\/(-4*(-3)\/24). Is b < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50344048 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*x - 408*x - 368 = -227*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(85041\/10308)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:04 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (39 - -32) - (-12 + -3 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)\/(5\/10). Suppose 5*k - 11 = -3*r - r, 3*r = 12. Let l be (k - 3\/(-5))\/1. Put 0.2, j, l in descending order.\nAnswer: j, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -399\nAnswer: 478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285712?\nAnswer: 2, 205357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3861, -7720, -11579, -15438?\nAnswer: -19297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 1. Let g = 2.2 + u. Round g to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*z - 6210 = 0, -3*r - 2*z = -r - 2484. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -24148?\nAnswer: 24151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**4\/24 - j**3\/6 - 4*j**2 + 81*j. Suppose 5 - 2 = -3*z. Let n(q) = 2*q**2 + 5*q + 5. What is z*n(f) - 4*x(f)?\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)*y)**(-4\/5)\/(y**2\/(y\/(y*y**(-5)*y))) assuming y is positive.\nAnswer: y**(42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**6 + 58*b**5*v**2 - 2*b**2*v**2 + 3*v**2 wrt b.\nAnswer: -480*b**3 + 3480*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185304528 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*c - 8 = 0, 0 = 2*z - 31*c + 30*c + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**5\/120 + 7*n**4\/24 - 4*n**3\/3 + 2. Let z(g) be the third derivative of u(g). Let f = -1 + -5. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, h: 5, m: 6}. What is prob of sequence ymhm?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 57.1436. Round c to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/5 + (-1)\/5. Let k(h) = 85*h + 6*h**2 - 45*h - 39*h - 1. Let r be k(-1). Solve r*y - 2*y = z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/4 - 7*n**3\/3 - 2*n**2 + 6*n - 1. Let m be t(7). What is the units digit of (-4)\/m - (-42)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -101. Let h be (-450)\/v - (4 - 0). Let u = h - 82. Solve -d - u = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 5*b**2 + 3*b. Is o(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 2\/(4\/6). Suppose 20 = -3*a + w*a. What is the second derivative of 3*i**4 - 3*i - 3*i**4 + i**a + 4*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 - o**5\/15 - o**4\/24 + 2*o**3\/3 + 14*o**2. Let m be ((-12)\/20)\/((-3)\/(-15)). Determine t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-8)*4\/(-1). Let g be 14\/m + 3\/(-9). Let a(q) = -q**2 + 6*q - 2. Let t be a(5). Solve g*b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 6. Let d be (-1)\/(((-3)\/v)\/1). Let q(m) = m**3 - 5*m**2 - 4*m + 2. Is q(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 28*h + 7*h + (0 + 0 + h)*(1 - 5 + 3) - 16*h + 3*h + 11*h.\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 1333*n + 1337*n - 44 = 0, -5*l - 50 = -7*n + 3*n for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0671655 micrometers?\nAnswer: 0.0000000671655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54962518939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4357771 by 10351.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1078\/110)\/((-1)\/10).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**4\/7 - 3950*f**3\/7 + 188*f**2 = 0 for f.\nAnswer: 0, 1\/3, 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*h - 6 = 0, 4*h + 0*h = 12. Suppose 5*l - 3*n - 10 = 0, -l + 8*n - 4*n - f = 0. Solve -2*m - b = -1, -5*m + l - 1 = 2*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 134\/11, 4 in increasing order.\nAnswer: -1, 4, 134\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 2*i + 2*i)*(2*i - 7*i + 0*i).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9)*l*l\/(l*l**(-1)*l)*l)\/(l**1\/l)**(-22))\/((l**(-3\/7)\/((l\/((l*l*l**(-2)*l)\/l))\/l))\/((l**(-1\/10)\/l*l)\/(l**(-2\/9)\/l))) assuming l is positive.\nAnswer: l**(-3433\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n**2 + 503*n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2\/4 + 954225*w\/2 + 182109070125\/4 = 0.\nAnswer: -190845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3245368 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {l: 2, s: 1, k: 2, r: 2, m: 1, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(16\/11)\/(b*b\/(b\/(b*b\/b**(-2\/47))))*(b\/b**(8\/7))**(-2\/9) assuming b is positive.\nAnswer: b**(-50689\/32571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -897\/57617 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 100 - 322. Suppose -2*z + x = -38. Let g = z + -53. Solve 7*h - g*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/13 (b) -3 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3411 + 1?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 2*v**2 + 7*v + 6. Suppose 23 - 2 = -7*b. Let y be n(b). Which is greater: 49 or y?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494921888.\nAnswer: 2, 29, 533321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -11313\nAnswer: 13\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q + 11. Give c(7).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/11 + 11606*n\/11 + 81144\/11 = 0.\nAnswer: -5796, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792357819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-6)\/4*1. Let m be 2\/4 - 77\/(-14). Find the first derivative of -i**3 + w*i**3 + 3 - m + i**3 wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*2 + 3)**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*m + 1, -2*m + 7 = 4*w + 1. Let i be -3*(-7)\/(21\/(-2)). Put 2, i, -20, w in decreasing order.\nAnswer: 2, w, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 14. Let a be j(-12). Let l = 6 + a. Suppose 0*y - 3*h - 27 = -l*y, 0 = 5*y + 2*h - 28. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1297, 1\/10, 1\/3 in decreasing order.\nAnswer: 1297, 2, 1\/3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u**2 + 20*u**2 + 3857*u**3 - 7697*u**3 - 48*u**2 + 3841*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - -9 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16445425 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30020 divided by -7505.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 - ((0 - -2) + (10 - 1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -2) + -9 - (39 - (185 + -130))) + -72.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 119\/21 + 6\/(-9). Solve -6*b + 25 = -b, 2*p + b + a = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s - 8. Let l be c(7). Suppose -f = f - l. Suppose 0 = -2*a - p - f*p + 50, 0 = 5*a + 5*p - 140. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 24*k - 23 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*w + 25, -s + 3*s - 4 = -3*w. Suppose 0*c + s*c = 0. Suppose -3*q = 5*a - 95, c*q + q = 2*a - 27. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 25 - -17 - -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -29*l**3\/6 - 17*l**2\/2 - 12*l. Let x(j) = -5*j - 3. What is -34*x(a) + 6*y(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 27 = 13*u - 3*b, -1 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779448 divided by -691.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5124.622 and -0.4.\nAnswer: 2049.8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/7 + 16986*f**2\/7 + 683040*f\/7 + 6842400\/7 = 0. What is f?\nAnswer: -20, 5702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 8*o + 3*o + (2*o - o + o)*(0 + 0 - 1) to v*o + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304785 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let r(u) = -28449*u. Give k(r(i)).\nAnswer: -85347*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x + 10*x - 7*x - 4*x + 3*x + 3*x + (-2 + 1 + 3)*(-3*x + x + x) + 4 - 4 - x + (-1 + 1 + 1)*(-1 - 2*x + 1) + 1 - 1 - x as l + h*x and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and 0.8.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 42. Let v(w) = -w**2 + 29*w + 6. Let g be v(29). What is the remainder when (9\/g)\/(6\/164) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3842\/1808 + (2 - 4))\/((-1)\/(-136))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 25?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.751, -3 in increasing order.\nAnswer: -3, -0.4, 0.751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -12\/16433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06034 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*f + 6*f - 68, 0 = -5*f - 3*u + 192. Let p be 1\/(-3)*-2*f. Let o be p\/(-20) - (-4)\/(-5). Let v(s) = -2*s**3 - 2*s**2 + 3*s + 3. What is v(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(720)*5 - (sqrt(720)*-3 - sqrt(720))*5).\nAnswer: -1500*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18073197*n**2*p**3 + 4*n**2*p**2 - 4*n*p**2 - p**2 + p - 3894 wrt p?\nAnswer: 108439182*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620800 is divided by 5969.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t - 4. Let c(q) be the second derivative of q**4\/6 - q**3\/6 - 7*q**2\/2 - 2*q. Let w(v) = 6*c(v) - 10*i(v). Is w(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*a + 284*a - 43*a to the form z + n*a and give n.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-260)\/(-125) - (-16460)\/500. Solve -37*v = 2*d - f*v + 14, 0 = -5*d + 2*v - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -50. Suppose -u*m - 5 = -110. Calculate the lowest common multiple of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 5, 2.87 in ascending order.\nAnswer: -0.5, 2.87, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250 + 1734. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1020 and -91\/4474128?\nAnswer: 22370640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14950 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50858 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 1078650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20145118 or 20145106?\nAnswer: 20145118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 2*l - 22, 5*l + 6472 - 6499 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -1 - ((-2 - -4) + 110 + -116).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h + 8. Let u(b) = 9*b + 4. Give 4*r(x) - 7*u(x).\nAnswer: -3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 518, 510, 504, 500, 498, 498, 500?\n\"Answer: g**2 - 11*g + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -60?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 757585120 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 10. Suppose -3*n + 6*n - 2 = 2*a, 5*n = 2*a + 10. Suppose n*p - 3*i - i = 16, -2*p - 2*i + 24 = 0. Put p, s, -5 in decreasing order.\nAnswer: p, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + 1. Suppose 0 = 4*d - 3 - n. What is the units digit of ((-8)\/(-10))\/(d\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -y + 17, 2*y = 3*m + 2*m - 1. Suppose a - 3*a + 32 = 0. Let s = y + a. Calculate the least common multiple of 5 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 41 (b) 2 (c) -4 (d) 0 (e) -1 (f) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*h = d, 2*d - 25 = -h. What is the lowest common multiple of 10 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161 + 163. Suppose 3*u + c*s - 200 = 0, -153 - 72 = -3*u + 3*s. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7958 or 7936?\nAnswer: 7958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19255 - 19254. Which is smaller: c or -4\/10573?\nAnswer: -4\/10573","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -4264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -0.09 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86393.648 rounded to the nearest one hundred?\nAnswer: 86400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 + 356. Suppose s + s - m*y = 61, -4*y - 23 = -s. What is the remainder when 85 is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000313467 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from seggusegugss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 8:50 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = -5*r, 4*r - 2*r + 6 = 3*u. Suppose 0 = -y + 4*v + 13, u = 2*y + 3*v - 6 - 42. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703482 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(9\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = -h. Let x = 19 + -16. Let c(u) = -12*u**x - 2*u**2 + 26 + 2*u - 3*u**2 + 4*u**2 - 27. What is c(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98444 is divided by 864?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 + j + 4. Let m be g(-3). Let z(l) = l**2 + l + 4. Let n be z(3). Let o = n + m. Let b(x) = -x**2 + 1. Calculate b(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8096052 is divided by 207591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 3, a: 1, u: 5}. Give prob of picking 2 p and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, 1 e, and 1 r when four letters picked without replacement from {e: 3, q: 1, v: 2, r: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -20 + (8 + -6 - -13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8834*l = -8852*l + 594 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 127, 31, -115, -311?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4\/3 (c) 5 (d) -6 (e) -440\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 + 23*j**3 + 231 + 243 - 7*j**3 - 724.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -8\/13*z**2 - 8\/13*z + 8\/13*z**4 - 6\/13*z**5 + 0 + 14\/13*z**3 = 0.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 5)*(588*i - 1175*i - 38 + 611*i) + 5*i - 2*i + 0*i.\nAnswer: 171*i - 266","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 6. Let n be f(0). Suppose -n = -4*x + 18. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = 69 - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 5214?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.508286 * -52.6\nAnswer: -26.7358436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-11))**(6\/13)\/((g\/g**(-5))\/(g\/g**26)))**48 assuming g is positive.\nAnswer: g**(-22224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11560796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46405795*x**3 - 3*x + 323146846 wrt x.\nAnswer: -139217385*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -168?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*t - 308*t = -116*t - 18610119. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 165105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10925 and 2755?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/5)*b\/b**2)**(6\/25) assuming b is positive.\nAnswer: b**(-66\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Let z = 6.3 - 6.6. What is the closest to -2 in p, 1\/12, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 - -162. Suppose 85 = f + 4*f. Let k = -14 + f. Solve -k*n = -c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 19328853.\nAnswer: 9664426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i**3 - i**2 - i - 1. Let r be u(0). Let h(m) = m**2 - 8*m + 5. Let l(c) = c + 2. Let t be l(5). Let f be h(t). Is f != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 2452.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.273462 hours to minutes.\nAnswer: 316.40772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1328 + -1174. Calculate the smallest common multiple of 66 and p.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 91*i - 650*i + 17360 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -v + 157 - 155, v = -2*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -42*g - 9*g + 134*g - 6*g. Let t(x) = 8*x**2. Calculate t(v(k)).\nAnswer: 47432*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 174. Let m = 3.2 + 0.8. Let l = m + -4.1. Sort x, 0.4, l in decreasing order.\nAnswer: x, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = 3*g. Suppose 0*r - g*r = -140. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10230 by -93.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*w + 18 = 0, 5*k + 4*w - 2*w - 13 = 0. Let f = -2 - -1.2. Let m = 1 + f. Which is the nearest to k? (a) 1\/3 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7709*c**2 + 3856*c**2 + 3857*c**2 + 1. Calculate f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (2 - 132))*1. Let o be q\/(-21) + 6 - 2\/6. Find j such that -3*j**2 + 0*j + 5*j**3 + 0*j - 20*j - o*j**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 5*n - 3. Suppose i + 4*i = 25, 0 = -5*j - i - 20. Is 43 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = 4*j - 2*j, -z + 3 = 2*j. What is the third derivative of 0*i**5 + i**5 - i**2 + 9*i**j wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4404 (base 7) in base 12?\nAnswer: ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -193 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1168410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:56 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b = -p + 43*b + 36, -30 = -2*p - 4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*f - 80 = 12, -2*w - 4*f = -56. Suppose -111 - 229 = -w*u. Calculate the remainder when u is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -138. Let y = m - 63.9. Let d = y - 1.1. Which is the closest to 0.2? (a) d (b) 2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4291034*b**2*d + 11*b**2 - 1557318*b - 13*d + 8 wrt d?\nAnswer: 4291034*b**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 15. Let o(u) = u - 8. What is 6*n(k) + 11*o(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1181 + -0.0581. What is the closest to -1\/6 in n, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfw when three letters picked without replacement from puwoppwpwmpfpmppf?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 217*c**4 + 13*c**3 + 46 - 48 + 215*c**4 + 0*c**5 + c**5 + c**5 + (-2*c**4 - c + c)*(3*c - 3*c - 2*c) + 1 + 3*c**5 - 1 + c**5 + 0*c**5 + c**5.\nAnswer: 10*c**5 - 2*c**4 + 13*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 344, 1179, 2546, 4421, 6780, 9599, 12854?\n\"Answer: -4*y**3 + 290*y**2 - 7*y + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165\/4 + 41. Let j = 2.59 + -1.59. Which is the closest to d? (a) 0.3 (b) 3\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 2?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 8 = 26*n. Let w = 1.02 + -1. Let t = 2.98 + w. Which is the second smallest value? (a) n (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.89 and -0.0469.\nAnswer: 1.8431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18\/35 (b) 3 (c) -0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -983 (base 10) in base 16?\nAnswer: -3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 600 = k, -3617 = 4*k + 2*x - 1187. Is k < -609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5096 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -11.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {r: 4, v: 3, k: 2, o: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7898 - 7898. What is the nearest to r in -5\/28, 0, 6, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/22 - (-12)\/66. Let w(z) be the first derivative of 0*z**3 + 1\/2*z**4 + 1\/2*z**2 + k*z + 1. What is the second derivative of w(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5319*b - 1542*b + 9939*b - 1545*b - 1540*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)*u\/(u\/u**9))\/((u\/(u**9*u)*u)\/((u*u**6*u)\/u)))**34 assuming u is positive.\nAnswer: u**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 2 = 7*h, 4*x - 55 + 79 = -4*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11759111 and -3.51.\nAnswer: -11759114.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) -3 (d) -5 (e) 8.58 (f) 0 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. What is the smallest common multiple of 4 and (-1 - k)\/((-5)\/(-80))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1512)\/420*(-5)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 3*y - 39. Let s = y - -15. Let q(t) = 19*t**2 + 7 - 11*t**2 - 7*t**s + 8*t. Give q(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153.1 and 31.\nAnswer: 4746.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53557041368.125 and 0.4.\nAnswer: -53557041367.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b4379 - -8d?\nAnswer: -b42ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n)**(6\/7)*n**(-4\/9)\/n**(2\/5) assuming n is positive.\nAnswer: n**(-3212\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(11)*2 - (-4 + (sqrt(176))**2)).\nAnswer: -175 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g - 7. Let v(s) be the first derivative of s**3\/3 + 3*s**2 + 6*s + 6. Let x(z) = 6*p(z) + 7*v(z). Let n(o) = -11*o. Determine x(n(w)).\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 - 2211120122100?\nAnswer: -2211120200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 3*m - 55 = q, -17*m = 15*m - 43*m + 6*m + 3*q + 49 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - u)*(1 - 1 - 2*u)*(143*u**2 - 226*u**2 - 407*u**2).\nAnswer: -1960*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**2\/3 + 30844*x\/9 - 25720\/9 = 0.\nAnswer: -1286, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**7\/210 - t**4\/24 - 5*t**3\/3 - 4. Let r(f) be the third derivative of l(f). What is the first derivative of r(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 = -2*o, -3*o - 2*s - 10 = 4. Let p be 2\/(o\/(-2))*0. Factor 4 + 2*t**4 - 2 + 8*t + 8*t**3 + 12*t**2 + p*t**2.\nAnswer: 2*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*g + 12 = 0, -g + 6*g + 10 = 0. Suppose 3*u = -k*n + 1015, 5*n + 9 = 19. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + i**2 - i - 1. Let s(g) = 703*g - 5604. Calculate the remainder when s(8) is divided by a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 14 - 20. Suppose -i*w + 1268 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 16. Let a be b(11). Suppose 65 = a*r - 0*r. Let j = -1 + r. What is the highest common factor of j and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -2 + 18\/2. Suppose 3*d + q = 2*d - 5, -s*q = 5*d + 24. Let p(t) = t**3 + 5*t**2 + 2*t + 3. Give p(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 13) to base 2.\nAnswer: 1000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.1, 14\/2638837?\nAnswer: 14\/2638837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -2 (b) -406 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, -4, 2, 10 in descending order.\nAnswer: 10, 9, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 10643?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 d when three letters picked without replacement from {s: 4, p: 8, d: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -107, -218, -373, -572, -815?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 715. Calculate l(-44).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 9*g**2 - 9*g - 4. Let p be c(-8). Suppose z = 2*z + p. Put z, 3, -2 in ascending order.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 8. What is the smallest common multiple of 2 - 2\/(-2*1) and y(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18608 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*d**2 - 55*d**2 + 112*d**2 - 208*d**2.\nAnswer: -394*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-17 + (63 - -12 - 0))) + -1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 39*m - 241. Give y(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707633989?\nAnswer: 707633989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by -1175?\nAnswer: -267\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*v**3 + 3*v**3 - 14*v**3 - 39*v**3 - 17*v**3 + 11*v**3.\nAnswer: -146*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*17\/340*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*q = -134*q - 25. Let y be (0 - 1)\/((-2)\/(-16)). Let x be 2\/y - 6\/8. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462.41583 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -8. Let h(i) = -16*i + 11. Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099198 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 73?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*i + 27450, -3*i - 3447 = -4*a + 24018. Does 143 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 969*s - 60138. Give w(-73).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*r - 257*r + 131*r + (3 - 5 + 1)*(-4*r - 20*r + 6*r) in the form x + p*r and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.26 - 14. Let u = h - -0.04. Which is the nearest to u? (a) -1 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96519278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 612.2 - 612. Let q = 4.02 - 0.02. Which is the nearest to -3? (a) q (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84072\/225435 - 6\/105*1?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*((-4*sqrt(484)*-1)\/(sqrt(11) - sqrt(2156)) + -1).\nAnswer: 24*sqrt(11)\/13 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10812 and 96?\nAnswer: 86496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let l(b) = -14*b**2 + 70*b. Suppose 2*n + 2*c = 12, -125*c = 3*n - 128*c + 12. Calculate n*l(w) + 70*z(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18222?\nAnswer: 2, 3, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 149.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/(-9))\/2 + 2. Let i = 48 - 72. Let p = i + 27. What is the closest to b in 0.2, -3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)\/(2\/(-4)). Let v(j) = -4 + 0*j**2 + j**t + 1 + 2*j. Let k be v(-3). Solve k = 4*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*y = -319, -5*y + 452 = 3*x - 36. Calculate the remainder when x is divided by 85.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3)*3)\/(48\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0 + 9*f - 3*f**2 - 1 + 3*f**3 - 8*f + f**3. Is i(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 124, 202, 292, 394, 508?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = i + 2252, 1500 = 2*p - i. Let u = -9 + p. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*k + 73 = 0, 3*k - 94 = 4*w + 198. Are -74 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 10*q**2 + 7*q - 7. Is i(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7349.6 - -7350. Which is the closest to 2? (a) 341 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 17. Let i be t(-3). Let o(r) = 11*r - 34. Let m be o(i). Let k = 23 - m. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57643 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 181*s**2 + 173*s + 1358. Give f(180).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*h**3 - 2*d**3 - 128*d**2*h - 673*h**3 - 2*h wrt h?\nAnswer: 18*d**3*h - 4038*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/3 + 448*z\/3 + 12544\/3.\nAnswer: 4*(z + 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8337010.\nAnswer: 2, 5, 11, 19, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209985 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493412 and 116028?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krvs when four letters picked without replacement from rssyyrmyksyrrvkrvr?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -312.8 + -1128.2. Let y = -1440.9998637 - x. What is y rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 145*t - 6412. Let x(r) = 91*r - 4275. Calculate 5*l(w) - 8*x(w).\nAnswer: -3*w + 2140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-364)\/72)*(-4)\/(-12).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:55 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*k**3*n + 23672*k**3 + 12*k*n - 7*k - 68*n + 2 wrt k?\nAnswer: -84*k*n + 142032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 24. Let v(f) = f. Calculate w(v(s)).\nAnswer: -2*s + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3621, 3631, 3641, 3651, 3661?\n\"Answer: 10*u + 3611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614982 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: List the prime factors of 21243329.\nAnswer: 23, 379, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4401595 + 4401595 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 17*a - 14. Let k be o(14). Calculate the greatest common divisor of k and 952.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 19 = 26*y - 24*y, -49*y = -48*y - 9*k - 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 1396. Let u(q) = 9*q + 1389. Calculate -3*c(p) - 2*u(p).\nAnswer: 3*p + 1410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10*d - 11*d - 46 = 0, 2*d + 68 = 3*k. What is the least common multiple of k and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 223*t = -226*t + 35, 0 = 4*x - t + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvlflz. Give prob of sequence lvl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1\/3, -3, -8, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/6*3\/(-1). Let o(u) = u**2 - 13*u + 3 + 5*u + 1 - 1. Let c be o(m). Solve -3*t = c*x - 3, -x = 2 + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (9 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 2\/13, -34, -0.1, 4\/3, 8\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/48 and 19\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 8.1\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 22\/31, -3, -7\/10, -295?\nAnswer: 22\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-126)\/(-2) + -3)\/(3\/2). Let d = 63 - s. Calculate the common denominator of d and -69\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffxffxfxf. Give prob of sequence xfxx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l - 2. Let p be y(-6). Let i be 4\/(p\/(-6)) + -2. Solve 5*j + 4*s = -1, 0 = 4*j + s - i + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.2, 0.1, 0.022, -0.6, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46955505965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 + 10 - (2 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:49 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*c - 2*c - 24, -5*r + 2*c = 24. Let s = 4 - r. What is the remainder when 39 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + r + 10, 4*r + 38 = u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6\/25, 4\/23 in descending order.\nAnswer: 4\/23, -6\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113542 + 5?\nAnswer: 113550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391529 is divided by 78304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 1430, 5120, 12510, 24884, 43526, 69720, 104750?\nAnswer: 149900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o*o*o\/(o\/(o*o*o**(1\/4))))\/(o\/o**(-1\/2))**25*((o\/(o**(-1)*o*o))\/o)**(4\/19)\/(o\/(o\/o**(-1\/3))*o*o**7) assuming o is positive.\nAnswer: o**(-8465\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*j = -2*y + 28, -4*y - j = -22. Let x be (4\/y)\/(26\/7527). Suppose -5*d + x - 8 = 0. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (-19)\/(114\/(-66)). Which is the third biggest value? (a) 48 (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k**5 + 81*k**4 + 435*k**3\/2 - 645*k**2\/2 + 90*k - 6 = 0. What is k?\nAnswer: -2, 1\/10, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 29.2. Let g = -24909.07 - -24904.8699946. Let n = v - g. Round n to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1245*a - 1. Let y(h) = -624*h. What is 2*x(q) + 5*y(q)?\nAnswer: -630*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46844 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.2 and -116.\nAnswer: 7099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21)*(-1)\/(-8). Suppose 0 = 3*a - 8*a. Is a > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**8\/20160 - y**7\/840 + y**6\/90 - y**5\/4 + 10*y**2. Let r(w) be the third derivative of k(w). Determine r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 80272?\nAnswer: -80271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72615058*r*x - 45327474*x wrt r?\nAnswer: -72615058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + -4 + -6) - 3 - -10 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -60*y + 64*y + 7, -y - k - 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 474*i**4*z + 269*i**2*w*z + 5*w*z - 105014*z with respect to i.\nAnswer: 1896*i**3*z + 538*i*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10259*p + 2201 wrt p?\nAnswer: -10259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2107752, 4215505, 6323258, 8431011?\n\"Answer: 2107753*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 15. Calculate i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414 + -377 - (-20 + 1 + 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 4*h - 6*h + 4*s, 161 = h + 3*s. What is the smallest common multiple of h and 3?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130705747.248 + -1.2.\nAnswer: 130705746.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 + k**5\/30 + 5*k**4\/24 + 4*k**2. What is o(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5242?\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - z**3 + 6*z**4 + 3 - 153*z + 152*z in the form t*z**4 + y + f*z + b*z**2 + r*z**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44533 = 23*l + 8*l - 406610. Does 231 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:17 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 17*j**4\/12 - 78*j**3 - j**2\/2 - j - 80. Find the second derivative of l(i) wrt i.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24566 + -4?\nAnswer: 24562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791848720?\nAnswer: 2, 5, 13, 761393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 118*l + 592. Let a be j(-5). Solve -5*z + a = -9*p + 10*p, -5*p - 2*z + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -1873, 1\/8, -3\/5, 33?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9111*8\/(-12)*(-6)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18827998 is divided by 1046?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 106 - 91 - 172\/12. What is the nearest to q in 0.3, -86, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 - 3*y - 2. What is the tens digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - t + 12 = 0. Let v(j) = j**2 - 12*j - 8. Let h be v(12). Let g be 4\/h*-4 - -2. Which is the second smallest value? (a) g (b) 0.6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-15)\/(9\/(-3))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240711 and 43878?\nAnswer: 34180962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 63. Suppose 2*v + 5*o = 6*o + 58, 0 = 5*o. What is the tens digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5644142 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495788 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7 and 64\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50581 - 50581 + 1051*c - 1051*c - 55*c**2.\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*t*y*z + 11*t*y + 296*t*z - 2*t + y*z + 2*y - 13361*z wrt t.\nAnswer: 32*y*z + 11*y + 296*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9\/4*u**2 + 9\/4*u + 3\/4 + 3\/4*u**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -71. Suppose -10*w = -k - 839. Let u = w - 77. What is the greatest common divisor of 98 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350933518 - -0.377.\nAnswer: 350933518.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3. Suppose 2*o + 3*o + 5*f = -45, 5*f = 2*o - 10. Suppose 3 + 42 = -15*q. Let v(h) = h**3 - h + 5. Give o*j(k) + q*v(k).\nAnswer: -3*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 7 - 14 - -35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at least as big as -1254\/623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 6, m: 2, s: 1, k: 7, n: 1}. Give prob of picking 1 m, 1 t, and 1 h.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(2\/12974 - 0\/(-26)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3130468 divided by -71147\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1788 by -4.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 14*m**2 + 27*m - 29. Determine k(6).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**0\/d)*d)**(-22\/3)*(((d**(-2\/27)*d)\/d)\/d)\/(d\/(d*d**(-1\/2)*d)) assuming d is positive.\nAnswer: d**(-1219\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/47 and -9\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:56 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 - 71*w**3 - 967*w**2 - 2389*w - 1494 = 0. What is w?\nAnswer: -9, -2, -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.678 - -1.918. What is the nearest to -1 in w, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332 and 15604.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 2*i - 4. Let p be h(-3). Let z(t) = 1 + 5*t + 1 - 1 - 5 + p*t**2. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 + -0.9. Let h = 1814.9 + -1815. Which is the nearest to h? (a) w (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(-33*k**2 - 30 + 54*k**2 - 25*k**2).\nAnswer: 16*k**2 + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 184388, 1\/2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, v: 2, x: 1}. Give prob of sequence nm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from tttkkty.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 13. Let a be z(12). Let n = a - 114\/5. Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 8989*q - 592733. Give y(-65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let r(z) = 27*z - 54. Determine 54*b(i) - r(i).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.6, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30617*j + 16614 wrt j.\nAnswer: 30617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107901*o - 107901*o + 671*o**4 + 0*o**4 + 0*o**4 + o**4 + (o**2 - 2*o**2 + 0*o**2)*(-5*o**2 + 3*o**2 + 4*o**2))*(3*o + 0 + 0).\nAnswer: 2010*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 3*p - 48, -3*p = 3. Let m(y) = -y**2 + 8*y + 51. Let u be m(12). Let a(v) = 0 + 8*v + v**u - 16*v + v**2 - 12 - 9*v**2 + v. Determine a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 75. Let l(i) = -i**3 + 2*i**2 - 2*i + 12. Does 7 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, e: 3}. What is prob of picking 1 e and 3 g?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106080?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 616 in descending order.\nAnswer: 616, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8606, 8603, 8590, 8561, 8510, 8431, 8318?\n\"Answer: -p**3 + p**2 + p + 8605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 5 + 3 + 3)*(4*z - 10*z - 4*z).\nAnswer: 40*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 12*u + 34. Let d be (4 + -3 - 4)*(-89)\/(-3). Let x = 81 + d. Let m be p(x). Solve 4*j + 19 = -3*b, -m*b = 3*j - 5*j - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150230 divided by -905\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from llxjjjjlqgjjgll?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/2*16*10\/480. Let s(g) be the second derivative of 0 + 0*g**3 + 1\/3*g**4 + 3*g - g**y. What is the first derivative of s(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/241, -18, -2, -174, -4 in increasing order.\nAnswer: -174, -18, -4, -2, 2\/241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2522*b*n + 766*n - 1 wrt b?\nAnswer: 2522*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1015 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:53 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(37\/3 + 6020\/3612)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677190\/5273 or -128?\nAnswer: -677190\/5273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 25709?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**2 + 205*b*w - 2*b - 22200*w wrt b.\nAnswer: 6*b + 205*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/55290 and 99\/11210?\nAnswer: 3262110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626714797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 172 - 151 = 0. Let z = -232 - -222. What is the nearest to z in -2, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 19 = 2*z + 3*z, 3*o + z = 37. Let d be (2\/4)\/((-1)\/o). Let y be ((-120)\/(-32))\/(d\/(-16)). Solve 10*r - 5*r = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, 0, -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let g(j) = 43*j**2. Determine g(o(i)).\nAnswer: 387*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -11234?\nAnswer: -11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23856.61 micrograms?\nAnswer: 23.85661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -127 and 25.6527535.\nAnswer: -101.3472465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -30, -5, 5, 42, 0 in descending order.\nAnswer: 42, 10, 5, 0, -1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 50 = 3*r, -3*r + 2*w - 56 = -0*r. Is 0 + 7569\/15 - 8\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002213582 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -915 divided by -8\nAnswer: 915\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -15. Let x(w) be the third derivative of 2*w**2 - 1\/12*w**4 - 1\/60*w**d + 0*w**3 + 0 + 0*w + 0*w**5. Find the second derivative of x(r) wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.504914l?\nAnswer: 504.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:24 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -40070000 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (5 - (-5 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*o - 16*o - 19*o)*(-2 + 2 - 3*o)*(4 - 15 - 3) to the form z*o + d + k*o**2 and give k.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 4. Suppose 0 = -4*s - 3*a - 14, 13*s + 2*a + 21 = 8*s. Let r(j) = 15*j + 9. Determine s*z(c) - 2*r(c).\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + 745)\/55 + (-101)\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124287.4 to the nearest one hundred.\nAnswer: 124300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-18)*(-5)\/30*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-1 - 4) + 9 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:17 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 79*t**2 - 40*t - 3171. Calculate q(-79).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 - 7*q + 25. Calculate w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -8*l + 80. Let g(q) = -q**2 + 14*q + 13. List the prime factors of g(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 469892934*j**3 - 1230*j - 11178.\nAnswer: 2819357604*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 1088 + 1354 + 3793.\nAnswer: -2*p**3 + 6235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 3518203.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -300, -134, 192, 732?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -77. Solve 0*s = d*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4091690?\nAnswer: 2, 5, 31, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let p(u) = 256*u**2 - 2*u - 2. Let m be p(t). Suppose -x - 7974 = m. What is x rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000090737 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 0 = -d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -831 - -967. What is the greatest common divisor of n and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(65) + -5*sqrt(65))*6)\/(-5*sqrt(30)\/sqrt(6)).\nAnswer: 48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38125 is divided by 19058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/8 - 19*k**2\/4 + 121*k\/8 - 41\/4 = 0. What is k?\nAnswer: -41, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -23*w**4\/24 + 9*w**3\/2 - 3353*w**2. Give q(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 - x - 4. Is u(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4242*q + 4240*q = -18, -10*z + 2*q + 38 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36))\/((-93)\/186)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 372 - 1096\/3. Factor m*y - 4\/3 - 25\/3*y**2.\nAnswer: -(5*y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2.9?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/29 and -3\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 40478 = w, -40514 = -2*x - 5*w. List the prime factors of x.\nAnswer: 2, 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let c(z) = -11*z**2 + 28 - 28. What is h(c(j))?\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 4*a**2 + 3*a**2 + (4*a + 0*a - 3*a)*(a - 2*a + 0*a) - 2*a**2 + 2*a**2 - 5*a**2 - a**2 - 461*a**2 - 72*a**2 + 46*a**2)*(2*a - 2*a**3 - 2*a).\nAnswer: 990*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88 + 64 - 70)*(-1 - 2 + 2)*(-75 + 75 - 44*m) to j + v*m and give v.\nAnswer: -4136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -17.6. Let u = t - -1.3. Are u and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 1. Let h = 107 - 88. Let u(f) = -2*f**2 + 36*f + 43. Let z be u(h). Solve 4*l + z - j = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15805 - -23745?\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*a - 8028, 0 = -0*a + a + 4. List the prime factors of i.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 60. Suppose -46 = -4*n - p. Solve -t + x = -2*x - n, -t = 2*x + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-460)\/30 - -15)\/((-1)\/12 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) - (sqrt(272) - (4*sqrt(272) + -3)))**2)*-6.\nAnswer: -600*sqrt(17) + 26166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 - 2829*v**3 + 2828*v**2 + 2829*v - 5657\/2 = 0. Calculate v.\nAnswer: -1, 1, 5657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/8 + 40\/(-32). Let r = -19 - -27. Suppose -4*g + r = -0. What is the closest to -0.1 in g, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*k - 8*k**5 - 7*k**4 - 711 + 711 + 5*k**5 wrt k.\nAnswer: -60*k**3 - 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 2*t. Suppose 15 = t*q - 6. Let x = -1219 + 1232. Calculate the remainder when x is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2. Let a be 22 + (-1 - 2) + 1. Suppose -b = 5*r - 179, -4*b - b + a = 0. Let x(n) = -35*n - n**2 + r*n. What is p(x(c))?\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.92 + 0.08. Let y = -10 + d. Which is the closest to 1\/3? (a) 2\/11 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 - 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {m: 7, a: 1, y: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w**2 - w. What is r(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172133510 divided by -3.\nAnswer: 172133510\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -267181*0.062\nAnswer: -16565.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 7}. Give prob of sequence ww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*m = -45, -3*v + 714*m = 716*m - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2\/7, 0.22, 4.\nAnswer: -4, 0, 0.22, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, 106049, 13, -5 in descending order.\nAnswer: 106049, 13, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60635073 and -0.05?\nAnswer: 3031753.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Let p(g) = 3*g**3 - 2*g**2 + g - c*g**3 - 5*g**2 + 4*g**2. Suppose -3*n = 2*k + 7 + 10, 3*k + 21 = -3*n. Give p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 467\/8? (a) 3\/5 (b) 4 (c) -2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 8*k = -6 - 514 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**2 - v - 1. Give c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/21 - z**6\/15 - 9*z**5\/5 - 7*z**4\/3 + 17*z**3\/3 + 15*z**2 + 8*z - 2. Determine j, given that g(j) = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s + 580. Let t be x(55). Which is greater: 912 or t?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 24. Solve 13 = 3*q + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -260, -730, -1436, -2384, -3580?\nAnswer: -5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.3 + 55. Let x = -3 + l. Let v = -1 + 1.1. Which is the closest to v? (a) x (b) 9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 5*x**3\/3 + 5*x**2\/2 + 2*x + 39. Let t(q) = 3*q + 2. Calculate 2*f(h) - 7*t(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 + 4121584.\nAnswer: 4121544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 18 = 3*k - 69, 0 = 3*b - k - 31. Solve -3*a - 2*a + 2*i = -14, -2*i = -4*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 581*z - 976. What is the tens digit of n(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/198698 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 10*n**2 + 30*n + 80. Is 4 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 3a1a0?\nAnswer: 3a182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8. Sort k, 3, 5 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 8 + 47*g**2 - 242*g**2 + 7273*g - 7271*g.\nAnswer: -195*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 536630 and 429304.\nAnswer: 2146520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 642, 424, 60, -450, -1106?\n\"Answer: -73*z**2 + z + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-206874)\/36*(-8)\/6. Is t + (1 - -1)*(-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 162?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q - 58. Let j be b(4). Is (-6513)\/j*((-250)\/(-15))\/25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 7) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - sqrt(10)\/(sqrt(10)\/sqrt(2)) - (1 + sqrt(2) + -3)*4.\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*d - 31*d - 556. Is (-136)\/(-12)*(d\/8 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -3, 3, 5242, 2, 4 in descending order.\nAnswer: 5242, 4, 3, 2, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3079?\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1372161 (base 10) to base 6.\nAnswer: -45224333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3. Let p be v(1). Let z = p + 3. Let i(f) = -f + 6. What is the units digit of i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30030 (base 4) in base 5?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25765*m**2 - 130038302 + 130038302 to the form v + f*m**2 + h*m and give f.\nAnswer: -25765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*24\/(-12) - -4. Suppose 2\/17*a**t + 2\/17*a + 0 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28287 is divided by 1570?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b**3 - 61*b**2 - 4*b + 2. Determine f(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose 2 = -y*m + 10, 2*m = -5*h + 69. Let d = -8 + h. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -128. Suppose 46 = -m*g + 55. Solve 23 = 5*j + p, -3*j = -j - g*p - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + 0)*-7. Let n be 2\/(-1 + -1 - -1). Calculate the smallest common multiple of 6 and 32\/(-12)*v\/n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 206587, 413176, 619765?\n\"Answer: 206589*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/5347 - -251619\/331514. Calculate the common denominator of l and 143\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 2 - 2 + 2 - 2 - 2*h**3 + (2*h + 4 - 4)*(h**2 + 2*h**2 - 4*h**2) + 0 + 0 + h**3)*(-h**2 + h**2 - h**2).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((-58)\/(-145))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 times 0.03\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6\/4 - (-48)\/80.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -12. Let d(w) = -w**2 + 6*w + 4. Let v be d(5). Let k = a + v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17610752500 to the nearest one million.\nAnswer: 17611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -42. Let m be 306\/(-8)*(-2 + -2). Let h = 0 + m. What is the highest common factor of q and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -4*m**3\/15 + 66*m**2 - 656*m\/5 - 126. Let h(g) = 0. Calculate g.\nAnswer: 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 7*n**2\/2 + n - 10. Let k(p) = -p + 6. Let g be k(5). Calculate j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15*y**2 + 18*y + 23. Let t(q) = 10*q**2 + 12*q + 15. Let j be (-48)\/9*18\/(-12). Let d(r) = j*t(r) - 5*m(r). Is d(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veevviejvzev. Give prob of picking 1 e, 1 j, and 1 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 116*k + 595. Let a be p(-5). Solve 0 = 4*n - a - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n**3 + 254*n**2 + 3035*n - 3767. Determine y(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muum when four letters picked without replacement from uumumuuu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 408*t**3 - 4148*t**2 + 13344*t - 13376.\nAnswer: (t - 4)**2*(t - 2)*(t + 418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001765 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 666.7185 millennia?\nAnswer: 666718.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8194\/713 - 248\/23. Let f = b + -74\/279. What is the closest to 3 in f, -3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1512706 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 722.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 + 10*l - 1. Let f be z(8). Let r be (-2*1)\/(7\/f). What is the greatest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 0 + 4 + ((sqrt(147) + 3)*3)**2 + -2.\nAnswer: 385*sqrt(3) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 359, 329, 287, 233?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/18)\/((-99)\/11286). Solve 4*y = -2*m - 12, q*y + 2*m + 4 = 17*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:41 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -42\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83.84 + -0.16. Let s = -88 - t. What is the closest to -0.1 in -1\/6, 0.4, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -18*v**2 - 1. Let w(k) = -17*k**2 + 5*k + 25. Let q(b) = -h(b) + w(b). Calculate q(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3, -5*o + 3 = -3*k - 10*o. Suppose -191 = -5*d - 4*q, q + 41 = -k*d + 185. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -192\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93139.\nAnswer: 93139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -60\/13, 0.4, 1\/3, -1\/32?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 6\/(-2) - 10. Let t(j) = j**3 + 8*j**2 + 4*j - 14. What are the prime factors of t(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 80*r + 44. Let q be f(-36). Suppose -g = 2*x - 595, 5*g - q = -x - 30. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 9. Suppose 0 = -z*j + 4*j + 242. Let r = j - 127. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 2*d**3\/3 - 59. Let l(w) = 3*w - 1. Calculate l(f(z)).\nAnswer: 6*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 - (0 + (-1359)\/(-171)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, z: 4}. What is prob of picking 4 o?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from {k: 2, u: 2, x: 3, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3030845076 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1\/47*-1). Suppose 0 = -5*u + 4*s + 1521 + 359, 5*s = 3*s. What is the greatest common divisor of u and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a century?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f - 3. Let w be s(3). Let n = w - -88\/3. Suppose 2*a - 27 = 5*i, -3*a - 4*i = -a + 18. What is the third biggest value in n, a, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 14*g + 1. Let s be a(-14). Let o be (4\/12)\/(s\/9). Solve -2*i = 13 - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61a4a5 + -17?\nAnswer: 61a48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:17 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2780486 and 901?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and -7\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-2*2 + (sqrt(45) - -1*sqrt(180)))\/((-6*sqrt(108)\/sqrt(3) - sqrt(36) - sqrt(36))\/sqrt(4)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5383 != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -28*h - 92. Is g(-13) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 - -189.2. Let c = j + 16.8. What is the nearest to c in 2\/9, -5, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569825403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.78368254 to two decimal places.\nAnswer: 27.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3325, -8397, -15175, -23653, -33825, -45685, -59227, -74445?\n\"Answer: h**3 - 859*h**2 - 2502*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32566800.6 - 11\nAnswer: -32566811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124299646 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 76 = -k. Let i be 2 - 0 - -9*8. Let s = i + -37. Calculate the remainder when s is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975, -2934, -7077, -14496, -26283, -43530, -67329, -98772?\nAnswer: -138951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 18. Let t(y) = 4*y + 1235 - 1235. Calculate t(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(4\/40). Suppose 0 = 19*j - 350 - 372. Suppose j + 2 = v*w. Solve w + 12 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/346940 and 139\/867350.\nAnswer: 1734700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, w: 3, s: 4, e: 7}. What is prob of sequence wj?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 170 - 50. Calculate the smallest common multiple of s and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -367*g*m**2 + 4*g*m + 13*g - 73746*m**2 + m wrt g?\nAnswer: -367*m**2 + 4*m + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:22 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.126.\nAnswer: 1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/155 + 8\/31. Let v = -3.22 + -0.08. Let k = -3 - v. Sort 2\/3, k, z in increasing order.\nAnswer: k, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 157*w**2 - 3*w + 3. Let j be 2*(-3 + 14\/4). What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -5879264?\nAnswer: 5879268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = h, v = 29*h - 24*h + 9. Let c(m) = -m**3 + m - 1. Let f(l) = -7*l**3 - 3*l**2 + 5*l - 5. Let w(i) = 5*c(i) - f(i). What is w(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433*b**3*o + 6*b**2*o**3 + 14*o**3 - 42*o wrt b?\nAnswer: -1299*b**2*o + 12*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/4*156\/9. Let o be i\/(-10) - 0\/1. Let f = o - -24. Calculate the common denominator of f and -1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - 22. Let s = i - 5. Let n = 82 + s. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114 - -170697?\nAnswer: 170583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02606 and -11169107.4.\nAnswer: -11169107.37394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189474 + 523380 = -16578*t for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 0, -4*v + s + 2*s + 149 = 0. Let y = -39 + v. Is y equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-26)\/22 + 10912635\/(-77275) - 588\/(-420).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100010000001 - 100?\nAnswer: 1101100001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 - 2*j - 11. Let u be g(-4). What is the closest to 0.1 in 0, -146, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220 - -219.5. Which is the smallest value? (a) -6\/11 (b) 2 (c) k (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 5*n - 4. Suppose 5*b - 28 = -3. Let f be k(b). What is the greatest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2595878060 from -0.1.\nAnswer: -2595878060.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -23102204344?\nAnswer: -23102204404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 1287 - 95. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -12783724?\nAnswer: 2556744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/16)\/(-9))\/((-12)\/80)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20\/33*(-153711)\/68316\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 4*o = 300. Let z = o - 48. Calculate the lowest common multiple of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j - 2*o, 5*j - 4*o - 26 = 21. Let n be (20\/j + -2)*14. Let w be (5\/(-10))\/(10\/n). What is the closest to 1 in w, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from sdddqqdddds.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652*y**3 + 2786*y**3 + 2931*y**3 - 8710*y**3.\nAnswer: -341*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 0, 4*m - 4*k + 16 = -12. Let a be 3\/9 + -1*(-4)\/m. Suppose 3*n - 280 - 50 = a. What is the highest common factor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z**2 + 3*z + 2*z**3)*(2 + 0 + 0)*(-1 + 2 + 1).\nAnswer: 8*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1032238.1.\nAnswer: -206447.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q = -64*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 21186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - -81. Suppose 106 = 6*r - 4*r. Let i = c - r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q + 3. Let g be 3*(-3)\/3 + 4. Let n be (-4)\/(-10) - (-5 - (-832)\/80). Let m(d) = 1. Give g*w(u) + n*m(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.181 and 0.4.\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579 a factor of 480903072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 232 = 23*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41077 is divided by 41044?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-3 - (2 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1168.\nAnswer: 5\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1543 - -1547. Let i = -2 - -5. Suppose -4*s - 1 = s + o*p, i*s - 3*p = -6. Sort -2, -50, s.\nAnswer: -50, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*r**4*y + 3*r**2*y - r + 16*y + 2 wrt r.\nAnswer: 228*r**2*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1000?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4663257 is divided by 5025.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h + 1. Let b(v) = -64*v**3 - 160*v - 160. Calculate -2*b(z) - 320*r(z).\nAnswer: 448*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009831068 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 30 + 150. What is the greatest common divisor of t and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7594921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3221724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 1. Let f = q + 42. Let t be 36\/(-15) - (-12)\/f. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116384, -116377, -116366, -116351, -116332?\n\"Answer: 2*n**2 + n - 116387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -49.15. Let z = 115.332 - 113.3. Let u = r - z. Round u to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*(-672)\/(-64) + -5. Solve -5 = b*i - f, 5*f + 9 = -5*i + 4*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 23*m**2 - 6*m + 8. Let n(d) = 4*d**3 - 45*d**2 - 13*d + 17. Give 13*f(c) - 6*n(c).\nAnswer: 2*c**3 - 29*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/13))**11*a**6\/(a\/(a**(-3\/5)\/a*a)*a*a))**36 assuming a is positive.\nAnswer: a**(1656\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 380 = -2*m + 416, 5*u + 2*m = 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 45*z**2 + 31*z - 446. Give m(-44).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*u + 245*u - 738*u + 243*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36645 + -25934. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130000 + 0?\nAnswer: -2130000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 26324313*o\/2 - 6581079 = 0. What is o?\nAnswer: -1\/2, 4387386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12ca6 (base 16) to base 12\nAnswer: 3865a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 28, 31, 34, 37, 40?\n\"Answer: 3*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 27. Suppose -v = 4*r - 7*r, -3*v - 5*r + c = 0. Suppose -v*y = -4*f - 245, -292 = -5*y - 5*f + 58. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005838163466 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b - 4*v + 406, 4*v - 1033 = -5*b. Suppose 54*d - 528 = 1956. What is the remainder when b is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -192261.7482 and -3.002.\nAnswer: -192264.7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -144753*n. Let w(x) = -10*x. Calculate p(w(o)).\nAnswer: 1447530*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*x + 54*x + 2244 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2*o**3 + 0*o**3)*(-3*o + 2*o**2 + 3*o) + 0*o**5 + o**5 - 2*o**5 - 6*o**5 + o**5 + o**5.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**5 + 6*m**4 - 20*m**3 + 7*m**2 - 3*m + 6. Let y(f) = f**4 - f + 1. Let k(l) = -n(l) + 6*y(l). Find the third derivative of k(z) wrt z.\nAnswer: -180*z**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 847 or 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 3*l**5\/20 - 5*l**4\/12 + l. What is the third derivative of j(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2210?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 4, c: 1, s: 2, v: 1}. Give prob of sequence mc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v + 3*v + 0*v**2 + 7 - 4*v. Let a be o(5). Factor 0*c - c**2 + 4*c + 3 + a*c**2 + 0*c.\nAnswer: (c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (3 + -10) - ((-30 - -9) + 12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*l + 98, 0*l = -4*w - 2*l + 236. Suppose -8*t + 11*t + 72 = 0. Let r = w + t. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -1)\/(-8) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)\/(3\/((-810)\/15)). What is the common denominator of (-15)\/(-3) + (-267)\/r and -38\/117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -670?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 2*i - 6*i + (i + 5*i - 4*i)*(0 - 2 + 3) + 3*i - 887 + 3*i + 882.\nAnswer: 4*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 1008*p - 165*p + 2534 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(3)*3 + (sqrt(3) + sqrt(21)\/sqrt(7) + sqrt(3))*-5 - ((2*sqrt(24))\/(6*sqrt(8)))**2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 + -334. Let f(b) = 6*b + 2. Let z be f(2). What is the highest common factor of z and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3825 + -7699\/2. What is the common denominator of 9\/38 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107332 (base 8) in base 2?\nAnswer: 1000111011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out 608.401 * -37.4.\nAnswer: -22754.1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.4 and 53802.\nAnswer: 53794.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:32 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -10, -55, -130, -241, -394, -595?\n\"Answer: -u**3 - 6*u**2 + 4*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148145051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1892, -131, -2154, -4177, -6200, -8223?\n\"Answer: -2023*u + 3915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d**2 + d**3 + 0*d**2 + 6*d + 4 - 8*d**2 + d. Let z be l(7). Suppose 2*o + 0*h + 3*h - 7988 = 0, h = -z. What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8280 and 12834.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -8 (c) -4 (d) -5 (e) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6 (b) 39 (c) -3 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3020 = 270*t + 5080 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10297 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 351830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 - 3*l**2)*(-2414*l - 2412*l + 4600*l + 4).\nAnswer: -452*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 5*s + 30, -3*u - s - 13 = 0. What is u rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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 -b - 20 = -3*p - 3, -10 = -p - 4*b. Let q(h) = -h - 6. Suppose w - a + 6 = 3, -5*w + a = 27. Let k be q(w). Solve -2*c = -k*c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -8 (b) -4\/3 (c) -0.5 (d) -15 (e) 203 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3 - 133. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122*-0.13.\nAnswer: 15.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let n be w(4). Solve 0 = 2*q + 3 + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116 - 13) + -288 + 356.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -51.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v + 88*v - 26*v - 4*v**3 - 29*v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + 3.1. Let m = -1.2 + 1.13. Let o = 0.13 - m. Which is the closest to o? (a) l (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -337bc0?\nAnswer: 337bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12365327, 49461342, 111288035, 197845406?\n\"Answer: 12365339*j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5923319.\nAnswer: 5923319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-27))\/(132*(-56)\/(-166320))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-15 - -8) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0 = s + 4, 5*m - 4 = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(396) + 0 + (sqrt(110)\/(sqrt(10)*-2) - ((sqrt(55)\/sqrt(5) + 0)**2 + sqrt(11)))).\nAnswer: 22 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-63)*(135\/54 + (-27)\/15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g, -3*v - 466 = -g - 4026. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/44*(-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, a: 3}. What is prob of picking 1 j and 3 a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/40 - 607*q**4\/8 - 368449*q**3\/4 - q**2 - 336. Let i(f) = 0. What is f?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*i**3*u**2 - 11*i**3*u + 15632*i**3 - 23*u**2 wrt u.\nAnswer: -58*i**3*u - 11*i**3 - 46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-7\/9)*m)*m**(2\/11)*m*m*m**12*m*m*m\/((m\/m**(1\/37))\/m) assuming m is positive.\nAnswer: m**(65885\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*9)\/3 - -23. Let a be ((-6)\/15)\/((-4)\/g). Calculate the common denominator of (7 + -9)*(-17)\/a and 51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 + 43*n**3 + 90 + (1 + 2 + 0)*(n + 2*n**3 - n) + 2*n**3 - 3*n**3 + 3*n**3 + 0*n**3 - n**3 + 2*n**3 + (0*n - 2*n + n)*(-1 + 2*n**2 + 1).\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -425, -845, -1265, -1685?\n\"Answer: -420*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4896))\/sqrt(2)*-2)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280947161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.254 - -0.054. Let g = i - -6.53. Let h = 0.03 - g. Put -3, h, 5 in decreasing order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808594?\nAnswer: 2, 461, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(9*u + 0*u - 2*u)*(3 - 3 - u) in the form c*u + o + l*u**2 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1935 - 587. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-21 - 0)) + -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, o: 7}. Give prob of picking 2 o and 1 i.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 124\nAnswer: -43\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, -2, 925 in ascending order.\nAnswer: -2, 525, 925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:28 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7*t + 7. What is p(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289404 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 2. Suppose 17 + 10 = 9*h. Determine r(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(125)*-2 - sqrt(125) - -6*(sqrt(125) + 1)))**2 + 1.\nAnswer: 8640*sqrt(5) + 42805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 17 = -3*d + 4*d, 2*t + 4*d - 32 = 0. Suppose -5*p = -2*x - 22, 3*x + 12 = 28*p - 31*p. Solve 4*j - p = t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 2, m: 1, t: 1, o: 2}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*c*d**2*i + 15*c*d**2 + 10739*c*i - 24*d**2 + 1320*d wrt i?\nAnswer: -44*c*d**2 + 10739*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(129\/(-65) + 2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 7*o**2 + 2*o - 2. Let r be g(6). Let p = -384 + r. Suppose -2*b - b - 2*w - p = 0, -w + 495 = -5*b. What is b rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:20 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) 1 (b) 3 (c) -0.1 (d) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 7 (c) -44 (d) -2\/7 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {e: 3, h: 1, q: 1, a: 2, n: 2, f: 8}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(10*8\/20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72473 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 + 5*p + 5. Let u be w(5). Suppose -310 = -u*s - 125. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16740313\/604 - 2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t + 43 + 10*t - 43. Let a(x) = -3*x + 29. Give o(a(b)).\nAnswer: 15*b - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673332?\nAnswer: 2, 3, 11, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 22.9963. Round j to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-104)\/30)\/(((-1)\/(-2))\/((-30)\/12))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171))**2 + -3 - (((sqrt(19) - (sqrt(19) + 0)) + -5)**2 + sqrt(19)).\nAnswer: -sqrt(19) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(35\/((-40)\/8))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-6 + 3 + 0) - 0 - (-11 + 10)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1. Suppose 6 = 4*v - 6, 12 = 4*g + 4*v. Suppose 5*h - 3*c - 24 = 0, -5*c = -5*h - g*c + 30. Solve -15 = h*o - p*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -170? (a) -1\/5 (b) 0 (c) -3260 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 153854*r**2 - 4*r**3 + 153850*r**2 - 461591*r**2 + 153887*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348288853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 - (-2 + -1)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785009619 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148830 divided by 4961.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/9)*x**(-4\/9)*(x**(-4\/11)\/x)**(1\/7) assuming x is positive.\nAnswer: x**(109\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13783634*l**2 + 1694*l - 131.\nAnswer: 27567268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.897704 to one dp.\nAnswer: 107.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14*a + 639 = 0. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o**2 + 227*o - 75. Give r(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1459184, -2918368, -4377552?\n\"Answer: -1459184*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 459 + -449. Let x = -6 - -8. Let k be (1 - 2\/x)\/(-1). Solve k = -2*r - 2, o = -4*g - 2*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/30192 and -155\/22644.\nAnswer: 90576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32 + 33)\/((-2 - 1)\/(-1698)). Solve 27 = -575*o + m*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 - n**3 + 66*n + 3*n**3 - 66*n as x*n**2 + f + w*n + z*n**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let w be y(3). Let l be (w + -3)*(0 + -18). Suppose 0*h - 2*h = -l. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 2*z**3)*((5 - 2 - 2)*(5*z - 4*z + 0*z) - z + 0*z + 4*z)*(4 - 6 + 4).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-37)\/(-1147))\/((-6)\/6))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*c - 8114088, 2*c = 3*f + 7*c - 8114096. Suppose 999160 + f = 3*l. Let p = l - 704619. Round p to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 5. Which is greater: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2520)\/12)\/(-7))\/(-14) + 90\/(-105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**2. Let z(i) = -238*i. Give z(j(v)).\nAnswer: -3094*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 155*j**2 - 8 + 8 + 8*j**3.\nAnswer: 8*j**3 - 155*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g**2. Let d be 0*(28\/(-12) - -2) - 9. Let m(i) = -6*i**2 + 6. Let k(c) = -2. Let q(z) = 3*k(z) + m(z). Calculate d*q(p) - 4*r(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 252 = -3*i. Calculate the highest common divisor of 288 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 6*m**3 + 4*m**4 - 6 + 0*m**4 + 11 - 6*m**4 + m + m**3 to the form l*m**4 + w*m + u + k*m**2 + n*m**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2 - t - 6*t)*(6*t + 10*t**2 - 6*t).\nAnswer: -100*t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3965*t + 194316. Give w(49).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -24*s**3 + 4034*s**2 - 334*s - 567. What is a(168)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 129.4544916 milliseconds?\nAnswer: 0.000000214045125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2484, 2487, 2492, 2499, 2508, 2519?\nAnswer: 2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229930358 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 5, c: 1, s: 2}. What is prob of sequence sx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l**3\/6 - 6*l**2 + 25*l. Let u be f(-4). Solve -u = -3*p - 4*h, 4*h = 10 - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 166 - 12*z**2)*(2*z**3 + 0*z**3 - 4*z**3 + (-3*z - z**2 + 3*z)*(-2*z + 5*z - z) - 1 - 2*z**3 + 1).\nAnswer: 72*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24370547 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -2*x + 5*f, 2*x - 28 = -5*f + 312. Suppose 10*v - 90 = 7*v. Let u = 65 - v. Calculate the greatest common divisor of x and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -m + 2*m - 4*w, w = -4*m + 215. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o + 91. Calculate n(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 1\/6, -26, 0.4, -0.1 in decreasing order.\nAnswer: 0.4, 1\/6, -0.1, -3\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 332 = 1. Calculate the remainder when p is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-345)\/4692*17).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 6*u + 10. Let t be v(-4). Solve -2 = -2*y - 4*s, t*y - 3*s - 25 = -9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 31.24605?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22470 + 24511. What is the lowest common multiple of 157 and n?\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*o - 62, 0*o + 4*x - 88 = -4*o. What is the second derivative of 18*a + 62*a - o*a + 141*a**5 - 13*a**5 + 27*a wrt a?\nAnswer: 2560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 66585?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 35*h**2 - 1. Let y(m) = -m**3 + 5*m**2 - 1. Let o be 1*20\/(4 - 0). Let c be y(o). Let s be q(c). What is the greatest common factor of 85 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -94. Let f be -17 + 64 - 2\/(2\/b). What is the greatest common factor of 115 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.428907 times 0.37?\nAnswer: -0.15869559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235 - 233. Solve z*r = -c + 9, r + c - 9 = -4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-10)\/(-15) - 8\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388975.\nAnswer: 5, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.4 (b) 1\/8 (c) -2\/121 (d) -0.1084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 12, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r\/((r*(r**(3\/2)*r)\/r)\/r)))\/r))\/r**(-10))\/(r*(r\/((r**(5\/2)*r)\/r))\/r*r\/(r\/r**(-6\/11))) assuming r is positive.\nAnswer: r**(138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -51557344070.81 - -0.1\nAnswer: -51557344070.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - d + 55 + 56 - 163.\nAnswer: -d + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-364)\/(-21))\/(2\/(-6)). Let q(u) = -u**3 - 7*u**2 - 13*u + 11. Let l be q(-5). Is ((-56658)\/l + (-8)\/y)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -891.\nAnswer: -891.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 6. Let k(z) = -6*z - 130. What is the smallest common multiple of k(-22) and t(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63606*v**6 + 602*v**2 - 9*v + 2?\nAnswer: -7632720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-9)\/720). Suppose -3*o + 4 = -o. What is the units digit of o\/5 + 24\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 7*h - 3*h - 2706, 3*h = 4*j + 2036. Suppose p = -4*u + 544, -h = -5*p + 4*u + 2068. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*q - 2*q + 15 = 0, 0 = -4*c - q + 20. Let i(z) = 3*z**2. Let r(h) = -7*h**2 + 1. What is c*i(t) + 2*r(t)?\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315662169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545855?\nAnswer: 5, 109171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20797 - -82685\/4. Let v = 127 + d. What is the smallest value in 0.5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320601, 320602, 320603, 320604, 320605?\nAnswer: 320606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xts when three letters picked without replacement from eesseesxeuttete.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 2*a. Let f = -2573 - -2570. Let t(u) = 4*u**2 - 2*u**2 - 3*u**2. What is f*t(z) + m(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6492, 2, 1, -1 in increasing order.\nAnswer: -1, 0, 1, 2, 6492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 11. Let b(u) = u**3 - u**2 - u + 1. Let l(j) = -3*j**2 - 7*j**3 + 4*j**2 - 8 + 6*j + 5*j**2. Calculate g*b(y) - l(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r**2 + 4*r - 18. Let c(f) = -1. Let w(i) = 36*c(i) - 2*t(i). Factor w(m).\nAnswer: -4*m*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, 0.07, 11730\/11, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, l: 4, t: 2, s: 1}. What is prob of sequence tspl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 + 375*u**2 - 354*u - 2232 = 0?\nAnswer: -2, 3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, a: 9}. What is prob of sequence yaya?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412229 is divided by 353056.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 26*u**2 - 57*u + 9. What is the remainder when 416 is divided by d(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264072862*g**3 + 2*g - 132614460 wrt g?\nAnswer: -1584437172*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5\/4 + q**4 + 637*q**3\/4 - 737*q**2\/2 - q + 210 = 0.\nAnswer: -15, -2\/3, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 190. Let a = u + -94. Let j be (6\/(-4))\/(3\/a). Calculate the highest common divisor of j and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 15300706?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 73 - -20 - (-1 - 47).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37112.\nAnswer: 2, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:32 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3612, -7178, -10744, -14310?\nAnswer: -17876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 308. Solve -4*i + o = -2*p - 0*p, p - 5 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 13*c**2 + 11*c + 2. Let q be h(-12). Suppose 5*b - q = s, -b + 5 = -s - 1. Solve -2*l = y + 2*y - 8, 0 = -4*y - b*l + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18*h**2 + h + 6. Let d(i) = i**3 + 4*i**2 + 2*i + 6. Let w be ((-8)\/(-6))\/(11\/(-33)). Let o be d(w). What is the tens digit of s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45496 - 10531 = 9*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*y - 3 = -14, 0 = -5*w - y - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17916332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 63\/12)*1424\/6.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q**2 + 322*q + 41. What is l(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481222*3.\nAnswer: 1443666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 11, f: 9}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*b - 5*c, -5*b + 0*c = -c - 15. Let y = -0.27 + -1.73. Let x = y + 1.9. Sort -0.06, b, x in ascending order.\nAnswer: x, -0.06, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o - 61. Let h = o + -21. What is the units digit of 4\/(-14) + (-58)\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1380*x**3 - 22762*x**2 + 11381*x**2 + 11380*x**2 - 2 in the form t*x + r*x**3 + l + f*x**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/126 and 3879\/(-4158) + -4 + -1 + 6.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1610)\/483*36\/10*(-6)\/(-9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:51 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28188 + 28191. What is the lowest common multiple of b and 500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -84. Find the second derivative of -134*a + 23*a - t*a**3 - 7*a**3 - 66*a wrt a.\nAnswer: -90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*o - 11288 = 618*o + 9582 + 4882 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 1, w: 7, d: 3, k: 1}. What is prob of picking 3 d?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43040 divided by 80?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 304 times -14\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 447 = 5*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*z + 9*z - 28*z.\nAnswer: 113*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.9505 milliseconds in microseconds?\nAnswer: 856950.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u - 5. Let l(o) = -6*o + 2. Let y(k) = -5*l(k) - 2*x(k). Let i(z) = -z + 2. Let n(m) = 5*m - 11. Let r(q) = -22*i(q) - 4*n(q). Give y(r(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/199 - -593\/398. Let x(n) = n + 8. Let r be x(-4). Let s be (r\/(-27))\/(4\/12). What is the third biggest value in l, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 + 16*n + 55. Calculate q(-4).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(((-66)\/(-4))\/(((-435)\/(-15))\/58)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:52 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.311 (b) 0.3 (c) 2224 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g + 1 = 0, -5*x + g = -21. Suppose x*r - 17 = -3*j - 1, r = 2*j - 7. Calculate the greatest common factor of 108 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(132\/(-18) + 6)\/((-252)\/(-11151))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/7936 - 23823\/39680. Which is the fourth smallest value? (a) -5 (b) -1 (c) 2\/9 (d) 1\/13 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 410\/(-145)*(-11513)\/397.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - 3 - -11 - (-352)\/19.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/87 - ((-8)\/32 + 19\/((-4408)\/10598)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136586327?\nAnswer: 136586327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:42 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:09 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -11\/2, 4, 1\/5, -0.9?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34011144 (base 5) in base 6?\nAnswer: 10214042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/5 + 12\/(-30). Let l(g) = -3 - g - 5*g + y. Let i(a) = -5*a. Let o(z) = z. Let h(v) = i(v) + 3*o(v). Give l(h(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 19*f**2 + 149*f + 20. What is c(-25)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31306 + 3365*k + 31301 - 62605 as c*k + g and give c.\nAnswer: 3365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/15 + 41*o**4\/8 + 1747*o**3\/6 + 1931*o**2. What is the first derivative of b(j) wrt j?\nAnswer: 8*j + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -8?\nAnswer: 103\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 360 = -0*h. Let z(u) = 10*u - 84. Let t be z(0). Let p = h + t. What is the smallest common multiple of p and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128244120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 78*u + 2926. Let g(y) = 9*y. What is g(w(h))?\nAnswer: 702*h + 26334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - 5*x**2 - x**3 - x**3 - x**3 + 0*x**3 + (1 - 1 - x**2)*(-3 + 3 + 2*x) + (x + 3*x + 8*x)*(-3*x**2 - 6*x**2 - 21*x**2).\nAnswer: -365*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - r + 0)*(4*r**2 - r**2 - 4*r**2) + 4*r - 4*r + 2*r**3 - r**3 + 2*r**3 - 2*r**3 + 3*r**2 to the form k + q*r**3 + f*r + j*r**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 + k**2 - 1. Let z be i(1). Let r be (-10 + z)*(-6)\/4. What is the second derivative of -8*b**3 + 11*b - 3*b - 20*b + 19*b**r wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-94\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, y: 1, w: 2}. Give prob of sequence wzg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*d - 382*d + 87*d + 25284 = 87*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 621, 1118, 1937, 3078, 4541, 6326, 8433?\n\"Answer: 161*x**2 + 14*x + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-78))\/((-25)\/(-650))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -59. Let b be ((-5)\/2 + -1)*f. Suppose 0 = 3*j - 0*j - b. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u - 15. Let x(j) = 39*j - 54. Let k(t) = 7*h(t) - 2*x(t). Calculate k(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - (-4)\/12. Let x = 1 + c. Let v be (x + -1 + 1)\/(-1). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168.7 - 170.7. What is the closest to -0.1 in -0.022, m, 0.3?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 791121288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -472, -6, -4, 4, -2 in descending order.\nAnswer: 4, -2, -4, -6, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2 + 1. Let l(c) be the third derivative of -c**4\/24 + c**3\/3 + 3*c**2. Let t be l(1). Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - ((-27)\/(-3))\/(-3))\/(-2). Suppose f - 44 - 49 = o. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -160302\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/13, 3, -0.1 in descending order.\nAnswer: 3, -0.1, -14\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131880190 is divided by 256.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 11. Let k be a(-6). Let s(p) = 5*p - k*p - p. Let x(g) = g. Give x(s(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209446945*i**3 - 389945*i + 21 wrt i.\nAnswer: -1256681670*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61053 or -60927?\nAnswer: -60927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17411?\nAnswer: 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 f when three letters picked without replacement from ggggggefgggs.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07978494 and -0.06.\nAnswer: -0.0047870964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*s - 4*s + 11 = 0, -4*p = -2*s - 18. Let b be p\/(1\/((-3)\/(-3))). Suppose a - b = 6. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -30224?\nAnswer: 30228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v - 7. Let w be o(5). Let h = w + -34. Suppose -2*z - 3*z - 4*q + h = 0, 3*z - 38 = 5*q. What is the lowest common multiple of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21078 by 5.\nAnswer: 21078\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 30. Let x(j) = -3*j**2 + 30. Let y(p) = 4*h(p) + 5*x(p). Is y(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 73, 149, 255, 391, 557, 753?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*w - 2*v, 4*w + 630*v + 64 = 1264*v - 622*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 4*l**2 + l - 4. Suppose -5*v + 2*w + 21 = 0, -v + 0*v + 18 = -5*w. Let i be x(v). Let f = 10 + i. What is the nearest to 0 in -2\/7, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/48)\/((-3)\/45). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -87. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n. Let s be y(-1). Let v be 2948\/(-18) - s - 0. Let f = v - -164. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.21 - -14. Let d = o + 1.91. Which is the nearest to -1? (a) 0 (b) 4\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -342317*a*o**3 + 4*o**3 + 216*o**2 - 13*o wrt a.\nAnswer: -342317*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.3395172718342+-0.1\nAnswer: 2.2395172718342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 27 = 3*h + h, 14*h - 67*j = -64*j + 29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11143344434 (base 5) in base 14?\nAnswer: -192c7b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {s: 6, a: 6, u: 7}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -252\/25 in -3, 0, -5, -0.1, 21.74?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 - 139624*x\/5 - 307076.\nAnswer: -4*(x + 11)*(x + 34895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-4)\/8)*(6 - 5). Let g(a) = 0 + a**2 - 225*a + 229*a - y. Give g(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 + -196. Let i(b) = b**3 - 4 - o*b**2 + 8*b + 5*b - 9*b. Calculate i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -19. Solve -n*o + 2*o - 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80676 is divided by 1283.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 878345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n*p**3*r + 1263*n*p**3 - 2*n*p**2*r - 35*n*r + 34*p**3*r + 217*p**2*r wrt p.\nAnswer: -30*n*r + 7578*n + 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = 5*w, -z - 12 = -3*z + w. Suppose u = -n + z, -n = -5*u + 25 + 11. Suppose 27 + u = 2*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*i = -6*i - 462 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4684, 4\/7, 2\/9, 0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s - 51*s = 91 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**6\/u)*u)**(-16\/3) assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n + 1. Let u(q) = -4*q**3 - 3*q**2 - 3*q - 1. Let c(m) = -2*k(m) - u(m). Let y = -92 + 90. Determine c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 + 1572*j + 8394. Give q(-191).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Is (-6)\/(-2)*(5 - v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 2*g + 0*g - 2*g + g + (-g + 2*g + g)*(0 + 4 - 3) + 1 - 1 - 2*g - g + 2 - 2)*(0 + 5 + 0)*(0*g - 5*g - 15*g).\nAnswer: 400*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -3. Solve 2*n - 3*f + 0 = -17, -4*n = -4*f + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (792\/(-8))\/11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 372, 338, 302?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 21. Determine c(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*o - k, -2*o - 2*k + 6 = -6*o. Suppose -39*l = -75 - 3. Let v be 9 - 1\/(1 + -2). Solve -v = -l*f - o*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008388 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let x(v) = -v**3 + 2*v**2 + 3*v - 1. Let d be x(f). Let i(j) = -j**2 + 8*j - 5. What is the smallest common multiple of 8 and i(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7472082 (base 9) to base 7\nAnswer: -46013501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147018 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1838, 1 in decreasing order.\nAnswer: 1838, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/13*1)\/(6\/(-2)). Let d = 328 - 323. Let y be (-2)\/5 - (-74)\/10. What is the third smallest value in d, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4952, -4589, -4226?\nAnswer: -3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 10*o**2 + 5*o + 6. Let b(t) = 4*t**3 - 11*t**2 + 6*t + 7. What is 6*b(s) - 7*z(s)?\nAnswer: -4*s**3 + 4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d**2 - 3*d. Determine a(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32235 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 5. Let b(u) = 535932*u + 6333*u + 112280*u - k. Let y be b(-11). What is y rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -41*r**5\/20 - r**4\/4 - r**3\/2 + 3*r**2\/2 + 1775*r. Let p(d) = 81*d**3 + 5*d**2 + 5*d - 5. Calculate -5*j(h) - 3*p(h).\nAnswer: -38*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 - -0.56.\nAnswer: -35.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002871239 rounded to five dps?\nAnswer: -0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9.8. Suppose 5*k + 2*h + 10 = 0, -6 = 3*k + h + 4*h. Let y be k\/(-9) - 55\/(-90). Which is the nearest to -1\/2? (a) y (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 1422446632*c**2 + 1422446632*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -324729922 divided by 6?\nAnswer: -162364961\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 5*r**4\/4 + 2*r**3\/3 - r - 1. Let h be p(1). Let y = -5 + h. Calculate the highest common factor of 9 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Suppose -b*z = z - 30. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/48143 and -32\/54355?\nAnswer: 1685005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-98)\/(16\/80 - 13\/15). What is the highest common divisor of 98 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 336334896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 2*i + 4*d, -5*i + 2040*d - 2036*d - 51 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8 + (-230635)\/127380.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, r: 3, d: 1, i: 1, b: 5}. Give prob of sequence drb.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.65052ml in litres?\nAnswer: 0.04265052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(((-330)\/(-77))\/(-15))*18\/21\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 11}. Give prob of sequence zr.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 329*j - 3109*j.\nAnswer: -3438*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83674 and 10737343.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -364\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = 8. Which is the nearest to u? (a) -1 (b) -3 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -840887, -840880, -840873?\n\"Answer: 7*n - 840894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**5 + n**4 + 13646791*n**3 + 900*n**2 - 60805*n.\nAnswer: -180*n**2 + 24*n + 81880746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*n = -4*n + 41, 4*w = -5*n + 97. Are 18 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 20\/(-4)) + 8955. Is n\/22 - 12\/66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/2*(34 - 36))\/(-1). Solve 4*j - w*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011014 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1562?\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 16. Calculate the smallest common multiple of v(7) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37935807 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3279 - -2670.4. Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4686, 9397, 14148, 18939, 23770, 28641?\nAnswer: 33552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14405244.1 less than 297941?\nAnswer: -14107303.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -832*z**2 - 480?\nAnswer: -1664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 4. Let d be x(-2). Let s(a) be the first derivative of -6 + 0*a + 0*a**3 + a**d + 7\/4*a**4. What is the second derivative of s(p) wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -1173709.86?\nAnswer: 1173709.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63873666 is divided by 72832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -30. Let y be (u + -1281)*-2*3\/12. Suppose -5*f + h = 2*h - 802, -4*f - h = -y. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - -4. Let i = -62.994 + n. Let s = i + 2.994. Put 2\/7, 0.4, s in descending order.\nAnswer: s, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - (sqrt(768) - sqrt(768)*5))*5 + sqrt(768))\/(-5*sqrt(4)*1 - sqrt(300)\/sqrt(3))*-3.\nAnswer: 312*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 285?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*z**5 - 6646044*z**4 + 1226946120963*z**3 - 1635918561456*z**2 + 408979086528*z = 0. What is z?\nAnswer: 0, 1\/3, 1, 369224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28365409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 11856880 to the nearest one hundred thousand.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 - 3 - (-3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t. Let f(g) = -g. Let s(j) = -j**2 - 3*j. Let x(b) = -3*f(b) + s(b). What is x(n(o))?\nAnswer: -121*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = h + 4*h, -5*u - 4*h + 40 = 0. Let l(m) = -m**3 + 9*m**2 - 9*m + 12. Let t be l(u). Is 2 a factor of -3*((-16)\/6)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 118. Let b(x) = x**3 + 22*x**2 + 2*x + 47. Let z be b(m). Solve 4*t + 3*k = -13, z*t + 4*k = -0*t - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.32, -4, 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122220212221 - -2?\nAnswer: -11122220212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*n - 0*n + 2, -3*h - 2*n = -5. Solve 13*q = 16*q - h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23156162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3208170360 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z + 6. Let v be o(-3). Suppose -4*n + v = 5*h, 0 = 3*h + 6*n - n - 31. Solve -2 = r + h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 0 in decreasing order.\nAnswer: 15, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**10\/453600 + z**9\/90720 + z**8\/60480 + 26*z**5\/15 - 14*z**2 - z. Let u(k) be the third derivative of p(k). Factor u(q).\nAnswer: q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 36*u**2 + u - 21. Let y be j(-18). Let z = y + 34. Let c be -4 - z*(0 + (-56)\/(-20)). Solve c*r = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 + 476*m + 1906. Calculate the remainder when c(-4) is divided by 81.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1\/30*d**5 + 26 + 0*d - 1\/24*d**4 + 0*d**3 + 0*d**2. Let s(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 4*a**3 + a**3 + 0*a**3 - a**3 + 3*a**3 + (4 - a - 4)*(3*a - 3*a - 2*a**2) + 4*a**3 + 10*a**3 - 11*a**3 + 0*a**3 - 4*a**3 + 5*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27745 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/40)\/((-24)\/360).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 3411107?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + -28 + -12 + 40 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71309344 + -71309358.69999624. Let p = u + 14.7. Round p to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 25*v**5\/8 + 125*v**4\/24 + 35*v**3\/12 + 3*v**2\/4 - 47*v + 2. Let t(r) = 0. Calculate r.\nAnswer: -3\/5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 63503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.411 - 0.051. Let q = j + -18.36. Let k = 18.7 + q. Round k to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 4*i**2 + 2*i**2 + (0*i + i - 2*i)*(4 - i - 4) + 1 + 2*i**2 - 1 + 10*i - 12*i**2 - 10*i - 6 - 2*i**2 + 2 + 3.\nAnswer: -12*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4697785421 to the nearest one million.\nAnswer: 4698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -494, -496, -498?\n\"Answer: -2*s - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.013206 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3918 - -74468\/19. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5138 + 5133. Which is the closest to 0.1? (a) y (b) -2 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -8*f**4 - f + 14. Let y be h(-2). Let a = -161 + y. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158, -316, -496, -710, -970, -1288, -1676, -2146?\n\"Answer: -2*w**3 + w**2 - 147*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17262452 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32793 + 32789. Put w, 0, -3, 4 in increasing order.\nAnswer: w, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 7*d)*(2*d - 1 + 1)*(-2*d - 4 + 4).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.018 - 289.018. Let d = 250.56 - -51.34. Let l = i + d. Round l to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*r + 1406*r - 133265 = 770*r - 554*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115255 is divided by 38412.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.63624 days in nanoseconds?\nAnswer: 6794171136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29337 + 3*f - 316*f**2 - 680*f**2 - 29334.\nAnswer: -996*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let v be 4 - 1*d\/(-2). Is 54 + (-3)\/(v - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 38, 40, 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1016, 2048, 3068, 4070, 5048?\nAnswer: 5996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 - 3.6. Let h = 11 + -11.4. Let x = 3 - 4. Which is the third biggest value? (a) h (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 621873908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633280185?\nAnswer: 3, 5, 14072893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 29 + 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 1, h: 3, j: 3, n: 2, g: 1}. What is prob of sequence nmhg?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6589 + -6566. Sort 1, -3, 5, v, -2 in descending order.\nAnswer: v, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 - -3.18. Round o to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**4 + v**3 - 8*v**2 - v**3 + 2*v**4 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445129*q**5 - 5*q**3 + 76291*q**2 + 179*q wrt q?\nAnswer: 26707740*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112635.507113 - -13.952887. Let k = -112646.1600052 + u. Let m = 3.3 - k. What is m rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 + 4 - 182)*(2 - 2 - 4*q**2) in the form x*q + c + s*q**2 and give s.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 - 38*n - 3. Let d be c(-5). Suppose -16*b + d = -52. What is the second biggest value in 1\/3, 20, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 69. Let q(v) = 25*v - 65. Let l(w) = -75*w + 196. Let k(c) = y*l(c) - 11*q(c). What is the first derivative of k(x) wrt x?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:22 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 23. Calculate the smallest common multiple of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/24*(-1)\/(12\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u + 62*u + 1105 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 41*n - 21. Let c(j) = -7*j + 9. Let z be c(1). Let t(b) = -17*b + 11. Let d(p) = z*i(p) + 5*t(p). Determine d(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and 7697303811.\nAnswer: 7697303811.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(26)\/sqrt(2) + sqrt(13)) - ((sqrt(65)\/(sqrt(20)\/sqrt(4)))**2 - sqrt(13)))*3*-1.\nAnswer: 9*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (11 + 4 + (-15 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 2\/35, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 35*t - 480. Suppose t*n - 2175 = 5445. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, i: 1, f: 3, y: 1}. Give prob of sequence yffn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500465 (base 9) in base 14?\nAnswer: -1775a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 + 25 - 52 + 27.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/(z\/(z\/(z*z**19\/z)))*(z*z**10)\/(z**(-3\/16)*z) assuming z is positive.\nAnswer: z**(-13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*g - 1 + (-20*g - 39*g + 22*g)*(4 + 1 - 6) + 0*g + g + g + (-4 + 3 + 0)*(-g + 0*g + 2*g) + g + 5*g - 3*g to r*g + s and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 19. Let d be o(-24). Let t = d - 40. Suppose 0 = 2*m + k - 4099, -t*m + 779 + 5342 = -4*k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {y: 8, h: 3, q: 2, s: 4}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6801119 and 8957.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-858)*77)\/(4\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 25600009. Let s(z) = -z + 6400002. Let j(r) = 2*h(r) + 9*s(r). Let v be j(0). What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -45. Calculate the greatest common factor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 23*n + 7. Let j(l) = -5*l**2 + 21*l - 6. Let a(x) = -7*j(x) - 6*v(x). Find the second derivative of a(b) wrt b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 17*g - 35. Find the common denominator of 35\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1355 and 271?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 - -315. Let c be (-12)\/18*h - 20\/(-15). Solve -c = 6*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2.9 (b) -3 (c) -0.2 (d) 0 (e) 1\/234\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((sqrt(3)*-2 - sqrt(3))*-3)*2*-2.\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4352 - -4352.1. Suppose -2*m - 8 = -3*o - o, -2*m - 5 = -3*o. Sort -23, m, d, -2 in decreasing order.\nAnswer: m, d, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 9) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*k**2 + 45*k**2 - 18*k**2 + 10*k**4 + 10*k**4 + 25*k**3 + 5*k**5.\nAnswer: 5*k**2*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/15 and 115\/222.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 9:55 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 82969*l - 37. Let h be b(-2). Is ((-12)\/(-15))\/((-3)\/(h\/10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a\/(a\/a**30*a))))**47*(a**7)**(-10))**(1\/2) assuming a is positive.\nAnswer: a**623","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + n - 1 + (40 - 20 + 44)*(-n + 5*n - 2*n) + 7*n - 3*n + n.\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-1)*(885\/45 + -20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1386 and -149\/378.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 7, l: 3, u: 6, q: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5964854 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41392 - -41545.308. Let l = -153 + w. What is l rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 17*y + 22. Let w be m(-14). Let g be -60*-2*(-76)\/w. Let l = -307 + g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - 2. Let m be -4 - -7 - (q + 0). What is the third derivative of -2*j**2 - 6 + j**m + 6 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757618.4nm to micrometers.\nAnswer: 757.6184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/32 - w**3\/4 + 7*w**2\/16 + 82. Solve f(y) = 0 for y.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -265536, -265532, -265528?\n\"Answer: 4*h - 265540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 15*g**2 + 24*g - 26. Let a be x(-13). Solve a = -h - 8 + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -18, -4, 8, -3 in decreasing order.\nAnswer: 8, 2, -3, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 + 873 - t**4 - 4*t**2 - 870 - 3*t**2 - 2*t**2 to z*t**3 + f + i*t**2 + j*t**4 + l*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-16 + -6 + 31)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h*(h\/((h*h*h**(2\/5)\/h)\/h))\/h*((h**(-1)*h)\/h)\/h**(-5)*((h\/(h*h**(1\/2)))\/h)**(-35)*(h\/(h\/(h\/(h\/h**(-1\/4)))))**(-3\/10) assuming h is positive.\nAnswer: h**(2487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 20*w + 60 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/364 and 27\/455.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12525 <= -438359\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-253*o - 116*o - 33*o - 1)*(0*o + 0*o - o)*(3*o + 2*o - 3*o).\nAnswer: 804*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1411, -4, -1.1, 573?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-95)\/10)*4\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79254 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, w: 1, s: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 19 = -4*x, 0 = -2*x + 4*b + 14. What is the second smallest value in 106, 2, 2\/11, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7288 + 17550. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24505 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a765 (base 14) to base 13.\nAnswer: -24843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15289 + 10889. Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1324151451 and 441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 18680?\nAnswer: -18679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 + 3*f**2)*(-1 - 1 + 1) + f**2 - 3*f + 3*f + (0*f + 3*f - 4*f)*(2*f + 3*f - 3*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*m + 55, -2080669 = 2*m + 3*c - 2080647 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(5) + 5 - sqrt(50)\/(sqrt(30)\/sqrt(3) + sqrt(10) + sqrt(10))))**2 + sqrt(240)\/(-3*-2*sqrt(12)).\nAnswer: 7*sqrt(5) + 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2 - 6*i - 5. What is d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 2*o + 785. What are the prime factors of s(0)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 286.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13551118*i**3*p - 3*i**2*p - 4923*i*p - i - 1914*p wrt i?\nAnswer: 81306708*i*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (29 + -21 + 9 + (6 - 0 - -4)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Let j = 5 - 1. Find the third derivative of -2*q**j - 4*q**2 + q**2 + 3*q**v wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.2 + 17.2. Let m = 216 + f. Let y = 138.9999903 - m. What is y rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {g: 3, p: 1, a: 6, o: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235274985.\nAnswer: 5, 7, 491, 71881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 - 60*a**2 + 334*a - 276 = 0.\nAnswer: 1, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. Sort n, 0.06, 4 in decreasing order.\nAnswer: 4, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664564 divided by 36.\nAnswer: 166141\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kookjkoajkjkajjkaaj. What is prob of picking 2 j?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 5503168.\nAnswer: 38522176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 37*y**2 + 54*y - 151. What is the remainder when l(-41) is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-75) - 2\/(-30))\/((-2)\/(5 - 47)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 542417152 to the nearest integer?\nAnswer: 23290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-20)\/16))\/(4\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(-14*23\/1610)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from omcccmccoo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 18*p - 182000. Suppose -3*k = 5*j - 0*k - p, 5*j = -4*k + 9095. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -4. Let m be (1\/3)\/(y\/18). Is 14 a factor of (m - (-2)\/2) + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0.4, 999, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2740 - -3937. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 549216991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68248491 divided by -1.\nAnswer: 68248491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -92. Let z = -19 - -39\/2. Which is the smallest value? (a) o (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5\/4, 30\/7, 19136?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -80 + 39 + 42. Let w(k) = 39*k**3 - 33*k + 3. Let n(u) = 3*r(u) - w(u). What is the second derivative of n(b) wrt b?\nAnswer: -234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13387.97 - -13387. Let b be (-2)\/8 + (-11)\/(-12). Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2 - 3*v + 47*v**4 - v - 60*v**4 - 9. Let f(l) = 27*l**4 + 7*l + 23. Let x(w) = 4*f(w) + 7*o(w). What is the derivative of x(z) wrt z?\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {f: 1, m: 1, d: 1, o: 9, c: 1, l: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12*a**2 + 23 - 12.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 0 (b) 5 (c) 4 (d) -15 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104426 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2714443*1.2\nAnswer: 3257331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45517 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 197831107.\nAnswer: 197831109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-19 - -17) + 18 + 6 + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 52. Suppose -54*y + 146 = -f*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 142 - 130 = 0. Solve 4*a + z*m = 16, -4*a + 16 = -0*a + 3*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -848*a + 878*a - 113 = -23. Let g(o) = 32*o - 98. Calculate g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 21*g + 40. Calculate c(-16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/48 and 61\/4512.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s**2 - 3*s - 13. Suppose -6*i = 59 - 437. What is the lowest common multiple of l(-5) and i?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8 - 5 - 2*l**3 - 10*l**2 as k*l + n*l**3 + y + h*l**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 2400.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - 6*g + 0 + 2)*(16 + 1 + 2)*(4 - 3 - 3).\nAnswer: -114*g - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2508381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/4 + 64*x**3\/3 + 185*x**2\/2 + 122*x - 1224. Solve d(t) = 0.\nAnswer: -61, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*x - 2*l, 10 = x + l - 10. Suppose -5*g = k + 3*k - 99, -120 = -5*k - 5*g. Suppose -x*i = -k*i - 26. Is -26 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6797271366905 and 13.\nAnswer: -6797271366892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f - 151. What is s(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 w when four letters picked without replacement from {d: 6, w: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 15 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 214002263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2407*m**2 - 2247989*m + 2247989*m)*(2 + 2 - 2)*(0*m - 3*m - 2*m).\nAnswer: 24070*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 6. Let y(n) = 5*n**2 + 21*n + 12. Let x be y(-4). Calculate m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-788956\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -97a6c?\nAnswer: -97a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43519 or -43778?\nAnswer: -43778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19230176 is divided by 2370?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 31 - 106. Suppose -d - 2*d = -v. What is the remainder when d is divided by (1 - 10)*(0 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2889560311.\nAnswer: 11, 23, 43, 151, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -7 (c) -27 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 696*m**2 + 94 - 31266*m + 158 + 177 + 31266*m with respect to m.\nAnswer: 1392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2 - 35*i + 1. Let m(a) = -24*a - 2. Determine m(v(c)).\nAnswer: -336*c**2 + 840*c - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5092.306 tonnes to kilograms.\nAnswer: 5092306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4583 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s + 14. Suppose 13 - 4 = s*x. Suppose -2*j + z = -7, 3*j + 3*z = 14 + x. Solve -j*n = -7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484625 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*m**3*o - 236*m**3 wrt o.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5091 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 10*p + 9968. What is the greatest common divisor of 267 and p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/7, 4, 8, 3686, 0.5 in decreasing order.\nAnswer: 3686, 8, 5, 4, 0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 161*i - 159*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 28. Let j be q(8). Let x(p) be the second derivative of -1\/6*p**3 - p + 1\/4*p**j + 0 + 0*p**2. What is w in x(w) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165137593351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:46 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -230075 greater than or equal to -230054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**5\/5 + 3*o**4\/2 - 2*o**3 + o**2 + 27. Solve w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7644514*z**2. Let j(o) = o**2. Calculate j(u(n)).\nAnswer: 58438594296196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 297\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17563 by 3035.\nAnswer: -17563\/3035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 2*f - 6*f**3 + 4 + f. Let j = 0 + 4. Let m(t) = 13*t**3 + 2*t - 9. Let n = -42 + 51. Determine j*m(y) + n*i(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -132469\/746 and -179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6552\/5 + 13119\/10. What is the closest to -1 in b, 4, 3.75?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 50 = -2*i. Calculate the remainder when i is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 70 = -6. What is the remainder when ((1 - 9\/4) + (-4)\/(-8))*-188 is divided by 0 + 2*(2 + z)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 2*z. Let v be o(2). Which is the nearest to v? (a) -2\/9 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 712.924632 milliseconds?\nAnswer: 0.0000011787775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + 3. Let r be s\/5 - 25123282\/(-5). Let b = 10424656 - r. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 3, 281, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 11 = -5*f, 3*f + d + 0*d - 10 = 0. Suppose 0 = -f*x - 2*x. Suppose 2*p - 6 - 152 = x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 78 + -7 - -100.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5505590.405 - 0\nAnswer: -5505590.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300880 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v - 123*v + 48*v)*(v**2 - v + 1 + v).\nAnswer: -134*v**3 - 134*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75844 or -75871?\nAnswer: -75871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/4 - 30)\/((-7)\/(-21)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) -4\/3 (c) 186 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 817, 2758, 6535, 12760, 22045?\nAnswer: 35002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:05 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29457, 44118, 58779, 73440, 88101, 102762?\n\"Answer: 14661*b + 14796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 208462 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: List the prime factors of 14668944.\nAnswer: 2, 3, 305603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:45 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 928555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**4 - 3*d**3 - d**2 + 5*d + 6. Let f(b) = b**4 - 5*b**3 - b**2 + 9*b + 12. Let a(y) = 3*f(y) - 5*u(y). Find the second derivative of a(r) wrt r.\nAnswer: -24*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Let n = -384 + 381. What is the second smallest value in n, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, d: 1, o: 1, c: 7, x: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 282605 in -0.06, -0.3, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51858 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -55.14453?\nAnswer: 47.14453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 387 = -2242. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436956 is divided by 72709.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9*f = -352. Let p be (f\/6)\/(16\/24). Let h = p - -25. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259849 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401446911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21248.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (-2*sqrt(96) + sqrt(96)))\/sqrt(4))\/(-4*sqrt(36)\/sqrt(3)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25072960691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 39554*w - 29. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.024 + 24. Let m = 0.476 - s. What is the fourth smallest value in -2, m, -1, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l - 2)*(-43 + 660 + 532 - 34).\nAnswer: -2230*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/5 - j**4\/24 + j**3\/3 - 34*j**2. Does 15 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -340.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -1, -5, -8 in decreasing order.\nAnswer: 8, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/19388 and 20\/4847.\nAnswer: 19388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -141, -129, -99, -45, 39, 159?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-112)*(32\/10)\/(202\/(-505)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w)\/(w**(1\/3)\/w))\/(w**1)**8 assuming w is positive.\nAnswer: w**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2087.44 - 0.56. Let i = -2087.76055 - d. Let p = i - 0.24. Round p to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4475 - 4483 - (0 - (-1 + -3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-805)\/120 + 2\/(-1) + 3 + 1 and -115\/196.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8985\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/3 + 61*w**2\/2 - 43. Find the second derivative of o(a) wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:45 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.48 + -0.08. Let y = u - 9. Let j = y - 0.400065. What is j rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 119992628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 7. Let p be l(8). Let o be 2\/(p - 9\/(-6)). Let s(x) = -6*x + 5*x - 4 + o. Let u(t) = 3*t**2. Calculate s(u(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -35729442?\nAnswer: -2\/17864721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 40*l**5 - 363*l + 235. What is the derivative of i(v) wrt v?\nAnswer: 800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -7877\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:40 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 8*v**2 + 2. Let i(f) = 10*f**3 + 40*f**2 + 11. Determine 2*i(o) - 11*q(o).\nAnswer: -2*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 21 - (7 + 0)) + 10 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064*62.\nAnswer: 3.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 3*t - 3*w, -4*t = -3*w - 21. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:32 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4\/579, -39055 in increasing order.\nAnswer: -39055, -4, 4\/579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 372 = -19*p. What is the least common multiple of p and 77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 - -0.027239.\nAnswer: 427.027239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Is z equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2929.9 - -2930. What is the closest to k in 12, -8, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(34)\/sqrt(2) + 4 + -4*(sqrt(68)\/sqrt(2))\/sqrt(2))**2 + 5.\nAnswer: -6*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 b when four letters picked without replacement from bbbbbvvbbbbbb?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2183*j - 15195071 + 15195071)*(0 + 1 + j + 2*j).\nAnswer: 6549*j**2 + 2183*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m - 99. Calculate t(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - 4) + (9 + -15 + 5 - -12).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098982496 to 5 dps.\nAnswer: -0.09898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 + 89*h**4 + 106*h**3 + 17*h**2 + 2*h - 826?\nAnswer: 120*h**2 + 2136*h + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -8743849*c**2\/3 - 283872*c - 6912 = 0?\nAnswer: -144\/2957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32571246 divided by -10857082\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*x + 3*x**2 + 2\/3*x**3.\nAnswer: x*(x + 4)*(2*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1319 + 1719. Which is the second smallest value? (a) 1 (b) -1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 10\/7 (c) -482 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let f(i) = -15*i**3 - 2*i**2. Calculate f(n) - 2*w(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) -14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1573*k + 64 = -1541*k. Solve 9*d + k*a = 7*d - 18, -25 = d + 5*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0278283 rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(-2*(sqrt(833) + 2)*6 + -2))**2.\nAnswer: 69888*sqrt(17) + 1930048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 12. Determine i(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816 + 277 + 9*v + 281 - 10*v + 36.\nAnswer: -v + 1410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -498 + 510. Let r(p) = 0 + 3 - 6 - p + 7. What is the least common multiple of n and r(-11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 46.1. What is the closest to -1 in -0.1, 0.2, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 75 = -11*x. Let h(m) = -m**2 - 26*m - 1. Let r be h(x). Suppose 10*j - 4*j = r. Solve 4 = v + 5*o - 16, 3*v - 3 = j*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*k + 4*q - 5, 2*k + 3*q - 13 = 0. Calculate the least common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 17 + 2 + -1. Suppose 6*i = 2*i + v. Calculate the remainder when 13 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 = 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 16*i**2 - 21*i + 47. Give v(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 4 = -30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t - 3*b = -242, 0 = 4*t + 5*b - 982. Suppose -t*k = -237*k - 7172. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -6 + 3 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21738 is divided by 494.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, -1.\nAnswer: -1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0 - l**2 + 2*l**2 + 0. Let v(w) be the second derivative of w**5\/30 + w**2\/2 - 2*w. Let i(b) be the first derivative of v(b). Give i(h(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6 - 4. Let y = -1580 + 1582. What is the third derivative of 24*t**5 - y*t**5 - o*t**5 + 20*t**2 wrt t?\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from souvssoossnonnssvuu. Give prob of picking 1 u and 2 s.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1596 + 1802.3. What is j rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96336188 by -48168094.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 + 12*h**4 + 11*h**2 - 19*h**2 wrt h.\nAnswer: 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-312))\/(3\/39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from raaaeaxaaaaaraea?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 1. Let s be 2\/8 + (-561)\/(-612). Let u(o) be the second derivative of -6*o + 2*o**2 + s*o**3 + 0. What is 5*i(a) - u(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3, 0.1, 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11780 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0608844 rounded to four decimal places?\nAnswer: -0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1635*(1 + 57\/(-63)). Let i = 156 - r. Let o = 705 - 3527\/5. Which is the closest to 2? (a) -5 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 5. Let z(i) = 0*i + i - 1 + 0*i. Suppose 5*o - 41 - 4 = 0. Suppose -o*a = -5*a + 16. Determine a*z(q) - b(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + 37. Is v a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/18, 0.1 in ascending order.\nAnswer: -1\/18, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15452)\/(-9030) - (-46)\/161 - 2. Is s at least as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9044317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*g + 17, -30 = -5*g - 0*o + 5*o. Suppose -g*h = -h - 24. Is 460\/h + 2\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 2*s - 105 + 916)*(3 - 2 + 1)*(139*s - 139*s + 7*s**2).\nAnswer: -28*s**3 + 10374*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-264) + 6\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1405*b**2 + 1481*b**2 - 3310*b**2)*(b**2 - 2*b**2 + 3*b**2)*(5*b - 2*b - 4*b).\nAnswer: 848*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5520\/315)\/23)\/((-60)\/(-7))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*h + 37376 - 16774 - 13727 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 5, c: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**6\/30 + 6*w**5\/25 + 73*w**4\/20 + 214*w**3\/15 + 126*w**2\/5 + 104*w\/5 + 190. Determine l so that o(l) = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.55? (a) -950 (b) -0.3 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 2, -4, 4, 0 in decreasing order.\nAnswer: 14, 4, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(153) + -1)**2 + (sqrt(153)*-2 - sqrt(153) - sqrt(153))\/sqrt(9).\nAnswer: -10*sqrt(17) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9310)\/(-209)*(-4334)\/1379.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4340729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -23. Let l(s) = -265*s + 0 + 161*s + 3. Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -188\/5. Let s = -0.2 - 2.8. Which is the second smallest value? (a) s (b) -5 (c) f (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*g**4 - 7*c*g**3 + c*g**2 + 195*c*g + 2*c - 11998*g**4 + 125 wrt g.\nAnswer: -24*c*g - 42*c - 287952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.07 - 1. Let x = -0.23 - s. Suppose -2*y - 10 = 3*y. What is the biggest value in -3, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11326 and 4045.\nAnswer: 56630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*t - t + 23, -3*y - 57 = 5*t. Is -9 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 + 3*n - 7. Let x be j(-5). Suppose 0 = -x*c - 9, -2*c - 62 = -2*z - 0*c. Suppose -h = 3*h - z. Let m(q) = q - 1. Give m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1332819\/158401 + 816\/97. Let l = 24561\/35926 + k. Calculate the common denominator of -85\/122 and l.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2090640 and 418128?\nAnswer: 2090640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*f + 0 = -4, -4*x + f - 29 = 0. Let k be (-10)\/15 + x\/(-10). What is the closest to -0.5 in k, 1, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2868618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 736 + -517. Suppose -3*o - z = -645. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2760, 0.2, -5\/4?\nAnswer: -2760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7224 divided by 903?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o - 14. What is the remainder when b(-10) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010101000101000110 (base 2) to base 11\nAnswer: -705754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 + 9*k + 11. Let f be t(6). Put 0, f, -2 in decreasing order.\nAnswer: 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 30*l**2 - 7. Let q(o) = 40*o**2 - 9. Let x(g) = 9*d(g) - 7*q(g). Let f(j) = -101*j. Give f(x(r)).\nAnswer: 1010*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h**2 + 190*h**2 - 22*h**3 + 51*h**3 - 32*h**3 - 98*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338726*a**5 + 244241*a - 1?\nAnswer: -6774520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 1600, 258, 5, 0 in descending order.\nAnswer: 1600, 258, 5, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -83 (c) 4\/11 (d) 2 (e) 64 (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -609591.2300024 + 609591. Let d = 0.23 + t. Round d to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -80. Let r(o) = 2*o**3 - 33*o**2 + 18*o - 33. Let c be r(w). Let d(q) = -57*q - 8. Calculate the remainder when d(c) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21 - 507\/182?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475638371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18)*s**(-2\/7)*s)\/(s**(-20)*s*s*s**(3\/5)) assuming s is positive.\nAnswer: s**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = -7. Let p be ((-7)\/(-14))\/(x\/688). Let l = p - 95. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*q**2 - 9*q**2 - 9*q**2)*(-1 + 1198*q + 50*q**2 - 604*q - 598*q) to b*q + p*q**3 + m + w*q**2 + i*q**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + 9 - (7 - -9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 + 125672280*l - 9212887810232400.\nAnswer: -3*(l - 146617660)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 560*s**3 + 1393. Let p(j) = -7284*j**3 - 18111. Let d(x) = 2*p(x) + 27*z(x). What is the derivative of d(u) wrt u?\nAnswer: 1656*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.9 - -32. Let h = x + 11. Which is the biggest value? (a) -0.01 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8060948?\nAnswer: 2, 7, 23, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -44746*j - 44757. Give o(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 573829*a**2 - 394126*a wrt a?\nAnswer: 1147658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158235809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u + 3*u + 3*u - 1. Let p(j) = -5*j - 5. Suppose 0 = 3*l - 6 - 6. Let b be -4 + (-1 - l\/(-1)). Give b*p(v) + 4*x(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 9*j + j - 9)*(2*j**3 - 1 + 1 + 2*j**2 + (-1 + 1 + 1)*(2*j**3 - 2*j**3 + 2*j**3) - 38*j**3 - 40*j**3 + 17*j**3).\nAnswer: 57*j**4 + 511*j**3 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + -137. What is the common denominator of (381\/(-48) - -4) + 0 and ((-3)\/(-16))\/(2\/u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 21. Calculate the remainder when 26 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -29. Solve -4*g = -t - 5, 8*t - 3*g = o*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v**2 + v - 14. Suppose -11*d - 2 + 57 = 0. List the prime factors of l(d).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856218 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -33, 0.2992 in decreasing order.\nAnswer: 0.2992, -33, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(1\/3)\/((-258)\/(-1548))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 15. Let b(k) = -k + 3. Let o(l) = 11*b(l) + 2*g(l). Let d be o(5). Let q = 8 + d. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*66617.59.\nAnswer: 466323.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k - 25. Let h(d) = 2*d - 1. Let l(x) = -6*h(x) + q(x). What is the first derivative of l(g) wrt g?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -0*o + o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1db32 (base 14) in base 9?\nAnswer: 125574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1964827l?\nAnswer: 196.4827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 271*d - 96*d + 11 - 2.\nAnswer: 175*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -321*d + 6032. Calculate the remainder when s(18) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542667456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181615180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + (-1 - -13 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*i**3 + 8*h**3*i - 5*h**3 + 2*h*i**4 + 13*h*i - 3*h + 285*i**2 wrt i.\nAnswer: -18*h**3*i + 24*h*i**2 + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + 67. Let h = 108 + g. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 + 45\/55. Which is the nearest to -0.2? (a) i (b) -1\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/12 + 2*t**3\/3 - 3*t**2\/2 - 24*t. Let p be g(2). What is the remainder when 708\/(-8)*(-6)\/p is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 343656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.4 (b) 3\/2 (c) -33 (d) -1 (e) 0.2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*l - 11, -4*i = 10*l - 8*l - 14. Let h be 1\/i + 1\/((-3)\/(-29)). Let t be (-7)\/(-21) + h\/6. Solve 3*f + 13 = -t*y, -2*f = 3 + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) -0.05 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2364 and 85\/983661?\nAnswer: 775124868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516864426.\nAnswer: 2, 3, 13, 31, 59, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x - 288. Suppose 9*j = -3*j + x. Differentiate j*h + 20 + 12*h + 4*h wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455100 and 24420.\nAnswer: 5006100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 12*f + 9. Let l be o(5). Sort 5, -5, l, -3 in increasing order.\nAnswer: -5, -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 53922*v**3 - 7 - 53922*v**3 + 2*v**4 - v**4 - 3*v**2 - 2*v**2 to q*v**4 + a*v**3 + b*v + h*v**2 + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.1 - 31.1. Which is the smallest value? (a) t (b) -1\/3 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3 and 33\/290?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 49504\/65 - (-14)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 7*b**4\/12 + 3*b**2\/2 + 2*b. Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + 0.46. Let z = 0.620007 - q. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7268005 is divided by 330363.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 9197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from uoubkobikubb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -82. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 - 3) + 2 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/3 + 0 + -1. Let h = 95\/22 - -2\/11. Let s = t + h. Is s <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -1\/2*u**2 + 0 + u**3 - u. What is the units digit of c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-18)\/(-2)) + (-148)\/(-36). Suppose 0 = -v*f + 186 - 54. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000001010000000 - -10?\nAnswer: -1010000001001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9 + 4\/9*z + 2\/9*z**2 = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3 and -20\/1191.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/13))**(-15))**(-34) assuming u is positive.\nAnswer: u**(1020\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.38 + -0.456. Let r = w + 0.07599967. What is r rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k*k**(-24)))))\/k*k*k\/k**(-1\/2)*k*k)**(-36))**(2\/21) assuming k is positive.\nAnswer: k**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 - 4*g - 6. Let k be l(3). Suppose -22*h = -k*h - 104. Solve -3*v + 5*v = -h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(-2*sqrt(1200))*-6.\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 4 (b) -0.2 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14615 is divided by 14604.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171755 - -171755.000107641. Round z to 6 dps.\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1703*x - 551790. Determine y(324).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 + 2*z - 507. Let g(s) = -2*s. Give g(w(b)).\nAnswer: -16*b**2 - 4*b + 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 1 + 5*a**3 + 5.\nAnswer: -3*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/134568 and -1\/12.\nAnswer: 134568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13677351, 54709360, 123096041, 218837394?\n\"Answer: 13677336*b**2 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, -163 in descending order.\nAnswer: 5, 4, 1, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h. Let o be (4\/(-6))\/(8\/(-396)) - -1. Suppose 4*p - 3*p - 5*n = 7, -4*n + o = p. Let a(s) = 3*s + 8 + 14 - p. What is a(b(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 859100 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278289609?\nAnswer: 3, 13, 17, 419743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*y + 4*d + 18, 0 = 4*y - 4*d - 16. Let q be (-1)\/(1*(-2)\/6). Suppose -2*l + 2*t = -14, l + 5 = y*l - q*t. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 0.504?\nAnswer: -1.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + sqrt(1216) + (sqrt(1216) + 1)**2 + -4.\nAnswer: 32*sqrt(19) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 30*d. Suppose 2*z - 17*z + 4260 = d. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**2\/2 - n + 43. Let z(a) = -7*a**3 - 24*a - 6. Let x(b) = -b**3 - 6*b - 2. Let g(s) = 9*x(s) - 2*z(s). Give 6*f(t) - g(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -119660, -239167, -358522, -477725, -596776?\n\"Answer: 76*o**2 - 119735*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 2*b**2 + 2*b**2 + (-2*b**2 - 2*b**2 - b**2)*(1 + 1 - 8).\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*f**3 - 3*f + 3*f)*(-3*f - 2*f + 4*f + (1 + 3 + 1)*(-2 + 2*f + 2) - 2*f + 0*f + 0*f + 0*f + 2*f - f).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-25740)*33)\/(-1*(-1)\/(-130))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*d**3 - 244*c*d*v**2 - 8*c*v**2 - d**3*v**2 + 36*d**3 + d*v - 2*d with respect to c.\nAnswer: d**3 - 244*d*v**2 - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*c = 127*c + 32. What is the least common multiple of 100 and (c\/6 + 2)*(-180)\/(-10)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(288) - ((0 + sqrt(288) - sqrt(288) - sqrt(288)) + 1))**2*5.\nAnswer: -720*sqrt(2) + 51845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*h = -7*h - 180, -3*h = 5*y - 300. What is the highest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 30, -1\/22, 3\/13 in ascending order.\nAnswer: -1\/22, 1\/5, 3\/13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/11 + 12*r**4\/11 + 72*r**3\/11 + 80*r**2\/11.\nAnswer: -2*r**2*(r - 10)*(r + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-15 + (-1 - -4))) + -23 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98865410 divided by 5?\nAnswer: 19773082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -1\/4, -51872, -0.2, 0.3, -1\/6, 13\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 117. Suppose 7*h - n = 10*h + 103, 2*h = -3*n - 57. Let i = h + o. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 6, j: 4, l: 3, n: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 2*p - 2*p)*(5 - 3 + 0)*(138*p**2 + 223*p - 433*p + 213*p) to d + a*p**2 + q*p + b*p**3 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, q: 6, p: 4, u: 1}. Give prob of sequence ulq.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 53. Suppose 4*a = t + 65. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/3 - 676*b**3\/3 + 1370*b**2\/3 + 3388*b\/3 - 1360 = 0.\nAnswer: -340, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -975*g - 1612.\nAnswer: -975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*2817.96\nAnswer: 563.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/99 and (-1 - (-47)\/9)\/(176\/(-30)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -30. Suppose 22*q - 4 = y*q. Let b be -2 + 1 + (-2 - -3). Solve j + q = -b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 10739. Let x(u) = u. Calculate k(x(l)).\nAnswer: -2*l - 10739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76011? (a) -4 (b) -2\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*s + 40, -4*s + s + 29 = -2*y. Calculate the highest common divisor of 117 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-10)\/8)*(-2626)\/(-13130). Let n = -0.38 + 0.08. Which is the third smallest value? (a) d (b) -96 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110 (base 3) to base 11.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 7*z - 4. Suppose -2*x - 2 = 4*d - 14, -5*x = -d - 19. Let l be t(x). Solve l = 2*s - y - 2 + 3, 2*s = 3*y - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 50*f**2 - 37*f - 351. Calculate the least common multiple of w(49) and 553.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 3, a: 1, r: 1, y: 1}. What is prob of sequence ri?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 14, 4, 3 in descending order.\nAnswer: 18, 14, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109 - (-192 + 44)) + (-3 - 24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5*i - 24 = -4*h, -30 = -5*h - 4*i. Let y be 5 + 1\/(-2 + 1). Let c(a) = -a**2 + y*a**3 + 7 - a - 3*a**3 - 5*a**2. Calculate c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 95*r - 70*r - 55*r. Let b(v) = v + 3. Let f(x) = x**2 - 2*x - 6. Let t(o) = 2*b(o) + f(o). What is j(t(n))?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -25429\nAnswer: 9\/25429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2071080 and 8025?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 172213305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 6. Suppose 0 = -3*w + b. What is the greatest common divisor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 14*x**2 + 8. Let d be (42\/(-9))\/2*6. Let m be n(d). Suppose 2*v = 20 + m. Which is bigger: v or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2114, -6354, -12720, -21212, -31830, -44574, -59444?\n\"Answer: -1063*g**2 - 1051*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1964 + 2018. Calculate the remainder when 912 is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*b - 3*w + 24, 5*b - w - 60 = 0. Let z = -157\/80 - -25\/16. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - (720\/160)\/((-1)\/558).\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 2. Let j be g(0). Suppose 5*o - 5*y - 610 = 0, -121 - 1 = -o - 3*y. Let z = 125 - o. Is z bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = 214 - 2524. Let r = 331\/3 - c. Factor 2\/3*b**3 + 0*b + 0 + 1\/3*b**4 + r*b**2.\nAnswer: b**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -95.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let c = t + -2. Is (1*-2)\/(c\/26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 3\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 3, -0.106 in ascending order.\nAnswer: -0.106, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110 - (-6 + 1) - (1 + -1). Suppose -2*t - q = -h, 0*t + 4*t - 109 = -h. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -8. Let p(v) = -3*v - 16. Let r be p(-3). Let a = r + c. Solve a*g = 4*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10.382097 months?\nAnswer: 0.86517475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8)*(-44)\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -165. Suppose 0*t - 5*t + w = 0. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - 102. What is the remainder when g is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 1\/2, -1.7, 3\/5, 2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:36 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10877 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4435*o + 1020046. Determine p(-230).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6328 (base 11) to base 14\nAnswer: -30a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -7*r + 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120449, 481784, 1083991, 1927058, 3010973, 4335724?\nAnswer: 5901299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*k*z**3 - 147192*j*k*z + 2*j*z**3 + k*z**2 + 14*k*z - 3*k + 3*z**3 + 571*z**2 + 5*z wrt j?\nAnswer: 2*k*z**3 - 147192*k*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2314*w**2 - 2 + 2 + 6*w**3 + 0*w**3.\nAnswer: 6*w**3 - 2314*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 69036*m**3 - 138068*m**2 = 0.\nAnswer: 0, 2, 69034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1519028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7810844*z**4 - 8033*z**2 + 334*z.\nAnswer: 187460256*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 46*b - 34. Let s be l(3). Let n be ((-3)\/4)\/((-117)\/s). What is the third biggest value in -0.5, -3, n, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + 5*m - 12. Let v(c) = 5*c**3 + 29*c**2 - 24*c + 61. Let g(w) = 11*i(w) + 2*v(w). List the prime factors of g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11031*r**2 - 2 + 2.\nAnswer: -11031*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -399 (base 13) to base 12\nAnswer: -449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -2*v + 6*v. Suppose 0 = 10*z - 416 - v. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1819 divided by 1\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19964701*q**6 - q**2 + 12439669 wrt q?\nAnswer: -2395764120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 17*j - j + 4344*j**2 + 0*j + j.\nAnswer: 4344*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6049.093 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*b = 2 + 12, -5*r = -3*b + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-44))\/(2\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 - y - 1. Let n = -6518 + 6519. What is f(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71355629.\nAnswer: 199, 358571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 0 + 0)*(-l**3 + 3*l**3 - l**3) - l**4 - l**4 + 6 - 16 in the form c + n*l**2 + z*l**3 + i*l**4 + j*l and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1705 - -1705.4. Let d = -0.07 + -0.23. Let h = -0.2 + d. What is the nearest to 1 in b, h, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2107 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3 and 41\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 28137.1.\nAnswer: 225096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 588\/(-70) + 9 + (-63)\/5. Let v(c) = 3*c - 20. Let b(j) = -4*j + 21. Let h(d) = -5*b(d) - 6*v(d). Calculate h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**2\/2 + 22. Let k(g) = 2*g**2 - 25. Let a be k(-6). Let m = a - 42. Let t(b) = -7*b - 1. Determine m*f(q) + 2*t(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 232964839 from -0.03.\nAnswer: -232964839.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1452439 - -1452425.00038. Let j = 14 + d. Round j to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 11*h - 8. Let s be p(-10). Let l(t) = -t**3 + t**s + 0*t**2 - t**3. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -477 (b) -0.5 (c) 2\/5 (d) -0.3 (e) 8.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -4\/7, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/3)\/(1\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -0.4, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlllh. What is prob of sequence lhhl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l*l**0\/l))\/l))**2*((l*l\/(l*l*l**(-6)\/l*l)*l)\/l)\/l**5)**(-2\/53) assuming l is positive.\nAnswer: l**(-6\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2213, -101\/39, 2?\nAnswer: -101\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3 - 32. Suppose 6*d - 11*d + 255 = 3*s, 3*d - 147 = -3*s. What is the remainder when d is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22667757 times 0.9?\nAnswer: -20400981.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 86099?\nAnswer: -63\/86099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 9*v - 3*v)*(0*v - 2*v**4 + 0*v) + 4 + 0 + v**5 - 3.\nAnswer: 17*v**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q - 8. Suppose -6*m + 4 = -2*m. Sort 0, m, q in descending order.\nAnswer: m, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 9*d + 64. Suppose 0 = 2*l - c - 28, 2 = 2*c - 2. What is the remainder when -2*(-4)\/(d\/(-172)) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 8 - 28. Let o(p) = -3*p**3 - 9*p**2 - 2*p - 4. Let m(z) = -z**3 - z**2 + z. Let a(c) = 4*m(c) - o(c). Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -70207271*x + 70207271*x - 6*x**2. Let w(n) = 889*n. Determine c(w(p)).\nAnswer: -4741926*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + k = 16399995, 2*k = -4*c + 16399990. What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -169*t**4\/12 + 479*t**3\/2 + 2443*t**2. Differentiate s(f) with respect to f.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 40. Suppose 0 = -j + 65 - m. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 64. Let b(l) = l**2 + 10*l + 24. Let r be b(d). Let i be (-6)\/9 - r\/(-117). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*i**4*z - 6*i**2*z - 13*i*z + 8*z + 42032 wrt i.\nAnswer: -448*i**3*z - 12*i*z - 13*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 6*h + 122. Let i be k(-19). What is i rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwttttttwtwttbwtt. What is prob of picking 1 b and 2 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {q: 11, w: 6, m: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -1\/5, 2, 0.3, -2, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)\/p**0*(p**(2\/11))**(-15\/8) assuming p is positive.\nAnswer: p**(-133\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 432?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749720 is divided by 28058.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 27330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:54 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let f(w) = -4*w - 1 - v*w - 5*w. Suppose -2*a - a - 7 = 4*o, -2*a - 7 = 5*o. Determine f(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.42 - 1.88. Let l = -67.8 - -65.424. Let q = k - l. Round q to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-24) + (-12)\/(-18). Let f = -0.33 - -0.03. Let x = f - -0.1. Put z, 1\/7, x in increasing order.\nAnswer: x, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004757715 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + 4\/4. Suppose 0 - j = -2*f. Let s be ((-8)\/12)\/((-2)\/12). Solve -4*r - 24 = -s*p, 14 = -2*r - r + f*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 496*i - 494 = 0.\nAnswer: 1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -65.92. Let p = -0.08 - f. Sort 0.5, 2\/5, p in decreasing order.\nAnswer: 0.5, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1615*-209.\nAnswer: -337535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 32*s + 21. Let q be 14*1 - 0 - 54\/(-54). What is the hundreds digit of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmvt when four letters picked without replacement from {v: 6, m: 1, t: 2, j: 4}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84.3 - -104.3. Suppose f + 2*t = -3, -4*f - 12 = -5*f + 3*t. What is the third smallest value in r, 1\/2, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*z - 317 - 3488 = 2227 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 543417, 543393, 543361, 543321, 543273, 543217, 543153?\n\"Answer: -4*f**2 - 12*f + 543433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gegg when four letters picked without replacement from {k: 2, g: 3, m: 1, e: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 15. Suppose -4*q - 12 = 2*n, 2*n - 19 = q - j. Suppose 2*g + 5*s + 11 = 3*g, 4*g - n*s - 28 = 0. Solve w + 10 = g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -2. Let m = w + 33. Which is bigger: -14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -580\/11 > -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:12 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*a, 45 = 4*i - 5*a - 0*a. Let z = -3 + i. Let y(v) = 10*v**2 + 6 - 2*v**2 + v**3 - 3*v**z - 7*v. Determine y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c**4 + 129*c**5 - 18*c**4 + 406*c - 19*c**4 + 56*c**4 wrt c.\nAnswer: 2580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let d be ((-10)\/6)\/((-28)\/21 - -1). Suppose -4*f - 49 = -d*k - 0*f, -44 = -4*k + 2*f. Let b(x) = -3*x**2 + 13*x - x**2 - k*x. What is b(q(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 35*t - 5*t - 574 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 7\/26, 2, -0.5, 0.4, -0.32 in ascending order.\nAnswer: -0.5, -0.32, 0.2, 7\/26, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:32 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71578334?\nAnswer: 2, 389, 92003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, 0 in decreasing order.\nAnswer: 5, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1643\/3 + 539. Let q = -10 - o. Is q at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-2))\/(-7 + 16). What is the second biggest value in 5, q, -4, -0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5 - 13. Suppose s = i*s. Is s not equal to 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-25))\/(4\/50). Suppose 4*l = 30 - 6. Let t = u + l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -5, 3, 4 in increasing order.\nAnswer: -5, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 239. Let j(c) = 13*c + 438. Let y(f) = -6*j(f) + 11*p(f). Let m(l) = -l + 1. What is -7*m(b) + 5*y(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let c(d) = 14*d**2 - d + 1. Let i(n) = 11*n**2 + 264*n + 4. What is the remainder when c(f) is divided by i(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 - 4*l**4 + 4*l**3 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*i + 60, 5*s - 93 = 3*i - 7*i. Let r(z) = -z**2 + 6. What is the remainder when i is divided by r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 4, -2, 1, 310891, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15125065\/41 + 368724. Let h = s - -180. What is the common denominator of 32\/9 and h?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 16. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69725 - -173254. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 243*m**2 + m**3 - 243*m**2.\nAnswer: m**3 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -11*y + 17. Let n = y - -2. Put n, 0, 5 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 172491 (base 11) to base 13\nAnswer: 9457b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7859*p**2. Let s(a) = -a. Determine s(z(d)).\nAnswer: -7859*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8*q + 10 = 0, -d = 2*q - 30. What is the highest common factor of d and 2560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1862 + -1863. Let g(p) = p**2 - 1. Let x(a) = -10*a**2 + 15. Suppose 0 = -2*b + 4*b + 30. What is b*g(i) + v*x(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 1.2. Let l = t + 14.2. Let d = l + -14.5. What is the nearest to 0 in d, 4, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -17, 0.07, 2 in ascending order.\nAnswer: -17, -1\/4, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 + q + 19. Calculate r(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100001 - -11010000?\nAnswer: 110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131998, 263993, 395988, 527983?\nAnswer: 659978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2. Let k(o) = -3*o**2. Let a(p) = 4*c(p) + 14*k(p). Let m(g) = 124*g. Determine m(a(l)).\nAnswer: 248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + (-33)\/(-15). Suppose 5*l = -j*p - 2*p + 105, 0 = 3*l + 2*p - 65. Let w = -12732 - -12737. Calculate the greatest common divisor of w and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966550.2 minutes in nanoseconds?\nAnswer: 57993012000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 13) to base 12\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:19 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 8*p - 1. What is the lowest common multiple of 2 and i(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, 1 o, and 1 f when four letters picked without replacement from {f: 6, d: 1, m: 3, w: 2, n: 2, o: 6}?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, u: 2, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6063 and 1833.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(27))\/sqrt(9))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Let m be 1 - (-2)\/(-34)*19. Put w, -2\/15, m in descending order.\nAnswer: w, m, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68b4ac (base 14) to base 16.\nAnswer: -366750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/70 - 3*k**4\/14 + 8*k**3\/21 + 37*k. Factor j(h).\nAnswer: 2*h*(h - 8)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904073559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.2 + -9.2. What is the nearest to q in 4, 4\/7, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 136, 15, 2, -6, 0 in descending order.\nAnswer: 136, 15, 5, 2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 24*j**2 - 26*j - 20. Calculate l(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) - 1*28. Let u(p) = -p**2 - 37*p - 55. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 1, a: 1, s: 5, n: 4}. Give prob of sequence sa.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 m when four letters picked without replacement from {f: 7, m: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 5*b - 9. Let u(q) = -8*q**2 + 14*q + 26. Calculate -14*a(i) - 5*u(i).\nAnswer: -2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_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 the next term in 652, 2700, 6114, 10894, 17040, 24552?\nAnswer: 33430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-9)\/l)))\/(((l*l*l**(-4\/7))\/l*l*l)\/l)*(l*l**(-1))\/(l*l**2\/l))**15 assuming l is positive.\nAnswer: l**(-1410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 12:07 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (156\/21 - ((-33)\/7)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 92, 62, 28, -10, -52, -98?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1434229712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1230, -1\/101, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -47*j**6\/5 + j**5\/20 + 2282*j**3\/3 - 4817*j. Find the second derivative of a(h) wrt h.\nAnswer: -3384*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7867 (b) 2\/15 (c) 1\/5 (d) 4 (e) 1 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 13*z**2 + 15*z - 3. Calculate s(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2730 and 1879435.\nAnswer: 1026171510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/3 - 4\/6. Let k(q) = q - 1. Let z be k(t). Let a(c) = -2*c + 7. Let f(j) = 2*j - 6. Let s(y) = z*a(y) - 7*f(y). Let m(p) = -3*p**2. Give m(s(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*s + 3 + 3, 4*s + 35 = 5*u. Let g(r) = r**3 + 3*r**2 - 10*r + 5. Calculate the remainder when 13 is divided by g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 7. Let q(o) = -o**3 - 6*o**2 - 8*o - 7. Let s be q(y). Suppose -x + 13 = 2*d - s, -30 = -x + d. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j**2 + 351*j + 2139. What is d(38)?\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 139 - 109. Suppose -1 = -d*c + 89. Calculate the remainder when 40 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5920 + -3102. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**3 - d**3 + (0*d**2 - 2*d**2 + 4*d**2)*(1 - 1 - 2*d) + (2*d**3 - 2*d**3 + d**3)*(2 - 3 - 2).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 770 + 0?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18530 rounded to the nearest 100?\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.5 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(304) + sqrt(304) + 1 - sqrt(304)) + sqrt(304)*1*-5 + sqrt(304))**2 + (-4 + (sqrt(304) + 4 + -2*sqrt(304) - sqrt(304))*-4)**2.\nAnswer: -1304*sqrt(19) + 20172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38*(3\/2 + -1). Let n(s) = s**3 + 4*s**2 + 18. Let k be n(-4). Is x greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x**3 + 5*x**2 - 89*x - 59. What is the remainder when s(-8) is divided by 286?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 5) to base 16.\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.5 - -35.5. Let z = -16 - -16.1. What is the closest to z in -2, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93a2f (base 16) to base 8.\nAnswer: -2235057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2664\/(-222) + (-316)\/(-26). Which is the closest to 0.6? (a) 1 (b) 0 (c) -5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 7*o**2 - 6*o + 2. Let x be d(6). Suppose x*q = 5*p + 20, 4*p - 18 = -4*q - 6. Let r be 12 - (p - (3 + -2)). Solve 4*g + 1 = -r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 a when four letters picked without replacement from {f: 9, p: 7, t: 1, a: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*-14 - 1. Suppose -p = -0*u - 2*u. Calculate the lowest common multiple of ((-15)\/(-35))\/((-1392)\/(-462) - 3) and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 9 = 3*t. Suppose 0 = 2*o - 3*z - 6, -t*o + 2*z + 0 = -9. Let x(w) = w**2 - w - 2. What is the units digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -62. Let s = -15.9 - f. Let q = 25.4 - 25.5. What is the nearest to -6 in s, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 138 - j - 75 - 63. Let m(p) = -p**3 - p**2 + 5*p. Calculate -5*i(y) - m(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 3*m + 13*r - 2460, 4*m - 3*r = 3275. What is the remainder when m is divided by 121?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - ((sqrt(130) - sqrt(130)*-2) + sqrt(130))*6)\/(sqrt(640) + sqrt(640)*-1 + sqrt(640))*-3.\nAnswer: 69*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -76*k + 191. Let t be x(37). Let i = t - -8602. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72462 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d0d2d (base 14) to base 5.\nAnswer: 231233241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Suppose -2*i + 4 = -4*i + 2*w, -3*i + 2*w - 1 = q. Let a = 9811 - 9807. Solve -2*f = -2, -a*f + i = -o - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4074313*j + 2753662 wrt j?\nAnswer: 4074313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, m: 1, a: 1, c: 5, g: 5}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91548646*c**4 + 5046*c + 30751.\nAnswer: 1098583752*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 - 4*w - 5. Let x be k(-4). Let a = 0 + -9. Let m = a + x. Solve -6*r + m*r - 2*v = 10, 1 = -4*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28848 - 24693. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -6 + (2 - 0). Let x = 0.38203 - -0.11797. Sort -21\/5, -0.4, x, f in ascending order.\nAnswer: -21\/5, f, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/11 + 36720*z\/11 + 257138\/11 = 0. Calculate z.\nAnswer: -7, 18367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**4 + 19\/2*u**2 - 1\/6*u**3 + 0*u**5 - 46\/21*u**7 + 8 + 8*u + 0*u**6. Find the second derivative of b(w) wrt w.\nAnswer: -1840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)\/y*y*((y**0*y)\/y*y)\/y)**(-5\/7) assuming y is positive.\nAnswer: y**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18*d. Suppose s + 3 - 30 = 5*k, -18 = -4*s + 2*k. Let a(n) = 0*n - n + s*n + n. Determine b(a(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-5 - -18) - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 21*q**2 - 8*q + 6. Let u be s(5). Let l = u - 282. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/8*(-4)\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 20*g**2 - 6*g**2 + 6*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j + 7. Let m be u(2). Let x(f) = 3*f**3 + 6*f**2 + f - 4. Let b(n) = 2*n**3 + 5*n**2 + n - 3. Determine m*x(s) - 4*b(s).\nAnswer: s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 129111.24 seconds in minutes?\nAnswer: 2151.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and -178 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 244801231310 and -0.048.\nAnswer: 244801231309.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from bannbbvabnkb?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, 2, 4 in increasing order.\nAnswer: -14, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -54. Let d(t) = -20*t**3 + t + 1. Calculate the remainder when i is divided by d(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 69*x**2 + 403*x + 269. Determine p(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8566 + 8567.0898. Round v to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 14*n**2 + 17*n + 30. Let b be i(-15). Suppose -2*a + 5*a - 15 = b. Let q(l) = 3*l - 2. Determine q(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y**3 + 49*y**2 + 44*y - 30. Let n(j) = 3*j**3 - 9*j - j**3 + 6 + j**3 - 10*j**2. Let r(b) = -11*n(b) - 2*t(b). Solve r(a) = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620528*t**3 - 3*t**2 - 3448099*t wrt t?\nAnswer: -3723168*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 82 = -5*w, -181*h + 184*h + 4*w - 68 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u. Let y(f) = -11*f. Let w(l) = -3*v(l) - 4*y(l). Let a(r) = 14*r**2. What is a(w(k))?\nAnswer: 896*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23201501.\nAnswer: 23201501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 35 (b) 2\/3 (c) 0.121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/13)*m))\/m**1*(m*(m*(m*m**3*m)\/m)\/m)\/m**(2\/5))\/(m**(-10))**(8\/3) assuming m is positive.\nAnswer: m**(5932\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:13 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 12*m + 390. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 18 = -p, 4 - 28 = -2*p + 5*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101100 - -10001?\nAnswer: 111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 13*k - 6. Give d(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 2*s**2 - 2*s - 1. Let x be f(-2). Let d be (4 - 10)*(-1)\/x. Let w(u) = -u**2 - 5*u**2 + 2*u**d + 3*u**2. Let h(j) = -7*j**2. What is h(w(q))?\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/z)**50*z**(-4\/3)\/z**(-2\/13) assuming z is positive.\nAnswer: z**(-882\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508280825 is divided by 144.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2684416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + 5*m)*(3 - 3 + m**3)*(-4*m - 2*m + 4*m) + (-4*m**2 + m**4 + 4*m**2)*(-4*m + m + m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8793 and 0.3?\nAnswer: 2637.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9612 divided by 8\nAnswer: 2403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*b**2*c**3 - 32*b**2*c**2 + 5*b**2*c - 4*b**2 - 2*b*c**3 + 148*b - 3*c wrt c?\nAnswer: -684*b**2*c - 64*b**2 - 12*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 20 = -8*m. Suppose -20 = -2*b - 2*w, b - 4 - 8 = -2*w. Are m and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5687*a**2 + 1779*a + 5690*a**2 - 1779*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 10 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 10*i**2 - 6*i + 2. Determine o(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/12437 and -83\/6.\nAnswer: 74622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - 2) - -6 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 227801791 - 0.0621\nAnswer: 227801790.9379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -453594.\nAnswer: -16\/226797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9099, 18741, 28927, 39657?\n\"Answer: 272*m**2 + 8826*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 - 3*n + 5. Let m(j) = 2294*j**3 + 1 + 0 - 2293*j**3 + 0. What is -5*m(l) + r(l)?\nAnswer: l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29731619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 2. Let f = 19 + -22. Let o be p(f). Suppose 0*s = 4*t + o*s - 156, -5*s = -4*t + 116. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -809\/8. Let r = 139 - 136. Let t be 2\/(-3) + 21\/18. Which is the closest to t? (a) n (b) 2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**8\/2520 + u**5\/60 - 6*u**2. Let d(l) be the third derivative of g(l). Let b(s) = -4*s + s + s. Determine d(b(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 57173786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 80 - 88 = 0. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 6*j - 9. Let u be f(-9). Let d(c) = -10*c**2 - u + 18. Let p(l) = -l. Calculate d(p(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*8\/112)\/(12\/(-1504))*(-9)\/(-6)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4945052.7 minutes?\nAnswer: 490.580625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwff when four letters picked without replacement from uwfuwffff?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 7. Let d be x(-6). Suppose d*s - 12 = 2*s. Suppose s*b - 3*b = 23. Solve -5*u - r + b = -2, 4*u - 5*r - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5276188 (base 9) to base 5.\nAnswer: 1210411030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15788, -31577, -47366, -63155, -78944, -94733?\n\"Answer: -15789*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a + 0*a**3 + 1\/2*a**4 + 0 + 0*a**2 - 3\/10*a**5. What is the third derivative of k(p) wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - r - 45 = 5*r, 2*s - 23 = -4711*r + 4708*r for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2249 + 3958. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 636945188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pnnwnnwswnpsnppwnp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxf when three letters picked without replacement from {f: 6, x: 1, o: 3, n: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.4148 and 1278648.7.\nAnswer: 1278642.2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -30*a - 44. Let i(o) = -34*o - 52. Determine 6*i(m) - 7*y(m).\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)\/(w*w**(2\/29)) assuming w is positive.\nAnswer: w**(-437\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.85396218 rounded to two decimal places?\nAnswer: -54.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*d - 126*d = -109 + 415 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s)**(-33)\/(((s*s**(1\/2)*s*s)\/s*s)\/s)**(16\/9) assuming s is positive.\nAnswer: s**(-1645\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 divide 4156347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-29 - -33 - -2 - 25).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -708*-0.5\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 15. Suppose -b + k = 0, -b + 6 + 9 = 2*k. Let q be o(b). Suppose q = f - 3*f + 334. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eennneseeselkenssl. Give prob of picking 1 s and 1 l.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18511277 to the power of 1\/2, to the nearest integer?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/216*(-6)\/42?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 3, 6, 11, 18, 27, 38?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4839 - 4801. Solve 35*r - s*r + 21 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 152*q - 123. Let a be i(1). Solve -5 = -a*n + 28*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5515104 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 120656*k. Let z(o) = 10*o**2. What is z(d(x))?\nAnswer: 145578703360*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuouu. Give prob of sequence ou.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*i - 24 = 10, -2*u + 3*i = -22. Suppose 5*y - u = -3*t + 2, -t - 4*y - 6 = 0. Suppose t*h - 180 = 90. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 4. Calculate the remainder when z(1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126851\/11 - 11533. Let a = 21 - 19. What is the nearest to 1\/4 in a, 0, -5, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185442 and 1581.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k - 10. Let s be q(-8). Suppose -4*x + s = 3*c, -x + 3*x - 62 = -4*c. Calculate the greatest common factor of c and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) + (-900)\/(-8). Suppose -2*d + 49 = 5*j - 0*j, 3*d = 5*j + i. Calculate the remainder when 8\/8 - (-3 + (-122 - 1)) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 10*b**2 + 6. Let g be f(-10). Suppose 2*v + g = 3*v + 4*i, v = 2*i. Suppose 180000 = s - v*s. Round s to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 114, 115?\n\"Answer: n + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 25*v - 27. Let h be m(1). Sort h, -1, 4, -92 in increasing order.\nAnswer: -92, -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 7 = -2, 5*g + 10 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-15) - (-3043428)\/29955.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -67\/13 (b) -0.3 (c) -2 (d) -55 (e) -1\/2 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-239155)\/(-84) - (88\/(-96) - -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1\/13))*(d\/(d**(-2\/11)\/d))\/d)\/(d\/d**(-20)*d*d*d**(-16)) assuming d is positive.\nAnswer: d**(-843\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2762, -5520, -8290, -11078, -13890, -16732, -19610?\n\"Answer: -l**3 - 2751*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6256964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:12 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -2.1. Let c = -27 - -31. Sort a, c, 1\/5 in descending order.\nAnswer: c, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 64 = v - 4*l, -5*v = l + 196. Let z be (6\/10)\/(-5 + (-168)\/v). What is the closest to 3 in 3, z, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34662*j - 34662*j + 486*j**2 as a + c*j**2 + b*j and give c.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43333628 a multiple of 2197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2737, 2884, 3043, 3220, 3421, 3652?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3\/2 - 5*a**2\/2 - 2*a. Let y be o(-5). Let z = -3 + 6. Solve -2*x = z*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*r - 14 + 37, 2*l + 2*l - 16 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-3)*(3 - 0). Let z be (-15)\/6*s\/(-1). Solve 5*n - 10 = n + 2*d, 5*d + z = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 963168754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (50\/15)\/(-1)*42\/(-56)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - 285\/(-6). Let c = -120 - -126. Calculate the greatest common divisor of g and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289 or -290?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327 - -397. Suppose -77*u + 83783 = -r*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -20 - 1) + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 84*g + 1676. What is l(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4322*u**4 - 4*u**3 + 4*u**2 - 35339*u wrt u.\nAnswer: 51864*u**2 - 24*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 84 = 2*b. Suppose 0 = -2*r + m + 53 + 118, m + b = r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*480\/131120*4\/(-3)*(-5)\/20?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 53*l. Let f(c) = 24*c. Determine u(f(k)).\nAnswer: 1272*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let y(v) = v + 1. Let a(q) = b(q) + 3*y(q). Let n(x) = -6*x - 3. Calculate -4*a(j) - 3*n(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269159 divided by 171?\nAnswer: 423053\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n + 13. Let p be v(3). Let c = p - 272. Does 21 divide (-2 + c)*5\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2881, -5801, -8801, -11923, -15209, -18701?\nAnswer: -22441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*m**2*y**2 + b**3*m*y + 11*b**3*m - 7*b**2*m**2*y**3 - 4*m*y - y**3 wrt m?\nAnswer: 4*b**3*y**2 - 14*b**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000736 to seven decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 555129 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 3*z**2 + 3*z**2 - 4 - 10*z**4 + 4*z**4 to the form b + p*z**2 + a*z**4 + s*z**3 + j*z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-3)\/6*-5. Let t(n) be the first derivative of 2*n**3\/3 - 9*n**2\/2 - 9*n + 607. Let o(c) = -c**2 + 5*c + 5. Determine y*o(d) + 3*t(d).\nAnswer: d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 413 + 23*p**2 + 33*p**4 - 410 - 37*p**4 to the form f*p**2 + b*p + i*p**4 + v*p**3 + l and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 9*x - 7. Is i(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 76 = 8*r. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**3 + 2. Let j(s) = -13*s**3 + 5. Determine 4*j(u) - 10*q(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-4)*4)\/(sqrt(9) - -4*sqrt(225)).\nAnswer: 20*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10639, -21298, -31929, -42520, -53059, -63534, -73933?\n\"Answer: 2*g**3 + 2*g**2 - 10679*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650677375.\nAnswer: 5, 37, 269, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/140*(-4)\/5. What is the biggest value in -5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 80 = 244. Let n(g) = -l*g - 17*g + 41*g - 14*g. Let m(a) = -4*a. Determine m(n(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3557 - 3530. Solve 3*d = -k + 4*k - n, -k + 5 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011011100100001100 (base 2) to base 6\nAnswer: 21353552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/94 - -105\/1034. Is 0 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - c**4 - 98068298*c**3 - 10427*c**2 + 920*c + 6 wrt c.\nAnswer: -60*c**2 - 24*c - 588409788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4*u - 2084*o**4 + o*u - 758*u + 6 wrt o?\nAnswer: 12*o**2*u - 25008*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2780 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 7*f**2 + 2*f - 1. Let i be w(7). Let o(y) = y + 6. Let j be o(-4). Solve -3*a - j = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a - 109. Let d = a - -77. Let u = 45 + d. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -17)\/((-10)\/(-5)). Suppose -3*a + i*a = 115. Let p = a - 3. What is the remainder when 35 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**6\/45 + 76*c**5\/75 - 7*c**4\/6 - 148*c**3\/45 - 721. Suppose w(h) = 0. Calculate h.\nAnswer: -1, 0, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n**2 + 2*n**2 + 13 + n**3 + 0*n**3 + n. Let z be v(-10). Is z greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, l: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 + n**2\/2 + 2*n + 5. Suppose 10*u - 14*u + 3*c = -3, 4*u + 3*c = -3. Determine j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:31 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l + 86. Let p(m) = 11*m - 173. Let o(k) = -5*a(k) - 3*p(k). Calculate the lowest common multiple of o(15) and (1 - 0 - -38) + 1.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -68\/9393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1aa3 - -1?\nAnswer: -1aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 168*o + 156*o - 481*o + 157*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (1 - (2 - 3)). Let s(q) = 7*q**f + 2 - q - q + q**3 - 2 + 4. What is the units digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 + 0\/1. Suppose -k = -2*u + 3. Suppose -c = -u - 0. Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 at least as big as 24\/487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 359791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1591.2577251 to two dps.\nAnswer: -1591.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*w + 12 = -10, 4*w + 8 = 0. Put y, 2, 19 in ascending order.\nAnswer: y, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7393 + 0.2184. Let c = 0.52 + k. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 divided by 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200 * -0.0126.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.37 - -2.27. Let s = 1.9 - a. Sort 2\/11, -4, s in ascending order.\nAnswer: -4, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 + 7 - (-46 - -41)) + 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(684) + -1*sqrt(684) + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 15 = -7*w. Let h be w + (0 - 5\/((-100)\/52)). What is the third smallest value in -0.5, -2, 8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5 - 4 + 3*v - 1. Let f(g) = -6*g. Calculate f(w(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.09 + 0.91. Let b = -189746333.9999908 + 189746377. Let y = c - b. What is y rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 12*c + 13*c + 7*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/17 (b) 60 (c) -0.3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -44*n. Let l(q) = -647*q + 0 + 0 - 651*q + 1300*q. What is l(o(j))?\nAnswer: -88*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24188 is divided by 221.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k. Let d(u) = 24449600*u**2. What is d(c(g))?\nAnswer: 11833606400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-2) + 0)\/((-448)\/128). Factor -2\/7 - o*s - 2\/7*s**2.\nAnswer: -2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:28 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697629 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149633b (base 13) to base 11.\nAnswer: 3796806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000950055 rounded to seven dps?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -3\/2 (b) 1.8 (c) -196 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1011607 and 16559.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -58, 6, -0.1, 7\/9, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*k + 20*k + 23 + 19*k)*(-1 + 0 - 1) to z + w*k and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((27 - 29)*1)\/1)\/(1 + 155)*3.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272\/1133 + -6\/103. Let n = 19\/50 - -3\/25. What is the closest to 3 in -0.5, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/142317 and -149\/18.\nAnswer: 284634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 11*n + 3. Let m = -10 - -5. Let f(o) be the third derivative of o**5\/60 + 7*o**4\/24 + o**3\/3 + 72*o**2 - 2*o + 6. Determine m*j(t) + 8*f(t).\nAnswer: -2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 290, 4335 in ascending order.\nAnswer: 156, 290, 4335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 42*z**2 + 21 + 18.\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-25924)*((-4)\/(-8) + -1). Let i = -473129\/51848 - c. What is the common denominator of -30*(2\/(-8) - 0) and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - -12 - 11*-1. Calculate the greatest common factor of b and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 40 = -4*c. Suppose -3*d + 6 = -2*a + 6*a, -c = -5*d - 2*a. Let m(r) = 23*r**2 - 3*r + 3. Is m(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -211?\nAnswer: 1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u + 90*u = 310 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6744 is divided by 437?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 o when four letters picked without replacement from {f: 2, z: 2, m: 11, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -679, -674, -665, -652, -635?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6 and -56\/5955?\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 4\/4 + -3. Suppose 4*c = -z + 19, 86 = j*z - c - 3*c. Suppose -t + 1 = -z. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7834 - -2.2166. Let j = -0.1 + 0. Let m = 125 + -125.3. Which is the closest to -1\/3? (a) j (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxluv. Give prob of picking 1 q, 1 l, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -7*l**4\/12 - l**3\/6 + l. Let u be d(1). Let c(j) = -j**2 - 11*j - 6. What is the least common multiple of 4 and c(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4 + (4 + 3 - 5)*(-1 + 1 + 3))*(-3*a - a + 3*a + (-1 + 3 + 0)*(-2*a - 3*a + 6*a) - 70*a + 3*a - 35*a).\nAnswer: -1010*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m - 23. Suppose 5*o - 32 = -2*d + o, 5*o - 25 = 0. Calculate the remainder when g(-3) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22302 and -44603\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 67 + 60 = 4*x, 0 = 2*r - 10. Suppose 2*k = -11*k + 2210. Let i be k\/45 - 4\/(-18). Calculate the highest common divisor of x and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*f - 5 = 0, 2*l + f + 6 - 1 = 0. Let w be 0*l\/15 - -2 - 0. Solve -6*o + w*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.876 + -4.876. What is the smallest value in -116, 3, b?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 39*i**2 + 38*i - 44. What is the smallest common multiple of 376 and g(-40)?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11891 is divided by 424?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 8. Let g be b(-2). Solve g*t = -4*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 4*c - 492 - 493 - c**2 + 982. Let q(r) = r**2 + 4*r + 2. Let y be q(-5). What is z(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2861 + -2860.8. Which is the third smallest value? (a) 0.5 (b) 873 (c) g (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 2*l**3 + 6*l**2 + 6*l - 6*l**3 + 5*l**3. Is 6 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by 237711.\nAnswer: 133\/237711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.50356 * -5\nAnswer: -12.5178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 14*b - 52*b + 11*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 22*f - 9*f = 17, 5 = 5*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*h + 4 + 25*h - 52 + 52 + (2*h + h - 2*h)*(1 - 2 + 0) - 2*h + 2*h + 2*h to a*h + w and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -7*d**6\/40 + 9*d**5\/20 + 5*d**4 - 6*d**3 + 301*d**2 - 2*d. Determine c so that i(c) = 0.\nAnswer: -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - 1) + (4 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in minutes?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/104*(17002 + -17000)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280940 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, g: 2}. What is prob of picking 2 h and 1 g?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -2*w + w = 0. Suppose w*g - 2 = z*g. Sort -3, 1, g.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332\/(-20) - (56\/56 + (-4)\/((-20)\/(-3)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9123.\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97808 = 5*k - 2*i, -2*i - 82706 + 4460 = -4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let s = 2 + 2. Suppose -p - 4*b + 5 = 0, -s*p = p + 3*b - 8. Solve f = -2*l + l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 6*q. Let s(z) = -z + 3. Give s(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 + -6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -3, 1\/15, -2, -1\/2 in ascending order.\nAnswer: -3, -2, -1\/2, 0.06, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*a + 39 + 9, -4*a = 0. Solve 0 = -p*z + 2 + 46 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 521 + 1?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -711, -1427, -2143, -2859, -3575, -4291?\n\"Answer: -716*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 3. Let v(w) = 10*w - 5 - 10*w + 9*w. Let p(k) = 6*v(k) + 13*z(k). What is the derivative of p(t) wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 84. Let k be p(-12). Let z(m) = m**3 + 6*m**2 - 7*m - 5. Let d be z(-7). Let u be 4\/d + k\/5. Solve 12 = u*j - 2*y, -y = j + 4*y - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = -m, 5*m + 9 + 0 = z. Let d(g) = -g**2 - 5*g + 1. Let i be d(-1). Which is the closest to 0.2? (a) m (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 70*r - 3. Let b(u) = -23*u + 1. Let p(s) = -11*b(s) - 4*w(s). List the prime factors of p(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49001199 smaller than 49001201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15524 = -4*p, 2*p - 5531 - 4809 = -2*y. Suppose -11*v + y + 1439 = 0. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08857 days in minutes?\nAnswer: 1567.5408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**6)*((((x**(3\/38)\/x)\/x)\/x)\/x*x)\/x)\/(x*x\/(x**(-20)\/x)*(x\/(x*x**(-4)))\/x) assuming x is positive.\nAnswer: x**(-909\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 12. Let q = -26 + 46. Suppose -a = -l*a + q. Sort a, 5, 0 in increasing order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192)\/(-14) - (-2)\/7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -3. Let k(t) = -275*t - 7101. Calculate the least common multiple of k(-26) and g.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72943\/14 + 5206. Let h = 821\/4 + -194. What is the common denominator of h and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 + -0.4. Let l be 9\/15 - (-81)\/15. Let j be ((-4)\/l)\/((-4)\/6). Which is the biggest value? (a) v (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12*c = -1200. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2 + x - 8. Let m be r(5). Suppose 315 = m*k - 238*k. Calculate the lowest common multiple of k and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -55 - (39 - (3 + 86))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(164\/615*5\/(-48)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1608 = -4594. Is z at least 1490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(192)*1 - sqrt(192))**2 + (-4 + sqrt(192) + (sqrt(192) - (sqrt(192) + 1 + sqrt(192))) + 2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 2, j: 4}. Give prob of sequence js.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/520 and 23\/8.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12 + 141. Find the common denominator of (17\/q)\/((-4)\/(-10)) and -67\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5765 + 5779. Solve -c + 3 = 0, -3*u - 19*c = -x*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10090 (base 14) in base 7?\nAnswer: -220240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1036*z**4 - 225*z**2 + 2?\nAnswer: 24864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3054 and 37990233?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665*t - 3603*t - 21*t**2 + 1938*t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1043 - 1005 + 3110 - 976 + 2*k - 521*k**2 wrt k?\nAnswer: -1042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - a**3 - 2*a**2 + 10*a**3 + 9 to the form h*a**2 + k + c*a + v*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(448) - sqrt(28))*-4)**2 - (2*sqrt(4032)*-2 - sqrt(4032))**2.\nAnswer: -96624 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 78 = -1708. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133152423 < -133152428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36853*p**2 + 2990*p + 66668363.\nAnswer: 73706*p + 2990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279127895 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i. Let g(c) = 2*c**2 + 59*c + 2. Give a(g(l)).\nAnswer: 6*l**2 + 177*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:01 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551429150?\nAnswer: 2, 5, 607, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11397.61l in millilitres?\nAnswer: 11397610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 4*d**3 + 0*d**3 - 2 + 0 + 2*d**2 in the form u*d**3 + v + k*d**2 + j*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*m - 12*m**3 - 35*m**3 + 32 - 102 + 42.\nAnswer: -47*m**3 - 196*m - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -189*r + 3311. Let m(s) = -535*s + 9929. Calculate -17*i(k) + 6*m(k).\nAnswer: 3*k + 3287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102965797 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j + 5. Let c be d(-6). Calculate the common denominator of 210\/8 - c\/(-20) and -25\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1132, -8787, -29328, -69121, -134532, -231927, -367672, -548133?\n\"Answer: -1061*l**3 - 77*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*q**2 - 44\/7*q**3 + 0 + 24\/7*q**4 - 2\/7*q**5 - 14*q.\nAnswer: -2*q*(q - 7)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (615\/(-105))\/((-28)\/(-98)*1\/(-2)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22765 and 3480.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 3*u**2 - 3*u**2. Let m(r) = r**2 + 3*r + 3. Let y(k) = 2*k**2 + 4*k + 4. Let a(h) = 4*m(h) - 3*y(h). Determine a(o(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43888458203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 79, 135?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)\/(-3 - -2). Suppose -t = 4*b - 12, -t - 2*b + 8 = -y*b. What is the units digit of (2\/t)\/((-2)\/(-68))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112041 is divided by 2385?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 281717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 62. Let z be k(6). Let n be ((z\/(-12))\/4)\/((-2)\/(-21)). Let h be (n\/28*-2)\/(2\/(-56)). Solve 0 = -2*l - 3*w + 14, -4*l + w + h = -0*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000416 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*t**2 + 108900*t + 148240125.\nAnswer: 5*(2*t + 5445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Let t be (-8)\/4 - -3 - -2. Let z(o) be the first derivative of 4 - 1\/3*o**t + 0*o**2 + 0*o. What is q(z(x))?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16376 and 2.321.\nAnswer: 38008.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, n: 4, r: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:24 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 110*m - 95. Let z be c(3). Find the third derivative of 235 - 219*h**2 - z + 89*h**3 + 169*h**3 wrt h.\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*x**3 - 160*x**2 + 138*x**3 + 2*x**4 + 1088*x + 690*x**2 + 512 + 112*x**2 = 0. Calculate x.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/7 - 24*s**2\/7 - 36*s\/7 + 8 = 0. Calculate s.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*t + 309*t**2 + 77 - 77 - 24*t - 22*t as x*t + q + j*t**2 and give j.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*c - 23, -4*c + 3*n - 31 = -6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s + 3. Let o(x) = x**2. Determine n(o(g)).\nAnswer: -20*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104 = -169*w - 389 + 468. Suppose -l = -4*l + 12. Let v(u) = -w*u - 8*u - u - l*u. Let h(x) = 5*x. Determine v(h(o)).\nAnswer: -100*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1664 and 25152.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 165086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.3, 0.02, -5\/6, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 61*h - 2 = -60*h, -2*g + 5*h - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163756399.\nAnswer: 7537, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 661 or 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*x + 54 = 0, 4*x = -5*y - 6037 + 6016 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, -5, 506, 3, -17.6, -0.4?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713564 and 6412?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(5) + 1)**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + u = 22, 0 = -4*q + q + 5*u + 34. Suppose -4*o - 48 = -q*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (3 + 4 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13900 divided by -5\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*g - 158*g + 172*g = 981*g + 112608 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*l**3*z - 95*l**3 + l**2*z wrt z.\nAnswer: 31*l**3 + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4107152 is divided by 139?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 303\/9 - (-4)\/(-6). Differentiate w*i**2 - 43*i**2 - 7 + 3 wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. What is the third derivative of -19*x - 3*x**2 - 3*x**f + 4*x**3 + 19*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -262, -16, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28 - 24 = 0. Suppose -2*o - i*x = -o - 31, 0 = -4*x + 12. What is the remainder when 73 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/30 - (1 + -1). Solve l = -4*f - d*f + 17, 0 = -2*f + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -6022\/3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l. Let f(w) = -w + 18. Let p be f(l). Let a(g) = g**3 - 7*g**2 + 7*g. Let d be a(6). Calculate the greatest common factor of p and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1 = -4*i, -7*i + 2*i = 2*x - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 108075 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(117) + 0 + 3 + (sqrt(117) - (2*sqrt(117) + -4)) + -4*-1*sqrt(117)*-3 + 0 + -1)**2.\nAnswer: -792*sqrt(13) + 16969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96446 or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 10.2215.\nAnswer: -4.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -54*h + 3. Let y be i(2). Let n = 30 - y. Calculate the highest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7691.999977005 + -7692. What is x rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1460, 3087, 4714?\n\"Answer: 1627*v - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 7\/6086328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s - 4*s)*(-2*s + 4*s + 4*s) as i*s**2 + z*s + u and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 7. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 196 - 196.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let k(f) = -20*f - 3. Let j(n) = -k(n) - 2*u(n). Calculate j(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - 53 - (-13 + 24 + -154)?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034860649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmcm when four letters picked without replacement from {c: 17, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -90738\/13 - 2\/13*j**2 + 852\/13*j = 0?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 124*o - 4*o**4 - 124*o + 4 - o**2 - 2*o**4 in the form f*o + w*o**3 + s*o**4 + c*o**2 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + f - 22 = 0, q = -2*f - 16 + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144914 by -77.\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -3 (c) 1\/3 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6516?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203664 and 165984.\nAnswer: 704270112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*k - 29 + 232 + 32 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (9 + -67 - -12) - -16 - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 0, 8*t - 176 = -o + 3*t. Let m = o + -1123\/7. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*y + 85*y - 12. Factor -403 - 3*l**y + 403 + 6*l.\nAnswer: -3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 1, 0.11, 1\/4 in increasing order.\nAnswer: -4\/15, 0.11, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5285066 - -7511066. Round v to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -5*j**2\/2 - 68*j - 41. Let v be o(24). Let c = 926 - v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/30 + 4*t**2. Let g(b) = 7*b. Determine d(g(r)).\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -0.3, -66, 0.16 in increasing order.\nAnswer: -66, -0.3, 0.16, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 111. Calculate the highest common divisor of 160 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/514976 and -58\/151613?\nAnswer: 92180704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6020 (base 13) to base 4.\nAnswer: 3032120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 15. List the prime factors of (7\/2)\/((-7)\/z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 3*u - 252. Calculate the remainder when 37 is divided by (-3)\/((u\/26)\/(-7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -337689, -337436, -337183?\n\"Answer: 253*b - 337942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4517 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6406 + -6405.6. What is the nearest to -1 in 10\/3, 4\/5, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -49620*n + 99037. Give o(2).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 + 6*f + 6. Let u be m(-6). Let s be (5 - 0)*u\/10. Let i(o) = -o**2 - 5*o + 7. Let x be i(-6). Solve -s - x = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8276 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 - (-495 - -219) - (9 + -1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19546)\/232 + 86)\/(-1*1\/20).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. Let y(q) = -10*q**2 - q - 9. Let u be y(p). Let f be (2\/((-8)\/(-14)))\/(17\/u). Which is the third smallest value? (a) f (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*p**4 + 8*p**3 - 9203*p**2 - 4279964?\nAnswer: -20*p**3 + 24*p**2 - 18406*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/((-189)\/406)*(-30)\/(-4). Let u = o + 460. What is the highest common divisor of 100 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 - 8 = 5*w, 5*z - 37 = 3*w. Let r be 1 + (-36)\/(-4) + 0. Let t = r - z. Solve 3*n = -2*n + t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 6829 - 20189 = 0. Does 56 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:02 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/252*4\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 5. Let v(m) = -m + 6. Let h(w) = 5*v(w) - 6*z(w). Let s be ((-2)\/(1\/(-1)))\/(14\/42). Let t(i) = -5*i**2 + 6*i - 6*i + s*i**2. Give h(t(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/20 - -3\/10. Suppose 0*d = 5*d + 625. Let f = -877\/7 - d. Which is the closest to f? (a) u (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876 divided by -820.\nAnswer: 219\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/9987120 and 161\/30.\nAnswer: 9987120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (174\/8)\/((-101)\/(-404))*309?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*1*-3)**2*4 + (-1*sqrt(175))**2*6 + 2*sqrt(175)*-1.\nAnswer: -10*sqrt(7) + 7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-30)\/(-80) - (-327)\/24) - -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 147 = 3*s - 3*d, s - 4*d + 53 = 0. Let q(t) = 53*t + 124. Let p be q(24). Let l = 8353\/6 - p. What is the common denominator of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559805584 divided by -104\nAnswer: -5382746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 3*a - 4*n, 0 = -5*n + 25. Suppose 4*x = 8, t + 160 = 2*t + a*x. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*p + 376 = 344, 0 = -5*o - 37*p + 592 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -146, -141, -134, -125?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 10787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510999232163667780 - 510999232163667786 - o**2.\nAnswer: -o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8615*f - 8626*f = -563717. List the prime factors of f.\nAnswer: 7, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20680, 20690, 20714, 20758, 20828, 20930?\nAnswer: 21070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 6*c - 301. Suppose -12*v + 7 - c = 0. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(2*(-3)\/6). Suppose -3*r = -5*r. Suppose r = w - 5*o + 7, 5*w - 5*o - 18 = 7. Solve b*q + 9 = -j - w, j = 3*q + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2679 - 0.0321. Let r be 0*1*-1*(-1)\/2. What is the closest to -1\/4 in -3, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 12*q + 35. What is s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 + -10 - (-3 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 + 226*y**2 - 5940*y = 0.\nAnswer: -135, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 132. Let p(j) = j - 130. Let q(o) = -4*f(o) - 5*p(o). Does 17 divide q(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38990 + -14688?\nAnswer: -53678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 11*z**5\/20 + 5*z**4\/12 - 5*z**3\/6 + 125*z. Let r(l) = -5*l**3 - 2*l**2 + 2*l. Let h = 9 + -4. Calculate h*r(f) + 2*s(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-5) - 2\/(-10). Solve -y*k + k + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*23\/(-828) + 10\/(-4)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 907, 2033, 3609, 5635, 8111, 11037?\n\"Answer: 225*n**2 + n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -31 - 17\/18*t**4 + 0*t - 4\/9*t**2 + 32\/27*t**3 + 2\/9*t**5. Suppose w(n) = 0. What is n?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*n + 7*n**2 - 61*n - 98 - 88*n - n**2 - 2*n**2 + n**2 + (-3 + 3 + n)*(2*n - 7*n + 4*n) - 2*n**2 - 4*n + 4*n to h*n + x + g*n**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/54*(1 - -5). Let u(q) = q**2 + 8*q + 4. Is u(x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from fwwffw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -7.459?\nAnswer: 37.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -342, -339, -336?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1\/3, 108 in descending order.\nAnswer: 108, 1\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 494172?\nAnswer: -494168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 6*f**3 - 6*f**3)*(-6 + 6 - f).\nAnswer: 12*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uynnu. What is prob of sequence un?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1054 + 1050. Is -0.5 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 39 = m + 174, 0 = -2*m - 5*t - 421. Let a = 239 + m. Let c(n) = -3*n - 2. Calculate the least common multiple of a and c(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*u**3 + 69147*u**2 - 5887337 wrt u?\nAnswer: -24*u**2 + 138294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/5 + -7\/15. Let o be (-2)\/(-54)*(-294)\/(-49). Which is the nearest to o? (a) -0.3 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*d**3 + 73*d**3 + 147*d**3 + 113*d**3)*(0 + 2 + 0)*(20 - 20 - 15*d) to n*d**2 + t*d + p*d**4 + a*d**3 + h and give p.\nAnswer: -8670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 7*d. Let c(m) be the second derivative of -m**2 + d*m**3 - 1\/6*m**4 + 5*m + 0. Find the first derivative of c(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = -2*r + 1062, -6678 = -13*r + 5*d. What is the highest common factor of r and 10492?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350919.\nAnswer: 3, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 8:56 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 52*f + 277. Determine z(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/30 - 5*v**4\/24 + 11*v**3\/6 - 8*v**2. Let d be c(9). Calculate the greatest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/15 - 232*b**4\/5 + 58796*b**3\/15 + 20064*b**2\/5 - 58798*b\/15 - 19832\/5 = 0.\nAnswer: -1, 1, 148, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 62. Find the third derivative of 5*w**2 - y + 88 - 9*w**2 - 5*w**6 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 + 0.22. Let m = g + -4.06. Suppose -i = 4 - 5. Sort 1\/3, i, -0.2, m in increasing order.\nAnswer: m, -0.2, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -120202211020?\nAnswer: 120202211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -27*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1035 (base 8) to base 10.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*c = 5*a - 68, 68 = 4*a + 5*c. Suppose a*z - 3920 = 13*z. Let k be (z\/24 - 2) + 1\/6. What is the highest common divisor of k and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7281 to two decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -380, -1153, -2328, -3911, -5908, -8325, -11168?\n\"Answer: -z**3 - 195*z**2 - 181*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f - 39*f + 56*f - 38*f.\nAnswer: 43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*k + 34 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 12*j**2 - 9*j - 22. Let b be h(11). Let r(l) = 2*l + 272. What is the units digit of r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73279587, -146559172, -219838757, -293118342, -366397927?\n\"Answer: -73279585*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0 - -3 - (-1 - (11 - -43))) + -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321968 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 39*d**3 + 6*d**2 + 19*d + 3. Let b(y) = -38*y**3 - 5*y**2 - 17*y - 2. Let l(i) = -6*b(i) - 5*r(i). What is the second derivative of l(w) wrt w?\nAnswer: 198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 32*r - 127. Suppose -3*b + l = -1415, 3*l = l - r. What is b rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12363063.\nAnswer: 3, 17, 242413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -17. Let x = d + 11. Solve x*b = -2*l + 4, 4*b = b + l - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -6*n + n, 96*t - 48*t + 15 = 5*n + 49*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/((-2)\/(-1)) + -3. Calculate the common denominator of -81\/2 and o\/(-4*6\/172).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 1)*57\/(-6). Let c = -66 + 55. Let r = c + j. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275781*g**2*m**2 + 3035186*m**2 with respect to g.\nAnswer: -551562*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15711254?\nAnswer: 2, 13, 23, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*n + 54, -4*n + 8*i + 30 = 3*i. Let s = -3321 - -3347. Calculate the lowest common multiple of n and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002538635 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106178 + -1.69610916?\nAnswer: 6106176.30389084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 - 19*y - 13. Let s be h(-4). What is the greatest common divisor of s and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 216.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + 1331?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/4? (a) -1373 (b) -1 (c) -0.3 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314017.\nAnswer: 11, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56186530, 112373085, 168559642, 224746201, 280932762, 337119325?\n\"Answer: b**2 + 56186552*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288441312.\nAnswer: 2, 71513791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 2. Let d(t) = -t + 3. Let f be d(2). Let j be f\/3 + 40\/15. Let w = 3 - j. Determine k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/20)\/((-13)\/(-65)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15407 = 5*p - u - 49817, p + 3*u - 13048 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 3. Let v(p) = 35*p. What is the remainder when 172 is divided by v(x)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*t - 46. Does 11 divide t\/15 - (-298)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/311 or -1?\nAnswer: -3\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + t**3 - 4*t + 14*t + 2 - 5*t. Let h be g(5). Let i(k) = k**3 + 2*k**2 - 4*k + 3. What is the remainder when i(h) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -55 in increasing order.\nAnswer: -55, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/14 + (-6)\/(-21). Suppose r*j = 4*f - 21, -4*f = 2*j - 9*f + 21. What are the prime factors of 10 + -4*j\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*v - 19, -16 - 10 = -2*u - 4*v. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -28*p - 34. Let x(l) = 9*l + 12. What is 3*o(a) + 8*x(a)?\nAnswer: -12*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*v**4 + 2*v + 6 - 18 + 2*v**2 - 111*v**4 + 2*v**3 + 10 as y*v**4 + b*v**2 + s*v + f + x*v**3 and give y.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27552956 and 3437.\nAnswer: 192870692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*54\/15)\/(534\/(-4005)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 - 697*k - 458726\/9.\nAnswer: -(k + 74)*(k + 6199)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zalplldzzd. Give prob of sequence dadz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 2 = 0. Is ((-31)\/u)\/(4\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 11. Put h, 0, -7 in ascending order.\nAnswer: -7, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.367 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 + -196.8. What is the nearest to 1 in 5, -15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2160589 + 2160588.997000106. Let j = 0.003 + q. What is j rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196 - 300. Let j = i + 442. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77044 - 27306 = 983*d - 17846 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 694168782 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 5\/2*q**2 + 5\/2*q**4 - q + 0.\nAnswer: q*(q - 1)*(q + 1)*(5*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 + h**2 + h - 7. What is the units digit of a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14444 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5776177 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 4684858?\nAnswer: 248297474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 11*t - 1. Let u be i(-5). Let r = u + -13. Calculate the remainder when 21 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*p - 16 = -0, 9 = 3*k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 24924*u + 1162592.\nAnswer: 4*(u - 6184)*(u - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + 1*sqrt(1331) + 0 + sqrt(1331)))**2.\nAnswer: 132*sqrt(11) + 5333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 987 and 63?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1716220, 3432441, 5148662, 6864883, 8581104, 10297325?\n\"Answer: 1716221*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -330 (b) -152139 (c) 1\/6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7284*t + 7286*t + q - 15, 0 = -t - 3*q + 20. Let a be (4\/(-2) + 2)\/(-1). Suppose a = 3*j - j - 4. Solve b + 2*s = 4, s = t*b - j*s + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 - 7. Let c = -66 - -57. Let a = 2 - c. What is the remainder when l(-5) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbxbbbxbbxx. What is prob of sequence bxb?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o - 24. Let z(i) = -3*i + 5. Let r(c) = 5*n(c) + 24*z(c). Let d(f) = -1. Let k(h) = 33*h**2 - 33. Let b(p) = 33*d(p) - k(p). Give r(b(q)).\nAnswer: -99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063476?\nAnswer: 2, 13, 58913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-15) + 10\/6. Let c(t) = 158*t**h - 159*t**2 - t + 6 + 6. Give c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262822909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 51. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3071 - 1.693. Let b = -2 - k. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 14. Let v be h(0). Let b be 1*-2*2\/v. Let x = 1789 - 1788.99. Do b and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002498 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*3\/(24\/4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plrorlxwrrpro. What is prob of sequence lwpr?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q + 2 = 0. Suppose -3*k = -c + 17, 18 = 4*c - q*k - 0*k. What is the remainder when 82 is divided by (168\/(-4))\/(c + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.90006178 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22 and (6\/(-8))\/(48\/100).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.116 (c) -3\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 176*x**2 + 360*x + 866. What is k(178)?\nAnswer: 1578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 0, 4*u + u = -4*q + 93. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2, 0.3, 474.\nAnswer: -2, 0.02, 0.3, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155 + (-4 - 6\/(12\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**3 - 3*g + 3*g)*(9999 - 20000 - 7798*g + 10001 + 31445*g) to the form i*g**4 + w*g**2 + h*g**3 + t + c*g and give i.\nAnswer: -23647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1995810 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:15 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 13 + 4 = -3*x, -x = -4*l + 8. Suppose -11*f = -f - 40. Suppose -p + 5 = -3*g + 21, g + f*p + 12 = 0. Solve -5 = -l*q + g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 271, 541, 809, 1075?\n\"Answer: -s**2 + 273*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16120 and 10075?\nAnswer: 80600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g - 119. Let z = 38 - 50. Let j be n(z). Calculate the greatest common factor of 143 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111010101010111011 (base 2) to base 14\nAnswer: d117d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5370953 to the nearest one thousand.\nAnswer: -5371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 12) to base 7.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -25*o + 9*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18720, 37441, 56162, 74883?\n\"Answer: 18721*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*c - 18, 3*c - 4 = -4*r - 0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15842\/15 or -1057?\nAnswer: -1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + c - 16 = -4, -4 = -2*k + 3*c. Is (2708\/(-8))\/(2\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 749 and 1150892.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001146688954 rounded to 7 dps?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, i: 1, b: 2, g: 1, u: 5, j: 1}. Give prob of sequence ugb.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -0.01878379347759\nAnswer: -22.98121620652241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.674 and -25047.\nAnswer: -25049.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-14)*k**10*k*k*(k\/(k\/k**(-4)))**(-14\/11) assuming k is positive.\nAnswer: k**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-5\/2)))\/u)**(4\/13))**31\/(u**(1\/5)*u*u\/u**(1\/3)*u*u**(-8)*u\/u**(-2\/5)) assuming u is positive.\nAnswer: u**(3518\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((2 - -3) + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6851039 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -8)*8\/12. Let v be -2 + (-2 + 1)*-6. Suppose 0*j + v*c = f*j, -3*j - c = -16. Solve -2*u + j*u + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) 9 (d) -0.2 (e) 2 (f) -0.8046\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 16, -5*i - 5*j - 21 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*m - 1077 = -181. Let j(q) be the second derivative of -q**4\/3 - 11*q**3\/6 + 4*q. Let a(f) = 2*f**2 + 6*f. Calculate m*a(x) - 4*j(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*l**2*q**2*w - 2*l**2*q**2 + l**2*q*w + 2*l**2*q*y + l*q**2 + 5*l*w*y + 2*y wrt w?\nAnswer: -15*l**2*q**2 + l**2*q + 5*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (22 - 260)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10539?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - (4637 - 4562)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1805 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and 4\/125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vvhvvhv.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 + 13*f - 6. Let k be h(-3). Calculate the highest common factor of k and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 1\/2*d**2 - 30*d + 0 - 1\/12*d**4 - 1\/6*d**3 + 1\/20*d**5. Determine f so that c(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) - 1 - (-198)\/(-8). Let m = q - -30. Suppose 2*n + 249 = 5*h + 4*n, 3*h - m*n - 137 = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3494*y - 28*y**2 + 1160*y + 1158*y + 1176*y - 2*y**2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1\/3*p**3 - 1 + 7\/2*p**2 + 5*p. Let j(f) be the first derivative of b(f). Differentiate j(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -747471?\nAnswer: -74746a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qktqqqkn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390368*n - 390343*n + 780710*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**4 + y. Let l = -397 + 398. Let q = 8 + -3. Let k(v) = -6*v**4 + 4*v**3 + 3*v**2 - 23*v. Let m(f) = l*k(f) + q*p(f). Factor m(a).\nAnswer: -a*(a - 3)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (204\/153)\/((-1)\/(-771)). Let s = j - -967. Which is smaller: -65 or s?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 - 6*n. Suppose 33 = -3*f - 3*b, 0*b + 5*b + 49 = -4*f. Let g be o(f). Solve 3*s - 2*s - 1 = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**4\/12 - 3*k. Let t(m) = m**2 - 3. Let h(u) = 3*s(u) + t(u). Differentiate h(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 178.121. Let x = d - -0.079. What is the nearest to -0.1 in 4\/7, 10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 2}. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 4*w**2 + 0*w**2)*(2*w + 43560*w**2 + w**3 - 43560*w**2 + 53).\nAnswer: 2*w**5 + 4*w**3 + 106*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 106*f\/3 - 1040.\nAnswer: -2*(f - 120)*(f - 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13140 (base 5) to base 9\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**2 - 8*n**2 + 15*n**2 + (2*n**2 + 2*n**2 - 5*n**2)*(3 - 2 - 4) + (2*n - 1 + 1)*(-2 - 2*n + 2) + 2*n**2 - 5*n**2 - n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*t - 0*t + 4*w, -3*t = 2*w - 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**5 + 5*w**4 - 6*w. Let d(x) = x**5 - x. Let l(u) = 6*d(u) - p(u). Factor l(f).\nAnswer: 5*f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*x - 224, -50 - 27 = -x - 2*n. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 5. Let v be y(16). Suppose -15*g = -v*g + 30. Calculate the greatest common factor of 25 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and -19.443.\nAnswer: -4.08303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 34. Determine l(-10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -647 + 644. Let s = 7 - 4.5. Let i = s - 3. Which is the closest to 0.1? (a) i (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -12. Suppose -2*x + s = 2*x. Let a = x + 16. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1661 or 260820\/157?\nAnswer: 1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 331 in 2, -20, -228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -5, 1.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665264161 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:03 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097342733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8450430 divided by -1986\nAnswer: -4255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/13))**41)**(-29) assuming b is positive.\nAnswer: b**(-3567\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 257, -5, -0.4, -4, 214, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 6*b**2 - 2*b + 2. Suppose 2*k + 20 = -2*k - o, 8 = -2*k - o. Let d be x(k). Suppose 49 = u + d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26163756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12014704?\nAnswer: 2, 13, 47, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6754 divided by -19.\nAnswer: -6754\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 18 + (8 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 43. What is the units digit of ((-1)\/((-10)\/(-35)))\/(i\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151.565991612+-40\nAnswer: 111.565991612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 13. What is the units digit of g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 17 - 6 + 4 - 1 - 2 + (2 - 4 + 0)*(0 + 0 + 1) - 1 + 6 - 3 - 28 + 17 - 1)*(3*f**3 - 4*f**3 + 3*f**3) to k + t*f + p*f**3 + c*f**2 and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slj when three letters picked without replacement from uhjjujpuljuuhsp.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53800400?\nAnswer: 2, 5, 19, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 41*a + 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/14000 and 59\/96?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16903654 + -614?\nAnswer: 16903040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8846614 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 58 = -31. Let z = 93 + d. Solve 0*l + 4 = z*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4205023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905550131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2958?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**2*r*u - 2*j**2*u*v + 2*j**2*u - 3*j*r*v - 12*r*u*v - 16*r*u wrt v.\nAnswer: -2*j**2*u - 3*j*r - 12*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + 1)*-2. Suppose 0 = -l*i - 2*r + 33998, -15309 - 18696 = -2*i + 5*r. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*u - 14 = 0, 14 - 1 = -q + 3*u. Sort -3, q, 3 in decreasing order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.20317 micrometers to centimeters.\nAnswer: 0.007420317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 106, 203, 334?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}